Question

questions:
formula: principal × time × interest rate

	principal (starting amount)	period of time	interest rate	when compounded	value at maturity
#2:	$3,000	3 months (one quarter) (.25)	3.75% (.0375)	quarterly
#3:	$1,500	3 months (one quarter) (.25)	2.5% (.025)	quarterly
#4:	$4,500	6 months (two quarters) (.25)	4.5% (.045)	quarterly
#5:	$2,500	9 months (three quarters) (.25)	4.75% (.0475)	quarterly

Explanation:

Step1: Calculate simple interest for #1

First, find interest: $I = 3750 \times 0.25 \times 0.04 = 37.50$
Add to principal: $3750 + 37.50$

Step2: Calculate simple interest for #2

Find interest: $I = 3000 \times 0.25 \times 0.0375 = 28.125$
Add to principal: $3000 + 28.125$

Step3: Calculate simple interest for #3

Find interest: $I = 1500 \times 0.25 \times 0.025 = 9.375$
Add to principal: $1500 + 9.375$

Step4: Calculate simple interest for #4

Time = $0.25 \times 2 = 0.5$
Find interest: $I = 4500 \times 0.5 \times 0.045 = 101.25$
Add to principal: $4500 + 101.25$

Step5: Calculate simple interest for #5

Time = $0.25 \times 3 = 0.75$
Find interest: $I = 2500 \times 0.75 \times 0.0475 = 88.125$
Add to principal: $2500 + 88.125$

Answer:

#	Value at Maturity
#2	$\$3,028.13$ (rounded to nearest cent)
#3	$\$1,509.38$ (rounded to nearest cent)
#4	$\$4,601.25$
#5	$\$2,588.13$ (rounded to nearest cent)