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irina [24]
3 years ago
14

The length of a side of a cube is 4x units. In cubic

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

Option A. 64x^3

Step-by-step explanation:

From the question, we were able to obtain the following:

L = 4x

In cubic units,

Volume = L^3

Volume = (4x)^3

Volume = 64x^3

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111. Dani has $1,000 in an investment account that earns 3% per year, compounded monthly.
tangare [24]

Answer:

A(t) = 1000(1.0025)^{12t}

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money in the account after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the number of years the money is invested or borrowed for.

For this problem, we have that:

P = 1000

The investment is compounded monthly. There are 12 months in a year. So n = 12

The interest rate is 3%. So r = 0.03.

So

The amount of money in her account after t years is:

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 1000(1 + \frac{0.03}{12})^{12t}

A(t) = 1000(1.0025)^{12t}

5 0
4 years ago
Find the vertex of the parabola.
7nadin3 [17]

Answer:

C: (3,1)

Step-by-step explanation:

y = -4x² + 24x - 35

y = -4(x² - 6x) - 35

y = -4[x² - 2(x)(3) + 3² - 3²] - 35

y = -4(x - 3)² -4(-9) - 35

y = -4(x - 3)² + 36 - 35

y = -4(x - 3)² + 1

Vertex (3,1)

7 0
4 years ago
Which expression is equivalent to
Goshia [24]

Answer:

-12(3x - \frac{3}{4} ) = -36x + (\frac{3*12}{4}) = -36x + (3*3) = -36x + 9

option  4

5 0
3 years ago
7/21 equivalent fractions<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B%3F21%7D%20" id="TexFormula1" title=" \frac{7
pashok25 [27]

Answer:

1/103

Step-by-step explanation:

7/721=1/103

6 0
3 years ago
Solve the equation 905=5a
Annette [7]


905=5a

905/5=5a/5

181=a

HOPE THIS HELPS!!!!!!!!!!

7 0
3 years ago
Read 2 more answers
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