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V125BC [204]
3 years ago
5

How much money should be deposited today in an account that earns 8% compounded monthly so that it will accumulate to 13,000 tho

usand and three years? PLEASE HELP

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

  $10,234.31

Step-by-step explanation:

A suitable financial calculator or spreadsheet can evaluate the future value function for you. It will tell you that $10,234.31 must be deposited today to have $13,000 in three years, when interest is 8% compounded monthly.

__

You are solving for P:

  13000 = P(1 +0.08/12)^(12×3)

  P = 13000/(1 +0.08/12)^36 ≈ 10,234.31

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Michael went to dinner with his friend. Their total was $25.70. If they left a 20% tip, what was their total
lana66690 [7]

Answer: <em>$20.56</em>

Step-by-step explanation:

<em>Let's take our given total and use this equation</em>

<em>25.70(n)</em>

<em>n will equal 0.80 in this case, as they left a 20% tip so we need to find out what 80% of 25.70 is first</em>

<em />25.70(0.80)<em />

<em>$20.56 is the total without the tip!</em>

4 0
3 years ago
Energy released as a gas changes into a liquid is called what? (#9)
Zinaida [17]

Answer:

Energy will be released to change from liquid to solid (fusion), gas to liquid (condensation), or gas to solid. Latent heat of evaporation is the energy used to change liquid to vapor. IMPORTANT: The temperature does not change during this process, so heat added goes directly into changing the state of the substance

Step-by-step explanation:

4 0
3 years ago
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1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, \frac{spirit}{varnish}=\frac{25}{75}

                  =\frac{1}{3}

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let x be the quantity of total solution.

Then, 240:x=3:4.

⇒\frac{240}{x}=\frac{3}{4}

⇒3x=240*4

⇒x=\frac{240*4}{3}

⇒x=320

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒\frac{Height}{Width} =\frac{15}{10}

⇒\frac{Height}{Width} =\frac{3}{2}

Hence, the ratio of tapestries' heights to width is 3:2.

8 0
3 years ago
What is the difference between the product of four and a number and 6
Anuta_ua [19.1K]
4x-6

A product means you have to multiply so the product of four and a number is 4 times x so 4x
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3 0
3 years ago
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Last weekend nina mowed 4 lawns and received $60 this weekend she mowed 6 lawns and received $90 what is the constant of proport
frozen [14]

Answer: nina is getting $15 for 1 lawn.

Step-by-step explanation:

1      $15

2     $30

3     $45

4     $60

5 0
3 years ago
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