Is this a multiplication question?

Mathematics

1 answer:

nevsk [136]3 years ago

7 0

It can be. Or you could set it up as addition. The acrobat is doing the stuff on the top of the picture. And the total distance is on the bottom of the picture. So you add all the parts on the top and that equals the part on the bottom. 8+x+8+x+8+x=30
Or 3*8+3*x=30
Either way simplifies to 24+3x=30
Subtract the 24 from both sides
3x=6
Divide by the 3 on both sides
X=2
The length of each trick is 2.

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A man invested $10,000 in the bank. if the account pays 5% pa interest compounded monthly, how long would take for the man to ac

sesenic [268]

Answer:

<u>3.63 years</u>

Step-by-step explanation:

The formula would be of compound growth, which is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount (with interest)

P is initial deposit

r is rate of interest in a year

n is number of compounding in 1 year

t is the time in years

Given in this problem:

To accumulate 2000 interest means the future amount will be:

10000+2000 = 12,000

Present amount is 10,000

r is the annual interest, which is 5% or 0.05

compounded monthly means, 12 times a year, so n = 12

t is time in years, which we need to find

Substituting, we have:

$F=P(1+\frac{r}{n})^{nt}\\12000=10000(1+\frac{0.05}{12})^{12t}\\1.2=(1.0042)^{12t}\\Ln(1.2)=Ln((1.0042)^{12t})\\Ln(1.2)=12t*Ln(1.0042)\\12t=\frac{Ln(1.2)}{Ln(1.0042)}\\12t=43.50099\\t=3.63$