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navik [9.2K]
3 years ago
6

URGENT WILL MARK BRAINLIEST

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

1. Equation: P=90N+2,100

2. Total pay if Henry sells 27 copies: 4,530\$

Step-by-step explanation:

1. The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

According to the information given in the exercise, his base salary is $2,100. So you can identify that:

b=2,100

Since he makes an additional of $90 for every copy of he sells, you can identify that:

m=90

Therefore, the equation that represents this situation is:

P=90N+2,100

2. If he sells 27 copies, then:

N=27

Substituting this value into the equation, you get that his total pay would be:

P=90(27)+2,100\\\\P=4,530

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Find the sum. <br> Homework: 9.4 arithmetic series
RUDIKE [14]

Answer:

Step-by-step explanation:

a1 = 3(1) - 7 = - 4

a2 = 3(2) - 7 = -1

d = a2 - a1

d = -1 - (-4)

d = -1 + 4

d = 3

a60 = 3(60) - 7

a60 = 180 - 7

a60 = 173

n = 60

Sum = (a1 + a60) * n / 2

Sum = (-4 + 173) * 60/2

Sum = (169)*30

Sum = 5070

==================

Just to check, we'll use the second summation formula

d = 3

n = 60

a1 = -4

Sum = (2*a1 + (n - 1)*d )*n / 2

Sum = (2*(-4) + (60 -1)*3)* 60/2

Sum = (-8 + 59*3) * 30

Sum = (177 - 8)*30

Sum = 169 * 30

Sum = 5070

Same answer.

5 0
3 years ago
Dennis and Connie purchased a radio for $128. Dennis paid $36 more than Connie. How much did each pay?
never [62]

Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

2c + 36 - 36 = 128 - 36

2c = 92

Divide each side by two,

2c/2 = 92/2

c = 46

Now, to make sure this is correct, let's substitute our c for 46 in our equation:

46 + 46 + 36 = 128

92 + 36 = 128

128 = 128

Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.

6 0
3 years ago
All sides of AABC are tangent to circle P.
Oliga [24]

Answer:

Step-by-step explanation:

The perimeter is 58 units long

3 0
3 years ago
What are convex polygnos
Archy [21]

Answer:

Step-by-step explanation:

Polygons (shapes made of straight lines) where no angle is greater than 180 degrees.  If even one angle is greater than 180 then it is a concave polygon.

5 0
3 years ago
What are the coordinates of D’ when the quadrilateral is reflected across the line y = x? On a coordinate plane, quadrilateral A
natita [175]

Answer:

D' (1, 3)

Step-by-step explanation:

When reflected across the y = x line, the "x" and "y" coordinates switch.

If D is (3, 1), then:

x = 3

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Switch the "x" and "y" values, and rewrite as (x, y).

x = 1

y = 3

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7 0
3 years ago
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