Malik fulton savings account has a principal of $1640. it earns 6% interest compounded quarterly. what is the amount at the end of the second quarter?

Amount at the end of second quarter is, $1689.569

Step-by-step explanation:

Given: Principal(P) = $1640 , Rate(r) = 6% = 0.06

Formula to find the Amount:

Amount(A) =

where

P represent the principal

r represents the annual rate (in decimals)

n represents the number of times compounded per year

and t is the time in year.

Here, n = 4 , P= $1640 and r = 0.06

Amount(A) =

where 4t represents the number of quarter

We have to find the Amount at the end of the second quarter.

substitute 4t = 2 (number of quarter is 2)

then;

or

or

Simplify:

A = $ 1689.569

therefore, the amount at the end of second quarter is, $1689.569

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.