Each Year for the Next 10 Years, Carmen Lector Will

question 24

Essay

Each year for the next 10 years, Carmen Lector will deposit $4,000 into an investment fund that pays 8% compounded annually. Use the following tables:
Excerpt from the Present Value of an Ordinary Annuity of $1 Table
$$\begin{array} { | c | c | c | c | } \hline \text { Periods } & 8 \% & 9 \% & 10 \% \\\hline 1 & 0.92593 & 0.91743 & 0.90909 \\\hline 2 & 1.78326 & 1.75911 & 1.73554 \\\hline 3 & 2.57710 & 2.53130 & 2.48685 \\\hline 4 & 3.31213 & 3.23972 & 3.16986 \\\hline 5 & 3.99271 & 3.88965 & 3.79079 \\\hline 6 & 4.62288 & 4.48592 & 4.35526 \\\hline 7 & 5.20637 & 5.03295 & 4.86842 \\\hline 8 & 5.74664 & 5.53482 & 5.33493 \\\hline 9 & 6.24689 & 5.99525 & 5.75902 \\\hline 10 & 6.71008 & 6.41766 & 6.14457 \\\hline\end{array}$$
Excerpt from the Present Value of an Annuity Due of $1 Table
$$\begin{array} { | c | c | c | c | } \hline \text { Periods } & 8 \% & 9 \% & 10 \% \\\hline 1 & 1.0 & 1.0 & 1.0 \\\hline 2 & 1.92593 & 1.91743 & 1.90909 \\\hline 3 & 2.78326 & 2.75911 & 2.73554 \\\hline 4 & 3.57710 & 3.53130 & 3.48685 \\\hline 5 & 4.31213 & 4.23972 & 4.16986 \\\hline 6 & 4.99271 & 4.88965 & 4.79079 \\\hline 7 & 5.62288 & 5.48592 & 5.35526 \\\hline 8 & 6.20637 & 6.03295 & 5.86842 \\\hline 9 & 6.74664 & 6.53482 & 6.33493 \\\hline 10 & 7.24689 & 6.99525 & 6.75902 \\\hline\end{array}$$
a. What is the present value of those investment payments if the first of 10 deposits are made at the end of each year?
b. What is the present value of those investment payments if the first of 10 deposits are made at the beginning of each year?

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Definitions:

Nutrition Interventions

Actions or strategies put in place to improve nutritional status or health outcomes, such as dietary modifications, supplementation, or education programs.

Motivational Level 1

Represents the foundational stage of motivational readiness, where an individual might have low commitment to change or adopt new behaviors.

Nutrition Counseling Motivational Algorithm

A systematic approach used in nutrition counseling to enhance motivation and facilitate positive changes in dietary behaviors.

Motivational Level 3

A conceptual stage in motivational theory where individuals show higher readiness and commitment to change.