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Questions

1 / 10

Time

Score

Use Compound Interest Formula For Continuous Compounding

Find the time it takes for $2000 to grow to $2500 with continuous compounding at an annual rate of 4.5%.

$1.65years$

$1.66years$

$1.67years$

Determine the continuous compounding interest rate needed for $5000 to triple in value in 10 years.

$0.0947\left(or9.49\%\right)$

$0.0948\left(or9.49\%\right)$

0.0949 (or 9.49%)

Find the principal amount that, after 5 years, will grow to $8000 with continuous compounding at an annual rate of 6%.

$5820.57

$\$5820.56$

$\$5820.55$

Calculate the continuous compounding interest rate required for $8000 to grow to $12000 in 3 years.

$0.1403\left(or14.05\%\right)$

$0.1405\left(or14.05\%\right)$

$0.1404\left(or14.05\%\right)$

Determine the continuous compounding interest rate required for $1000 to double in value in 8 years.

$0.086\left(or8.66\%\right)$

0.0866 (or 8.66%)

$0.086\left(or8.6\%\right)$

Calculate the continuous compounding interest rate needed for $2000 to grow to $2500 in 2 years.

$0.0953\left(or\ 9.54\%\right)$

0.0953 (or 9.53%)

$0.0953\left(or\ 9.55\%\right)$

Determine the time it takes for $10000 to grow to $12000 with continuous compounding at an annual rate of 3%.

4.83 years

4 years

3 years

Find the future value of $1500 invested at a continuous interest rate of 2.5% for 6 years.

$1710.26

$\$1710.25$

$\$1710.24$

Calculate the principal amount needed to grow to $3000 in 4 years with continuous compounding at an annual rate of 6%.

$\$2243.19$

$\$2243.18$

$\$2243.17$

Find the principal amount if $3000 grows to $3500 after 2 years with continuous compounding at an annual rate of 5%.

$2822.12

$\$2822.13$

$\$2822.14$

Questions

Time

Score

Use Compound Interest Formula For Continuous Compounding

Find the time it takes for $2000 to grow to $2500 with continuous compounding at an annual rate of 4.5%.

﻿1.65years1.65years1.65years﻿

﻿1.66years1.66years1.66years﻿

﻿1.67years1.67years1.67years﻿

Determine the continuous compounding interest rate needed for $5000 to triple in value in 10 years.

﻿0.0947(or9.49%)0.0947\left(or9.49\%\right)0.0947(or9.49%)﻿

﻿0.0948(or9.49%)0.0948\left(or9.49\%\right)0.0948(or9.49%)﻿

0.0949 (or 9.49%)

Find the principal amount that, after 5 years, will grow to $8000 with continuous compounding at an annual rate of 6%.

$5820.57

﻿$5820.56\$5820.56$5820.56﻿

﻿$5820.55\$5820.55$5820.55﻿

Calculate the continuous compounding interest rate required for $8000 to grow to $12000 in 3 years.

﻿0.1403(or14.05%)0.1403\left(or14.05\%\right)0.1403(or14.05%)﻿

﻿0.1405(or14.05%)0.1405\left(or14.05\%\right)0.1405(or14.05%)﻿

﻿0.1404(or14.05%)0.1404\left(or14.05\%\right)0.1404(or14.05%)﻿

Determine the continuous compounding interest rate required for $1000 to double in value in 8 years.

﻿0.086(or8.66%)0.086\left(or8.66\%\right)0.086(or8.66%)﻿

0.0866 (or 8.66%)

﻿0.086(or8.6%)0.086\left(or8.6\%\right)0.086(or8.6%)﻿

Calculate the continuous compounding interest rate needed for $2000 to grow to $2500 in 2 years.

﻿0.0953(or 9.54%)0.0953\left(or\ 9.54\%\right)0.0953(or 9.54%)﻿

0.0953 (or 9.53%)

﻿0.0953(or 9.55%)0.0953\left(or\ 9.55\%\right)0.0953(or 9.55%)﻿

Determine the time it takes for $10000 to grow to $12000 with continuous compounding at an annual rate of 3%.

4.83 years

4 years

3 years

Find the future value of $1500 invested at a continuous interest rate of 2.5% for 6 years.

$1710.26

﻿$1710.25\$1710.25$1710.25﻿

﻿$1710.24\$1710.24$1710.24﻿

Calculate the principal amount needed to grow to $3000 in 4 years with continuous compounding at an annual rate of 6%.

﻿$2243.19\$2243.19$2243.19﻿

﻿$2243.18\$2243.18$2243.18﻿

﻿$2243.17\$2243.17$2243.17﻿

Find the principal amount if $3000 grows to $3500 after 2 years with continuous compounding at an annual rate of 5%.

$2822.12

﻿$2822.13\$2822.13$2822.13﻿

﻿$2822.14\$2822.14$2822.14﻿

Incorrect

Great!

$1.65years$

$1.66years$

$1.67years$

$0.0947\left(or9.49\%\right)$

$0.0948\left(or9.49\%\right)$

$\$5820.56$

$\$5820.55$

$0.1403\left(or14.05\%\right)$

$0.1405\left(or14.05\%\right)$

$0.1404\left(or14.05\%\right)$

$0.086\left(or8.66\%\right)$

$0.086\left(or8.6\%\right)$

$0.0953\left(or\ 9.54\%\right)$

$0.0953\left(or\ 9.55\%\right)$

$\$1710.25$

$\$1710.24$

$\$2243.19$

$\$2243.18$

$\$2243.17$

$\$2822.13$

$\$2822.14$