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iris [78.8K]
3 years ago
7

33% of what number is 1.45

Mathematics
2 answers:
kozerog [31]3 years ago
8 0
I'm pretty sure it's .4875

dalvyx [7]3 years ago
7 0
To find 33% of 1.45 we have to transform 33% into decimal or fraction
33% is 0.33 or  and multiply if by 1.45
so
0.33*1.45=0.4785

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Scrat [10]
\sqrt[3]{\dfrac{x^3}{cy^4}}=\dfrac{x}{4y\sqrt[3]{y}}\\\\\\\dfrac{\sqrt[3]{x^3}}{\sqrt[3]{cy^3\cdot y}}=\dfrac{x}{4y\sqrt[3]{y}}\\\\\\\dfrac{x}{y\sqrt[3]{cy}}=\dfrac{x}{4y\sqrt[3]{y}}\\\\\\\sqrt[3]{cy}=4\sqrt[3]{y}\\\\\sqrt[3]{c}\sqrt[3]{y}=4\sqrt[3]{y}\\\\\sqrt[3]{c}=4\qquad|(\ldots)^3\\\\c=4^3\\\\\boxed{c=64}

Answer D.
3 0
3 years ago
Read 2 more answers
Which expression is equivalent to...
olga_2 [115]

Answer:

8m^5

Step-by-step explanation:

Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)

This gives us the fraction: \frac{24m^7}{3m^2}

We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: \frac{24 * m * m * m * m * m * m * m}{3 * m * m}

Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:

\frac{24 * m * m * m * m * m}{3} which can be simplified in exponent form as: \frac{24m^5}{3}, now all we have to do is divide the 24 by the 3, to get 8

This gives us the answer: 8m^5

6 0
1 year ago
A die-cast plane toy is scaled at 3/16 inch to 1 foot. If the toy is 6.5 inches wide and 8.5 inches long, determine the dimensio
kodGreya [7K]
Given that the die-cast has been represented by 3/16 in to 1 foot, We are are required to calculate for the actual measure of a toy measuring 6.5 inches wide and 8.5 inches long;
the actual width will be given by:
(6.5÷3/16)×1
=34.66666667
=35 feet
The actual length will be given by:
(8.5÷3/16)×1
=45.333
=45 feet
4 0
3 years ago
I'm stuck on 14-16 please help
sukhopar [10]
14 - 16 is -2.

Hope this helped.
3 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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