Application of Exponential

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

A colony of termites is growing continuously at a rate of 6.2% monthly. If the colony starts with 500, how many would there be in one year?

• 1.02 E 35 (huge amount)

• 1052

• 246375

• 532

Tags

CCSS.HSF-LE.A.1C

Which of the following models would project the value of a company worth $400,000 whose value is continuously decreasing by 8% annually?

• y=400,000e^.08t

• y=400,000e^-.08t

• y=400,000e^-8t

• y=400,000e^8t

Cooper purchased a new truck for $35,000. Each year it depreciates at a rate of 5%. How much will the truck be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

Tags

CCSS.HSF.BF.A.2

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327

• 4309

• 839

• 7680

Tags

CCSS.HSF-LE.A.1C

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9760

• 9006

• 9765

• 5433

Tags

TEKS.MATH.9-12.II.C.1

TEKS.MATH.9-12.VII.C.2

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Tags

CCSS.HSF.BF.A.2

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

• $8,881.47

• $7,432.93

• $8,400

• $6,500

You borrowed $59,000 for 2 years at 11% which was compounded annually. What is the total?

• $13,693.90

• $1,363.90

• $72,693.90

• $73,793.90

Caiden deposited $475 in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

• $827.52

• $831.10

• $839.45

• $846.80