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Snezhnost [94]
2 years ago
10

Eorge pays one-fifth of his salary in taxes. If his taxes amount to $217, what is his salary?

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
5 0
$1,085. Just multiply by 5
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How do you do markdowns and markups
uysha [10]
So the book guy mark downed the price of the books by 46%, also known as 0.46.  All decimals are less than 1.  So then, what you do is you take b, which is the variable defining the price of the book, then you multiply it by 0.46.  So the answer of b would be b x 0.46.  For C, you must do 29 x 0.54, and that will give you the answer for C.  Finally, in D, take the answer you got in C, and subtract that by 29.  This will give you your answer.
6 0
3 years ago
What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
ElenaW [278]
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
5 0
3 years ago
A new car is purchased for $49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 2
vovikov84 [41]

Principal: $49,000

Depreciation Rate: 50%

Depreciation Time: 5 years

Exponential Function: y = 49,000 (0.50)^x

Plug it in: y = 49,000 (0.50)^4

0.5^4= 0.0625

0.0625 x 49,000 = 3062.5

Value of Car after 20 years: 3062.5

Now, we need to find out how much the car decreases in ONE year.

Half of 3062.5 = 1531.25

1531.25/5 = 306.25

3062.5 - 306.25 = 2756.25

Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)

Hope this helps! Have a great day!

4 0
3 years ago
How many soulutions does the system of equations have x-3y=15. and 3x-9y=45
Irina-Kira [14]

Answer:

<h2>Infinitely many solutions</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}

\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}

5 0
3 years ago
What is the value of y for the parallelogram shown?
dybincka [34]
Opposite angles in a parallelogram have to be equal so

3y=66
y=22
3 0
3 years ago
Read 2 more answers
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