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MaRussiya [10]
3 years ago
10

Which one is equivalent Look at the pic

Mathematics
2 answers:
Paha777 [63]3 years ago
6 0
(3/5)³

=(3³)/(5³)

=27/125

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

As:

3*3*3=27

And:

5*5*5=125
Sliva [168]3 years ago
6 0
\dfrac{27}{125}=\left(\dfrac{3}{5}\right)^3
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Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
What is the perimeter of a lawn that is 25 feet long and 20 feet wide?
Inessa [10]

Answer:

Hey

Step-by-step explanation:

500 feet total is your answer because if you multiply the two numbers you et 500

7 0
2 years ago
What if a triangle has 23 mm 20 mm 13 mm angles 62° 72° 46°
Readme [11.4K]
<span>a scalene triangle: a triangle where all the sides are different and all the angles are different.</span>
5 0
3 years ago
Which linear function represents the table?
NemiM [27]

Answer:  C) y = -7x + 7

Step-by-step explanation:

The formula produces the same numbers that appear on the table.  

<u>x</u>   <u>y calculated</u>

6       -35

-2        21

-1         14

1            0

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4 0
2 years ago
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