Note: Figure is not drawn to scale.
If r = 10 units and x = 13 units, then what is the volume of the cylinder shown above?
V cylinder =
2h
O A.
460 T cubic units
OB. 130 cubic units
oc. 1,300 cubic units
OD. 5,200 cubic units​

Answers

Answer 1

Final answer:

To find the volume of the cylinder with a given radius of 10 units and height of 13 units, we use the formula V = πr²h, which yields an approximate volume of 4085.48 cubic units using π as 3.1416. The nearest given option is C (1300 cubic units), although the calculated volume does not exactly match any of the provided choices.

Explanation:

To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder. Given the radius r as 10 units and the height x (which likely represents the height h in this context) as 13 units, we plug these values into the formula:

V = π(10²)(13) = π(100)(13) = 1300π cubic units.

Since π is approximately 3.1416, the volume is approximately:

V ≈ 1300(3.1416) ≈ 4085.48 cubic units.

As none of the multiple-choice options provided exactly match this calculated volume, this could indicate a typo or error in the question or options. However, if we use a rounded value of π as 3.14, then:

V ≈ 1300(3.14) ≈ 4082 cubic units.

The closest match to this calculated volume is option C (1300 cubic units). However, the student should verify the precision of π used in their classroom or the context of the question to ensure this match is consistent with their requirements.


Related Questions

Type an equation for the following pattern

Answers

Answer:

y = x + 2

Step-by-step explanation:

It looks like its adding 2 everytime.

y = x + 2

The population of a small town is given by the function p=35t+1450,where t is the number of years since 2015. What would the town's population be in 2020

Answers

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------------------

Answer: The population is 1,625.

So the equation is:

p = 35t + 1,450.

t = the number of years since 2015.

2020 - 2015 = 5.

So now we are in 2020, which is 5 years ahead from 2015.

So: t = 5.

Now we need to rewrite the equation, then evaluate.

35(5) + 1,450 =

175 + 1,450 =

 1,625

A ladder that is 20 feet tall is leaning against a building.Samuel measures that the base of the ladder touches the ground 12 feet from the base of the building.How far from the ground does the top of the ladder touch the building?

Answers

Answer:

The distance from the ground to the top of the ladder the building is touched is 16 feet.

Step-by-step explanation:

Given:

A ladder that is 20 feet tall is leaning against a building.Samuel measures that the base of the ladder touches the ground 12 feet from the base of the building.

Now, to find the distance from base of the building to the top of the ladder where building is touched.

Here, to understand the situation below is the figure attached:

Now, to get the distance from the ground to the top of the ladder where the building is touched we use pythagorean theorem:

[tex]AB^2+BC^2=AC^2\\\\AB^2+12^2=20^2\\\\AB^2+144=400\\\\Subtracting\ both\ sides\ by\ 144\ we\ get:\\\\AB^2=256\\\\Using\ square\ root\ on\ both\ sides\ we\ get:\\\\AB=16\ feet.[/tex]

Therefore, the distance from the ground to the top of the ladder the building is touched is 16 feet.

A zookeeper created the following stem-and-leaf plot showing the number of sloths at each major zoo in the country:

0
1
2
3
4


3
6
7
7
0
4
0
1
1
2
4
7
9
9
1
2
3
5
7














00
10
20
30
40















3
6
0
0
1


0
7
4
1
2


7
0
1
3


0
2
5


4
7


7
0


9


9


0


Key:
4



1
=
41
4∣1=414, vertical bar, 1, equals, 41 sloths
How many zoos have exactly
17
1717 sloths?

Answers

Final answer:

By interpreting the stem-and-leaf plot, it is found that no zoos have exactly 17 sloths.

Explanation:

In the stem-and-leaf plot, we locate the stem which corresponds to the number '1', and then we check the corresponding leaves. In this case, the appropriate stem is '1' and the leaves under this stem correspond to the tens place of the number of sloths. So, now we check the leaf '7' under stem '1'. Seeing the 7 in the ones place next to the stem of 1, we find that there is no such instance in the plot. Therefore, we can conclude that no zoos have exactly 17 sloths.

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Stem-and-leaf plots represent numerical data in statistics. The analysis of the provided stem-and-leaf plot reveals that 2 zoos have exactly 17 sloths.

Stem-and-leaf plots are used in statistics to represent numerical data. Each observation is divided into a stem (leading digit(s)) and a leaf (final significant digit). In the given plot, if a zoo has exactly 17 sloths, then the stem is 1 and the leaf is 7. By looking at the plot, it can be observed that there are 2 zoos with exactly 17 sloths.

here is the full question- A zookeeper created the following stem-and-leaf plot showing the number of sloths at each major zoo in the country:

0 3

1 6 7 7

2 0 4

3 0 1 1 2 4 7 9 9

4 1 2 3 5 7

Key: 4|1=41 sloths How many zoos have exactly 17 sloths? x=frac =frac (-)²(-)² 2005.

A thanksgiving day promotion included $1 mail-in rebate for the purchase of a turkey wing at least 20 lb. Esther Robert purchased a 22-pound turkey for $1 and seventy-nine a pound. What did it cost for after rebate if an envelope cost $0.15 and a stamp cost $0.39?

Answers

Answer:

$38.92

Step-by-step explanation:

In this question, we are calculating the amount it would cost purchasing a turkey wing after giving some rebate.

Firstly, we calculate the cost of purchasing 22 pounds turkey

That would be 22 * $1.79 = $39.38

Now we subtract the cost of the rebate ;

That would be $39.38 -$1 = $38.38

Now, we add the envelope cost and the stamp cost

That would be $38.38 + $0.39 + $0.15 = $38.92

Final answer:

The final cost of the 22-pound turkey after accounting for the price per pound, mail-in rebate, and the costs of an envelope and stamp is $38.92.

Explanation:

The cost of a 22-pound turkey at $1.79 per pound is calculated first, then subtract the $1 mail-in rebate, and finally add the costs of the envelope and the stamp required for the rebate.

First, find the total cost of the turkey without the rebate:

22 pounds × $1.79 per pound = $39.38

Next, add the cost of the envelope and stamp:

Envelope: $0.15Stamp: $0.39Total for envelope and stamp: $0.15 + $0.39 = $0.54

After receiving the rebate of $1, the final cost is calculated:

Total cost before rebate: $39.38Total cost for envelope and stamp: $0.54Cost after rebate: ($39.38 + $0.54) - $1 = $38.92

Therefore, the final cost of the turkey after the rebate is $38.92.

17 POINTS WHOEVER ANSWERS THIS ASAP

Answers

Answer:

It's correct answer is A.

Answer:

A represents the connector of X and Y.

Step-by-step explanation:

Find the percent increase. Round to the nearest percent. From 97 books to 120 books

Answers

Answer:

It's a 19 percent increase.

Step-by-step explanation:

Divide 97/120, then multiply it by 100. After that, you can subtract the answer by 100. The answer will be negative, so make it positive.

The volume of the oblique cylinder is 24 ft^3. Which statements are true? Check all that apply.

-The height of the cylinder is 3.4 ft
-Diameter is about 4.5 ft
-Diameter is about 3 ft
-Radius is about 6 ft
-A right cylinder with the same height and radius of this oblique cylinder would also have a volume of 24 feet cubed

Answers

Answer:

The correct options are 1, 3, and 5

Step-by-step explanation:

for what values of xis x + 2x = 24 true?
4 and -6
6 and 4
-tland 6
-6 and -4

Answers

Answer:

-6 and 4

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

-6 and four is the correct answer

A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The 98% confidence interval for the true average age of all students in the university is:________
a. 20.0 to 30.0
b. 20.5 to 26.5
c. 23.0 to 27.0
d. 24.4 to 25.6

Answers

Answer:

The correct option is;

d. 24.2 to 25.6

Step-by-step explanation:

Here we have a sample with unknown population standard deviation, we therefore apply the student t distribution at 64 - 1 degrees of freedom

Therefore, we have

[tex]CI=\bar{x}\pm t\frac{s}{\sqrt{n}}[/tex]

Where:

[tex]\bar x[/tex] = Mean = 25

σ = Standard deviation = 2

n = Sample size = 64

t = T value at 98% = [tex]\pm 2.387[/tex]

Which gives

[tex]CI=25\pm t_{63}\frac{2}{\sqrt{64}}[/tex]

That is the value is from

24.40325 to 25.59675 which gives,by rounding to one decimal place, is

24.4 to 25.6.

The 98% confidence interval for the true average age of all students at the university, given a sample mean age of 25, standard deviation of 2, and a sample size of 64, is approximately option (d) 24.4 to 25.6 years.

The 98% confidence interval for the true average age of all students in the university can be calculated using the sample mean, the sample standard deviation, and the size of the sample. Since the population standard deviation is unknown and the sample size is less than 30, we use the t-distribution to find the critical value (t).

First, we find the t-score corresponding to a 98% confidence level with 63 degrees of freedom (n-1 = 64-1). Using a t-distribution table or calculator, the t-score is approximately 2.390.

Next, we calculate the margin of error (ME) using the formula:
ME = t * (s/√n)
where s is the sample standard deviation and n is the sample size. Plugging in our numbers:
ME = 2.390 * (2/√64) = 0.5975

Finally, we add and subtract this margin of error from the sample mean to find the confidence interval:
CI = mean ± ME
CI = 25 ± 0.5975
CI = (25 - 0.5975, 25 + 0.5975)
CI = (24.4025, 25.5975)

Therefore, the 98% confidence interval for the true average age is approximately 24.4 to 25.6 years.

Write all functions that are symmetric about the​ y-axis. Choose from the following six circular functions. yequals=sine xsinx​, y equals=cosine xcosx​, y equals=tangent xtanx​, yequals=cotangent xcotx​, y equals=secant xsecx​, and yequals=cosecant x

Answers

Answer:

Hence the function only :

Secx and Cosx functions are symmetric about y-axis

And remaining functions are not symmetric about y-axis.

Step-by-step explanation:

Given:

Six circular function as :

y= sinx ,y=cosx , y=tanx,  y= cotx ,y=secx  y=cosecx

To Find:

Which functions are symmetric about the y-axis

Solution:

The function is said to be symmetric about the y-axis is given by

f(x)=f(-x)

Now

1)For y=sinx  i.e. f(x)=sinx

So put x=-x

f(-x)=sin(-x)

=-sinx

Hence f(x)≠f(-x)

This function is not symmetric about y-axis

2)For y=cosx ,i.e. f(x)=cosx

put  x=-x

f(-x)=cos(-x)...............(as value for x and -x cos value remain the same )

=cosx

hence f(x)=f(-x)

This function is symmetric to the y-axis

3)For y=tanx     i.e   f(x)=tanx

put  x=-x

f(-x)=tan(-x)

=-tanx

Hence f(x)≠f(-x)

This function is not symmetric about y-axis

4)For y=cotx  i.e.  f(x)=cotx

Using above observation,

f(x)≠f(-x)

This is not symmetric about y-axis

5)For y=secx  i.e f(x)=secx

f(x)=f(-x)

This function is symmetric about y-axis.

6) for y=cosecx

f(x)≠f(-x)

This function is not symmetric about y-axis

In Mr. Harold's class there are 12 students. They each have 5 pencils. Some of the students, s, each lost 2 pencils. Now, the students only have a total of 38 pencils left. Which equation represents this situation?
A. s × 2 = 38
B. (12 × 5) - s = 38
C.(12 × 5) - (s × 2) = 38
D. (s × 2) - 12 = 38

Answers

The answer would be C. (12 x 5) - (s x 2) = 38.

This is because if there are 12 students with 5 pencils per student, we can say 12 x 5. Then, think of the phrase, two pencils lost per student. That would be 2s, or (s x 2). Since it’s lost, we would subtract that amount from 12 x 5.

Autumn creates bracelets as a hobby and is planning to start selling them online for $10 per bracelet. Autumn has already sold 5 custom bracelets. Her bracelets are so popular that she expects to sell every bracelet that she makes. Write an equation for the amount of money Autumn makes. If Autumn makes and additional 24 bracelets, how much money will she make?

Answers

Answer:

(24*10)+50=290

Step-by-step explanation:

a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount

b) The amount Autumn makes is $ 290

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

a)

Let the number of bracelets Autumn sells be = x

Let the cost of one bracelet be = $ 10

Now , the equation will be

So , the cost of x number of bracelets y = number of bracelets x cost of one bracelet

The cost of x number of bracelets y = 10x

So , the equation is y = 10x

b)

The equation is y = 10x

The cost of 5 bracelets = 10 x 5

                                       = $ 50

Now , the cost of 24 bracelets = 24 x 10

                                                  = $ 240

So , the total amount Autumn makes = cost of 5 bracelets + cost of 24 bracelets

The total amount Autumn makes = 240 + 50

                                                       = $ 290

Hence ,

a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount

b) The amount Autumn makes is $ 290

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Monkey at the zoo eat 4 cups of food every day elephants eat 76 times as much which equation and solution represent the number of cups of food elephants eat per day ?

Answers

Answer:

X = 76*4

= 304 cups of food

Step-by-step explanation:

Given:

Monkey eat 4 cups of food / day Elephants eat 76 times as much as Monkey does / day

So Let X is the number of cups of food that elephants eat per day, we have the equation:

X = 76*4

= 304 cups of food

Hope it will find you well.

I need help! Idk what the answer is.

Answers

The answer is c -3 and 5

A p-value is the a. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed b. value of the test statistic c. probability of a Type II error d. probability corresponding to the critical value(s) in a hypothesis test

Answers

Answer:

a. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed

Step-by-step explanation:

In Statistics, a p-value also known as the probability value is the probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed.

The p-values can be calculated by using spreadsheets, statistical software and p-value tables and is widely used in research fields such as economics, physics, sociology, accounting etc.

The p-value can be mathematically expressed as a function of the null hypothesis, H and the random variable, X.

find the value of y in the given triangle

Answers

Given:

In the given triangle,

With respect to y, Perpendicular = 10 cm and Base = 8 cm

To find the value of y.

Formula

By Trigonometric Ratio we get,

[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]

Now,

Putting the values of perpendicular and base we get,

[tex]tan\theta = \frac{10}{8}[/tex]

or, [tex]\theta = tan^{-1} (\frac{10}{8})[/tex]

or, [tex]\theta = 51.34 ^\circ[/tex]

Rounding off to the nearest tenth, we have;

[tex]\theta = 51.3 ^\circ[/tex]

Hence,

The value of y is 51.3°.

5.Find the domain of the following function:

y=x+2
__________
x^2 + 2x −8

Select the appropriate response:

A) x equals −4, 2
B) x cannot equal −4, 2
C)Not possible to solve

Answers

Answer:

(-∞,∞)

B) x cannot equal -4, 2

Step-by-step Explanation:

The function, y = x + 2, has a domain of (-∞,∞) because the equation will remain true no matter number you plug for x.

For the second question, x would be equal to -2 and 4.  You can find this by factoring the equation.  x² + 2x - 8 = (x - 2)(x + 4)  Your answer should be B

Answer:

B) x cannot equal −4, 2

Step-by-step explanation:

x² + 2x - 8 = 0

When x = -4, 2

When the denominator becomes zero, function becomes undefined

Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only 10 new hires had prior experience without a college degree. What is the approximate probability that a new hire has a college degree but no experience?

Answers

Answer:

Step-by-step explanation:LOOK IN PG 1 OF PDF 3 QUESTION.

HOPES THIS WAS HELPFUL

The required probability is 9/23

What is probability?Probability is the chance of happening of an event.Probability is always ≤ 1How to find  the approximate probability that a new hire has a college degree but no experience?

According to the problem,

Of the last 230 new hires at a company, 220 had college degrees 140 had prior experienceOnly 10 new hires had prior experience without a college degree

Number of students with experience and a degree = ( 140 - 10 ) = 130

Number of students with only degree = (220 - 130) = 90

Probability that a new hire has a college degree but no experience              = 90/230 = 9/23

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Higher Order Thinking A recipe calls for
3 tablespoons of pineapple juice. A can of
pineapple juice is 12 fluid ounces. How many
teaspoons of juice are in the can?

Answers

In response to the question, we may say that As a result, the can expression contains 72 tablespoons of pineapple juice.

what is expression ?

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To begin, we must convert the provided measurements to the same unit.

2 tablespoons = 1 fluid ounce

3 teaspoons = 1 tablespoon

Thus, 12 fluid ounces of canned pineapple juice equals:

12 fluid ounces divided by 2 tablespoons per fluid ounce is 24 tablespoons

And because we need to know how much juice is in teaspoons, we can convert tablespoons to teaspoons by:

72 teaspoons = 24 tablespoons × 3 teaspoons/tablespoon

As a result, the can contains 72 tablespoons of pineapple juice.

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Find a standardized test statistic and use the t-distribution to find the p-value and make a conclusion using a 5% significance level. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

Answers

Answer:

1 μ = M μ ≠ M 2

2 μ > M μ < M 1

3 μ < M μ > M 1

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. T

Maura can buy daffodil bulbs in packages of 3 for $5.37 or in packages of 2 for $4.52. How much money does she save by buying 30 bulbs at the better price?

Answers

Final answer:

Maura saves $14.10 by purchasing 30 daffodil bulbs in the more economical 3-bulb packages instead of the 2-bulb packages.

Explanation:

To determine how much Maura saves by buying 30 daffodil bulbs at the better price, we first need to calculate the price per bulb for each package option and then find the total cost for 30 bulbs. Let's compare the two package options:

Package of 3 bulbs for $5.37: The price per bulb is $5.37 / 3 = $1.79 per bulb.Package of 2 bulbs for $4.52: The price per bulb is $4.52 / 2 = $2.26 per bulb.

The package of 3 bulbs has a better price per bulb than the package of 2 bulbs. To buy 30 bulbs at the better price, Maura would need 10 packages of 3 bulbs, which will cost:

10 packages × $5.37 per package = $53.70

Now let's calculate how much it would cost if she bought the 2-bulb packages:

Since 30 is an odd number, Maura would need to buy 15 packages of 2 bulbs to get 30 bulbs. This will cost:

15 packages × $4.52 per package = $67.80

Maura saves by purchasing the 30 bulbs in 3-bulb packages:

$67.80 - $53.70 = $14.10

Therefore, Maura saves $14.10 by purchasing the 30 bulbs in the more economical 3-bulb packages.

(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r⃗ (t) for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π.

Answers

Answer:

The required vector parametric equation is given as:

r(t) = <3cost, 3sint>

For 0 ≤ t ≤ 2π

Step-by-step explanation:

Given that

f(x, y) = <2y, -sin(y)>

Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form

(x - 0)² + (y - 0)² = r²

Which is

x² + y² = 9

Because

cos²β + sin²β = 1

and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write

x = 3cosβ

y = 3sinβ

So that

x² + y² = 3²cos²β + 3²sin²β

= 9(cos²β + sin²β) = 9

That is

x² + y² = 9

The vector parametric equation r(t) is therefore given as

r(t) = <x(t), y(t)>

= <3cost, 3sint>

For 0 ≤ t ≤ 2π

The vector parametric equation for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π is:

[tex]r(t) = <3cost, 3sint>[/tex]

 

We have

[tex]f(x, y) = <2y, -sin(y)>[/tex]

As C is a circle centered at the origin (0, 0), with radius r = 3,

So, equation is:

[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]

[tex]x^2+ y^2 = 9[/tex]

 As, cos²β + sin²β = 1

 Take ,

x = 3cosβ

y = 3sinβ

Then

[tex]x^2 + y^2 = 3^2cos^2\beta + 3^2sin^2\beta\\= 9(cos^2\beta + sin^2\beta) \\= 9\\x^2 + y^2 = 9[/tex]

The vector parametric equation r(t) is therefore given as

[tex]r(t) = <x(t), y(t)>[/tex]

[tex]= <3cost, 3sint>[/tex]

For 0 ≤ t ≤ 2π

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BRAINLIEST AWARDED TO FIRST CORRECT ANSWER NEED ASAP! AND 20 POINTS!! The table shows the cost for taxi rides of various distances. Which graph displays the same function?

Answers

Answer:

b because it cost u more for a certain distance

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

John is driving around town. When he reaches the gas station, he notes that he has traveled 10 miles. He reaches home 2 hours later and notes that he has traveled 30 miles.

If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
A. d = 10t - 10

B. d=20 + 10 t

C. d= 10t + 10

D. d= 10t + 40

Answers

Answer:

C. d = 10t + 10

Step-by-step explanation:

If d represents the distance, you know that the equation on the other side has to have +10 included in it because this was stated in the problem (he has traveled 10 miles). C is the only option with +10, but if you'd like a further explanation on the 10t part... by the end of his trip, he has traveled 30 miles total.  Subtract the 10 he initially traveled before arriving at the gas station, and he has traveled 20 miles in two hours. 20 (miles) / 2 (hours) = 10, so after the gas station, he traveled at an average speed of 10 mph. We now know that he traveled 10 miles, plus another 10 miles for every additional hour (t) he travels after that. This gives us d = 10t + 10.

C. d= 10t + 10
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Kevin makes several cone-shaped candles. He uses a cone mold that has a height of 15 centimeters and a diameter of 10 centimeters. How much wax is needed to make 3 cone-shaped candles?

Answers

Answer:

1,177.5cm^3 of candle wax will be required.

Step-by-step explanation:

The attached files contain further information so please check them.

How many times did the team score 6 runs? Line plots and Histogram

Answers

Answer:

If you're asking about which graph would be better, you can show it by a histogram best.

Step-by-step explanation:

Sorry if this is not your question if not I misunderstood, but a line graph is to measure the changes between data, while histograms measure a single measurement for each subject matter. So the best graph to display this info would be through a histogram

What’s the answer to this ?

Answers

Answer:

16 ^3/4 = 8

Step-by-step explanation:

distribute the exponential fraction.

how many points appear in the figure


Answers

5 each dot is a point

Find the balance in an account after 8 years if $500 is invested at 7% interest compounded annually

Answers

Answer: 280

Step-by-step explanation:

??/500=7/100

7x500/100

35/500=7/100

35x8=280

I think this is the answer.

Answer:

$859.09

Step-by-step explanation:

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At a family reunion, there were only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and grandparents were in attendance when was the mexican railway completed I need help me with this ASAP How much heat is required to vaporize a 3 g ice cube initially at 0C? The latent heat of fusion of ice is 80 cal/g and the latent heat of vaporization of water is 540 cal/g. The specific heat of water is 1 cal/(g C). Answer in units of cal. In the Princess Bride what is the direct quote where Westly confesses his love to buttercup.. The dot plots below show the number of hummingbirds spotted per day at two different feeders. The variability at each feeder is 3.168. The difference between the median number of hummingbirds spotted per day at each feeder is approximately how many times the variability? Need help will mark brainiest Where will the different sections of the box plot be located? The box will go from 27. A line dividing the box will go at. The left whisker will go from 11 to. The right whisker will go from 33.The five values for a data set are:minimum = 11lower quartile = 12median = 23.5upper quartile = 27maximum = 33A number line going from 0 to 40 in increments of 5. A ray of light traveling in air strikes a flat 2.00 cm thick block of glass (n = 1.50) at an angle of 19.0 with the normal.?a) Trace the light ray through the glass, and find the angle of refraction for light passing from air to glass. Answer in units of .b) Find the angle of refraction for light passing from glass to air. Answer in units of . Some have argued that Unix/Linux systems reuse a small number of security features in many contexts across the system, while Windows systems provide a much larger number of more specifically targeted security features used in the appropriate contexts. This may be seen as a trade-off between simplicity and lack of flexibility in the Unix/Linux approach, against a better targeted but more complex and harder to correctly configure approach in Windows. Discuss this trade-off as it impacts on the security of these respective systems, and the load placed on administrators in managing their security Help me Please! Find the volume and surface area for all. A metal cube has sides of length 4.5 cm, correct to the nearest 0.5 cm.The cube is melted down and the metal is used to make small spheres.Each sphere has a radius of 3 mm, correct to the nearest millimetre.Work out the greatest number of spheres that could be made from the metal. helpppppppppppppp the ss are the storyWhich statement best describes how flashbacks affect this story? a) They demonstrate why Justine is interested in fashion.b) They make clear the odd relationship Justine has with her family.c) They reveal Grandmas feelings about Justine's embarrassment.d) They help develop and explain the anxiety Justine feels. What 3 ratios are equivalent to 5:15? pls help me ASAP! What does "equal protection under the law" mean? Polar Industries makes refrigerators. Polars management wants to market refrigerators to students in dorm rooms and small apartments by making a compact refrigerator. The competition, led by Walmart, prices small refrigerators at $76 each. The production manager at Polar Industries estimates that the small refrigerator could be produced for the following manufacturing costs.Direct materials $24 Direct labor 10Manufacturing overhead 8 Total $42 Polar's management wants to make an operating margin of 10 percent (operating margin equals revenues minus manufacturing costs).Suppose Polar uses cost-plus pricing, setting the price to manufacturing costs plus 10 percent of manufacturing costs, What price should it charge for the refrigerator? PLEASE HELP I WILL MARK YOU AS BRAINLIEST! Jon ate too many holiday cookies and gained 2.2, point, 2 kilograms in December. Then he went on a diet and lost 1.5, point, 5 kilograms in January. Then he lost another 3.7, point, 7 kilograms in February. Jon wants to know what the total change in his weight was over these three months.Which of the following equations matches the situation above?Choose 1 answer:(Choice A)2.2+(-1.5)+(-3.7) = (Choice B)2.2+1.5-3.7 = (Choice C)None of the above Please help Im confused Which of the following were reasons that the Freedmens Bureau ultimately failed in its mission? Check all of the boxes that apply. lack of authority to enforce laws opposition in Congresslack of interestopposition in the Southtoo many new laws