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3 years ago

3 over 5 (r-7) =1 Enter your answer as a mixed number in simplest form in the box

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

6 0

Answer:

r = 8

Step-by-step explanation:

you start by distributing the 5 to r and -7 to get 3 over 5r - 37. You can then multiply both sides by 5r-37 to get 3 = 5r-37. From here you can add 37 to both sides to get 40 = 5r. From there you divide both sides by 5 to get r = 8

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Amrita bought a new delivery van for $32,500. The value of this van depreciates at a rate of 12% each year. Write a function f(x

FrozenT [24]

Answer:

The function, f(x) to model the value of the van can be expressed as follows;

$f(x) = 32,500 \times \left(0.88\right)^x$

Step-by-step explanation:

From the question, we have;

The amount at which Amrita bought the new delivery van, PV = $32,500

The annual rate of depreciation of the van, r = -12% per year

The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

$f(x) = PV \cdot \left(1 + \dfrac{r}{100} \right)^x$

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

$f(x) = 32,500 \cdot \left(1 - \dfrac{12}{100} \right)^x = 32,500 \cdot \left(0.88\right)^x$

8 0

3 years ago

The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin

Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that $x=rcos(\theta)$ and $y=rsin(\theta)$ where $\theta$ =angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

$x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi$

Now we will calculate the height of the building using the y equation and so:

$y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi$

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0

3 years ago

Slope of this question please and thank you!!!!! :)))))))))))

fiasKO [112]

Answer:

the slope is 1

Step-by-step explanation:

hope this helps :)

4 0

3 years ago

Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her saving

Akimi4 [234]

Janae will have $ 95 in her account after 10 days.

<h3>What is an Arithmetic Progression?</h3>

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.

In this question, a = 50, n = 10, d = 5 and we have to find out a _n

Therefore, a _n = 50 + (10-1)x5

= 50 + 45 = 95

Answer:- Janae will have $ 95 in her account after 10 days.

To learn more about arithmetic progression, refer to:

brainly.com/question/24191546

#SPJ10

8 0

1 year ago

Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5

Sergio [31]

Y=1/5x ! :) I hoped this helped ! Privately message me if you need help with anything else !!

3 0

3 years ago