Answer:
The equation of line which is parallel to the given line is y = 3 x + k.
Step-by-step explanation:
The equation of the line is
y = 3 x - 8
Compare with the standard equation
y = mx + c
The slope of line is
m = 3
So, the line parallel to the given line is
y = 3 x + k
where, k is any real number.
Answer:
-25
Step-by-step explanation:
h(j) = -j^2-6j+2 Let j =3
h(3) = -3^2-6(3)+2
= -9 -18+2
= -27+2
= -25
Given that Kyle has received 900$ in cash as a gift and Kyle wants to invest that money in CD with 4% compound interest which is being compounded annually.
That means interest rate = 4% = 
in decimals.
Since interest is compounded annually, we have to use compound interest formula.
That is amount after time t is 
Where P- initial amount = 900
r= rate of interest in decimals = 0.04
n= number of times interest is compounded per year = 1
t= number of years the money is invested = 5
Hence A = 
= $1094.9876
So, at the end of five year period, Kyle will have 1094.9876$ to put down in his car.
Answer:
For a flag with 2 different colours, there are 8 possible colours for the first colour to be chosen from and 7 possible colours (excluding the first colour already chosen) for the second colour to be chosen from, given that colours are different. Hence there are a total of 8 x 7 = 56 possible flags to be created.
Step-by-step explanation:
Its an area equation. Area is length times width.
So to start, he needs 50x80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.
Now for the easy part. Take the 4000 and add 200. Answer? 4,200.
