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First, you divide 2042/5950 which is about 0.4036, then you move the decimal 2 spaces to the right which is about 40.4, which means that 40% of Tom's income is his mortgage, higher than the average
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }1600
a=starting value = 1600
r=\text{rate = }5.25\% = 0.0525
r=rate = 5.25%=0.0525
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.0525=1.0525
b=1+r=1+0.0525=1.0525
\text{Write Exponential Function:}
Write Exponential Function:
y=1600(1.0525)^x
y=1600(1.0525)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=1600(1.0525)^{25}
y=1600(1.0525)
25
y= 5750.0628984
y=5750.0628984
Evaluate
y\approx 5750.06
y≈5750.06
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing