On the day a person is born, a deposit of $10,000 is made in a trust fund that pays 5% interest, compound quarterly. Find the balance on the person's 18th birthday.

Given:

Amount deposited on birth = $10,000.

Interest rate = 5% compound quarterly.

To find:

The balance on the person's 18th birthday.

Solution:

The formula for amount is

where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

Substitute P=10000, r=0.05, n=4, t=18 in the above formula.

Therefore, the balance on the person's 18th birthday is $24459.20.

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

(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