A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft​

Given:

The value of car before two years = £10000

The value of the car decreases by 5% each year.

To find:

The present value of the car.

Solution:

The exponential decay model for present value is

[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]

Where, a is the initial value, r is the rate of decay and t is time in years.

Putting P=10000, r=5 and t 2, we get

[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]

[tex]y=10000\left(1-0.05\right)^2[/tex]

[tex]y=10000\left(0.95\right)^2[/tex]

On further simplification, we get

[tex]y=10000(0.95)(0.95)[/tex]

[tex]y=9025[/tex]

Therefore, the present value of the car is £9025.

Answer:

x=5.4

y= 9

z= 11

Step-by-step explanation:

5x= 27

x= 5.4

2y-5=y+4

y=9

3z = 33

z =11

Answer:

it depends

Step-by-step explanation:

I could be very committed,

im 15 in july my name is mercedes. and im bi, I skate and taken

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Answer:

above beat me to it he is right

Answer:

A= -75

B= -60

C= -45

D= -15

E= 15

F=30

Step-by-step explanation:

Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.

Hope this helped!

Answer:

because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly

Step-by-step explanation:

Answer:

3x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Carlos made:

Lily made:

Together they made:

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

Answer: 8000 dm³

Step-by-step explanation:

1 m³= 1000 dm³

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

Given

8 m³= dm³

Solve

8 m³ × 1000 dm³/m³=8000 dm³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

Answer:

0.3

Step-by-step explanation:

it's the only one not there

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

Answer:

hi

Step-by-step explanation:

B. is the answer i did the test and it was right

Answer:

B

Step-by-step explanation:

5418-6= 5412

Hope this helps

Answer:

In a graph, the x-intercept will be the point in which the line crosses the horizontal line of the plane.

The y-intercept is found when the line crosses the vertical line of the plane.

In an equation, y = mx + b, the y-intercept is the value of b, and the x-intercept is shown when y = 0. (substitute y for 0 and find the value of x)

Answer:

Let me know if you'd like me to clarify something. Good luck

Answer:

The basketball game sold 439  adult tickets and  858 student tickets.

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values ​​of the unknowns, with which when replacing, they must give the solution proposed in both equations.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047  was collected on the sale of 1,291 tickets.

With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:

[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]

Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:

y=1291 -x

and you replace in the second equation:

5*x + 1291 - x= 3047

Solving, you get:

5*x-x= 3047 - 1291

4*x= 1756

x= 1756÷4

x=439

Replacing this value in the expresion y=1291 -x you get:

y=1291 -439

y= 858

The basketball game sold 439  adult tickets and  858 student tickets.

Answer:

i think is y>X

Step-by-step explanation:

Answer: 3/16

Step-by-step explanation: hope this helps :)

Answer:

0.5625

Step-by-step explanation:

Answer:

0.07 (7/100) is closer to 0.

1.150 (1150/1000) is closer to 1.

0.391 (391/1000) is closer to 1/2.

0.0999 (999/10,000) is closer to 0.

0.99 (99/100) is closer to 1.

0.599 (599/1000) is closer to 1/2.

Put everything as a fraction. The first spot after the decimal means you put the number over 10, the second place means you put it over 100, the third 1,000, fourth 10,000 and so on. Hope I helped! ^^Step-by-step explanation:

The closeness of the given function is found to be by writing it in the simplest form as 1.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given fraction is 15/20.

It can be simplified as below,

Divide numerator and denominator by the common factor 5 as,

(15 ÷ 5)/(20 ÷ 5)

⇒ 3/4

The given fraction 3/4 is greater than zero and closest to 1.

Hence, the given fraction is closest to integer 1.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ2

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:-10hy-4h

Step-by-step explanation:

h*-10y and h*-4