The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $ 10 , 000 in a saving account that earns, 4 % interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000 − 500 t dollars per year and the solution of this is given in the below graph. .

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Answer 1

Question

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

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Answer 2

Question

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

Expert Solution & Answer

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Answer 3

Question

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

Expert Solution & Answer

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Answer 4

Question

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

Expert Solution & Answer

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Answer 5

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

Answer 6

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

Answer 7

Chapter 10.4, Problem 24E

(a)

To determine

The time the account will take to deplete where the person contributed to the account before starting to withdraw from it, where depositing an initial amount of $10,000 in a saving account that earns, 4% interest compounded continuously and continued to make deposits for a certain period of time and then started to make withdrawals with the annual rate of deposits given by 3000−500t dollars per year and the solution of this is given in the below graph.

.

Answer 8

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

Answer 9

(b)

To determine

The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

Answer 10

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

Answer 11

(c)

To determine

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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Solution Summary: The graph crosses the t axis at 17 to determine the time the account will deplete.

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The solution of y'−0.04y=3000−500t, y(0)=10,000, which is satisfied by P(t).

To prove: That the account will take 17 years to deplete using the formula P(t)=12,500t+237,500−227500e0.04t and technology.

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Chapter 10 Solutions