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Sergio [31]
2 years ago
13

Zachary purchased a computer for $1,500 on a payment plan. Four months after he purchased the computer, his balance was $960. Si

x months after he purchased
the computer, his balance was $690. What is an equation that models the balance y after x months?
The equation hh models the balance y after x months
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Mathematics
1 answer:
ruslelena [56]2 years ago
4 0

Answer:

y=-135x+1500

Step-by-step explanation:

first you see that the starting point of the equation in $1500( y-axis) which would be the b part of the equation

Next you would take (4,960) which is at 4 months he had $960 left and (6,690) where at 6 months he had $690 left.

You would do change of y over change of x to get -135 as your slope

then you would plug in the finial equation y= -135x(slope)+ 1500( your starting point)

You might be interested in
A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% percent are yellow. Of the remaining key ch
Ulleksa [173]
Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering this question, and will be teaching you how to handle it on your own in the future.

We have 350 total keychains, in which 10% are yellow, 3/5 are green, and x are red. We will be solving for red, but we need to subtract 10% and 3/5 from 350.

So, let's find out how much 10% of 350 is.
Since 10% is equivalent to 1/10, we can divide 350 by 10 to find how many yellow key chains there are.
350 / 10 = 35.
There are 35 yellow key chains. We can subtract this from 350 to narrow it down.
350 - 35 = 315.

Now, let's find how much 3/5 of 350 is, and subtract it from our new number (315).

Divide 350 by 5, and then multiply that quotient by 3.
350 / 5 = 70.
70 x 3 = 210.

We have 210 green key chains. Now let's subtract that from 315. This will give us the remaining key chains - which are red.
315 - 210 = 105.

There are 105 red key chains.

I hope this helps!
3 0
3 years ago
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce
Bad White [126]

Answer:

Let v(t) be the velocity of the car t hours after 2:00 PM. Then \frac{v(1/3)-v(0)}{1/3-0}=\frac{50 \:{\frac{mi}{h} }-30\:{\frac{mi}{h} }}{1/3\:h-0\:h} = 60 \:{\frac{mi}{h^2} }.  By the Mean Value Theorem, there is a number c such that 0 < c with v'(c)=60 \:{\frac{mi}{h^2}}. Since v'(t) is the acceleration at time t, the acceleration c hours after 2:00 PM is exactly 60 \:{\frac{mi}{h^2}}.

Step-by-step explanation:

The Mean Value Theorem says,

Let be a function that satisfies the following hypotheses:

  1. f is continuous on the closed interval [a, b].
  2. f is differentiable on the open interval (a, b).

Then there is a number c in (a, b) such that

f'(c)=\frac{f(b)-f(a)}{b-a}

Note that the Mean Value Theorem doesn’t tell us what c is. It only tells us that there is at least one number c that will satisfy the conclusion of the theorem.

By assumption, the car’s speed is continuous and differentiable everywhere. This means we can apply the Mean Value Theorem.

Let v(t) be the velocity of the car t hours after 2:00 PM. Then v(0 \:h) = 30 \:{\frac{mi}{h} } and v( \frac{1}{3} \:h) = 50 \:{\frac{mi}{h} } (note that 20 minutes is 20/60=1/3 of an hour), so the average rate of change of v on the interval [0 \:h, \frac{1}{3} \:h] is

\frac{v(1/3)-v(0)}{1/3-0}=\frac{50 \:{\frac{mi}{h} }-30\:{\frac{mi}{h} }}{1/3\:h-0\:h} = 60 \:{\frac{mi}{h^2} }

We know that acceleration is the derivative of speed. So, by the Mean Value Theorem, there is a time c in (0 \:h, \frac{1}{3} \:h) at which v'(c)=60 \:{\frac{mi}{h^2}}.

c is a time time between 2:00 and 2:20 at which the acceleration is 60 \:{\frac{mi}{h^2}}.

4 0
3 years ago
Which measurement is equivalent to 987 mL?<br><br> 9.87 L<br> 9,870 L<br> 0.987 L<br> 98.7 L
Nookie1986 [14]
0.987L

1L is equal to 1000mL.
5 0
3 years ago
Solve this steps not needed
777dan777 [17]

Hi!

When you add a negative number, you really just subtract it. So let's solve this.

Convert the mixed numbers into improper fractions.

\frac{434}{9} - \frac{351}{9}

Solve

434 - 351 = 83

\frac{83}{9}

The sign of this fraction is positive

Hope this helps! :)

-Peredhel

4 0
3 years ago
Read 2 more answers
Calculate the perimeter of a rectangle which is 11 metres long and 4 metres wide
mote1985 [20]
To calculate the perimeter of a rectangle what you would do is add the parallel sides together so 11+11=22 and then 4+4=8 so we would add 22+8=30

So your answer would be 30 
(correct me if im wrong)
3 0
3 years ago
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