Answer:46%
Step-by-step explanation:
Just took test
Answer:
2 real solutions
Step-by-step explanation:
Answer: (3, 69)
Step-by-step explanation:
First, let's write our equations with one variable isolated in one side.
for the first one we have:
x + 5y = 7
we can isolate x:
x = 7 - 5*y.
For the other equation we have:
15*x + P*y = Q
here isolating x we get:
x = Q/15 + (P/15)*y
So our equations are:
x = (P/15)*y + Q/15
x = - 5*y + 7
Now, for a line:
x = a*y + b
a perpendicular line would be:
x = -(1/a)*x + c
So we must have that:
(P/15) = -(1/--5) = 1/5
P/3 = 1
P = 3.
Now, this equation needs to pass through the point (-8, 3)
so we have:
3 = (3/15)*-8 + Q/15 = -1.6 + Q/15
3 + 1.6 = Q/15
4.6*15 = Q = 69
Then P = 3 and Q = 69
the ordered pair is (3, 69)
She should invest $30000 in the 9% fund and $10000 in the 13% fund.
<u><em>Explanation</em></u>
Suppose, the amount of investment at 9% rate is 
dollar.
As the total amount of investment is $40000 , so the investment at 13% rate will be: 
So, the amount of earnings per year from 9% fund 
dollar
and the amount of earnings per year from 13% fund 
dollar.
Given that, the <u>total earnings per year is $4000</u>. So the equation will be......
So, the amount of investment at 9% fund is $30000 and the amount of investment at 13% fund = ($40000- $30000)= $10000
