The concept of present value lets us know that the doggy estate worth in today's dollars is $180614.80
<h3>What is the present value of the doggy estate worth?</h3>
The concept of present value is significant because it enables investors to determine whether the amount they pay for an investment is reasonable. The present value of a future cash flow defines how much it is worth in today's value.
From the given information:
- The annual cashflow C = $20,000
- Interest rate (i) = 4.2% = 0.042
- Number of period (n) = 11
Thus, the present value of the doggy estate can be calculated by using the formula;
![\mathbf{PV = C \times \Big [ \dfrac{1 - \dfrac{1}{(1+i)^n}}{i}\Big] \times (1+i)}](https://tex.z-dn.net/?f=%5Cmathbf%7BPV%20%3D%20C%20%5Ctimes%20%5CBig%20%5B%20%5Cdfrac%7B1%20-%20%5Cdfrac%7B1%7D%7B%281%2Bi%29%5En%7D%7D%7Bi%7D%5CBig%5D%20%5Ctimes%20%281%2Bi%29%7D)
![\mathbf{PV = 20000 \times \Big [ \dfrac{1 - \dfrac{1}{(1+0.042)^{11}}}{0.042}\Big] \times (1+0.042)}](https://tex.z-dn.net/?f=%5Cmathbf%7BPV%20%3D%2020000%20%5Ctimes%20%5CBig%20%5B%20%5Cdfrac%7B1%20-%20%5Cdfrac%7B1%7D%7B%281%2B0.042%29%5E%7B11%7D%7D%7D%7B0.042%7D%5CBig%5D%20%5Ctimes%20%281%2B0.042%29%7D)
PV = $180614.80
Learn more about how to calculate the Present value here:
brainly.com/question/15904086
When a body is moving in circular path at a
distance r from its center its velocity at any
instant will be directed tangentially. This is
what we call tangential velocity. It is
calculated as follows:
Vt=r(w)
where w = 5 rev/s (2m rad / rev) = 31.42
rad/s
Vt = 0.24(31.42) = 7.5 m/s
The amount deducted from his paycheck for health insurance bi weekly is; $100.94
<h3>What is the amount deducted?</h3>
Since 70% of his health insurance premium is paid by his employer and the remaining deducted, then;
Scott's amount deducted per week for health insurance = 8,748 x 30% = $2,624.40
There are 52 weeks in a year and as such, amount deducted weekly is;
2,624.40/52 weeks = $50.47
Amount deducted bi weekly = 50.47 × 2 = $100.94
Read more about amount deducted at; brainly.com/question/2880026
It's due to more pressure as the sound is searched deep into the waters.<span> The adjustments were done to adapt and make clearer sounds.</span><span>
</span><span>Animal researchers use hydrophone arrays to determine the location of the whale calls. </span><span>Another equipment is the Sound Surveillance system, it is used on the sea floor once during the cold war to detect warships and submarines. But now it is used in researchers to understand animals in the ocean. </span>
I am currently enrolled at Penn Foster and they claim after you finish all your required courses you get a high school diploma however tests like the SAT and ACT are not provided :/