Heather invested $2,200 at 9% and invested $3,700 at 4%
What represents the amount invested in each asset?
The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:
Interest 9%=x*9%
interest at 9%=0.09x
Interest at 4%=(5900-x)*4%
interest at 4%=236-0.04x
Total interest=0.09x+236-0.04x
total interest=0.05x+236
Total interest earned=346
346=0.05x+236
346-236=0.05x
110=0.05x
x=110/0.05
x=$2,200(invested at 9%)
amount invested at 4%=5900-2200
amount invested at 4%=$3,700
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Answer:
450
Step-by-step explanation:
Multiply the length (30) by the width (15)
30x15=450
Answer:
A, y + 3 = 2(x + 2)
Step-by-step explanation:
Point slope form is y -y1 = m(x - x1)
To find the equation for this line, plug in y1, m, and x into the equation.
m = 2
y1 = -3
x1 = -2
y - -3 = 2(x - -2)
Since subtracting a negative changes the sign to a positive, the equation becomes:
y + 3 = 2(x + 2)
This is option A.
The answer is 12 divide 168 by 14 to get 12.
Sine (theta) = 5 / hypotenuse
We do not know the hypotenuse length, so let's use the tangent function.
tan (theta) = 5/7
arc tan (5/7) = 35.538 Degrees
