John borrows 2500 from his dad who feels it is best to charge him interest. six months later, john repays him dad the loan plus interest a total of 2588. what was the annual interest rate on the loan?

7.04%.  

Step-by-step explanation:

We have been given that John borrows 2500 from his dad who feels it is best to charge him interest. Six months later, John repays him dad the loan plus interest a total of 2588.

To find the annual interest rate, we will use simple interest formula.

, where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate,

t = Time in years.

Let us convert our given time in years.

1 year = 12 months

Upon substituting our given values in above formula, we will get:

Switch sides:

Now, we will convert our given rate in percentage by multiplying by 100.

Therefore, the annual interest rate on the loan is 7.04%.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3