18,000 amounts to 21,600 in 4 years at simple interest. find the sum of
money that will amount to 25,500 in 5 years, at the same rate of interest.

Step-by-step explanation:

we know that

The simple interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

substitute in the formula above and solve for r

The rate of interest is

step 2

Find the sum of  money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

substitute in the formula above and solve for P

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this