PLEASE HELP, WILL GIVE 20 POINTS.

Mathematics

1 answer:

OverLord2011 [107]3 years ago

6 0

Answer: $200cm^{2}$

Step-by-step explanation:

To double the dimensions, you must multiply both the length and width by 2, so instead of just $l*w=a$ , you have $2l*2w=b$ , which can be simplified even further to $2*2*l*w=b$

Now, multiply the 2s together to get 4, making the equation $4lw=b$ . Since $lw$ is $a$ , and $b$ is 4 times as much as $a$ , you just need to multiply the original area by 4 to get the new area.

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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year

kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting $P=14000,r=0.10,n=2,t=11$ in the above formula, we get