<u>Answer-</u>
<em>Cooper will receive </em><em>$12.00</em><em> at the end of the month.</em>
<u>Solution-</u>
Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.
So the total principal becomes 1500+500 = $2000
Given here,
APR = annual percentage rate = 7.2%
But as we have to calculate the monthly interest, so monthly interest rate would be 
Time period = 1 month
So, the interest after 1 month will be,
Therefore, Cooper will receive $12.00 at the end of the month.
Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
Answer:
d
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition y = 
when x = 
, then
= k( )² = 
k ( multiply both sides by 8 )
1 = 2k ( divide both sides by 2 )
k =
y = x² ← equation of proportion
When y = 
, then
= x² ( multiply both sides by 2 )
9 = x² ( take the square root of both sides )
x = ± 
= ± 3
with positive value x = 3 → d
Answer:
Alternate Interior Angles
Step-by-step explanation:
Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.
Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.
Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.
Therefore, we are left with Alternate Interior Angles.
Answer:
- strong negative linear correlation
- -0.986
Step-by-step explanation:
You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.
The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.
The strong negative correlation number available to you is -0.986.
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If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.
