Distributive property is
a(b+c)=ab+ac so
first, distribute
remember than (-) times (-)=(+)
-5(3x-8)=(-5)(3x)+(-5)(-8)=-15x+(+40)=-15x+40
so it is -15x+40=-45
the answe ris B
Answer:
$18,087.23
Step-by-step explanation:
The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:
FV=PV*(1+r/2)^n*2
FV is the worth of the loan in 7 years which is unknown
PV is the actual amount of loan which is $8,000
r is the rate of interest of 12%
n is the number of years of the loan which is 7 years
the 2 is to show that interest is computed twice a year
FV=8000*(1+12%/2)^7*2
FV=8000*(1+6%)^14
FV=8000*1.06^14=$18,087.23
Answer:
d) intersecting, but not perpendicular lines
Step-by-step explanation:
Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.
The two lines are intersecting, but not perpendicular.
Answer:
6 eggs
Step-by-step explanation:
48 (total eggs) divided by 8 (total hens) = 6 eggs for each hen
Amount in compound interest = p(1 + r/t)^nt where p is the initial
deposit, r = rate, t = number of compunding in a period and n = period.
Here,
Amount after t years = 103(1.02)^t
i.e. 1 + r = 1.02
r = 1.02 - 1 = 0.02
Therefore, annual interest rate = 0.02 x 100 = 2%
