GabrielAntuna GabrielAntuna
  • 07-02-2019
  • Mathematics
contestada

How much principle, to the nearest dollar, should you invest at 4 percent in order to have $3000 for a vacation to Europe in 3 years

Respuesta :

isyllus
isyllus isyllus
  • 07-02-2019

Answer:

Principle should be $2,667

Step-by-step explanation:

We need $3000 for a vacation to Europe in 3 years.

Using amount formula,

[tex]A=P(1+r)^t[/tex]

Where, P is principle (P=?)

A is amount (A=3000)

r is rate of interest (r=0.04)

t is time (t=3)

Substitute the values into formula and solve for P

[tex]3000=P(1+0.04)^3[/tex]

[tex]3000=P(1.04)^3[/tex]

[tex]P=\frac{3000}{1.04^3}[/tex]

[tex]P=2666.98[/tex]

[tex]P\approx \$2667[/tex]

Hence, Principle should be $2,667

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