Category predicted cost tuition $36,620 room and board $12,900 books and fees $2,450 transportation $3,100 other $1,330 . emily is using the table to determine the minimum amount of money she should save monthly if she is to have enough money to pay for her first year of college. she anticipates receiving $6,000 in grants and has 6 years to save in a college savings account. without including any interest earned, what is a reasonable estimate of the amount emily and her family should save each month for the next 6 years to pay for her first year of college?

$700 per month

Step-by-step explanation:

Here we are given with the various expenses which are supposed to be incurred for her first year of college. Emily also expect a grant of $6000.

Let us now add all the expenses that could incur in first year and subtract $6000 from the sum, to find the total amount she need to accumulate in next 6 years.

Total expenses = Cost  tuition+ room and board Cost  +books and fees Cost  + transportation Cost   + other Costs

Total expenses = $36,620+$12,900+$2,450+$3,100+$1,330

                         = $56,400

Expected Grant = $6,000

Net expenses    = Total expenses - Expected Grant

                          = $56,400 - $6,000

                          = $ 50,400

Now we see that Emily has to save $50,400 for her first year. And she has got 6 year or 6*12 months = 72 months to do so. Hence amount she need to save per month from today will be

  =

  =

Hence Emily must save $700 per month

89

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)