Solving Exponential word problems

You have $50,000 to invest and you want $75,000. How much longer would it take if you use an account that gets 3.5% compounded daily, when compared to an account that gets 4.5% compounded continuously? (only round final answer)

• 11.6 years

• 9 years

• 2.6 years

• 5.9 years

The equation Q = 12e^{-.09t is given to show the amount of an element remaining after t years. how long will it take for the element to reach 3 mg?}

• 4.5 years

• 12.7 years

• 2.7 years

• 15.4 years

Tags

CCSS.HSF.LE.A.4

A car valued at $22,000 depreciates at a fixed rate of 9% per year. After how many years will the value have depreciated to $9,000? Solve using logs.

• 9.5 years

• 10.7 years

• 8.9 years

• 2.3 years

how long does it take for a population to triple with a continuous rate of 5%?

• 13.9 years

• 22 years

• 21 years

• 20 years

Tags

CCSS.HSF.LE.A.4

You brought a piece of artwork for $1,000 and it's now worth $1233.67 after 4 years. what is the continuous rate of the artwork?

• 4.75%

• 4.25%

• 3.75%

• 5.25%

Mr. thingamajig invested an amount of money at a rate of 2.85% continuously. After 6 years, his balance was $1,779.74. How much was his original investment.

• 1550

• 1450

• 1500

• 1600

Expand: log₅xy³

• log₅x +log₅y³

• log₅x - log₅y³

• log₅x +3log₅y

• log₅x ⋅ 3log₅y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

12 log u + 3 log v

• log(v³u¹²)
• log(vuw⁴)
• log(u³/v¹²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

10 log₆5+2log₆12

• log₆(12¹⁰*5²)
• log₆(5²/12¹⁰)
• log₆(12²*5¹⁰)
• log₆(5⁵/12²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5