At the time of her grandson's birth, a grandmother deposits $ 3000 in an account that pays 3 % compounded monthly. what will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
the value of the account will be $=

(round to the nearest dollar as needed.)

The value of the account will be $5,628

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

therefore

The value of the account will be $5,628

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

5050

hope this !