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aleksklad [387]
3 years ago
11

Three hundred ninety six divided by twenty four

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
Three hundred ninety six divided by twenty four = 16.5
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The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x , where x is his monthly income. f^-1x . The
Katena32 [7]
<span>1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most 

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

 </span>f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)<span>


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

</span>y=15,000+1.5x
<span>
1.5x = y-15,000


</span>x= \frac{y-15,000}{1.5}
<span>
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:

</span>x=g(y)=\frac{y-15,000}{1.5}

since we generally use the letter x for the variable of a function, we write g again as:

g(x)=\frac{x-15,000}{1.5}
<span>
for example :

</span>g(50,000)=\frac{50,000-15,000}{1.5}= \frac{35,000}{1.5}= 23,333
<span>
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is 

</span>g(60,000)=\frac{60,000-15,000}{1.5}= \frac{45,000}{1.5}=30,000<span>
 dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation </span>f ^{-1}(x)<span>



</span>
6 0
2 years ago
Find the area of a kites with diagonals 6.5in and 10in.<br> I need work shown plz help!!!!!
mihalych1998 [28]
The area of a kite is:

A=(d1*d2)/2, where d1 and d2 are the two diagonals

In this case:

A=6.5*10/2

A=32.5 in^2


8 0
3 years ago
A part-time landscaper made $8996.32 last year. if she claimed herself as an exemption for $3650 and had a $5700 standard deduct
Andrej [43]

Answer:

$0

Step-by-step explanation:

A part-time landscaper made $8996.32 last year.

She claimed herself as an exemption for $3650 and had a $5700 standard deduction

Exemption means not subject to taxation.

Deduction means taking some amount of your income for the year, and not have to pay taxes on it.

So, 8996.32-(3650+5700)

=-353.68

Since Her income is lower than the exemption and the standard deduction.

So, her taxable income last year was $0.

Thus Option D is correct.

7 0
3 years ago
Read 2 more answers
Real answers only pls! no links either!
MaRussiya [10]

Answer:

A. 4/8 + 2/4 =1 B.5/8 + 1/4 =0.875

C.6/8 + 3/4 =1.5 D.7/8 + 2/4 =1.375

3 0
2 years ago
Find the volume of this cylinder.<br> Give your answer to 1 decimal place.<br> 9 cm<br> 20 cm
7nadin3 [17]
If 9 is the radius and 20 is the height then it would be 5089.4 cm^3
7 0
3 years ago
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