Solve the compound interest problem. $3425 is invested at %7.5 compounded monthly for years. a. Find the overall amount. b. Find the compound interest.

Complete question :

Solve the compound interest problem. $3425 is invested at %7.5 compounded monthly for 2 years. a. Find the overall amount. b. Find the compound interest.

$3977.425 ; $552.425

Step-by-step explanation:

Given that:

Principal (P) = $3425

Rate (r) = 7.5% = 0.075

Time(t) = 2 years

A = p(1 + r/n)^nt

r = rate

n = number of times compounded per year

t = time in years

A = final amount

A = 3425(1 + 0.075/12)^12*2

A = 3425(1 + 0.00625)^24

A = 3425(1.00625)^24

A = 3425(1.1612920)

A = $3977.4251

Hence, overall amount = $3977.425

Compound interest = $(3977.425 - 3425) = $552.425

ddd

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.