Please help me out answer quick

When is taking a zero percent APR option more beneficial than a large rebate?

Aleks [24]

When you take out a long term loan say 15-30 years.

6 0

3 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

3 years ago

The amount Lin's sister earns at her part-time job is proportional to the number

jarptica [38.1K]

the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

<u>Step-by-step explanation:</u>

Here we have , The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. We need to find an equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.Is y a function of x . Also , Write an equation describing x as a function of y . Let's find out:

Here , Lin's sister earns $9.60 per hour . Let x represents the hours she works and y represents the dollars she earns . So , According to question following is the equation framed in the form of y=kx :

⇒ $y = 9.6(x)$

Yes, y is a function of x , as a straight line with a slope of 9.6

Now , x as a function of y :

⇒ $\frac{y}{ 9.6}=(x)$

⇒ $x=\frac{1}{ 9.6}(y)$

Therefore , the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

3 0

3 years ago

Sweet t purchased a new pair of jeans to wear at the battle of the bands on sale at 40% off.He saved $20 what was his regular pr

Oliga [24]

If he got the jeans for 40% off he paid 60% of the cost for the jeans. With that you can setup an equation.

20 is 60% of what number

is signifies equals and of signifies multiplication

20 = 0.6*x
x = 20/.6
x = 33.33

The regular price of the jeans is $33.33

8 0

3 years ago

if log 2 = ( 0.3010 ), Log 3 = ( 0.4771 ) and Log 5 = ( 0.6990 ) then find the value of the following: Log 24... The answer is (

tekilochka [14]

Answer: 1. 3801

Step-by-step explanation:

Log 24 = Log(8x3)

From the laws of Logarithm

Log ( a xb) = Log a + Log b

so, Log (8x3) = Log8 + Log 3

Also Log 8 can be written as Log $2^{3}$ since $2^{3}$ is still 8 , so the expression becomes

Log $2^{3}$ + Log 3

⇒ 3 Log 2 + Log 3

since the value of Log 2 and Log 3 has been given , substitute into the expression , we have

3 (0.3010) + 0.4771

= 0.903 + 0.4771

= 1.3801

4 0

2 years ago