Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

Answer:

18 7/12 miles

Step-by-step explanation:

Luis is running a 26 mile marathon. He has completed 7 5/12 miles so far. How much farther does he have to run?

We solve the above question using the Subtraction operation

= 26 miles - 7 5/12 miles

= 26 miles - 89/12 miles

Lowest Common Denominator = 12

= 26/1 miles - 89/12 miles

= 312 - 89/12

= 223/12

= 18.583333333 miles

= 18 7/12 miles

He has 18 7/12 miles farther to go

Answer: 24.9

Step-by-step explanation:

6.2 tan(76) = 24.86

Answer:

the answer is 24.9

Step-by-step explanation:

30° = 0.52

150° = 2.68

-220° = -3.34

Answer:

Step-by-step explanation:

3.3

Answer:

B

Step-by-step explanation:

Answer:

y = -2x + 8 (B)

Step-by-step explanation:

Just expand y + 2 = -2(x-5)

y + 2 = -2x +10

y = -2x +8 (minus both sides by 2)

Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

Answer:

Step-by-step explanation

Sucks to be you

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful

Step-by-step explanation:

x = 24

Quadrilateral:

We have 94° + 41° + a + b.

Using 111°, we can do 180 - 111 and get 69°.

Now, we have 94° + 41° + 69° + b.

A quadrilateral's angles will equal 360°.

94 + 41 + 69 + b = 360°

204 + b = 360°

b = 156

Triangle:

Now, we can do 180 - 156 to find x.

x = 24

Hope this was helpful!

Answer:

Option B.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

Answer:

108 cookies total

Step-by-step explanation:

19+89=108

Answer:

108

Step-by-step explanation:

Good Luck!

Answer:

-11/4

Step-by-step explanation:

The y intercept has the coordinates of (0,2)

We have two points (0,2) and (4,-9) so we can find the slope using

m= (y2-y1)/(x2-x1)

   = ( -9-2)/(4-0)

   = -11/4

Answer:

-11/4

Step-by-step explanation:

y = mx + c

Point (x,y)

intercept c

slope m

-9 = m(4) + 2

-9 = 4m + 2

make m the subject of the formula

4m = -9-2

4m = -11

divide both sides by 4

m = -11/4

Answer:

1.341

Step-by-step explanation:

I'm smart at maths

Answer:

x = 25

Step-by-step explanation:

The triangle is isosceles, therefore, the base angles are the same

62 + 2x + 9 + 2x + 9 = 180

62 + 4x + 18 = 180

4x = 180 - 62 - 18

4x = 100

x = 100/4

x = 25

Answer:

Answer is 4 you have to substitute the a and c

Answer:

4

Step-by-step explanation:

If a= -2 and c= 3 then, 2(3) + -2.

6 + -2.

4.

Hope it helps!!!!!!!!! :))

Answer:

32.56

Step-by-step explanation:

Let x = 3

f(3) = -(3)^2

f(3) = -(9)

f(3) = -9

Answer:

Speed=Distance÷time

speed=25km÷0.5hour=50km/h

Step-by-step explanation:

First you must convert minutes to hours (divide by60/ (÷60) ) to get 0.5

30÷60=0.5hours

Answer:

See explanations below

Step-by-step explanation:

Let the amount of nickel be x

Let the amount of pennies be y

Let the amount of quarters be z

If the the total value of the coins is 3.88, then;

x+y+z = 3.88 .... 1

If Anita has 4 more nickels than pennies, then;

x = y + 4 ... 2

If she has 2 more than 4 times the number of quarters than pennies, then;

y = 2 + 4z

4z = y-2

z = (y-2)/4 ...3

Substitute 2 and 3 into 1

y+4+y+(y-2)/4 = 3.88

4y+16+4y + y-2 = 15.52

9y + 14 = 15.52

9y = 15.52 - 14

9y = 1.52

y = 1.52/9

y = 0.17

Since x = y + 4

x = 0.17+4

x  = 4.17

z = y-2/4

z = 0.17-2/4

z = -1.83/4

z = - 0.46

Answer:

The answer is 5 √5

Step-by-step explanation:

Answer:

5 √5

Step-by-step explanation:

This is the simplified radical form of the square root 125(hope this is what you asked for)

Answer:

Malcom used 3 pounds and 3 ounces of rice in the casserole

Answer:

150.8cm

Step-by-step explanation:

Area= π r²

make r subject of the formula

A = π r²

A/π= πr² (dividing both sides by π)

r²= A/ π

r =

[tex] \sqrt{ \frac{a}{\pi} } [/tex]

r=√(1809.56)/(π)

r=√576.0008

r≈24cm

:. circumference= 2π r

= 2× π × 24

=150.7964

≈150.8cm

Answer:

[tex]\huge\boxed{Density = 3.52\ g/cm\³}[/tex]

Step-by-step explanation:

Given:

Mass = m = 1.76 g

Volume = v = 0.5 cm²

Required:

Density = ρ = ?

Formula:

ρ = m / v

Solution:

ρ = 1.76 / 0.5

ρ = 3.52 g/cm³

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!