4m+9+5m-12=42
9m-3=42
Divide bothsides by 9.
9m/9 -3/9=-0.3=-4
m=-4
Answer:
Step-by-step explanation:
Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t
where PV= Initial amount deposited
r= interest rate or discount rate
t = total duration of the investment
FV= 750
PV=500
r = 2.5% or 0.025 as a decimal
t = ?
Next, plug in the numbers into the formula;
750 = 500* (1+0.025)^t
divide both sides by 500;
750/500 = 1.025^t
Introduce <em>ln</em> on both sides
ln 1.5 = ln 
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926 to solve for t;
0.4054651/0.0246926 = t
t = 16.42
Therefore it will take 16.42 years
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Answer is in the file below
tinyurl.com/wpazsebu
Hi there!
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I believe your answer is:
4
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Here’s why:
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- I am assuming that the fraction is supposed to be the exponent.
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![64^{\frac{1}{3}}\\--------\\\rightarrow \text{Recall the exponent rule: } a^{\frac{m}{n}}=(\sqrt[n]{a})^m\\\\\\\rightarrow \sqrt[3]{64}\\\\\rightarrow \boxed{4}](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C--------%5C%5C%5Crightarrow%20%5Ctext%7BRecall%20the%20exponent%20rule%3A%20%7D%20a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%28%5Csqrt%5Bn%5D%7Ba%7D%29%5Em%5C%5C%5C%5C%5C%5C%5Crightarrow%20%5Csqrt%5B3%5D%7B64%7D%5C%5C%5C%5C%5Crightarrow%20%20%5Cboxed%7B4%7D)
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Hope this helps you. I apologize if it’s incorrect.