Need plz .you have $2500 to invest in two different accounts. in order to save the money you need for college, you need to average 7% interest. if the two accounts pay 7.5% and 6% interest, how much should you invest in each account? round to the nearest dollar amount.

a)$1667 in 7.5%, $833 in 6%

b)$1833 in 7.5%, $667 in 6%

c)$667 in 7.5%, $1833 in 6%

d)$833 in 7.5%, $1667 in 6%

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

Let amount of money invested 6% account = x

Let amount of money invested 7.5% account = y

Then we get equations:

x+y=2500

or x=2500-y ...(i)

6% of x+7.5% of y=7% of (2500)

or 0.06x+0.075y=0.07(2500)

or 60x+75y=175000...(ii)

plug (i) into (ii)

60x+75y=175000

60(2500-y)+75y=175000

150000-60y+75y=175000

-60y+75y=175000-150000

15y=25000

y=$1666.66666667

or y=1667

plug into (i)

x=2500-y=2500-1667=833

Hence final answer is A)$1667 in 7.5%, $833 in 6%

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: