Complete the table for a savings account in which interest is compounded continuously. \[\begin{array} { | c | c | c | c | } \hline \text { Initial investment } & \text { Annual \% rate } & \text { Time to double } & \begin{array} { c } \text { Amount after 10 } \\ \text { years } \end{array} \\ \hline \$ 5000 & 5.5 \% & \cdots & \cdots \\ \hline \end{array}\] (Round the answer up to two decimal places. )

A) Time to double: $13 yr$ Amount after 10 years: \[\$ 9166.27\] B) Time to double: \[13 yr\] Amount after 10 years: $\$ 9666.27$ C) Time to double: $18 yr$ Amount after 10 years: $\$ 8666.27$ D) Time to double: $8 y r$ Amount after 10 years: $\$ 8666.27$ E) Time to double: $13 yr$ Amount after 10 years: $\$ 8666.27$ A) Time to double: $13 yr$ Amount after 10 years: \[\$ 9166.27\] B) Time to double: \[13 yr\] Amount after 10 years: $\$ 9666.27$ C) Time to double: $18 yr$ Amount after 10 years: $\$ 8666.27$ D) Time to double: $8 y r$ Amount after 10 years: $\$ 8666.27$ E) Time to double: $13 yr$ Amount after 10 years: $\$ 8666.27$

Complete the table for a savings account in which interest is compounded continuously. \[\begin{array} { | c | c | c | c | } \hline \text { Initial investment } & \text { Annual \% rate } & \text { Time to double } & \text { Amount after 10 years } \\ \hline { \$ 750 } & ....& 9 \frac { 3 } { 4 } y r &.... \\ \hline \end{array}\] (Round the answer up to two decimal places. )

A) Annual rate: $7.11 \%$ Amount after 10 years: $\$ 1527.02$ B) Annual rate: $11.11 \%$ Amount after 10 years: $\$ 1527.02$ C) Annual rate: $7.11 \%$ Amount after 10 years: $\$ 1027.02$ D) Annual rate: $7.11 \%$ Amount after 10 years: $\text { \$2027.02 }$ E) Annual rate: $9.11 \%$ Amount after 10 years: $\$ 1527.02$ A) Annual rate: $7.11 \%$ Amount after 10 years: $\$ 1527.02$ B) Annual rate: $11.11 \%$ Amount after 10 years: $\$ 1527.02$ C) Annual rate: $7.11 \%$ Amount after 10 years: $\$ 1027.02$ D) Annual rate: $7.11 \%$ Amount after 10 years: $\text { \$2027.02 }$ E) Annual rate: $9.11 \%$ Amount after 10 years: $\$ 1527.02$

Complete the table for the radioactive isotope. $\begin{array}{|l|l|l|l|} \hline \text { Isotope } & \begin{array}{l} \text { Half-life } \\ \text { (years) } \end{array} & \text { Initial Quantity } & \begin{array}{l} \text { Amount after } 1000 \\ \text { years } \end{array} \\ \hline{ }^{239} \mathrm{Pu} &24,100 &-- & 0.3g\\ \hline \end{array}$

A) Initial Quantity: $1.31 \mathrm {~g}$ B) Initial Quantity: $3.31 \mathrm {~g}$ C) Initial Quantity: $4.31 \mathrm {~g}$ D) Initial Quantity: $2.31 \mathrm {~g}$ E) Initial Quantity: $0.31 \mathrm {~g}$ A) Initial Quantity: $1.31 \mathrm {~g}$ B) Initial Quantity: $3.31 \mathrm {~g}$ C) Initial Quantity: $4.31 \mathrm {~g}$ D) Initial Quantity: $2.31 \mathrm {~g}$ E) Initial Quantity: $0.31 \mathrm {~g}$

Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded continuously at rate r. \[\begin{array} { | l | l | l | l | l | l | l | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & & & & & & \\ \hline \end{array}\] (Round the answer up to two decimal places. )

A) \[\begin{array} { | l | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 7.32 & 7.85 & 8.45 & 9.99 & 10.99 & 13.73 \\ \hline \end{array}\] B) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 13.73 & 9.99 & 10.99 & 8.45 & 7.32 & 7.85 \\ \hline \end{array}\] C) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 13.73 & 10.99 & 9.99 & 7.85 & 7.32 & 8.45 \\ \hline \end{array}\] D) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 7.32 & 7.85 & 9.99 & 8.45 & 10.99 & 13.73 \\ \hline \end{array}\] E) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 13.73 & 10.99 & 9.99 & 8.45 & 7.85 & 7.32 \\ \hline \end{array}\] A) \[\begin{array} { | l | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 7.32 & 7.85 & 8.45 & 9.99 & 10.99 & 13.73 \\ \hline \end{array}\] B) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 13.73 & 9.99 & 10.99 & 8.45 & 7.32 & 7.85 \\ \hline \end{array}\] C) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 13.73 & 10.99 & 9.99 & 7.85 & 7.32 & 8.45 \\ \hline \end{array}\] D) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 7.32 & 7.85 & 9.99 & 8.45 & 10.99 & 13.73 \\ \hline \end{array}\] E) \[\begin{array} { | c | c | c | c | c | c | c | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\ \hline t & 13.73 & 10.99 & 9.99 & 8.45 & 7.85 & 7.32 \\ \hline \end{array}\]

Complete the table for a savings account in which interest is compounded continuously. \[\begin{array} { | c | c | c | c | } \hline \text { Initial investment } & \text { Annual rate } & \text { Time to double } & \text { Amount after 10 years } \\ \hline \$ 11,000 & \ldots& \ldots & \$ 21996.76 \\ \hline \end{array}\] (Round the answer up to two decimal places. )

A) Annual rate: $8.93 \%$ Time to double: 10 $y r$ B) Annual rate: $6.93 \%$ Time to double: 15 yr C) Annual rate: $10.93 \%$ Time to double: 10 $y r$ D) Annual rate: $6.93 \%$ Time to double: 14 yr E) Annual rate: $6.93 \%$ Time to double: 10 $y r$ A) Annual rate: $8.93 \%$ Time to double: 10 $y r$ B) Annual rate: $6.93 \%$ Time to double: 15 yr C) Annual rate: $10.93 \%$ Time to double: 10 $y r$ D) Annual rate: $6.93 \%$ Time to double: 14 yr E) Annual rate: $6.93 \%$ Time to double: 10 $y r$

Exam 22: Exponential and Logarithmic Models

Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual \% rate Time to double Amount after 10 years \ 5000 5.5\% \@cdots \@cdots (Round the answer up to two decimal places. )

(Multiple Choice)

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Question 41

Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded annually at rate r.Round your answer to two decimal places. r 10\% 12\% 14\% 16\% 18\% 20\% t

(Multiple Choice)

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Question 42

Select the correct graph for the given function $y = 5 + \log ( x + 2 )$

(Multiple Choice)

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Question 43

The populations P (in thousands)of Horry County,South Carolina from 1970 through 2007 can be modeled by $P = - 13.5 + 92.2 e ^ { 0.0282 t }$ where t represents the year,with $t = 0$ corresponding to 1970.Use the model to complete the table.Round your answer to two decimal places. Year 1970 1980 1990 2000 2007 Population

(Multiple Choice)

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Question 44

Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual \% rate Time to double Amount after 10 years \ 750 .... 9yr .... (Round the answer up to two decimal places. )

(Multiple Choice)

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Question 45

Find the exponential model $y = a e ^ { 0.7675 x }$ that fits the points shown in the graph. $Find the exponential model y = a e ^ { 0.7675 x } that fits the points shown in the graph. $

(Multiple Choice)

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Question 46

Complete the table for the radioactive isotope. Isotope Half-life (years) Initial Quantity Amount after 1000 years 24,100 -- 0.3g

(Multiple Choice)

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Question 47

Find the exponential model $y = a e ^ { 0.5756 x }$ that fits the points shown in the graph. $Find the exponential model y = a e ^ { 0.5756 x } that fits the points shown in the graph. $

(Multiple Choice)

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Question 48

An initial investment of $5000 doubles in value in 6.3 years.Assuming continuous compounding,what was the interest rate? Round to the nearest tenth of a percent.

(Multiple Choice)

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Question 49

Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded continuously at rate r. r 8\% 10\% 11\% 13\% 14\% 15\% t (Round the answer up to two decimal places. )

(Multiple Choice)

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Question 50

Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual rate Time to double Amount after 10 years \ 11,000 \ldots \ldots \ 21996.76 (Round the answer up to two decimal places. )

(Multiple Choice)

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Question 51

The population P (in thousands)of Reno,Nevada from 2000 through 2007 can be modeled by $P = 346.8 e ^ { k t }$ where t represents the year,with $t = 0$ corresponding to 2000.In 2005,the population of Reno was about 395,000.According to the model,during what year will the population reach 486,000.00?

(Multiple Choice)

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Question 52

Select the correct graph for the given function $y = 4 e ^ { x / 2 }$

(Multiple Choice)

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Question 53

The population P of a bacteria culture is modeled by $P = 4100 e ^ { k t }$ ,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.

(Multiple Choice)

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Question 54

Select a scatter plot of the given data. R $7 \%$ $8 \%$ $11 \%$ $12 \%$ $14 \%$ $15 \%$ t $16.24$ $14.27$ $10.53$ $9.69$ $8.38$ $7.86$

(Multiple Choice)

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Question 55

Tritium,a radioactive isotope of hydrogen,has a half-life of 12.4 years.Of an initial sample of 33 grams,how much will remain after 69 years?

(Multiple Choice)

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Question 56

Exam 22: Exponential and Logarithmic Models

Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual \% rate Time to double Amount after 10 years \ 5000 5.5\% \@cdots \@cdots (Round the answer up to two decimal places. )

​Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded annually at rate r.Round your answer to two decimal places. ​​ r 10\% 12\% 14\% 16\% 18\% 20\% t

Select the correct graph for the given function ​​ y=5+log⁡(x+2)y = 5 + \log ( x + 2 )y=5+log(x+2) ​

Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual \% rate Time to double Amount after 10 years \ 750 .... 9yr .... (Round the answer up to two decimal places. )

Find the exponential model y=ae0.7675xy = a e ^ { 0.7675 x }y=ae0.7675x that fits the points shown in the graph.​ ​

Complete the table for the radioactive isotope. Isotope Half-life (years) Initial Quantity Amount after 1000 years 24,100 -- 0.3g

Find the exponential model y=ae0.5756xy = a e ^ { 0.5756 x }y=ae0.5756x that fits the points shown in the graph.​ ​

An initial investment of $5000 doubles in value in 6.3 years.Assuming continuous compounding,what was the interest rate? Round to the nearest tenth of a percent.

​Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded continuously at rate r. ​​ r 8\% 10\% 11\% 13\% 14\% 15\% t (Round the answer up to two decimal places. )​

Complete the table for a savings account in which interest is compounded continuously. Initial investment Annual rate Time to double Amount after 10 years \ 11,000 \ldots \ldots \ 21996.76 (Round the answer up to two decimal places. )

Select the correct graph for the given function​ y=4ex/2y = 4 e ^ { x / 2 }y=4ex/2 ​

The population P of a bacteria culture is modeled by P=4100ektP = 4100 e ^ { k t }P=4100ekt ,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.

Select a scatter plot of the given data. ​ R 7%7 \%7% 8%8 \%8% 11%11 \%11% 12%12 \%12% 14%14 \%14% 15%15 \%15% t 16.2416.2416.24 14.2714.2714.27 10.5310.5310.53 9.699.699.69 8.388.388.38 7.867.867.86 ​ ​ ​

Tritium,a radioactive isotope of hydrogen,has a half-life of 12.4 years.Of an initial sample of 33 grams,how much will remain after 69 years? ​

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Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded annually at rate r.Round your answer to two decimal places. r 10\% 12\% 14\% 16\% 18\% 20\% t

Select the correct graph for the given function $y = 5 + \log ( x + 2 )$

Find the exponential model $y = a e ^ { 0.7675 x }$ that fits the points shown in the graph. $Find the exponential model y = a e ^ { 0.7675 x } that fits the points shown in the graph. $

Find the exponential model $y = a e ^ { 0.5756 x }$ that fits the points shown in the graph. $Find the exponential model y = a e ^ { 0.5756 x } that fits the points shown in the graph. $

Complete the table for the time t (in years)necessary for P dollars to triple if interest is compounded continuously at rate r. r 8\% 10\% 11\% 13\% 14\% 15\% t (Round the answer up to two decimal places. )

Select the correct graph for the given function $y = 4 e ^ { x / 2 }$

The population P of a bacteria culture is modeled by $P = 4100 e ^ { k t }$ ,where t is the time in hours.If the population of the culture was 5800 after 40 hours,how long does it take for the population to double? Round to the nearest tenth of an hour.

Select a scatter plot of the given data. R $7 \%$ $8 \%$ $11 \%$ $12 \%$ $14 \%$ $15 \%$ t $16.24$ $14.27$ $10.53$ $9.69$ $8.38$ $7.86$

Tritium,a radioactive isotope of hydrogen,has a half-life of 12.4 years.Of an initial sample of 33 grams,how much will remain after 69 years?