Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
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Answer:
96
Step-by-step explanation:
It's x=-5. It is a vertical line, and vertical lines have a consistent x coordinate. Since it passes through (-5,0), you take the x-coordinate of this point.
Answer:
a = 1/8
b = 8
Step-by-step explanation:
a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8
b( 1/2 ) ^ -3 The negative exponent means 1 / (1/2)^3 = 1/ (1/8) = 8
if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.
so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.
so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.
or using a unit vector for those above, then
