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tiny-mole [99]
3 years ago
14

Mr. Rosenthal purchased dining room furniture on a no-interest, 24 months to- pay sale. The total cost of the furniture was $1,8

92 including sales tax. He planned to make a deposit of $350 and used 1,892= 350+ 24x to determine the amount of each monthly payment,x. How much should Mr.Rosenthal pay each month? Show your work
Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0
MR.Rosenthal will pay $64.25 montly.  IM 100% sure
svlad2 [7]3 years ago
5 0
He should pay $64.25 each month. 

First you would subtract 350 from 1,892, to get 1,542.

Then you divide 1,542 by 24 to get the answer.

$64.25 monthly payments.


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The rabbit population in a certain area is 200% of last years population there are 900 rabbits this year how many were there las
Liula [17]
This year there are 900 rabbits which represents 200% of last year's population, means that last year the number of rabbits was:
 x = 900 (100/200) = 450 rabbits.
 The mathematical expression can be derived by a simple rule of three.
 So, for last year the population was 450 rabbits.
3 0
3 years ago
The length of a picture is 15.75 inches shorter than twice the width. If the perimeter of the picture is 106.5 inches, find its
Vladimir79 [104]

Answer:

Length = 45.37 in

Width = 30.56 in

Step-by-step explanation:

Let the width of the picture be 'w' inches.

Given:

Perimeter of the picture is, P=106.5\ in

Length is 15.75 inches shorter than twice the width. So, length is:

l=2w-15.75

Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:

P=2l+2w

Plug in the values of 'l' and 'P' and solve for 'w'. This gives,

106.5=2w-15.75+2w\\106.5=4w-15.75\\106.5+15.75=4w\\4w=122.25\\w=\frac{122.25}{4}=30.56\ in

Therefore, the width of the rectangular picture is 30.56 inches.

Length of the picture is, l=2(30.56)-15.75=61.12-15.75=45.37\ in

So, length of the picture is 45.37 inches and width is 30.56 inches.

3 0
3 years ago
Xy′ = √(1 − y2 ), y(1) = 0
tigry1 [53]

Answer:

y=sin(ln(x))

Step-by-step explanation:

First, we have to order the terms as follows and express y' as dy / dx:

x*\frac{dy}{dx} =\sqrt{(1-y^{2} )} \\\frac{x}{dx}=\frac{dy}\sqrt{(1-y^{2} )}}\\\frac{dx}{x}=\frac{dy}{\sqrt{(1-y^{2} )} }

Then, we have to integrate

\int{\frac{dx}{x}=\int{\frac{dy}{\sqrt{(1-y^{2} )} }

with this solution after integration:

ln(x)+C1=arcsin(y)+C2

Then, we have to reorder

arcsin(y)=ln(x)+C

and applied Sin function on both sides

sin(arcsin(y))=sin(ln(x)+C)\\y=sin(ln(x)+C)

To define the value of C, we use the known point y(1)=0 and replace in the equation

y=sin(ln(x)+C)\\0=sin(ln(1)+C)\\0=sin(0+C)\\0=sin(C)\\C=arcsin(0)\\C=0

The function that proves that differential equation is

y=sin(ln(x))

6 0
3 years ago
What are the next two terms in the sequence?
frez [133]
26, 37. Add by odds like 1,3,5,7,9,11
3 0
3 years ago
At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument
Vlad1618 [11]

Answer:

61 students

Step-by-step explanation:

When finding the percentage of a number, you can simply cross multiply and divide:

we can remove the percentage symbol…

20*305=\\ 6100

Now 6100 divided by 100 is:

61

hope this helps!

8 0
3 years ago
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