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Answer:

A) The multiplier for this situation is 0.02.

B) The cost in 4 years will be $ 33,555.39.

C) 31,000 x 1.02 ^ N = X

Step-by-step explanation:

Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:

A)

31,000 x 2/100 = X

31,000 x 0.02 = X

Thus, the multiplier for this situation is 0.02.

B)

31,000 x 1.02 ^ 4 = X

33,555.39 = X

Thus, the cost in 4 years will be $ 33,555.39.

C)

31,000 x 1.02 ^ N = X

Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.

Answer:

Step-by-step explanation:

1)  

we are given ∠17  and the Adj = 200 meters they want to know the Opp

so use  TOA

Tan(17) = Opp / 200

200*Tan(17) = Opp

61.146 = Opp

the mast stands 61.1 meters tall   ( rounded to nearest 10th )

2)

now we know the opp = 40 meters and the angle is 35° and Adj = x

Use TOA again, but w/ the different knowns

Tan(35) = 40 / Adj

Adj = 40 / Tan(35)

57.1259 = Adj

so the boat is 57.1 meters from the cliff  ( rounded to nearest 10th)

3)

we are given two triangles now and are told to find the difference between them to find the distance between the buoys

Opp = 70

∠A = 60

∠B = 40

we want to find the Adj for each so use TOA

for A , then

Tan(60)= 70/a

a = 70 / Tan(60)

a = 40.4145

for B, then

Tan(40) = 70 /b

b = 70 / Tan(40)

b = 83.4227

so subtract  a  from b

83.4227 - 40.4145 = 43.008

so from buoy A to buoy B is 43.0 meters ( rounded to nearest 10th )

:)

Answer:

Step-by-step explanation:

I understand why this was kind tough

the slope of line d is infinite  and the slope of line c is zero

so line c 's  equation looks like  y = 3  ... it's kinda  confusing but  the line is always 3  so you could pick any x value and y = 3 still.  the equation y=3 doesn't rely on x at all to answer it.    But x is part of the "frame work" that is implied.    

line d  is  x = 3   , again , y is part of the "frame work" and implied that y doesn't matter in this equations, you always have x = 3 .. or a vertical line , btw. line d does NOT pass the vertical line test , and therefore isn't a function,  so the question is wrong, that d will have an equation,  b/c there is an implication that d is a function when you say "what is the equation to line d" that is must be a function. But in this case it's not.   hm :/  food for thought

Answer: lesser x = 1/5 greater x = 4

Step-by-step explanation:

Answer:

the answer is F.8

Step-by-step explanation:

Answer:

-8k + 24

Step-by-step explanation:

Is your expression.

Answer:

18.8 fleck dickon Dunn dream fun deep

Answer:

V = (4.2)(7.5)·w

if w = 2 then V = 63 ft³

Step-by-step explanation:

V = l·w·h

V = (4.2)(7.5)(2)

V = 63

Answer:

False

Step-by-step explanation:

your welcome.

Answer:

false

Step-by-step explanation:

Answer:

I want to say it's A

Step-by-step explanation:

the y-intercept is where the line crosses through the y-axis.

Answer:

Sabric i guess

Step-by-step explanation:

because -3.613 is greater than -3.63

Answer:

D is the correct answer

Step-by-step explanation:

Sabric is correct because  –3.613 lies to the right of –3.63 on a number line.

Answer:

a I think I might be a try it tell me if I am wrong

Answer:

d. you just have to multiply everything

Answer: 14

Step-by-step explanation:

5x9/8

Answer: Each person would get [tex]1 \frac{4}{5}[/tex] pizzas.

Step-by-step explanation:

9 pizzas divided by 5 people would be:

9 ÷ 5 = 9/5

9/5 = 1 4/5

Therefore, each person would get get [tex]1 \frac{4}{5}[/tex] pizzas.

Answer:

20.283

Step-by-step explanation:

1) the formula of the required Area is:

A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;

2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:

A₁=0.5*π*r²=2π≈6.283 (cm²);

3) A₂=7*2=14 (cm²);

4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)

Answer:

False

Step-by-step explanation:

The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.

In conclusion, no bias is introduced because of missing observations so the answer is false.

Answer:

B is correct hope this helps

Answer:

90

Step-by-step explanation:

that's a right angle

Answer:

Step-by-step explanation:

Answer:

5.573.75

Step-by-step explanation:

because math

bro what angle I don't see one here so how we are able to solve this problem

Answer:

[tex]\%Percent = 14.3\%[/tex]

Step-by-step explanation:

Required

15 is what percentage of 105

To do this, simply divide 15 by 105 multiplied by 100%.

So, we have:

[tex]\%Percent = \frac{15}{105} * 100\%[/tex]

[tex]\%Percent = \frac{15*100}{105}\%[/tex]

[tex]\%Percent = \frac{1500}{105}\%[/tex]

[tex]\%Percent = 14.3\%[/tex] --- approximated

Answer:

[tex]7^{2}[/tex] -2 * 3 is equal to 43

Step-by-step explanation:

Answer:[tex]g (f (x)) = 3^{2} + 24[/tex]

Step-by-step explanation:

The true about the solutions of the equation f(x) = g(x) is

The solution of the graph where the graph of function intersect at

x = 1 and x = 3.642.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have function,

f(x) = log(x - 1)

g(x) = 1/3x² - 4

As, f(x) = g(x)

log (x-1) = 1/3 x² - 4

Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.

So, the solution of the graph where the graph of function intersect at

x = 1 and x = 3.642

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ5

Answer:

look at the picture i sent please

Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.

2) See attached picture.

j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet

j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.

j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]

3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.

4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]

[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]

(see attached picture for graph)

Step-by-step explanation:

1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:

[tex]j(t)=95t-9t^2[/tex]

[tex]j'(t)=95-18t[/tex]

and we set the first derivative equal to zero so we get:

95-18t=0

and solve for t

-18t=-95

[tex]t=\frac{95}{18}[/tex]

t=5.28s

so now we calculate the position of the car after 5.28 seconds, so we get:

[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]

[tex]j(5.28)=250.69ft[/tex]

so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.

2) For answer 2 I take the second derivative of the function so I get:

[tex]j(t)=95t-9t^{2}[/tex]

[tex]j'(t)=95-18t[/tex]

j"(t)=-18

and then we graph them. (See attached picture)

j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet

j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.

j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]

3)  yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.

4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]

[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]

(see attached picture for graph)