Answer:
HDTV Converters
a. The probability that the driver will have enough working converters = 80% (100 - 20%).
b. The driver should load 10 boxes (or specifically 9.5 boxes) to ensure a 95% probability of having enough working converters.
Step-by-step explanation:
a) Data and Calculations:
Probability of HDTV converters known to not work property = 20%
This implies that 80% (100 - 20%) will work properly.
Number of converters to install today in an apartment building = 8
Number of converters placed in the truck = 10
b) The probability that the driver will have enough working converters = the probability of having properly working converters, which is 80%. To ensure a 95 percent probability of having enough working converters, out of 10 converters, the number of boxes to load on the truck is 9.5 (10 * 95%) boxes. Since there are no half boxes, it means that 10 boxes must be loaded, approximated to the nearest convenient number.
Answer:
65
Step-by-step explanation:
150-(4^2+4)/2
150-(16+4)/2
150-(20)/2
130/2=65
3 = x/2
x = 3 * 2
<u>x </u><u>=</u><u> </u><u>6</u>
.......
By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula ![PV = A \frac{[1- \frac{1}{(1+r)^{N}}]}{r}](https://tex.z-dn.net/?f=%20PV%20%3D%20A%20%5Cfrac%7B%5B1-%20%5Cfrac%7B1%7D%7B%281%2Br%29%5E%7BN%7D%7D%5D%7D%7Br%7D%20)
, we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula ![FV = A\frac{[(1+r)^{N}-1]}{r}](https://tex.z-dn.net/?f=%20FV%20%3D%20A%5Cfrac%7B%5B%281%2Br%29%5E%7BN%7D-1%5D%7D%7Br%7D%20%20%20)
, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$
