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kiruha [24]
3 years ago
13

(04.01)

Mathematics
1 answer:
katrin [286]3 years ago
5 0
The third one, 2 to the power of 5 over 6

√2  * 3√2

convert from radical form to exponent form to solve for the same root
( x^m/n = n√x^m )

2^(1/2) * 2^(1/3)  
2^{3/6} * 2^{2/6} - find common denominator (6)
6√(2^3) * 6√(2^2)  - convert back to radical form 
6√(2^3 * 2^2)- combine

6<span>√(</span>2^5)
then convert to exponential form again
~ 2^5/6 ~

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Solve for m<br> 2/3=m/42
almond37 [142]
\frac{2}{3}=\frac{m}{42}\ \ \ \ | multiply\ by\ 42\\\\ \frac{2*42}{3}=m\\\\&#10;28=m\\\\Solution\ is\ m=28.
4 0
3 years ago
Use the distributive property to rewrite the expression: 5(3p -8)
makkiz [27]

Answer:

15p-40

Step-by-step explain

i think is this

8 0
2 years ago
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Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a
densk [106]
To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

m= d {e}^{tc}

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

ln( \frac{m}{d} ) = tc

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

ln( \frac{4331.16}{4132.79} ) = (0.25)c

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

ln( \frac{8000}{4132.79} ) = t(0.1875)

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!
5 0
3 years ago
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Find the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5
umka2103 [35]

Answer:

i think its 3.5 years

Step-by-step explanation:

4 0
2 years ago
14)<br> Q<br> 28<br> ?<br> A) 112°<br> C) 50°<br> B) 65°<br> D) 125°<br> ASAP IM TAKING MY FINAL
lapo4ka [179]

Answer:

112

Step-by-step explanation:

I am not 100% sure because I can't see information given on the shape, but assuming it is equal angles

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