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lesya [120]
3 years ago
10

The total perimeter of a square shaped

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

Answer:

this makes no sence

Step-by-step explanation:

you did no include any of the details needed

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The equation for the future value of a deposit earning compound interest is equation <img src="https://tex.z-dn.net/?f=V%28t%29%
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Answer:

Given that:

The equation for the future value of a deposit earning compound interest is equation:

V(t) = P(1+\frac{r}{n})^{nt}              .....[1]

where,

P = the initial deposit

t = years invested

r = rate at which interest is compounded annually

.

n = number of times the interest is compounded per year

As per the statement:

After 10 years, a $2,000-dollar investment compounded annually has grown to $3600.

⇒P = $2000 and V(t) = $3600

Substitute in [1] we have;

3600 = 2000(1+\frac{r}{1})^{10 \cdot 1}

Divide both sides by 2000 we have;

1.8 = (1+r)^{10}

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\log_{10} 1.8 =\log_{10} (1+r)^{10}

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Divide both sides by 10 we have;

0.0255272505 =\log_{10} 1+r

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Simplify":

1.06= 1+r

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0.06=r

or

r = 0.06 = 6%

Therefore, 6%  is the  interest rate to the nearest whole-number percent

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