A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?

Answers

Answer 1

$200=16
simplify
200/16=12.5
12.5*6=75
Answer = 75

Related Questions

Calculate the total budget and then fill in the missing percentages. You will use some of the answers given more than once. Total budget = Household Budget Item Percent % Amount $ Donations 1,620 Taxes 1,620 Food 3,510 Clothing 2,700 Housing 1,350 Transportation 675 Insurance 675 Savings 675 Recreation and miscellaneous 675

Answers

Total budget = $13,500

Donations = 12%

Taxes = 12%

Food = 26%

Clothing = 20%

Housing = 10%

and the rest are 5 %

Answer:

Step-by-step explanation:

To calculate the percentage of each expenses we use this formula :

[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex] × 100

Household Budget Items Amount ($) Percentage

Donations 1,620 12%

Taxes 1,620 12%

Food 3,510 26%

Clothing 2,700 20%

Housing 1,350 10%

Transportation 675 5%

Insurance 675 5%

Savings 675 5%

Recreation and

miscellaneous 675 5%

Total Budget 13,500 100%

250 tickets are sold at a church fundraiser. if sara buys 15 tickets the probability the probability that she will win the prize quilt is

Answers

the probability the probability that she will win the prize quilt:
= 15/250
= 0.06
= 6%

please help........there are 3 problems

Answers

[tex]1.\ x^2+5x+4=x^2+x+4x+4=x(x+1)+4(x+1)=(x+1)(x+4)\\\\2.\ x^2-10x+21=x^2-7x-3x+21=x(x-7)-3(x-7)=(x-7)(x-3)\\\\3.\ x^2+2x-63=x^2+9x-7x-63=x(x+9)-7(x+9)=(x+9)(x-7)[/tex]
if
[tex]x^2+10x+21[/tex]
then
[tex]=x^2+7x+3x+21=x(x+7)+3(x+7)=(x+7)(x+3)[/tex]

Two trains leave stations 532 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 100 miles per hours. How long will it take for the two trains to meet?

Answers

The two trains will meet in 2.4 hours.

What is the distance?

Distance is defined as the product of speed and time.

We have been given that two trains depart from stations 532 miles apart at the same time and head in the opposite direction. The first train runs at 90 miles per hour, while the second at 100 miles per hour.

Let's assume x distance 90 mph train traveled

Then (532 - x) is the distance 100 mph train traveled

Travel time = distance/speed (equal in both directions)

⇒ x/90 = (532 -x)/100

⇒ 100x = 90× 532 - 90x

⇒ 100x + 90x = 47880

⇒ 190x = 47880

⇒ x = 47880/190

⇒ x = 252

So travel time = 252/90 = 2.4 hrs

Therefore, the two trains will meet in 2.4 hours.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

Suppose u=⟨2,−2u=⟨2,−2⟩ and v=⟨6,2⟩v=⟨6,2⟩ are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are

Answers

91.7
44.6
is the answer

Go to lesson page Problem If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip?

Answers

The probability of any particular sequence of N flips of a fair coin is 2^(-N).

Your probability of the given sequence of 3 coin flips is
2^-3 = 1/8

First if all, we know that the coin has two sides- head and tail

P(getting a head of the first flip):

1/2

P(getting a tail on the second flip):

1/2

P(getting a head on the third flip):

1/2

To find the final answer, take:

1/2×1/2×1/2=1/8

As a result, the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip is 1/8. Hope it help!

In a family with 8 children, excluding multiple births, what is the probability of having 7 boys and 1 girl, in any order? assume that a boy is as likely as a girl at each birth

Answers

there is a 7/8 chance there will be boys and a 1/8 chance there will be a girl

Final answer:

The probability of having 7 boys and 1 girl in a family with 8 children is 1/128.

Explanation:

To find the probability of having 7 boys and 1 girl in a family with 8 children, we can use the concept of combinations. There are 8 children in total, and we want to choose 7 boys and 1 girl from them. The probability of having a boy or a girl at each birth is 50%, so we can use the binomial coefficient to calculate the probability. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n is the total number of children and k is the number of boys we want. Plugging in the values, we get C(8, 7) = 8! / (7!(8-7)!) = 8. Therefore, the probability of having 7 boys and 1 girl in any order in a family with 8 children is 8 / 2^8 = 1 / 128.

Which of these is equal to sin(70°)? A) cos(110°) B) cos(160°) C) cos(20°) D) cos(70°)

Answers

sin β = cos (90-β)
sin (70⁰)= cos (90-70⁰)=cos (20⁰)
sin (70⁰)=cos (20⁰)

Answer:

[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]

Option C is correct.

Step-by-step explanation:

we have to choose the option for which the value is equals to sin(70°)

As in the first quadrant sine and cosine both are positive

[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]

hence, option C is correct.

Help with this math question please

Answers

51. The area of the rectangle is lw. The triangle's base and height are both w, so its area is 1/2 (w)^2. The total area will be lw + (1/2)w^2, which is choice A.
52. The best answer is G. This is a circle of diameter 10 in, so 10 in is the longest dimension, and you would not be able to cut a 2-in wide section that is 10 in long since the circle immediately gets smaller when you move away from the diameter.

Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.

Answers

First, let's subtract the whole pool by the water currently in to find the water needed to fill it:
4500 - 1500 = 3000
Because we need to represent an inequality:
30m = 3000
Divide both by 30:
m = 100
It will take 100 minutes

Answer:

Inequality is m ≤ 1000

Step-by-step explanation:

Capacity of the pool to hold the maximum water is = 4500 gallons of water.

Pool is already having 1500 gallons of water so remaining volume of the pool that can be filled is = 4500 - 1500 = 3000 gallons

Marcus begins to add 30 gallons water per minute and it takes "m" minutes to fill the remaining volume.

So amount of water required = 30m gallons

There is a condition that Marcus continues to add water without exceeding the maximum amount of water.

This means remaining amount "3m gallons" will be never cross the limit of "3000 gallons" of remaining volume of water.

Now we can form the inequality as 3m ≤ 3000

or m ≤ 1000

Therefore, answer is m ≤ 1000

Booker own 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 video games. How many more video games do he have room for

Answers

Booker has room for 35 more video games since his 3 shelves (which can hold 40 games each) holds a total of 120. 120-85 = 35

35. Two shelves hold 80. And then the last five can go on the third. That means the third shelf can hold 35 more games

What percent of data is in quartile 1

Answers

One quarter (25%) of the data is in any quartile. That is the meaning of the term "quartile."

25% of data is in quartile 1

What is the y-intercept of the quadratic function fx) (x- 6)(x-2)?

Answers

Option 1
To find the y-intercept of a quadratic that is in factor formed follow the steps below:

First take the factor form and put it into standard quadratic form
Standard quadratic form:
[tex]ax^2 + bx + c[/tex]

To put the the factor form of a qudratic into standard form, we use the foil method

(x-6)(x-2) = [tex]x^2 - 8x +12[/tex]

Now to find the y-intercept, input 0 where the x is located:

[tex]f(x) = x^2 - 8x +12[/tex]
[tex]f(0) = 0^2 - 8(0) +12[/tex]
[tex]f(0) = 12[/tex]
y-intercept = (0,12)

Why did I use 0? Remember the y-intercept is where the line crosses the y axis so this means the x value of the y intercept is always = 0. Also, not, to find the y-intercept, you could of just multiplied the 6 and 2 in the factored form to get the 12 and since you know that the x is always 0 at the y-intercept, you know that the y-intercept is at (0,12)

Option 2
Input 0 for x in f(x) = (x-6)(x-2)
f(x) = (x-6)(x-2)
f(0) = (0 - 6)(0 - 2)
f(0) = (6)(2) = 12
x = 0
f(0) = y = 12
y-intercept = (0,12)

Answer:

The answer is B just took the test

Step-by-step explanation:

The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment

Answers

Answer:(-1,1,3)

Explanation:

The coordinates of the mid point are calculated by dividing the sum of each pair of corresponding coordinates by 2.

This is how you calculate the mid of each coordinate separately:

1) x-coordinate:

mid x-coordinate = (- 6 + 4) / 2 = -2 / 2 = - 1

2) y-coordinate

mid y-coordinate = (3 - 1) / 2 = 2 / 2 = 1

3) z-coordinate

mid z-coordinate = (4 + 2) / 2 = 6 / 2 = 3

So, the midpoint is (-1, 1 , 3)

How many milliliters equal 1052 cm3? A. 1052 B. 1.052 C. 105.2 D. 10.52 30 points

Answers

Hello there, and thank you for asking your question here on brainly.

Short answer: A. 1052 ml

Why?

1 cm = 1 ml, so what would that be? 1052 cm = 1052 ml.

Hope this helped you! ♥

Hello!

I believe the answer is A) 1052.

I hope it helps!

What is the interquartile range for the data set?

Could you please double check my answer for me?

Answers

To solve this problem you must apply the proccedure shown below:

1- By definition, the formula for calculate the interquartile range is

Interquartile range=Q3-Q1

Where Q1 is the lower quartile and Q3 is the upper quartile.

2-Keeping this on mind, you have:

Interquartile range=Q3-Q1

Q3=245
Q1=201

Interquartile range=245-201
Interquartile range=44

Therefore, the answer is: 44

A copy machine makes 132 copies in 5 minutes and 30 seconds. How many copies does it make per minute?

Answers

24 copies per minute

Find the final amount of $1000 investment after 9 years at 8% interest compound quarterly

Answers

Here's the equation for one year:
1000 + 0.08(1000)
But because it is 9 years:
1000 + 9(0.08(1000))
1000 + 0.72(1000)
We can make it simpler:
1.72(1000)
Multiply:
1720
You will have $1720

Q #5 Solve the system by graphing

Answers

That first one is correct there is no solution since they are parallel.

We have the following system of equations:
(-1/3) x + y = -1
y = 4 + (1/3) x
Let's rewrite the system of equations:
y = (1/3) x - 1
y = (1/3) x + 4
We note that both lines have the same slope:
m = 1/3
Therefore, the lines are parallel.
The first line has a cut point with the y axis of:
(0, -1)
The second line has a cut point with the y axis of:
(0, 4)
Like the lines are parallel, the system has no solution.
Answer:
The system of equations has no solution.

6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.

$30,506.32

$126,346.32

$51,054.38

$85,027.44

Answers

[tex]PV = C* \frac{1- (1+r/n)^{-nt} }{r/n} [/tex]

Where, PV = Present vale, C = Quarterly payments =$52,000, r = Annual interest rate = 8% = 0.08, n = Number of payments per year = 4, t= time of payment in years = 5

Substituting,
[tex]PV = 52000* \frac{1- (1+0.08/4)^{-4*5} }{0.08/4} = $85,027.53[/tex]

The closest answer is $85,027.44

what is the value of y /2/4/16/20

Answers

I think it's 4. Could be wrong, probably am.

Logarithmic form x^19 = y

Answers

To solve the problem given in the figure attached, you must apply the proccedure shown below:

1. You have the following expression given in the problem:

x^19 = y

2. By definition, you have:

logb(x)=y
b^y=x

3. Therefore, you have:

x^19 = y
logx(y)=19

4. Then, as you can see, the answer is: logx(y)=19

log properties or log transformation is;

b ^ x = a , then to solve for the exponent x, log b a = x or read as log a base b = x.

x^19 = y

x = b
a = y
x = 19

log x y = 19 or log y base x = 19

Use a net to find the surface area of the prism.

•213 m^2
•426 m^2
•336 m^2
•306 m^2

Answers

The surface area of the prism will be given by:
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²

Answer: 426m²

*Please help, will mark correct answer as brainliest*
What is the formula for finding a break-even point?

Answers

The break-even point formula is calculated by dividing the total fixed costs of production by the price per unit less the variable costs to produce the product.

Break-even point in units =
Fixed costs/( Sales price per unit - Variable cost per unit )

Break-even point in Dollars = Break-even point in units * Sales price per unit

Answer:

break even point=(0.01)(# of points)(P)/monthly savings

Step-by-step explanation:

ap3x

Test the claim that mean gpa of a night student is significantly different than 2.1 at the 0.02 significance level

Answers

0.60. Is your answer have a nice day

Which number produces an irrational number when added to 2/5? A) 0.555... B) -0.4 C) -/`5 D) 2/7

Answers

Answer to this question is pie of 5

The number that produces an irrational number when added to 2/5 is 0.55....

What is a rational number?

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

To produce an irrational number when added to 2/5, the number must be irrational itself.

Therefore, options B, C, and D are eliminated since they are all rational numbers.

Option A, 0.555..., is a repeating decimal and can be expressed as a fraction of 5/9. When added to 2/5, we get:

2/5 + 5/9 = (18/45) + (25/45) = 43/45

Since 43/45 is not a rational number, the answer is A) 0.555...

To learn more about the rational numbers;

brainly.com/question/24398433

#SPJ3

Hey can you please help me posted picture of question

Answers

3 transformations are applied to F(x)

1) Multiplication by -1.
This implies F(x) is flipped over x-axis

2) Multiplication by 1/3
This implies F(x) is compressed vertically

3) Addition of 4 to x.
This implies F(x) is shifted by 4 units to left.

Thus, G(x) is obtained from F(x) by flipping it across x-axes, compressing it vertically and shifting it towards left.

Thus, option C is the correct answer

hey can you please help me posted picture of question

Answers

Hey there :)

Now, we need to find how many solutions the nonlinear system of equations graphed has

The points where these given graphs intersect will be the number of solutions.

We can see on the equations graphed that 3 points are where they intersect

[tex]\boxed {Therefore \ your \ answer \ will \ be \ option \ A }[/tex]

hello can you please help me out on this question posted picture

Answers

There are 3 possible outcomes of each game.

So, the tree will start with 3 leaves, and each leaf will further be divided into 3 leaves. Thus the total number of leaves in the tree diagram will be 3 x 3 = 9 leaves.

Option A correctly represent this situation.

Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?

Answers

Take the points (1,8) and (8,1). Use rise over run to estimate the slope of the scatter plot.

[tex] \frac{1 - 8}{8 - 1} = \frac{-7}{7} = -1[/tex]

The answer is -0.99, as this is the closest answer to the estimate we found.

Final answer:

Correlation coefficient measures the relationship between two variables in a scatterplot. Its value ranges from -1.0 to 1.0. You can estimate it by observing the direction and the closeness of the data points to a line of best fit.

Explanation:

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement. A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.

To estimate the correlation coefficient from a scatterplot, observe the tightness of the points around a line of best fit and whether the points are mainly increasing or decreasing. For tight points increasing, it's close to 1. For tight points decreasing, it's close to -1. If there's no pattern, it's close to 0.

Learn more about Correlation Coefficient here:

https://brainly.com/question/33643115

#SPJ2

Other Questions

What is the product of meiosis i?a. four diploid cellsb. two diploid cellsc. four haploid cellsd. two haploid cells? lenny borrowed $500 from the bank to pay for his car. he paid back $200 a year for three years. how much was the interest? how do you do 27????? The first man-made object to be launched into space and it started the space race What is the probability that the wine cooler would be less than 45 degrees? PLEASE HURRY, I NEED THE ANSWERS!!1. The surface area of a box is 627in, what is the surface area if it is scaled by a factor of ten? (Show work)2. The volume of the box is 720in, what is the volume of the box if it is scaled by 1/10? (Show work) What evidence can you cite that the universe is flat? The bodies of all living things are based on carbon. Which of the following is the primary source of carbon in living things? After several years of living and working in a small town in atlanta, harvey wakes up one morning insisting that his name is rob and that he has to report to his job in austin, texas. he does not recognize the furniture in his apartment or the clothing hanging in his closet. he is completely confused about his current life. he may have experienced: For this table, the reference currency is the _______A. US Dollar B. EuroC. British PoundThe exchange rate of the euro to the US dollar and most other currencies is determined by _______A, supply and demand B. government lawAccording to the chart, one euro would buy _______ Swiss francs.A. 1.301B. 1.2149C. 1.2839It would cost _______ US dollars to buy one euroA. 0.84B. 1.21C. 1.28 A thin layer of paint is 7x10^-7 m thick. In contrast, a coin is 3.43 x 10^-3 m thick. How many layers of paint are in a stack that is the height of the coin? Confucius was born about 2,500 years ago in China and grew up in Physical anthropologist john hawks and colleagues suggest that evolution is speeding up as population size continues to ________ and ________ are introduced. The project that sequenced and map all of the genes in the human body is known as Endurance training has been shown to reduce the oxygen deficit in subjects performing a submaximal exercise. this is due to help! I will give thanks! Given an electron beam whose electrons have kinetic energy of 5.00 kev , what is the minimum wavelength min of light radiated by such beam directed head-on into a lead wall? Which significant advances have scientists recently made in genetic engineering? Select all that apply.produced identical individuals from a host organisms cell created disease-resistant strains of some plants invented diseases by manipulating selected genes developed drugs with genes that prevent some crimesincreased an organisms intelligence by turning genes on Freud thought that anxiety resulted from conflict between __________ and __________. Franklin sees that sarah often goes to her math professor's office hours. franklin thinks that sarah must be terrible at math. this is an example of the