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3 years ago

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What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

1 answer:

11111nata11111 [884]3 years ago

3 0

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

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Tion?<br>What is/are the given in the problem? What are you going to solve?<br>How can you do

djverab [1.8K]

Answer:

Not enough information given. Please type the whole question out.

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4 years ago

The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 12 square inches. What are the length

azamat

Answer: B) w(4+w)=12

Step-by-step explanation: Because the formula for area is length times width, the expression used to find it would by w•l. If L=4+W, the equation for area in this question is w(4+w)=12

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4 years ago

1 tree makes approximately 230 newspapers. Estimate (by rounding each number to 1 S.F.) how many newspapers 56 trees will make.

g100num [7]

Answer:

56 trees will make 10000 newspapers.

Step-by-step explanation:

Given:

One tree makes approximately 230 newspapers.

Now, for estimating how many newspapers will be made with 56 trees.

By multiplying $56$ trees with $230$ newspapers we get,

$56\times230=12880$ .

And, rounding $12880$ to one significant number (1 S.F.) is $10000$ .

Therefore, 56 trees will make 10000 newspapers.

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4 years ago

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A bag contains 3 marbles, 3 rocks, and 3 pencil erasers. Hilde will take one item from the bag without looking. What is the prob

Misha Larkins [42]

The answer is c trust me

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4 years ago

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Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

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2 years ago