The desired accumulated amount is 85000 after 11 years invested in an account with 7% interest compounded semiannually the amount to be invested now or the present value needed is

Use the compound amount formula:

A = P (1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of compounding periods per year, t is the number of years and P is the principal.

Then A = $85000 = P*(1 + 0.07/2)^(2*11), or

            = $85000/ (1 + 0.035)^22   =    $39877.80

This is the amount to be invested to result in $85000 after 11 years.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

hi there!

the answer will be d: 2