A function which has a constant difference per interval is?

Luda [366]

(-2,5) (2,0)
Just use the slope formula to find slope.

m = (y2-y1)/(x2-x1)
m = (0-5)/(2+2)
m = -5/4

Hence, the slope of the line is -5/4.

6 0

3 years ago

Read 2 more answers

What is the sum of 7452816653 times 23534 and divided by 1423

DIA [1.3K]

The answer is 123,256,912,938.65

4 0

3 years ago

Jackson purchases a new car for $48,000. The car's value can be modeled by the

vekshin1

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function: $y = 48000(0.76)^t$ where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form $y=a\cdot (1-r)^x$ , where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function $y = 48000(0.76)^t$ with standard decay function $y=a\cdot (1-r)^x$ , we can see that $1-r=0.76$ .

Let us solve for r.

$1-1-r=0.76-1$

$-r=-0.24$

$r=0.24$

Let us convert 0.24 into percentage.

$0.24\times 100\%=24\%$

Therefore, the decay rate is 24%.

8 0

3 years ago

The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all

katovenus [111]

Answer:

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

if

12% ⇔ $9000

then

100% ⇔x

the ratio is

$\frac{12}{9000}=\frac{100}{x}\\$

Now, solve for x

$\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\$

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is $\frac{75000}{price\ of\ the\ car} \\$

$\frac{75000}{price\ of\ the\ car} \\$

now, price of the car* number of the car = 75000

where

$numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}$

Have a nice day

6 0

3 years ago

A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c

Alenkinab [10]

Answer:

$C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}$

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

$l\times b\times h$

where l is the length, b is the base and h is the height.

Volume of box =

$s^2h = 150\\\\h = \dfrac{150}{s^2}$

Area of base =

$\text{side}\times \text{side} = s^2$

Cost of concrete for the base = $4

Cost of base($) = $4s^2$

Area of roof =

$\text{side}\times \text{side} = s^2$

Cost of material for the roof = $2

Cost of roof ($) = $2s^2$

Area of 4 walls =

$4\times (sh)\\=4sh$

Cost of material for the side = $2.50

Cost of material of side($) =

$2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}$

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

$C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}$

is the required cost function.

5 0

3 years ago