The little lines on each side of the rhombus mean that all the sides are the same length.
We can set line LM and MN equal to solve for X, then we can solve the length of a side.
3x-3 = x+7
Add 3 to each side:
3x = x +10
Subtract x from each side:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
Now we have the value for x, replace x in one of the side formulas:
x +7 = 5+7 = 12
Each side = 12 units.
The perimeter would be 12 + 12 + 12 + 12 = 48 units.
It will take 54 days for Teri's account to earn an amount of $5000.
<h3>What is compound interest?</h3>
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.
It is given by formula
A = 
where:
A is final amount
p is principal amount
r is rate of interest and
t, is time period
Given: A= $5000, p=$1500, r=2.25% = 0.0225
To find: time period to get compounded amount
5000=1500×
= 
0.0225t = ㏑ (
)
t = 53.5099 ≈ 54 days
Learn more about compound interest here:
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Answer:
64%
Step-by-step explanation:
The percentage of variation in the dependent variable explained by the estimated regression is calculated with the coefficient of correlation as follows:
First, square the coefficient of correlation: 0.8^2 = 0.64
And then, multiply this result by 100, so that, it is expressed as a percentage: 0.64*100 = 64%