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MA_775_DIABLO [31]
3 years ago
5

Your 3 year investment of 20,000 received 5.2% interest compound annually. What is your total return?

Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer:

Given:

Principal  (P) = $20,000 , interest rate compounded annually (r) = 5.2% = \frac{5.2}{100} = 0.052 ; n = 1 , t = 3 years.

Using formula :

A = P(1+\frac{r}{n})^{nt}

where

A is total return

P is the Principal ,

r is interest rate ,

n is the number of times interest is compounded per year

t is the time in year.

Substitute the given values we have;

A = 20,000(1+\frac{0.052}{1})^{1 \cdot 3}

A = 20000(1.052)^{3}

Simplify:

A = $23285.05216

Therefore, your total return is, $23285.05216

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FromTheMoon [43]

Answer:

D

Step-by-step explanation:

If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as

p(x)/x+k = q(x) + r/x+k

where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes x^{1} and no higher exponents), the remainder is a real number.

Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.

The question states that p(3) = −2, so it must be true that

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Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.

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−2=(−2)q(3)

This could be true, but only if q(3)=1

B. −2=p(3)=(3+(−2))q(3)+0

−2=(3−2)q(3)

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This could be true, but only if q(3)=2

C. −2=p(3)=(3+2)q(3)+0

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This could be true, but only if q(3) = −2/5

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−2=(0)q(3)+(−2)

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Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.

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