Hi,
the dealership increased the price by %4., this means the we have to multiply the % times the price.
A. %4 in decimal will be 0.04
B. new price = $ 46 500 * 0.004 = $1860

new price = 46500 + 1860 . =$48360

7 0

3 years ago

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to

gladu [14]

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x

8 0

3 years ago

In the sequence 400, 200, 150, 75, 25...... what number comes next

Scorpion4ik [409]

Answer:

The next term in the sequence = -175

Step-by-step explanation:

Here, the given sequence is : 400, 200, 150, 75, 25...

Now here, in the given sequence,

First Term - Second Term = 400 - 200 = 200

Second Term - Third Term = 200 - 150 = 50

Third term - Fourth Term = 150 - 75 = 75

Fourth term - Fifth term = 75 - 25 = 50

So, following this pattern,

Fifth Term - Sixth term = 200

Or, 25 - Sixth Term = 200

or, Sixth term = 25 - 200 = - 175

Hence, the next term in the sequence = -175

4 0

3 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago