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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Investment A principal of $2000 is deposited in a savings account that earns an interest rate of r (in decimal form), compounded continuously. The amount A ( r ,   t ) after  t  years is

A ( r ,   t )   = 2000 e r t

Use this function of two variables and a spreadsheet to complete the table.

Number of Years
Rate 5 10 15 20
0.02
0.04
0.06
0.07

To determine

To fill: The provided table by using functions of two variables and spreadsheet,

Number of years
Rate 5 10 15 20
0.02
0.04
0.06
0.07

Where the amount A(r,t) after t years is given by the function, A(r,t)=2000ert and a principal of $2000 is deposited in a saving account that earns an interest rate of r in decimal form compounded continuously.

Explanation

Given Information:

The amount A(r,t) after t years is given by the function,

A(r,t)=2000ert

And a principal of $2000 is deposited in a saving account that earns an interest rate of r in decimal form compounded continuously.

The provided incomplete table is,

Number of years
Rate 5 10 15 20
0.02
0.04
0.06
0.07

Consider the function,

A(r,t)=2000ert

Now use the MS-excel to complete the table by following the procedure provided as,

Step 1: Open the blank file in MS-excel and fill the cells from the second row and first column and then the second, third and fourth column as,

Step 2: Now put the cursor on the second column and second row of B and then enter the function as,

fx=2000*EXP($B$1*A2)

And then press enter to obtain the value and press drag the cursor downward to obtain the other values

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