If something was $45 and it increased to $56, what is the percent change?

You deposit $2700 in an account that earns simple interest. After 12 months, the account earns $64.80 in interest, what is the a

Masja [62]

Answer:$4449.6.

Step-by-step explanation:

You deposit $2700 into a bank account paying 64.8% simple interest per year. You left the money in for 1 year. Find the interest earned and the amount at the end of those 1 year?

Result:

The interest is $1749.6 and the amount is $4449.6.

Explanation:

STEP 1: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $2700, i = 64.8% and t = 1 years, so

STEP 2: Find an amount by using the formula .A =P+I

Since P = $2700 and I = $1749.6 we have

5 0

3 years ago

A machine produces 576 units in 18 hours at this rate how many will it produce in 28 hours

olga2289 [7]

Answer: 896

Step-by-step explanation:

Let's use a rule of three here.

$\frac{576}{x}=\frac{18}{28}$

Solve for x;

$x=\frac{576*28}{18}$

$x=896$

4 0

3 years ago

5x 8 = 23 what is x in the equation

ivann1987 [24]

Hope this helps x= 23/40

6 0

3 years ago

*Asymptotes*<br> g(x) =2x+1/x-3 <br><br> Give the domain and x and y intercepts

Nataly [62]

Answer: Assuming the function is $g(x)=\frac{2x+1}{x-3}$ :

The x-intercept is $(\frac{-1}{2},0)$ .

The y-intercept is $(0,\frac{-1}{3})$ .

The horizontal asymptote is $y=2$ .

The vertical asymptote is $x=3$ .

Step-by-step explanation:

I'm going to assume the function is: $g(x)=\frac{2x+1}{x-3}$ and not $g(x)=2x+\frac{1}{x}-3$ .

So we are looking at $g(x)=\frac{2x+1}{x-3}$ .

The x-intercept is when y is 0 (when g(x) is 0).

Replace g(x) with 0.

$0=\frac{2x+1}{x-3}$

A fraction is only 0 when it's numerator is 0. You are really just solving:

$0=2x+1$

Subtract 1 on both sides:

$-1=2x$

Divide both sides by 2:

$\frac{-1}{2}=x$

The x-intercept is $(\frac{-1}{2},0)$ .

The y-intercept is when x is 0.

Replace x with 0.

$g(0)=\frac{2(0)+1}{0-3}$

$y=\frac{2(0)+1}{0-3}$

$y=\frac{0+1}{-3}$

$y=\frac{1}{-3}$

$y=-\frac{1}{3}$ .

The y-intercept is $(0,\frac{-1}{3})$ .

The vertical asymptote is when the denominator is 0 without making the top 0 also.

So the deliminator is 0 when x-3=0.

Solve x-3=0.

Add 3 on both sides:

x=3

Plugging 3 into the top gives 2(3)+1=6+1=7.

So we have a vertical asymptote at x=3.

Now let's look at the horizontal asymptote.

I could tell you if the degrees match that the horizontal asymptote is just the leading coefficient of the top over the leading coefficient of the bottom which means are horizontal asymptote is $y=\frac{2}{1}$ . After simplifying you could just say the horizontal asymptote is $y=2$ .

Or!

I could do some division to make it more clear. The way I'm going to do this certain division is rewriting the top in terms of (x-3).

$y=\frac{2x+1}{x-3}=\frac{2(x-3)+7}{x-3}=\frac{2(x-3)}{x-3}+\frac{7}{x-3}$

$y=2+\frac{7}{x-3}$

So you can think it like this what value will y never be here.

7/(x-3) will never be 0 because 7 will never be 0.

So y will never be 2+0=2.

The horizontal asymptote is y=2.

(Disclaimer: There are some functions that will cross over their horizontal asymptote early on.)

6 0

3 years ago

An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in

beks73 [17]

An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C.

To find the y intercept , we plug in 0 for t

y intercept is the value , where time is 0 minutes

so we plug in 0 for t and find out y(0)

y(t)=−14t+500

y(0)=−14(0)+500 = 500

When t=0 , the value of y = 500

So , y intercept is (0,500)

4 0

3 years ago