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zlopas [31]
3 years ago
11

An internet company charges a one-time setup fee of $44.99 and a monthly fee of $29.99 for Internet service. The company is offe

ring a 25% discount on the monthly fee for the first year.
Part A:Write an expression to determine the cost, after the discount and before tax, of m months of service during the first year. (remember that an expression is just like an inequality except there is equal sign than a less than or greater than sign and plz show work)

Part B:An 8% sales tax is added to the total cost. Rewrite the expression in Part A to include the sales tax.

Part C:What is the total amount a customer will pay, to the nearest cent, including tax, for the first 4 months of Internet service with the Internet company? (try to explain a little for these questions if u can)
Mathematics
1 answer:
ella [17]3 years ago
8 0
Part A: x=22.49m+49.99<span>

Part B: </span>x=1.08(22.49m+49.99)

Part C: x=1.08(22.49(4)+49.99)
x=1.08(89.96+49.99)
x=1.08(139.95)
x=$151.15
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I’ll give brainliest to whoever can do this
tino4ka555 [31]

i forgot hiw to do that

Step-by-step explanation:

8 0
3 years ago
7,24,25. 7 , 23,24 7, 25,26 <br> Which of the following will form a right triangle
Andru [333]
We know that
In <span>a right triangle
c</span>²=a²+b²
where
a and b are the legs of triangle 
c is the hypotenuse of the triangle
so

case 1)7,24,25
25²=7²+24²
25²-----> 625
7²+24²----> 625
625 is equal to 625----------> <span>form a right triangle
</span>
case 2) 7,23,24
24²=7²+23²
24²------> 576
7²+23²-----> 578
576 is not 578-------------> not form a right triangle

case 3) 7,25,26
26²=7²+25²
26²-----> 676
7²+25²-----> 674
676 is not 674----->  not form a right triangle

the answer is
7,24,25 form a right triangle



8 0
3 years ago
If the level of significance (alpha) is 0.05, it means that the probability of rejecting the null hypothesis, when it is false,
Kaylis [27]

Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.

Step-by-step explanation:

We know that the level of significance ( denoted as \alpha ) is generally the probability of rejecting the null hypothesis when it is true.

Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.

i.e. The probability of rejecting the null hypothesis when it is true= 0.05

In percent : 0.05=5\%

Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.

4 0
3 years ago
SOMEONE HELP MEEEEEE 75 POINTS TO THE PERSON THAT HELPS
Tresset [83]

Answer:

Part 1) 9x-7y=-25

Part 2) 2x-y=2

Part 3) x+8y=22  

Part 4) x+8y=35

Part 5) 3x-4y=2

Part 6) 10x+6y=39

Part 7) x-5y=-6

Part 8)

case A) The equation of the diagonal AC is x+y=0

case B) The equation of the diagonal BD is x-y=0

Step-by-step explanation:

Part 1)

step 1

Find the midpoint

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{2-6}{2},\frac{-3+5}{2})

M=(-2,1)

step 2

The equation of the line into point slope form is equal to

y-1=\frac{9}{7}(x+2)\\ \\y=\frac{9}{7}x+\frac{18}{7}+1\\ \\y=\frac{9}{7}x+\frac{25}{7}

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=\frac{9}{7}x+\frac{25}{7}

Multiply by 7 both sides

7y=9x+25

9x-7y=-25

Part 2)

step 1

Find the midpoint

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{1+5}{2},\frac{0-2}{2})

M=(3,-1)

step 2

Find the slope

The slope between two points is equal to

m=\frac{-2-0}{5-1}=-\frac{1}{2}

step 3

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

Find the slope of the line perpendicular to the segment joining the given points

m1=-\frac{1}{2}

m1*m2=-1

therefore

m2=2

step 4

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=2 and point (1,0)

y-0=2(x-1)\\ \\y=2x-2

step 5

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=2x-2

2x-y=2

Part 3)

In this problem AB and BC are the legs of the right triangle (plot the figure)

step 1

Find the midpoint AB

M1=(\frac{-5+1}{2},\frac{5+1}{2})

M1=(-2,3)

step 2

Find the midpoint BC

M2=(\frac{1+3}{2},\frac{1+4}{2})

M2=(2,2.5)

step 3

Find the slope M1M2

The slope between two points is equal to

m=\frac{2.5-3}{2+2}=-\frac{1}{8}

step 4

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{1}{8} and point (-2,3)

y-3=-\frac{1}{8}(x+2)\\ \\y=-\frac{1}{8}x-\frac{1}{4}+3\\ \\y=-\frac{1}{8}x+\frac{11}{4}

step 5

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=-\frac{1}{8}x+\frac{11}{4}

Multiply by 8 both sides

8y=-x+22

x+8y=22  

Part 4)

In this problem the hypotenuse is AC (plot the figure)

step 1

Find the slope AC

The slope between two points is equal to

m=\frac{4-5}{3+5}=-\frac{1}{8}

step 2

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{1}{8} and point (3,4)

y-4=-\frac{1}{8}(x-3)

y=-\frac{1}{8}x+\frac{3}{8}+4

y=-\frac{1}{8}x+\frac{35}{8}

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=-\frac{1}{8}x+\frac{35}{8}

Multiply by 8 both sides

8y=-x+35

x+8y=35

Part 5)  

The longer diagonal is the segment BD (plot the figure)  

step 1

Find the slope BD

The slope between two points is equal to

m=\frac{4+2}{6+2}=\frac{3}{4}

step 2

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=\frac{3}{4} and point (-2,-2)

y+2=\frac{3}{4}(x+2)

y=\frac{3}{4}x+\frac{6}{4}-2

y=\frac{3}{4}x-\frac{2}{4}

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=\frac{3}{4}x-\frac{2}{4}

Multiply by 4 both sides

4y=3x-2

3x-4y=2

Note The complete answers in the attached file

Download docx
3 0
3 years ago
Solve for k for the equation h+p=3(k-8)
astraxan [27]

Answer:

h/3 + p/3 + 8 = k

Step-by-step explanation:

h+p=3(k-8)

h+p=3k-24

h+p+24=3k

h/3 + p/3 + 8 = k

8 0
3 years ago
Read 2 more answers
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