Lashea would like to invest her $100 in birthday money. which option will give her the most money at the end of the investment period? 1 year at 8 percent 1.5 years at 7 percent 2 years at 6.5 percent 3 years at 4 percent

She receives $100 in birthday money. I believe we are counting by years

In 1 year, she receives 8 percent.

8% = 8/100 = 0.08

100 x 0.08 = $8

100 + 8 = $108

1.5 years at 7%

100 x 0.07 = 7

7/2 = 3.5

100 + 7 + 3.5 = $110.5

6.5% at 2 years

100 x 0.065 = 6.5

6.5 x 2 = 13

100 + 13 = $113

4% in 3 years

100 x 0.04 = 4

4 x 3 = 12

100 + 12 = 112

$112

In comparison, we can see that 6.5% at 2 years generates the most money at $113.

hope this helps

She gets the most money ($113.42) by investing 2 yr at 6.5 %.

1 yr at 8 %

Value = $100 × 1.08 = $108.00

1.5 yr at 7 %

Value = $100(1.07)^1.5 = $110.68

2 yr at 6.5 %

Value = $100(1.065)^2 = $113.42

3 yr at 4 %

Value = $100(1.04)^3 = $112.49

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.