Answer:
Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees
Step-by-step explanation:
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Answer:
The linear relationship ( the linear equation ):
y = m x + b ( the slope-intercept form )
m = ( 50.75 - 42.25 ) / ( 5 - 3 ) = 8.50 / 2 = 4.25 ( the slope )
42.25 = 4.25 * 3 + b
b = 42.25 - 12.75
b = 29.50
y = 4.25 * x + 29.50
Answer:
The initial value is : ( 0, 29.50 ) or 29.50.
Answer:
See explaination
Step-by-step explanation:
We can define standard deviation in statistics as a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
See attachment for the step by step solution
Answer:
<em>$7,196.42 </em>
Step-by-step explanation:
Using the compound interest formula to fins the amount after 10years;
A = P(1+r)^n
Principal P = $400,000
Rate r = 8% = 0.08
Time t = 10 years
Substitute
A = 400,000(1+0.08)^10
A = 400,000(1.08)^10
A = 400,000(2.1589)
A = 863,569.99
A ≈ 863,570
Hence the amount after 10 years is $863,570
Monthly deposit = $863,570/120 (10 years is equivalent to 120months)
Monthly deposit = 7,196.42
<em>Therefore he will have to deposit $7,196.42 into his account monthly</em>
The range of the function is 
Explanation:
The function is 
The domain of the function is 
We need to find the range of the function.
The range can be determined by substituting the values of domain in the function.
Thus, the range of the function when the domain is -3 is given by



Thus, the range is -19 when 
The range of the function when the domain is 0 is given by



Thus, the range is -4 when 
The range of the function when the domain is 4 is given by



Thus, the range is 16 when 
Thus, the range of the function is
when their corresponding domain is 
Arranging the range in order from least to greatest is given by

Hence, the range of the function is 