Answer:
$13,200
Step-by-step explanation:
You need to use the simple interest formula
I = P * r * t
I = Interest accrued
P = Principal amount invested
r = Interest rate you need to divide by 100 to get it in decimal form
t = time, in years if you are given a partial year, divide the months by 12
P = $12,000
r = 7.5% = .075
t = 1
But, because we want I to equal $990 then I is
I = $990
So we ignore our P and instead solve for the P that will give us the desired result.
I = P * r * t
$990 = P * .075 * 1
$990 = P.075 Divide each side by .075
$990/.075 = P.075/.075
$990/.075 = P
$13,200 = P
So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.
Set up an equation 20=k(0.4)....to find k divide 20 by 0.4
Answer:
<em>P'(3,-7) Q'(7,6) R'(-8,-7).</em>
Step-by-step explanation:
<u>Reflection across the x-axis</u>
Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.
We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:
P'(3,-7) Q'(7,6) R'(-8,-7).
The new triangle has vertices P'Q'R'.