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2 years ago

10. A furniture company allows customers to purchase household furnishings with an in-store loan,

Mathematics

1 answer:

ivanzaharov [21]2 years ago

7 0

Answer:

a) Cost of rent to own option is = ($156.99/month) ( 2 yrs)( 12 month/yr) = $3767.76

b) The amount of the finance charge is = $3767.76 - $3225.00 = $542.76

c) the simple interest rate can be calculated by this formula

I = Prt, where

I = total interest value = $542.76

P = is the present worth or original cost including taxes = $3225.00

t = time in yrs = 2

r = Yearly interest rate, By rearranging the formula:

r = I /Pt, r = ( $542.76 / $3225.00 . 2) ( 100) = 8.415%

Step-by-step explanation:

You might be interested in

Ep-43 what does the letter "b" on a b-1 fire extinguisher indicate??

hram777 [196]

Answer:

The letter "b" indicates it is effective against flammable liquid fires.

Step-by-step explanation:

The letters on fire extinguishers represents the class of fire for which they can be used.

The letter "b" here indicate the b-1 extinguisher is effective against flammable liquid fires. These can be fires where cooking liquid , oil , gasoline , kerosene or paint.

3 0

3 years ago

Read 2 more answers

From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 27 kilom

galben [10]

Answer: the eastbound train had travelled 12 miles
Explanation: using Pythagoras theorem, we know that
X^2 = a^2 + b^2
Where ^ stands for raised to power.
Let
a stand for the train going towards North and
b stands for the train going towards east.
X stands for the total distance between train a and b = 20 miles.
By Pythagoras rule
X^2 = a^2 + b^2
20^2 = 16^2 + b^2
400 = 256 + b^2 so that
b^2 = 400 - 256 = 144
b = √144
b = 12 miles.

6 0

3 years ago

2x-1=3/4x+9<br> Help Me Brainilist to whoever explains the best

alexdok [17]

Answer:

x=8

Step-by-step explanation:

normally it would be 2x-1= $\frac{3}{4}$ x+9 so now we have to combine the x into one fraction which will be 2x-1= $\frac{3x}{4}$ +9 now for my way i will be taking the -1 to the other side and when that happens its going to become positive so now the answer will be 2x= $\frac{3x}{4}$ +10 ok so now we have to have the x's to the same side so i have to drag the fraction to the other side and making it positive which will conclude into 1.25x=10 and now 10 divided by 1.25 is 8 so the answer is x=8 (sorry for the ok nows) hope this helped

5 0

3 years ago

Read 2 more answers

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

3 years ago

Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared .

MatroZZZ [7]

Answer:

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1. $\frac{dy}{dx} = 2x\sqrt{1-y^2}$

separation of variables

$\frac{dy}{\sqrt{1-y^2} } = 2xdx$

integration both sides $\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx$

you should get :

$sin^{-1} (y) = x^2+C$ remember constant of integration!!

2. y = sin(x²+C)

3 = sin(0+C)

y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range

4 0

3 years ago