In one town, 79% of adults have health insurance. what is the probability that 4 adults selected at random from the town all hav
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The length of rectangle is 139 inches
Solution:
Given that, area of the rectangle is 3197 square inches
Let "L" be the length of rectangle and "W" be the width of rectangle
Also given that rectangle has the length of 22 inches less than 7 times the width
Length = 7 times width - 22
L = 7W - 22
<em><u>The area of rectangle is given as:</u></em>
Substituting the values we get,
On solving the above quadratic equation using quadratic formula,
Substituting in above quadratic formula,
Since width of rectangle cannot be negative, ignore negative value of "W"
So width W = 23 inches
Length L = 7W - 22 = 7(23) - 22 = 139 inches
Thus length of rectangle is 139 inches
Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,
It will reach $450 after t years, for which A(t) = 450, hence:
It will take about 2.9 years for Emma's balance to reach $450
Learn more about logarithm here
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