All categories

1 year ago

Despite booming new car sales with their cha-ching

Mathematics

1 answer:

Elena-2011 [213]1 year ago

6 0

Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

=======================================================

Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

This leads us to go from y = mx+b to y = 1250x+30100

Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

-----------------

Next, we plug in y = 47600 and solve for x.

y = 1250x+30100

47600 = 1250x+30100

47600-30100 = 1250x

17500 = 1250x

1250x = 17500

x = 17500/1250

x = 14

This means 14 years after the year 2008 is when the average new car price will be $47,600.

2008+14 = 2022

2022-2014 = 8

Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.

You might be interested in

Which facts could be applied to simplify this expression? Check all that apply.

lisov135 [29]

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

stay safe!! wash ur hands and wear a mask :D

3 0

2 years ago

Help me////////////////////////////////

Sophie [7]

Answer:

Step-by-step explanation:

You need two facts

The smallest angle is opposite the smallest side
The name is the letter not making up the line.

RP is the smallest side

Q is the smallest angle

PQ is the next smallest side

R is the next smallest angle

QR is the largest side

P is the greatest angle

<Q <R <P is the correct order from smallest to largest

That's the second one from the top.

8 0

2 years ago

A sphere of radius 2x m has an area of 152.4 m2 and a volume of 360.9 m3. How much will the area and volume of another sphere

VladimirAG [237]

Answer:

$V = 1218.0375m^{3}$

$A = 342.9m^{2}$

Step-by-step explanation:

Area:

$A =$ π $r^{2}$

$152.4 =$ π $(2x)^{2}$ *Square 2x*

$152.4 =$ π $4x^{2}$ *Divide by π*

$48.510 = 4x^{2}$ *Divide by 4*

$12.128 = x^{2}$ *Square root*

$\sqrt{12.128} = x$ *Solve*

x ≈ 3.482

Now take the same equation but replace 2x with 3x

$A =$ π $r^{2}\\$

Now replace x with 3.482 and solve for area.

$A = 342.9m^{2\\}$

Volume:

$V = \frac{4}{3}$ π $r^{3}$ *Insert variables*

$360.9 = \frac{4}{3}$ π $(2x)^{3}$ *Cube 2x*

$360.9 = \frac{4}{3}$ π $(8x^{3})$ *Multiply $\frac{3}{4}$ on both sides*

$270.675 =$ π $(8x^{3})$ *Divide by π*

$86.159 = 8x^{3}$ *Divide by 8*

$10.770 = x^{3}$ *Cube root*

$\sqrt[3]{10.770} = x$ *Solve*

x ≈ 2.208

Now take the same equation but replace 2x with 3x

$V = \frac{4}{3}$ π $(3x)^{3}$

Now replace x with 2.208 and solve for volume.

$V = 1218.0375m^{3}$

4 0

2 years ago

What is 19/20 minus 11/20??????

USPshnik [31]

$\frac{19}{20}-\frac{11}{20}=\frac{19-11}{20}=\boxed{\frac{8}{20}=\frac{8:4}{20:4}=\frac{2}{5}}$

8 0

2 years ago

Read 2 more answers

Ariana made strawberry jam. She needs 2 cups of sugar to make a full batch. She only has enough berries to make 4/5 of a batch.

Alexeev081 [22]

Answer:

1.6 cup

Step-by-step explanation:

2/5= 0.4

0.4*4= 1.6 cup

4 0

2 years ago