Recall that in the problem involving compound interest, the balance A for P dollars invested at rate r for t years compounded n times per year can be obtained by A = P 1 + r n nt Consider the following situations:.
(a) P = $2, 500, r = 5%, t = 20 years, n = 4. Find A.
(b) P = $1, 000, r = 8%, t = 5 years, n = 2. Find A.
(c) A = $10, 000, r = 6%, t = 5 years, n = 4. Find P.
(d) A = $50, 000, r = 7%, t = 10 years, n = 12. Find P.
(e) A = $100, 000, r = 10%, t = 30 years, compounded monthly. Find P.
(f) A = $100, 000, r = 7%, t = 20 years, compounded quarterly. Find P.

(a)∴A=$6753.71.

(b)∴A=$1480.24

(c) ∴P=$7424.70

(d)∴P=$49759.62

(e)∴P=$5040.99

(f) ∴P=$2496.11

Step-by-step explanation:

We use the following formula

A=amount in dollar

P=principal

r=rate of interest

(a)

P=$2,500, r=5%=0.05,t =20 years , n= 4

   =$6753.71

∴A=$6753.71.

(b)

P=$1,000, r=8% =0.08,t =5 years , n= 2

   =$1480.24

∴A=$1480.24

(c)

A=$10,000, r=6% =0.06,t =5 years , n= 4

∴P=$7424.70

(d)

A=$100,000, r=6% =0.06,t =10 years , n= 12

∴P=$49759.62

(e)

A=$100,000, r=10% =0.10,t =30 years , n= 12

∴P=$5040.99

(f)

A=$100,000, r=7% =0.07,t =20 years , n= 4

∴P=$2496.11

answer: the answer is 35%

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step-by-step explanation: