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DedPeter [7]
3 years ago
11

1. If money is deposited in a bank that pay's simple interest of 4.5 %, bow much will have to be deposited to earn $90 of intere

st for 8 months​
Business
1 answer:
TiliK225 [7]3 years ago
4 0

The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.

Explanation:

The given is,

                       Simple interest of 4.5 %

                       Earn $90 of interest for 8 months​

Step:1

            Formula to calculate the simple interest method,

                                            F=P(1+iN)...................................(1)

           Where,

                           F - Future amount

                           P - Initial investment

                            i - Rate of interest

                           N - Number of years

            From given,

                          i - 4.5%

          Let, X - Initial investment, P = X

                                                      F = P + Interest amount

                                                      F = X + 90

         From the equation (1),

                                           (X+90)=X(1+(0.045)(0.667))

                               (∵ N = 8 months = \frac{8}{12} = 0.667 year )

                                            (X+90)=X(1+(0.03))

                                             (X+90)=X(10.03)

                                             (X+90)=1.03 X

                                                        90=1.03X-X

                                                        90=0.03X

                                                             = \frac{90}{0.03}

                                                             = 3000

                                                  P = X = $ 3000

          From the X value.

                                                   F = P + 90

                                                      = 3000 + 90

                                                  F = $ 3090

Result:

The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.

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