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zheka24 [161]
3 years ago
15

Sarah bought her car for $17,440. it is expected to depreciate an average of 14% each year during the first 6 years. what will t

he approximate value of her car be in 6 years?
Mathematics
1 answer:
kozerog [31]3 years ago
8 0
Given that the value of the bought car depreciates by 14%, its value is only 86% of its value from the previous year. With the known equation,
                            V = P x (1-d)^n
Where V is the current value, P is the original value, d is the depreciation rate, and n is the number of years. Substituting,
                          V = ($17,440) x (1 - 0.14)^6
                              = $7055.65
Thus, after 6 years, the car would only be $7055.65. 
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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.
MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

7 0
3 years ago
Help me please I don't want to fail:)
AysviL [449]

Answer:

the answer is c.768

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Liam is making party favors. He has 7/8 pound of trail mix and wants to put 1/8 pound in each party favor. How many party favors
Gemiola [76]
Liam can make 7 party favors.
5 0
3 years ago
Quick question if I had a problem that was sin x = 18.9/20 =.945 how would I inverse sin of both sides ?
galben [10]

Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator.  If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first.  The attached image shows a TI-83 display.  To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!).  Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ

6 0
3 years ago
0.9 how far will he travels if the wheels on his unicycle completes 1,000 rotation
Semenov [28]
0.9/1000=0.0009
dont forget to eat your potato

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