You have 750000 in an ira at the time you retire. You have the option of investing this money in two funds Fund A pays 2.7% annually and fund B pays 7.7% annually. How should you divide your money between fund A and fund B to produce an annual interest income of 47,750

$200000 should be invested in fund A.

$550000 should be invested in fund B.

Step-by-step explanation:

Let x represent the amount that should be invested in fund A.

Let y represent the amount that should be invested in fund B

You have 750000 in an ira at the time you retire. You have the option of investing this money in two funds. This means that

x + y = 750000

The formula for determining simple interest is expressed as

I = PRT/100

Considering the amount invested in fund A

P = $x

T = 1 year

R = 2.7℅

I = (x × 2.7 × 1)/100 = 0.027x

Considering the amount invested in fund B

P = $y

T = 1 year

R = 7.7℅

I = (y × 7.7 × 1)/100 = 0.077y

For fund A and fund B to produce an annual interest income of 47,750, it means that

0.027x + 0.077y = 47750 - - - - - - -1

Substituting x = 750000 - y into equation 1, it becomes

0.027(750000 - y) + 0.077y = 47750

20250 - 0.027y + 0.077y = 47750

- 0.027y + 0.077y = 47750 - 20250

0.05y = 27500

y = 27500/0.05

y = 550000

x = 750000 - 550000

x = 200000

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: