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Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. How much money should Nate invest in this account to meet this goal?

a.

$1,279.26

b.

$4,369.26

c.

$4,373.77

d.

$7,463.77

Respuesta :

tejadan312
The answer is D. $7,463.77
JeanaShupp

Answer: d. $7,463.77

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]I=Prt[/tex], where P is the principal amount , r is the rate of interest ( in decimal) and t is time ( in years).                                                (1)

Given : Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years.

i.e. I= $3,090  ;  r= 2.76% =0.0276   and t= 15 years

Then, from (1), we have

[tex]3090=P\times0.0276\times15\\\\\Rightarrow\ P=\dfrac{3090}{0.0276\times15}=7463.76811594\approx7463.77[/tex]

Hence, the amount of money Nate should invest in this account to meet this goal = $7,463.77

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