Answer:
C.
Step-by-step explanation:
(6^7)^3 means (6^7)(6^7)(6^7).
When multiply numbers with same base, add the exponents.
6^(7+7+7)=6^(3*7)=6^(21).
In the beginning you could have just multiply 7 and 3 so the answer is 6^(21).
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
;
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
2.8 or if rounded to the nearest tenth so 2.8√8
Slope is rise/run
so, you go up 4 times and run across 3 times, this is a positive slope, so the slope is
slope: 4/3
the y-intercept is the line that passes the y-axis, (0, -5),
y-intercept: -5
put it together
4/3x-5
The applicable formula is
I = Prt
where P = the principal value (12109), r is the interest rate (0.045), and t is the time period in years (1/2)
a) Substituting the given values, the interest amount is computed as
I = ($12,109)(.0.45)(1/2)
I = $272.45
b) The amount Sophia will have to pay back is the sum of the principal amount and the interest owed.
$12,109 + 272.45 = $12,381.45