You plan to retire in exactly 20 years. Your goal is to create a fund that will allow you to receive $20,000 at the end of each year for the
30 years between retirement and death (a psychic told you would die exactly 30
years after you retire). You know that you will be able to earn 11% per year during
the 30-year retirement period.
a. How large a fund will you need when you retire in 20 years to provide the
30-year, $20,000 retirement annuity?
b. How much will you need today as a single amount to provide the fund calculated
in part a if you earn only 9% per year during the 20 years preceding retirement?
c. What effect would an increase in the rate you can earn both during and prior to
retirement have on the values found in parts a and b? Explain.

d. Now assume that you will earn 10% from now through the end of your retire-
ment. You want to make 20 end-of-year deposits into your retirement account

that will fund the 30-year stream of $20,000 annual annuity payments. How
large do your annual deposits have to be?

no

step-by-step explanation:

2-7=-5

7-2=5

when you combing like terms for ech expression, 5 and -5. these numbers are not equal to each other.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5