Answer:
<em>A = $5183.36</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:
A = $5183.36
False, the estimated square root of 32 is 5.65685424... while 25/2 = 12.5
Answer:
Transitive property of equality
Step-by-step explanation:
By the definition of transitivity, a relation R is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.
If p = q, q = r then p = r.
Here, we have given that if ZXY = FDE and FDE = CAB, then, ZXY = CAB.
Therefore, it shows the transitive property of equality.
Answer:
Option A
Explanation:
the ratio of radii to volume is ^3 "to the third power"
so 5^3 : 9^3 would be the ratio for volumes
125:729
The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:
![PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]](https://tex.z-dn.net/?f=PV%3DP%20%5Cleft%5B%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%20%5Cright%5D)
Given that <span>Estes
Park Corp. pays a constant dividend of P = $6.95 on its stock. The company
will maintain this dividend for the next n = 12 years and will then cease
paying dividends forever. If the required return on this stock is r = 10 % = 0.1.
Thus, the current share price is given by:
![Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\ \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\ \\ =6.95(6.813)=\bold{\$47.36}](https://tex.z-dn.net/?f=Current%20%5C%20share%20%5C%20price%3D6.95%20%5Cleft%5B%5Cfrac%7B1-%281%2B0.1%29%5E%7B-12%7D%7D%7B0.1%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%20%3D6.95%5Cleft%5B%5Cfrac%7B1-%281.1%29%5E%7B-12%7D%7D%7B0.1%7D%20%5Cright%5D%20%3D6.95%5Cleft%28%5Cfrac%7B1-0.3186%7D%7B0.1%7D%20%5Cright%29%3D6.95%5Cleft%28%5Cfrac%7B0.6814%7D%7B0.1%7D%20%5Cright%29%20%5C%5C%20%20%5C%5C%20%3D6.95%286.813%29%3D%5Cbold%7B%5C%2447.36%7D)
Therefore, the current share price is $47.36
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