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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The missing value x=3 is obtained by the concept of slope in coordinate geometry.
<h3>What is slope?</h3>
Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.
Formula of slope = 
(equation 1)
According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10
Given, rate of change=4 (here rate of change=slope)
Putting all coordinates in equation 1
Slope= 
4=4/x-2
x-2=1
x=3
Therefore, the missing value x=3
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The applications that will involve percentages include:
- Sales Tax
- Original Sale Price
- Commission
- Income Tax
<h3>Which applications involve percentages?</h3>
Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.
Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.
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Answer:
The answer is (D) the starting temperature was 82 degrees F and dropped at a rate of 8 degrees per hour.
Step-by-step explanation:
For every 2 hours the temperature drops 8 degrees.
hope it helps
Answer:
five-eighths of a dollar is more than four-ninths of a dollar
Step-by-step explanation:
If you convert the fractions into decimals:
5/8 = 0.625
4/9 = 0.44444444444...
0.625 is closer to 1 than 0.44444444444...
Hope that helped!
