Answer:
Compound Interest Formula Solved For Rate:
log (1 + rate) = {log(total) -log(Principal)} ÷ Years
log (1 + rate) = {log(5,800) -log(5,000)} ÷ 5
log (1 + rate) = [3.7634279936 -3.6989700043] / 5
log (1 + rate) = 0.0644579893 / 5
log (1 + rate) = 0.0128915979
Then we raise 10 to the power of 0.0128915979 which equals
1.0301289629 = 1 + rate
Therefore, rate = .0301289629 and we multiply by 100 to make a percentage:
3.01289629 %
Source: https://1728.org/compint2.htm
https://1728.org/compint.htm
Step-by-step explanation:
Area of wooden support is 36 square inches
<em><u>Solution:</u></em>
Given that, carpenter cut out a small trapezoid as a wooden support for the front step
<em><u>The area of trapezoid is given as:</u></em>
Where, "h" is the height
"a" and 'b" are the length of base
Here given that,
Height = h = 4 inches
a = 6 inches
b = 12 inches
Substituting the values we get,
Thus area of wooden support is 36 square inches
Answer:
A. -1/5
B. 8 gallons
C. 75 miles driven
Step-by-step explanation:
Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.
Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.
Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.