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Levart [38]
3 years ago
9

Brandy is trying to decide between two cell phones. One is free with the two-year contract but she will have to pay the sales ta

x of 8% on the original price of $399 and the monthly charge is $10 more then she currently pays. The other is on sale for $199 plus a percent sales tax. The monthly charge is the same as she currently pays. Over the two year contract period which phone will be the lower cost and by how much?
Mathematics
1 answer:
scoray [572]3 years ago
4 0
First phone
8% of 399 +10 per month for 2 years
=(8•399)/100+ 10• 24= 31.92+240=271.92
Second phone
$199+ 8% of 199=199+ (8•199)/100 =199+15.92 = 214.92

271.92 > 214.92
Phone 2 is better
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Consider △RST and △RYX. If the triangles are similar, which must be true? A. RY/YS=RX/XT=XY/TS B.RY/RS=RX/RT=XY/TS C.RY/RS=RX/RT
trasher [3.6K]

Answer:

B.RY/RS=RX/RT=XY/TS

Step-by-step explanation:

If Triangles RST and RYX are similar, then the ratio of their corresponding sides is:

\dfrac{RS}{RY}= \dfrac{ST}{YX}=\dfrac{RT}{RX}\\$This could also be written by switching the numerator and denominators as:\\\dfrac{RY}{RS}= \dfrac{XY}{TS}=\dfrac{RX}{RT}

Out of the given options, Option B is true.

3 0
3 years ago
Which of the following is an expression? *
Yanka [14]

Answer:

3m

Step-by-step explanation:

An expression does not have an equals sign

An equation has an equals sign

4x = 12   equation

25 - 12 = 13   equation

7x - 3 + 2y =29   equation

3m  expression

4 0
3 years ago
The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil
katovenus [111]

Answer:

  • <u>The rate of return is 8.15%</u>
  • <u>This is a good investment</u>

<u></u>

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

      Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]

In your problem you know:

  • Present value: $100,000
  • payment: $15,000
  • r: ?
  • t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

       \$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0
3 years ago
Based on the population graphs of Moreland and Larry, which statement is most accurate
LUCKY_DIMON [66]
I’m sry I need just a little bit more info for the
Answer plzzz
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3 years ago
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In-s [12.5K]

Answer:

136°

Step-by-step explanation:

Vertically opposite angles are always equal.

The opposite angle to x is 136°.

Both angles are vertically opposite angles, so they are equal.

5 0
3 years ago
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