The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
Answer:
2x^2+2x
Step-by-step explanation:
The large squares are x^2.
The rectangles are x
The small squares are 1
We have 2 large squares = 2x^2
and 2 rectangles = 2x
2x^2+2x
Answer:
False, False, True, False, True
Step-by-step explanation:
When you divide by a whole number, the answer always come out smaller
When you divide by a fraction, the answer always come out larger
Answer:
x = 1/4
Step-by-step explanation:
-7x - (-5-x) = -9(2x-1) -1
-7x + 5 + x = -18x + 9 - 1
combine like terms:
-6x + 5 = -18x + 8
add 18x to each side of the equation:
12x + 5 = 8
subtract 5 from each side:
12x = 3
divide both sides by 12:
x = 3/12 = 1/4
Answer:
The answer is 2
Step-by-step explanation:
Rate of change of function is given by :
For function y = 6,
rate of change =
because the function is independent of x.
For function y = 2·x + 7,
rate of change =
So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.
