Answer:
5000
Step-by-step explanation:
Given the question :
The size of debt after m months is respresented by the expression :
36,700 - (5000 + 500m)
Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.
Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,
Then the amount paid from his salary after a certain number of months will be:
Fixed amount × number of months = 500 × m
Amount paid using signing bonus will be a constant = 5000
Total debt amount = 36,700
Size of debt left after m months :
Total debt - ( signing bonus - fixed amount × m)
Hence signing bonus = 5000
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Years of experience (X) :
1
3
3
5
7
8
10
10
12
12
Annual sales (Y) :
85
97
95
97
105
106
122
120
113
134
The estimated regression equation obtained is :
y = b0 + b1x
b0 = 82.82967
b1 = 3.46061
ŷ = 3.46061X + 82.82967
The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)
The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).
The Coefficient of determination gives the proportion of explained variance.
About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.
Using the regression equation :
ŷ = 3.46061X + 82.82967
Years of experience, x = 8
ŷ = 3.46061(8) + 82.82967 = 110.514
111 = (to the nearest whole number)
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
<u>Step-by-step explanation:</u>
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
= 6
So, stated the above two are the mistakes found in carlos work.
Answer:
<em>75%</em>
Step-by-step explanation:
27 ÷ 36 = 0.75
0.75 → 75%
75% of the crew are men
Hope this helped! :)
1) Simplified: k-6
Excluded Value: k=-10
2) Simplified: 4/k-8
Excluded Values: k=-4, k=8, k=4
3) Simplified: 10/9m
Excluded Values: m=0, m=-3
4) Simplified: a-3
Excluded Values: a=1, a=2, a=6
5) Simplified: 3/4
Excluded Value: y= 0
6) Simplified: 4-3x/2x
Excluded Values: X=0
