alexisfaithsmith

15.07.2019 • 

Mathematics

Me olga deposited $1500 in a savings account that pays 7.5% interest compounded quarterly. what is the balance in her account at the beginning of the third quarter? a. $1,590 b. $1,560 c. $1,585.97 d. $1,591.81 ok let me make one thing clear: i have put up questions like this before but i am not trying to just get answers. i legit want to learn this. it is just hard for me i guess.. so sorry if this answer seems simple to you but its not to me so if you could explain your answer clearly, in particular with "compound quarterly." explain so i can use the principles later on. you!

Ответ:

pr957362

31.05.2020

Mathematics

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Let P be the final value
Let r be the rate
Let t be the time in years
Let C be the initial value
Let n be the number of times interest is given per year

P = C (1 + r/n) ^ (nt)

r = 0.075 (7.5%)
t = 3/4 years
C = $1500
r = 4 (4 quarters in one year)

P = C (1+r/n)^ (t/n)
= 1500 * (1 + 0.075/4) ^ (3/4 * 4)
= 1585.97

Have an awesome day!

If you are wondering, a quarter means 1/4 of a year.

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Ответ:

shy5732

01.03.2022

Mathematics

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A. 1 
a triangle can only have 1 right angle

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