Answer:
D
Step-by-step explanation:
Area of the square ( 5.1x5.1 ) added to
Area of one triangle ( 0.5x5.1x5.95 ) times 4 (because there are four triangles)
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.
<h3>What is compound interest?</h3>
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
![A = P(1+ \dfrac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%2B%20%5Cdfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
where A is the final amount
P is the principal amount
r is the rate of interest
n is the number of times interest is charged in a year
t is the number of years
The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is
![\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}](https://tex.z-dn.net/?f=%5Ctext%7BAccount%20Balance%20after%2021%20years%7D%20%3D%2029%2C000%281%2B%5Cdfrac%7B0.0724%7D%7B365%7D%29%5E%7B%28365%20%5Ctimes%2021%29%7D)
= $69,131.44
Hence, Mike's account balance after 21 years is $69,131.44.
Learn more about Compound Interest:
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The integers divisible by any set of positive
integers are the multiples of their LCM
let us first write the factored form of each
10 = 2×5
12 = 2×2×3
16 = 2×2×2×2
18 = 2 x3×3
Now we will find lcm of these numbers
LCM = 2×2×2×2×3×3×5 = 720
The multiples of 720 are divisible by 10,12,16 and 18.
2000/720 = 2.777777...
The least integer greater than that is 3, so 3×720 = 2160 is
the least integer greater than 2000 that is divisible by
10,12,16 and 18.
so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160
2160-2000=160
so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18
Because your gonna elminate the loners and soon your going to substitute them for numbers