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MakcuM [25]
3 years ago
11

A phone company offers two monthly plans. Plan A costs $13 plus an additional $0.14 for each minute of calls. Plan B costs $24 p

lus an additional $0.10 for each minute of calls.
For what amount of calling do the two plans cost the same? Minutes

What is the cost when the two plans cost the same? $
Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

m = number of minutes calls

Plan A : 30 + 0.15 m

Plan B: 16 + 0.20 m

For what amount of calling do the two plans cost the same?

30 + 0.15m = 16 + 0.20m

0.05m = 14

m = 280

280 minutes of calling, the two plans cost the same

What is the cost when the two plans cost the same?

Plan A: 30 + 0.15 m = 30 + 0.15 (280)  = 72

Plan B: 16 + 0.20 m = 16 + 0.20 (280) = 72

It's cost $72 when the two plans cost the same

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What is the formula for mortgages?
professor190 [17]

Answer:

Loan payment = Loan amount / Discount factor

Number of Periodic Payments (n) = Payments per year times number of years. Periodic Interest Rate (i) = Annual rate divided by number of payments per. Discount Factor (D) = {[(1 + i) ^n] - 1} / [i(1 + i)^n]

Step-by-step explanation:

7 0
3 years ago
The right pengtagonal prism has a height of of 14 units.
bazaltina [42]

Answer:

30

Step-by-step explanation:

Perimiter is the length of each side added up.  We don't know the side lengths, but we can find it.

It tells us the volume and height, and we use the side lengths to find volume, so lets use that.  I'm not sure how you have learned how to find the area of a pentagon, but I am going to use the formula google shows.  I am going to use x for the side length

A = sqrt(25+10sqrt(5))x^2/4

Now, for any right prism you take the volume of you get the area of the base and multiply it by the height So we can work that out to find the sides.

A*h = V

(sqrt(25+10sqrt(5))x^2/4)*14 = 840

(sqrt(25+10sqrt(5))x^2/4) = 60 (Divide  both sides by 14)

sqrt(25+10sqrt(5))x^2 = 240 (Multiply both sides by 4)

x^2 = 34.874 (Divide both sides by sqrt(25+10sqrt(5))

x = 5.905 (square root of both sides)

Now we have the length of one side.  Since there are five sides we multiply that by 5.

5 * 5.905 = 29.525 So it rounds up to 30.

Let me know if there is something you did not understand.

6 0
3 years ago
Read 2 more answers
The difference of two numbers is 882. The smaller of the numbers is 225. What is the other number?
sweet-ann [11.9K]

Answer:

1,107

Step-by-step explanation:

  1. 882 + 225 = 1,107

I hope this helps!

4 0
3 years ago
Please help with this problem
Andre45 [30]

Answer:

The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.

Step-by-step explanation:

The Pythagorean Theorem

<em> If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. </em>

This relationship is represented by the formula:

                                                     a^2+b^2=c^2

Applying the Pythagorean Theorem  to find the lengths of the three sides we get:

(x)^2+(x+4)^2=(x+9)^2\\\\2x^2+8x+16=x^2+18x+81\\\\2x^2+8x-65=x^2+18x\\\\2x^2-10x-65=x^2\\\\x^2-10x-65=0

Solve with the quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-10,\:c=-65:\quad x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}\\\\x_{1}=\frac{-\left(-10\right)+ \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5+3\sqrt{10}\\\\x_{2}=\frac{-\left(-10\right)- \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5-3\sqrt{10}

Because a length can only be positive, the only solution is

x=5+3\sqrt{10}\approx 14.5

The length of the short side is 14.5, the length of the other short side is 14.5+4=18.5, and the length of the longest side is 14.5+9=23.5.

3 0
3 years ago
What is the least common multiple (LMC) of 8 and 12?
IRINA_888 [86]
Hey There!

If i am doing this the least common multiple can either be 
2 or 4.
thus being
2, 4, 6, 8, 10, 12
Or
4, 8, 12.

Hope This Helps!!!
3 0
4 years ago
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