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3 years ago

A music store buys instruments and then sells them for 30% more than they paid.

Mathematics

1 answer:

IgorC [24]3 years ago

5 0

Bye doing the pemdas equation the at 3x + -5 you get the answer

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Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows

Paul [167]

The value of cement mixer after t year is $f(t) = 54,205(0. 87)^{t}$

Given to us

The value of cement mixer when bought, $P$ = $ 54,205

the value of cement mixer after 1 year, $P_1$ = $ 47,158. 35

the value of cement mixer after 2 year, $P_2$ = $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

$P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years$

By putting the value, in the formula we get,

$P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13$

Therefore, putting the value of $r$ and $P$ in depreciation formula for $t$ years we get,

$P_n= P(1-r)^n$

$f(t) = 54,205(0. 87)^{t}$

Hence, the value of cement mixer after t year is $f(t) = 54,205(0. 87)^{t}$ .

To know more visit:

brainly.com/question/3023490

8 0

2 years ago

Find the height of the cylinder.

lara31 [8.8K]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
V=271.4\\
r=6
\end{cases}\implies 271.4=\pi (6)^2h\implies \cfrac{271.4}{\pi (6)^2}=h$

3 0

3 years ago

Read 2 more answers

The area of a triangle is 54 cm2. The base is 18 cm. What is the height of the triangle? Let h represent the height of the trian

Margaret [11]

Hi,

h = 2 a/b so our answer would be 6. The height of the triangle is 6.

Have a great day!

7 0

3 years ago

What is the rule that defines the function shown in the graph for the interval, {-2 < x < 0}?

KIM [24]

Answer:

Step-by-step explanation:

720,080 in expanded form with components

(7 X 10>50

3 0

2 years ago

Need help ASAP! Directions in picture ;)

GuDViN [60]

The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)

6 0

2 years ago