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.