The cost per pound is
... $117.50/(50 pounds) = $2.35/pound
The average cost for a pound of pet food is $2.35.
_____
If the food only comes in 50 lb bags, your cost for one pound of it will be $117.50.
The answer is 1690. First find
the amount of interest by a single investment by multiplying the investment
amount by the percent interest in decimal form. Then calculate the total by
adding up all the products of investment times interest. Matrices will allow to
multiply two things together and add the products up all at the same time. So
we need to find the investment matrix and interest matrix.
Investment matrix A (transposed) = (a1 a2 a3) = (13,000 12,000 4,000)
Interest Matrix B = (b1
b2 b3) = (0.05 0.06 0.08)
Amount of interest earned = a1b1 + a2b2 + a3b3
Amount of interest earned = (0.05) (13,000) + (0.06)
(12,000) + (0.08)(4,000)
Amount of interest earned = 1690
Answer:
1399/200 699.5%
Step-by-step explanation:
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6