Please help! I will mark brainliest.

Sean opened a savings account and deposited $1,000.00 as principal. The account earns 6% interest, compounded annually. What is the balance after 7 years?

Use the formula A=P(1+ʳ/ₙ)ⁿᵗ, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.

Round your answer to the nearest cent.

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Reason :

__________________________________________

The reciprocal of the given fraction 11/7 is 7/11.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.

The given fraction is 11/7.

The reciprocal of the given fraction is the fraction that results from switching or reversing the numerator and denominator.

The reciprocal of the fraction is 7/11.

Therefore, the reciprocal of the fraction is 7/11.

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Answer:

P(4)= 1/6

Step-by-step explanation:

Lots of Love!! <3

Stay Safe! Stay at Home!! =)

Answer:

Step-by-step explanation:

no of sample space, n(s) = 6

no of favorable cases , n(e) = 1

Probability of getting 4,

P(e) = n(e) / n(s)

       = 1 / 6

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money invested.

P represents the principal or amount of money invested.

R represents interest rate on the investment.

T represents the duration of the investment in years.

From the information given,

P = $14000

R = 2.5%

T = 7 years

Therefore,

I = (14000 × 2.5 × 7)/100

I = $2450

The total amount that the CD would be worth after 7 years is

14000 + 2450 = $16450

Answer:

Value of CD in total at the end of 7 years when the CD matures is $16646

Step-by-step explanation:

This is based on the formula A= P(1+r)^ n

where r = annual rate of interest,

           P = Principal amount,

           n = number of years

p = 14000

r = 2.5

n = 7

A = 14000 ( 1+ 0.025) ^ 7

= 14000 ( 1.025)^7

=14000 x 1.189

=16646

A = $16646

Answer:

1 3/4 cups

Step-by-step explanation:

In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so

(8 * 4) + 3 =  [tex]\frac{35}{4}[/tex]

Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.

[tex]\frac{35}{4} / 5 = \frac{7}{4}[/tex]

So each container will get 7/4 of the Stew or 1 3/4 cups

Answer:

Each container = 1 3/4 cups

Step-by-step explanation:

*** There are 8 3/4 cups of stew that MUST be put into five containers EQUALLY.

*** We are basically required to calculate the number of cups of stew that must be in each container.

Since 8 3/4 cups of stew needs to be equally distributed and placed in just about five containers, we will need to first convert 8 3/4 cups which is in mixed fraction into improper fraction in order to enable us to calculate successfully.

8 3/4 = [(4×8)+3]/4

= 35/4

We will now use a little bit of the principle of proportion to get through this:

If 8 3/4 cups must be equal in five containers, then one container will have ? number of cups:-

5 containers --------- 35/4 cups

1 container ---------- ? cups.

1/5 × 35/4

= 7/4 cups.

We will now convert it back to mixed fractions and we will have 1 3/4 cups.

Therefore, each container we will contain 1 3/4 cups

Answer:

Answer: 3x + 3 = 2x + 1

Answer: 3x + 3 = 2x + 1 <=>3x - 2x = 1 - 3

Answer: 3x + 3 = 2x + 1 <=>3x - 2x = 1 - 3 <=> x = -2

Answer:

8 and 40

Step-by-step explanation:

Both area multiples of 8:

8, 16, 24, 32, 40

40 = 8 × 5

Since 5 is prime, it can only be:

8 and 40

Answer:

y= 12x + 5 for part A, part B is 89 thousand miles

Step-by-step explanation:

Just copy the answer you nerd.

Answer:

Lengths can't be negative

Step-by-step explanation:

Dimensions of the base are:

(8.5-2x) × (11 - 2x)

Since length cannot be negative:

x > 0

8.5 - 2x > 0

2x < 8.5

x < 4.25

11 - 2x > 0

x < 5.5

The set of values of x which satisfies all is:

0 < x < 4.24

The information given results in one triangle. By applying the law of sines and trigonometric relation, we find the angles A=107.52, B=30, C=42.48 degrees for a triangle with sides b=6, c=8.

The problem deals with the Law of Sines which can be used to determine if a triangle exists given two sides and a non-included angle. According to the law of sines, ratio of the length of a side to the sine of the opposite angle is the same for all  three sides of a triangle. Using this, we can determine whether the given conditions lead to a valid triangle.

Given: b = 6, c = 8, B = 30 degrees

1. Compute the value of sin(B) = sin(30) = 0.5 (using standard angle values).

2. Apply the law of sines to compute the missing angle. You get sin(C) = c*sin(B)/b = 8*0.5/6 = 0.67

3. Check sin(C): if sin(C) is greater than 1 or less than -1, no triangle exists. If sin(C) = 0.67, we get C = arcSin(0.67) = 42.48 degrees.

4. To find the third angle A, use the relationship 'Sum of angles in a triangle' equals 180. Hence, A = 180 - B - C = 180 - 30 - 42.48 = 107.52 degrees. We know that in a triangle, no angle can exceed 180 degrees, hence A=107.52 degrees confirms that the triangle is possible.

Hence given information results in one triangle with sides b=6, c=8 and angles A=107.52, B=30 and C=42.48

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The given information results in one triangle. To solve the triangle, we can use the Law of Sines.

The given information of b=6, c=8, and B=30 degrees results in one triangle.

To solve the triangle, we can use the Law of Sines.

By plugging in the values, we can find the length of side a using the formula: a = (b * sin(A)) / sin(B).

After substituting the values, we find that the length of side a is approximately 3.464 units.

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Answer:

Ethan

Step-by-step explanation:

In the scenario presented, Ethan is right to say that adjacent angles are not supplementary. This is as a result of the fact that no other condition was attached.

Adjacent angles are only supplementary "if they are all on a straight line" as in Mia's case.  This is a special case and an extra condition has been imposed.

Answer:

9.25 feet.

Step-by-step explanation:

Given:

Chandni has 3 pieces of orange yarn that are 1.25 feet long each  and 2 pieces of blue yarn that are 2.75 feet long each.

She uses all 5 pieces of yarn for an art project.

Question asked:

What is the total length of yarn, in feet, that Chandni uses for her art project ?

Solution:

By unitary method:

Length of 1 piece orange yarn = 1.25 feet

Length of 3 pieces orange yarn = 1.25 feet [tex]\times[/tex] 3 = 3.75 feet

Length of 1 piece blue yarn = 2.75 feet

Length of 2 piece blue yarn =  2.75 feet [tex]\times[/tex] 2 = 5.5 feet

As she uses all 5 pieces of yarn for an art project:-

Total length of yarn, she uses for her art project = 3.75 feet + 5.5 feet = 9.25 feet

Thus, the total length of yarn, she uses for her art project = 9.25 feet.

Answer:   y-value=36

Step-by-step explanation:

If you take the unit rate of these set of numbers, (it can be any set of the numbers on the table), let's use 2 and 12. To find the unit rate all you have to do is divide. 12 divided by 2 is 6. This also works for 4 and 24. 24 divided by 4 is 6. Therefore 6 times any number in the x column will give you the y-value.

Plugging in the unit rate would look look this 6(6)=y

                                                                           36=y

Therefore your missing value, or the y-value that is not filled in would be 36.

Answer:

15

Step-by-step explanation:

Answer:

24 is more expensive by $18.00

Step-by-step explanation:

Answer:

The eight pounds of peanuts are more expensive, by $1.

Step-by-step explanation:

If eight pounds of peanuts cost $24.00, then one pound of peanuts costs $24.00/8 = $3.00.

If six pounds of walnuts cost $12.00 (half as much), then one pound of walnuts costs $12.00/6 = $2.00.

Answer:

B) Translate the graph [tex] k [/tex] units to the left.

The store sold 7 red scarfs and 5 white Scarfs

5+5+5+5+5+5+5+3+3+3+3+3=50

This Maths question involves formation and solution of a system of equations, where equations are representing the number and total cost of scarves sold. The variables used are 'w' for white scarves and 'r' for red scarves, forming two equations: w + r = 12, and 3w + 5r = 50.

This question can be approached by using a system of equations. A system of equations is a set of two or more equations that have the same variables. You can think of this problem as having two equations:

Let's represent the number of white scarves sold as 'w' and the red scarves sold as 'r'. So, our first equation would become: w + r = 12

And knowing the cost of each scarf, the second equation would be: 3w + 5r = 50

Now with these two equations, one can solve for 'w' and 'r'. This type of problem is often seen in algebra and is an example of linear equations.

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Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

wHy aM i hErE?!?!

To find out how many different possible ways the coach can choose 5 players from a team of 10, we calculate the combinations using the formula C(10, 5) which results in 252 different possible ways.

To find out how many different possible ways the coach can choose a team of 5 from 10 players, we use combinations. In mathematics, a combination is a selection of items from a larger set, where the order of selection does not matter. This is often denoted as C(n, k) or sometimes nCk, where n represents the total number of items to choose from, in this case, 10 players, and k is the number of items to choose, which here is 5 players.

The formula for a combination is:

C(n, k) = n! / (k!(n-k)!)

where ! denotes factorial, which is the product of all positive integers up to that number.

So for our specific question:

C(10, 5) = 10! / (5!(10-5)!) = 10! / (5!*5!) = (10*9*8*7*6) / (5*4*3*2*1) = 252

Therefore, there are 252 different possible ways the coach can choose a team of 5 players from a pool of 10.

The solution to the Quadratic equation [tex]x^2+4x-40=-8[/tex] is -8 & 4. correct option is C.

To solve the quadratic equation x^2+4x-40=-8 using the quadratic formula, we first need to rearrange the equation so that it is in the form [tex]ax^2+bx+c=0.[/tex]

So, the equation becomes [tex]x^2+4x-32=0.[/tex]

Now, we can identify the values of a, b, and c.

In this case, a=1, b=4, and c=-32.

Next, we can substitute these values into the quadratic formula: x = (-b±√([tex]b^2-4ac[/tex]))/(2a).

Using the formula, we can calculate the solutions for x.

After performing the calculations, we find that the solutions are x = -8 and x = 4.

Therefore, the correct answer is option c) -8 & 4.

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Answer:

78.  t=8.66yrs

79.  r=23.10%

80. r=11.0975%

Step-by-step explanation:

78. Given the initial deposit is $1,000 and the 8% compounded continuously. The doubling time can be calculated using the formula;

[tex]A=Pe^{it}[/tex]

Given that A=2P, we substitute in the equation to solve for t:

[tex]A=Pe^{rt}\\\\2P=Pe^{rt}\\\\2=e^{0.08t}\\\\0.08t=\ In 2\\\\t=8.66\ years[/tex]

Hence, it takes 8.66 years  for $1,000 to double in value.

79.

Given the initial deposit is $1,000 and the r% compounded continuously.

-The doubling rate can be calculated using the formula;

[tex]A=Pe^{rt}[/tex]

#We substitute our values in the equation to solve for r:

[tex]A=Pe^{rt}\\\\A=2P, t=3\\\\\therefore\\\\2P=Pe^{3r}\\\\2=e^{3r}\\\\r=\frac{In \ 2}{3}\\\\=0.23105\approx 23.10\%[/tex]

Hence, the deposit will double in 3 years at a rate of 23.10%

80.

Given the initial deposit is $30,000 and the future value is $2,540,689.

-Also, given t=40yrs, the rate of growth for continuous compounding is calculated as:

[tex]A=Pe^{rt}, \ \ \ r=r, t=40yrs\\\\2540689=30000e^{40r}\\\\\frac{2540689}{30000}=e^{40r}\\\\r=\frac{In \ (2540689/30000)}{40}\\\\\\=0.110975=11.0975\%[/tex]

Hence, the deposit will grow at a rate of approximately 11.0975%

The probability that Sasha's first delay due to traffic will occur after the fifth day of travel to work is approximately 0.67232 or 67.232%.

The probability that Sasha will not experience a delay on any given day is 1 − 0.2 = 0.8, as the complement of the probability of experiencing a delay is the probability of not experiencing a delay.

Since each day is independent, the probability that Sasha will not experience a delay on the first day, second day, third day, fourth day, and fifth day is given by multiplying the probabilities for each day:

P(no delay on day 1 to day 5) = 0.8×0.8×0.8×0.8×0.8

Now, since we are looking for the probability that Sasha's first delay occurs after the fifth day, it means she did not experience a delay on the first five days. Therefore, the probability of the first delay occurring after the fifth day is the complement of the probability mentioned above:

P(first delay after the fifth day) = [tex]1 - 0.8^5[/tex]

Now, you can calculate this value:

P(first delay after the fifth day) = [tex]1 - 0.8^5[/tex]

P(first delay after the fifth day) = 1 − 0.32768

P(first delay after the fifth day) ≈ 0.67232

Answer:

(14, 6)

Step-by-step explanation:

If you plug in 6 for y you get:

6 = x/2 - 1

Add 1 to both sides:

7 = x/2

Multiply 2 on both sides:

14 = x

The answer is (14, 6)

Answer:

[tex]Z = -2.2[/tex]

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

[tex]\mu = 3600, \sigma = 500[/tex]

Use the information on the right to find the z-score of a 2,500 g baby.

This is Z when X = 2500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2500 - 3600}{500}[/tex]

[tex]Z = -2.2[/tex]

Answer:

Step-by-step explanation:

-2

ur welcome ;)

Answer:

C

Step-by-step explanation:

Answer:

The are of the spotlight is 14.4m

Step-by-step explanation:

Step one :

To find the area of the spotlight

First let us understand that the shape is a circle since it's a spotlight

Hence we will use the formula for area of a circle which is

A=πr²

Step two :

Given r= 7feet - - - >metre =2.14m

i.e

1foot =0.305m

7feet =xm

Crosss multiplying we have

X=7*0.305=2.14m

π= 3.142

Step three :

Substituting into the formula we have

A=3.412*2.14²

A=3.142*4.58

A=14.4m

Answer:

154 square feet

Step-by-step explanation:

Extracting the key information from the question:-

*** At school play, there's spotlight above centre of floor.

*** This covers a light end area with radius 7 feet.

*** We are required to calculate the area covered by the spotlight.

In other words, we are basically required to calculate the area of a circle because it is almost certain that the area it covers will be a perfect circle. So all we need to do is to put down the formula for calculating the area of a circle.

We already know that the radius here is 7 feet. We will now simply draft this into the formula and we are good to go.

Formula for area of a circle = πr^2. π = 22/7, r = radius = 7 feet.

Then 22/7 × 7 × 7

= 154 feet^2. The area that is covered by the spotlight which is a perfect circle = 154ft^2

Answer:

6.3 cm by 6.3 cm by 12.6cm

Step-by-step explanation:

Volume of the box=[tex]500 cm^3[/tex]

The minimal dimensions of a box always occur when the base is a square.

[tex]L^2H=[/tex][tex]500 cm^3[/tex]

[tex]H=\frac{500}{L^2}[/tex]

Surface Area of a cylinder=[tex]2(L^2+LH+LH)[/tex]

Surface Area of the sides and bottom= [tex]L^2+2(LH+LH)[/tex]

Surface Area for the top = [tex]L^2[/tex]

The material for the sides and bottom costs $0.05 per [tex]cm^2[/tex]

The material for the top costs $0.15 per [tex]cm^2[/tex]

Therefore Cost of the box

[tex]C=0.15L^2+0.05[L^2+4LH]\\C=0.2L^2+0.2LH[/tex]

Recall:[tex]H=\frac{500}{L^2}[/tex]

[tex]C=0.2L^2+0.2L(\frac{500}{L^2})\\=0.2L^2+\frac{100}{L}\\C=\frac{0.2L^3+100}{L}[/tex]

The minimum value of C is at the point where the derivative is zero.

[tex]C^{'}=\frac{2(L^3-250)}{5L^2}\\\frac{2(L^3-250)}{5L^2}=0\\2(L^3-250)=0\\L^3=250\\L=6.3cm[/tex]

[tex]H=\frac{500}{L^2}=\frac{500}{6.3^2}=12.6cm[/tex]

The dimensions that would minimize the cost are 6.3 cm by 6.3 cm by 12.6cm

Answer:

9 pigs

Step-by-step explanation:

We have the following numbers of heads:

pigs (p) + chickens (c) = 16 animal heads (1)

And the following numbers of feet:

4p + 2c = 50 animal feet   (2)

From equation (1):

p = 16 - c (3)

By entering equation (3) into (2) we have:

4(16 - c) + 2c = 50

64 - 4c + 2c = 50

c = 7

Now, entering the value of c into equation (3) we have the next value of p:

p = 16 - c

p = 16 - 7

p = 9

Therefore, the number of pigs that Henry has is 9.

I hope it helps you!  

Answer:

Step-by-step explanation:

hello :

the distance between (3,5.25 and (3,-8.75) is :

√((3-3)²+(5.25+8.75)²) ......continu

So the first thing you would want to do is rewrite the equation like so.

−x+4y=−3;−5x−4y=−15

once you done that you'll have to think about what variable are you trying to get be itself which in this case it'll be x. So now you'll be solving this equation.

−x+4y=−3

next you'll add -4y to both sides

Once you done so you should have this written down

-x over -1 = 4y- 3 over -1

divide -1 to both sides and you should end up with x= 4y+3

Now you have to substitute 4y+3 for x in -5x-4y=-15

So it should look like this now

−5(4y+3)−4y=−15

The next step is to simplify both sides with the following equation

−24y−15=−15

After simplifying add 15 to both sides, It then should look like this

−24y=0

Divide -24 to both sides and your answer should be this

y=0

hope this helps :)