a. Answer Time needed is around 39.52 years. Explanation Given information : Principal $100 compounded annually at 6% annual interest. We shall use the formula, A = P ( 1 + r n ) n t Put the given values we get, 1000 = 100 ( 1 + 0.06 1 ) 1 × t 10 = 1.06 t t = 39.52 Time needed is around 39.52 years. b. To determine To determine the time to reach $1000. Answer Time needed is around 38.66 years. Explanation Given information : Principal $100 compounded quarterly at 6% annual interest. We shall use the formula, A = P ( 1 + r n ) n t Put the given values we get, 1000 = 100 ( 1 + 0.06 4 ) 4 × t 10 = 1.015 4 t t = 38.66 Time needed is around 38.66 years. c. To determine To determine the time to reach $1000. Answer Time needed is around 38.38 years. Explanation Given information : Principal $100 compounded daily at 6% annual interest. We shall use the formula, A = P ( 1 + r n ) n t Put the given values we get, 1000 = 100 ( 1 + 0.06 365 ) 365 × t 10 = 1.00016 365 t t = 38.38 Time needed is around 38.38 years. d. To determine To determine the time to reach $1000. Answer Time needed is around 38.38 years. Explanation Given information : Principal $100 compounded continuously at 6% annual interest. We shall use the formula, A = P ( 1 + r n ) n t Put the given values we get, 1000 = 100 ( 1 + 0.06 365 ) 365 × t 10 = 1.00016 365 t t = 38.38 Time needed is around 38.38 years.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Question

Chapter 6.6, Problem 43E

To determine

To determine the time to reach $1000.

Expert Solution

Answer to Problem 43E

Time needed is around 39.52 years.

Explanation of Solution

Given information:

Principal $100 compounded annually at 6% annual interest.

We shall use the formula,

A=P(1+rn)nt

Put the given values we get,

1000=100(1+0.061)1×t10=1.06tt=39.52

Time needed is around 39.52 years.

To determine

To determine the time to reach $1000.

Expert Solution

Answer to Problem 43E

Time needed is around 38.66 years.

Explanation of Solution

Given information:

Principal $100 compounded quarterly at 6% annual interest.

We shall use the formula,

A=P(1+rn)nt

Put the given values we get,

1000=100(1+0.064)4×t10=1.0154tt=38.66

Time needed is around 38.66 years.

To determine

To determine the time to reach $1000.

Expert Solution

Answer to Problem 43E

Time needed is around 38.38 years.

Explanation of Solution

Given information:

Principal $100 compounded daily at 6% annual interest.

We shall use the formula,

A=P(1+rn)nt

Put the given values we get,

1000=100(1+0.06365)365×t10=1.00016365tt=38.38

Time needed is around 38.38 years.

To determine

To determine the time to reach $1000.

Expert Solution

Answer to Problem 43E

Time needed is around 38.38 years.

Explanation of Solution

Given information:

Principal $100 compounded continuously at 6% annual interest.

We shall use the formula,

A=P(1+rn)nt

Put the given values we get,

1000=100(1+0.06365)365×t10=1.00016365tt=38.38

Time needed is around 38.38 years.

Chapter 6.6, Problem 42E

Chapter 6.6, Problem 44E

Chapter 6 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - Prob. 60E Ch. 6.2 - Prob. 1E Ch. 6.2 - Prob. 2E Ch. 6.2 - Prob. 3E Ch. 6.2 - Prob. 4E Ch. 6.2 - Prob. 5E Ch. 6.2 - Prob. 6E Ch. 6.2 - Prob. 7E Ch. 6.2 - Prob. 8E Ch. 6.2 - Prob. 9E Ch. 6.2 - Prob. 10E Ch. 6.2 - Prob. 11E Ch. 6.2 - Prob. 12E Ch. 6.2 - Prob. 13E Ch. 6.2 - Prob. 14E Ch. 6.2 - Prob. 15E Ch. 6.2 - Prob. 16E Ch. 6.2 - Prob. 17E Ch. 6.2 - Prob. 18E Ch. 6.2 - Prob. 19E Ch. 6.2 - Prob. 20E Ch. 6.2 - Prob. 21E Ch. 6.2 - Prob. 22E Ch. 6.2 - Prob. 23E Ch. 6.2 - Prob. 24E Ch. 6.2 - Prob. 25E Ch. 6.2 - Prob. 26E Ch. 6.2 - Prob. 27E Ch. 6.2 - Prob. 28E Ch. 6.2 - Prob. 29E Ch. 6.2 - Prob. 30E Ch. 6.2 - Prob. 31E Ch. 6.2 - Prob. 32E Ch. 6.2 - Prob. 33E Ch. 6.2 - Prob. 34E Ch. 6.2 - Prob. 35E Ch. 6.2 - Prob. 36E Ch. 6.2 - Prob. 37E Ch. 6.2 - Prob. 38E Ch. 6.2 - Prob. 39E Ch. 6.2 - Prob. 40E Ch. 6.2 - Prob. 41E Ch. 6.2 - Prob. 42E Ch. 6.2 - Prob. 43E Ch. 6.2 - Prob. 44E Ch. 6.2 - Prob. 45E Ch. 6.2 - Prob. 46E Ch. 6.2 - Prob. 47E Ch. 6.2 - Prob. 48E Ch. 6.2 - Prob. 49E Ch. 6.2 - Prob. 50E Ch. 6.2 - Prob. 51E Ch. 6.3 - 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