The probability that Andrew has heart disease is 0.9. Andrew takes a test for the disease that has an accuracy rate of 75%. What is the probability that Andrew has heart disease and the test accurately predicts it?
Answer: The probability that Andrew has heart disease 
Also we know that the accuracy rate of test 
or 
The given two events are independent.
Therefore, the probability that Andrew has heart disease and the test accurately predicts it 
Answer:
- 20-year fixed-rate at 7.5%
- $106,219.32
Step-by-step explanation:
The shorter the term, the lower the amount of interest.
The lower the interest rate, the lower the amount of interest.
The loan that has both a shorter term and a lower interest rate will cost less in interest.
___
The total of payments for the 30-year loan is 396,232.87.
The total of payments for the 20-year loan is 290,013.55.
The amount saved by taking the shorter loan is the difference of these amounts: $106,219.32.
_____
You can use an amortization formula, spreadsheet, or a financial calculator to compute the payments for each loan. The total repayment amount is the product of the monthly payment and the number of them, 360 for the 30-year loan; 240 for the 20-year loan.
4x - 5y = 15
put x=0, 4(0) - 5y = 15
-5y = 15
y = -3
coordinates (0,-3)
put y=0, 4x - 5(0) = 15
x = 15/4
coordinates (15/4,0)
put y=1, 4x - 5(1) =15
4x = 20
x = 5
coordinates (5,1)
Plot the three coordinates to obtain a straight line.
Note: You can also use other points rather from what i mentioned.
Hope it helped!
X+4y+x+y= 4x+y=180
simplify by adding like terms
2x+5y= 4x+y=180
Subtract y from each side
2x+4y=4x=180
Subtract 2x from each side
4y=2x=180
y=180/4=45
x=180/2=90
So you do
distribute
a(b+c)=ab+ac
9(x+5)=9x+9 times 5=9x+45
7(x-3)=7x+7 times -3=7x-21
so now we have
9x+45+7x-21
group like terms
9x+7x+45-21
add
16x+24
simplified is 16x+24
