for he formula A=P+Prt, find the value of

(a). (i) A when P = 750. r=0.09 and t=8

(ii) P when A=720.r=0.12 and t=5

(b) make t the subject of the formula

(a)(i) A = 750 + (750*.09*8) = ?

(b) A = P(1+rt)

A/P = 1 + rt

A/P - 1 = rt

(A/P-1)/r = t

(a). (i) A = P + Prt

A = 750 + (750*0.09*8)
=750 + 540 =1290

(ii) A = 720 + (720*0.12*5)
=432
=720 + 432 =1152

(b). A = P + Prt
A -P = Prt ...Divide both sides by Pr...
(A-P) / Pr = t

To find the value of A, P, or t in the formula A = P + Prt, we can substitute the given values into the formula and solve for the required variable.

(a). (i) A when P = 750, r = 0.09, and t = 8:

Substituting the given values into the formula:
A = 750 + 750 * 0.09 * 8

Calculate the expression on the right side of the equation:
A = 750 + 540
A = 1290

Therefore, when P = 750, r = 0.09, and t = 8, the value of A is 1290.

(a). (ii) P when A = 720, r = 0.12, and t = 5:

Substituting the given values into the formula:
720 = P + P * 0.12 * 5

Distribute the multiplication:
720 = P + 0.6P

Combine like terms:
720 = 1.6P

Divide both sides by 1.6:
P = 720 / 1.6

Calculate the expression on the right side of the equation:
P ≈ 450

Therefore, when A = 720, r = 0.12, and t = 5, the value of P is approximately 450.

(b) Making t the subject of the formula:

The given formula is A = P + Prt.

We want to isolate t on one side of the equation.

Start by subtracting P from both sides of the equation:
A - P = Prt

Now, divide both sides of the equation by Pr:
(t * (A - P)) / P = t

t = (t * (A - P)) / P

Therefore, t is the subject of the formula when rearranged.