Summarizing the question,
Principle(P)=$100
Rate (r)=12%=0.12
Amount (A)=3×P=$300
Time=t=?
n=no of times the interest is compouned per year=4
Then,
A=P{(1+r/n)}^(n×t)
or,300=100×{1+0.12/4}^(4×t)
or,300/100=(1+0.03)^(4×t)
or,3=1.03^(4×t)
Taking log on both sides,
log3=log[(1.03)^(4×t)]
or,log3= (4×t)×log(1.03)
or,4t=log3/log(1.03)
or,t=log3/[4×log(1.03)]
or, t=9.29175...
t=9.3 years ANS!!!

6 0

3 years ago

The distance between two schools,A and B is 2 km.A market is situated a third of the distance from A to B.How far is the market

bekas [8.4K]

Answer:

$\frac{4}{3}$

Step-by-step explanation:

Find distance between B and market: |B-M|=|M-B|

Distance between A and B: $|A-B| = 2$ , call this equation (1)

Distance between A and market $|A-M| = \frac{1}{3} |A-B|=\frac{2}{3}$ , call this equation (2)

Solve (1) - (2)

$|A-B-A+M| = 2-\frac{2}{3} \\|M-B|=|B-M|=\frac{4}{3}$

3 0

3 years ago

What is the factoring quadratic expression for 8x^2-18=0

mash [69]

$8x^2-18=0\ /:2\\\\4x^2-9=0\ \ \ \Leftrightarrow\ \ \ (2x)^2-3^2=0\ \ \ \Leftrightarrow\ \ \ (2x-3)(2x+3)=0\\\\2x-3=0\ \ \ \ \ \ \ or\ \ \ \ 2x+3=0\\\\2x=3\ /:2\ \ \ \ \ \ or\ \ \ \ 2x=-3\ /:2\\\\x=1.5\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ x=-1.5$

3 0

3 years ago

Read 2 more answers

Using only addition, and subtraction and just 3 operation signs, write an expression that equals 100 using the digits shown. Do

lapo4ka [179]

123 - 45 + (-67) + 89 is the answer.

Hope this helped☺☺

(I had this before. It took me 30 minutes to find the answer, and didn't you ask this before?)

8 0

3 years ago

Read 2 more answers