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erma4kov [3.2K]
3 years ago
8

Rhonda bought a new laptop for $600. The laptop depreciates, or loses, 10% of its value each year. The value of the laptop at a

later time can be found using the formula A=P(1-r)^t, where P is the original value, r is the rate of depreciation written as a decimal, and t is the number of years since it was purchased. What will the laptop be worth in two years?
Mathematics
1 answer:
RUDIKE [14]3 years ago
7 0

Original price of the laptop = P = $600

Rate of depreciation = r = 10% = 0.10

Time in years = t = 2

We have to find the worth of the laptop after 2 years. The given formula is:

A=P(1-r)^{t}

Using the given values, we get:

A=600(1-0.10)^{2} \\ \\  A=\$486

Thus, the laptop will worth $486 in two years

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)
makkiz [27]
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2
3 0
3 years ago
A section of a railway has a slope of approximately 0.47. In this section, a vertical change of 1 unit corresponds to a horizont
ioda

Step-by-step explanation:

A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet

We can use a proportion here

0.47 / 1 = 1 / x

Cross-multiply

0.47x = 1*1

0.47x = 1

Divide both sides by 0.47

x = about 2.13 units

7 0
3 years ago
A teacher bought 1,465 paint brushes split between her 97 students. She is going to keep the left-over brushes in the classroom.
Crank

Answer:

I got 15. I divided the number of brushes and students

Step-by-step explanation:

I hope this helps :)

5 0
3 years ago
Read 2 more answers
Find the slope of a line whose equation is 3X+6Y=9
Lisa [10]

To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.

3x + 6y = 9

6y = -3x + 9

Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.

y = -1/2x + 3/2

Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).

Hope this helps!

8 0
3 years ago
A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 eac
elena-s [515]

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

8 0
3 years ago
Read 2 more answers
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