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antiseptic1488 [7]
3 years ago
12

Twin​ brothers, person A and person​ B, can mow their​ grandparent's lawn together in 40 minutes. Person A could mow the lawn by

himself in 18 minutes less time than it would take person B. How long would it take person B to mow the lawn by​ himself?
Mathematics
1 answer:
Alex3 years ago
3 0
22 minutes I believe
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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
Please help badly!!!!!!! I am failing and it is a very important test PLEASE PLEASE PLEASE
lakkis [162]
Circumference=2*pi*r or pi*d so if its 16pi you know that your diameter is 16 wich means your radius is 8 because d/2 is your radius. plug the 8 into the area formula wich gives you the formula pi*8^2. 8squared is 64. 64 times pi is 201. <span>or 64pi wich is the area of the same circle with the circumfernce of 16pi

</span>
8 0
3 years ago
Grant's credit card has an apr of 11.28% and it just changed its compounding period from monthly to daily . What happen to the i
madreJ [45]

Answer:

C. It will increase by about 0.6%

Step-by-step explanation:

Since, the effective interest rate is,

r=(1+\frac{i}{n} )^{n} -1

Where, i is the stated interest rate,

n is the number of compounding periods,

Here, i = 11.28 % = 0.1128,

n = 365  ( 1 year = 365 days ),

Hence, the effective interest rate would be,

r=(1+\frac{0.1128}{365})^{365}  -1

=0.119388521952

Now, the changes in effective interest rate = Effective interest rate - Stated interest rate

= 0.119388521952 - 0.1128

= 0.006588521952 ≈ 0.006 = 0.6 %  

Hence, It will increased by about 0.6 %,

Option A is correct.

Hope this helps :)

7 0
3 years ago
Georgia kassem installs fencing. she is paid $7.50 per hour for an 8-hour day and time and a half for overtime for any work over
Dominik [7]

Georgia worked overtime on 4 of the 5 days. Her total overtime hours were

... (12-8) +(9 -8) +(10 -8) +(10 -8) = 4 +1 +2 +2 = 9

Then her pay for the week is

... (hours) × (pay per hour)

... = ((7 + 4×8) +1.5×9) × $7.50

... = 52.5 × $7.50

... = $393.75 . . . . Georgia's gross pay for the week

_____

Pay for "time and a half" can be computed by multiplying pay by 1.5 for overtime hours, or multiplying overtime hours by 1.5 and using straight pay. Either way, it is (overtime hours)×(1.5)×(straight pay).

4 0
3 years ago
Read 2 more answers
Is the relationship between weight and the amount of medicine linear? Explain. (2 points) help!!!!
Svetach [21]

Answer: Each age is 12 more than the last so the rate of change would be twelve. Yes it is linear, every twelve pounds is 2.5 more millimeters of dosage.

8 0
2 years ago
Read 2 more answers
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