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3 years ago

Someone, please help me

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Answer:

≈ $937

Step-by-step explanation:

to answer this, we have to use the compound interest formula which is:

A = P(1 + r/n)^nt

the meanings of each variable are:

A = result

P = principal amount

r = rate (in decimal form)

n = the number of compound periods (eg: annually, quarterly, etc)

t = time

in the word problem, we need to solve for A. we are given P, r, n, and t.

P = 800

r = 0.02 also known as 2%

n = 1 keyword being <em>annually</em> which is equal to the value of 1

t = 8

we can plug these values into the formula:

A = 800(1 + 0.02/1) $^(^1^)^(^8^)$

we can use a calculator to calculate this easier but ill break it down:

A = 800(1 + 0.02/1) $^8$

A = 800(1.02) $^8$

A = 800(1.17165938)

A ≈ 937.327

we can round 937.327 to the nearest dollar which is $937

Carl would have earned $937 over the course of 8 years

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Compute the following radical.<br> sq root 144

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we are given

$\sqrt{144}$

Firstly, we will find all possible factors of 144

$144=2\times 2\times 2\times 2\times 3\times 3$

we can also write as

$144=(2\times 2)^2\times (3)^2$

now, we can put exponent to over entire term

$144=(2\times 2\times 3)^2$

now, we can replace 144

$\sqrt{144}=\sqrt{(2\times 2\times 3)^2}$

now, sqrt will get cancelled with square

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$\sqrt{144}=(2\times 2\times 3)$

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