Hi there!
To add fractions there are three simple steps:
1. Make sure the bottom numbers (denominators) are the same. → In your case you're all good, both your denominators are 8.
2. Add the top numbers (numerators) and put that answer over the denominator :
-3 + 7 = 4 → 
3. Simplify the fraction (if needed). → In your case, you do need to simplify your fraction :
Divide both your numerator and denominator by 4 to get your simplified fraction :
4 ÷ 4 = 1
8 ÷ 4 = 2
Your simplified fraction is : 
There you go! I really hope this helped, if there's anything just let me know! :)
Answer: C
Step-by-step explanation:
A total of $27,000 was invested; part of it at 10% and part of it at 12%. The total yield was $2990. How much was invested at each rate?
Let
x -----> amount invested at 10%
(27,000-x) -----> amount invested at 12%
we have that
0.10(x)+0.12(27,000-x)=2990 ------> equation A
solve for x
0.10x+3,240-0.12x=2,990
0.12x-0.10x=3,240-2,990
0.02x=250
x=$12,500
so
27,000-x=27,000-12,500=$14,500
therefore
amount invested at 10% ----> $12,500
amount invested at 12% -----> $14,500
Answer: 77,392 is bigger
Step-by-step explanation:
We obviously know 77,000 is bigger 67,000. Just looking at the thousands place we can tell which number is bigger. We can also write this as 77,392 > 67,993.
Hope this helps :)
Answer: a) -13/16
Step-by-step explanation: Start by setting equations equal and rearrange X^3 - x^2 + 1 = 0. Visual inspection of graph shows x between -1 and -1/2. Start with x = 3/4 plug in and calculate: just a little too small. Try going halfway towards -1: x =-7/8 Plug in and the answer is very far from 0. Go halfway back towards -3/4: -13/16 and the equality is very close.
