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zepelin [54]
3 years ago
8

A starting principal of $3,000 is invested at 7% compounded annually for 6 years. The compound amount (or future value) is: $___

__
Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

The future value is $4502.19.

Step-by-step explanation:

Given

Principle amount A=$3000

Interest=7%

Time n=6 yr

We need to find future value(P)

We know that for compound Interest, Future value given as

P=A\left(1+\dfrac{r}{100}\right)^n

Now by putting the values

P=3000\left(1+\dfrac{7}{100}\right)^6

P=$4502.19

So the future value is $4502.19.

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Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

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b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

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