Answer:
The answer of the addition of 3/5, 5/8 and 15/32 is 1/2
Step-by-step explanation:
3/5 + 5/8 + 15/32
We find the LCm of the denominators, that is, 5, 8 and 32
LCM = 5*32 = 160
[(160/5 + 3) + (160/8 + 5) + (160/32 + 15)]/160
[(32+3) + (20+5) + (5+15)]/160
[35+25+20]/160
80/160 = 1/2
1/100 as a fraction is what you're looking for, I assume. 1 over 100, one part of one hundred equal parts.
I found the same question on the internet and their answer is $9.76, which is obviously not in your choices. They deducted both given interest rates before multiplying it to the emergency fund amount and dividing it by 12 months.
4.57%−3.5%
=1.07%
(0.0107×10,943.89)÷12
=9.76
Another possible answer is $22.96 using 30 days / 365 days in a year.
Savings: 10,943.89 x (1/4) x 3.5% x (30/365) = $7.87
CD: 10,943.89 x the remainder (3/4) x 4.57% x (30/365) = $30.83
The difference between the two values: 30.83 - 7.87 = $ 22.96: so the first choice (I'm not so sure though)
Answer:
Initial costs 750 and loses .28 of value each year, so still worth 1-.28=.72 of value at start of next year. 750*(.72)^n is the value after n years since for n=0, new, it is 750*.72^0=750*1=750, and after 1 year it is worth 750*.72^1=750*.72 means it lost 28% value after one year. If you with to express it as an exponential exp(..) you need to convert the .72^n into exp(log(.72)*n)=exp(-.3285*n) so you get
750*exp(-.3285*n) as the value after n years.
Log base 4 of 32 is equal to 5/2.
What a log is looking for is what number do we have to raise 4 to in order to get 32. Since it is not an exact multiply of 4, we have to look for fractions. Since we know that 2 can multiply directly to 32, we would simply take the square root of 4. This can be done by raising 4 to the 1/2.
Now that we have 2, we know that raising that to the 5th power would give us 32. So we'll take that answer and the 1/2 from before and multiply them together to get the final answer.
5*1/2 = 5/2.
