tylerjosephisabaddie tylerjosephisabaddie
  • 19-12-2019
  • Mathematics
contestada

You hope to reach $10,000 savings in 6 years in an account paying 1.5%. What is the present value?
All answers will include a $sign.

Respuesta :

calculista
calculista calculista
  • 01-01-2020

Answer:

[tex]P=\$9,174.31[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested  or present value

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=6\ years\\ P=?\\ A=\$10,000\\r=1.5\%=1.5/100=0.015[/tex]

substitute in the formula above

[tex]10,000=P(1+0.015*6)[/tex]

solve for P

[tex]10,000=P(1.09)[/tex]

[tex]P=10,000/(1.09)[/tex]

[tex]P=\$9,174.31[/tex]

Answer Link

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