Today is Sarah’s 12th birthday. She has a savings account with $515 in it, but her goal is to save $10,000 by the time she turns 18. How much money should she add to her savings account each year to reach her goal?

She should save $1,580.83 per year.

Step-by-step explanation:

Sarah has 6 years left before she turns 18 (13, 14, 15, 16, 17, 18). Which means, however much money she doesn't have will have to be divided by 6 to get the yearly amount.

10,000 - 515 = 9,485.

9,485/6 = approximately 1580.83

As such, she should save $1,580 and 83 cents each year.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.