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: i feel you honey.

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week