The area of the countertop is (16-ft x 3-ft) = 48 feet² .
1 foot = 0.3048 meter (rounded)
(1 foot)² = (0.3048 meter)² = 0.0929 meter²
48 feet² = (48 x 0.0929) = 4.459 meter² (rounded)
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Answer:
A(x) = 20000(0.88)^x
Step-by-step explanation:
The general form of these exponential equations is ...
A(x) = a·b^x
where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.
The growth factor is ...
growth factor = 1 + growth rate
Here, the growth rate per year is -12%, so the growth factor is ...
b = 1 -12% = 88% = 0.88
Of course, the initial value is a=20,000, so the equation is ...
A(x) = 20000(0.88)^x
Answer:
x = 9/11
Step-by-step explanation:
x + 5 = 12x - 4
Subtract x from both sides
x + 5 - x = 12x - x - 4
5 = 11x - 4
Add 4 to both sides
5+ 4 = 11x - 4 + 4
9 = 11x
Divide both sides by 11
9/11 = 11x/11
9/11 = x
x = 9/11
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Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
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Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
