Answer:
Amount he must have in his account today is $5,617.92
Step-by-step explanation:
Data provided in the question:
Regular withdraw amount = $900
Average annual interest rate, i = 4% = 0.04
Time, n = 7 years
Now,
Present Value = ![C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)](https://tex.z-dn.net/?f=C%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%20i%29)
here,
C = Regular withdraw amount
Thus,
Present Value = ![C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)](https://tex.z-dn.net/?f=C%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%20i%29)
Present Value = ![900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)](https://tex.z-dn.net/?f=900%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2B0.04%29%5E%7B-7%7D%7D%7B%200.04%20%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%200.04%29)
Present Value =
Present Value =
Present Value = 936 × 6.00205
or
Present Value = $5,617.92
Hence,
Amount he must have in his account today is $5,617.92
Answer:
93 miles
Step-by-step explanation:
Use the distance formula:
d = ![\sqrt{(x2 - x1)^2 + (y2 - y1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x2%20-%20x1%29%5E2%20%2B%20%28y2%20-%20y1%29%5E2%7D)
Plug in the values:
d = ![\sqrt{(121 - 57)^2 + (79 - 11)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28121%20-%2057%29%5E2%20%2B%20%2879%20-%2011%29%5E2%7D)
d = ![\sqrt{4096 + 4624}](https://tex.z-dn.net/?f=%5Csqrt%7B4096%20%2B%204624%7D)
d = ![\sqrt{8720}](https://tex.z-dn.net/?f=%5Csqrt%7B8720%7D)
d = 93.4
= 93 miles
There is 16 ounces in 1 pound. so you would want to divide 12.40 by 5 = $2.48 . so its $2.48 for a pound divide by 2 and you answer would be $1.24... i hope that helps
Answer:
v= 17
Step-by-step explanation:
Start with the given equation.
19v – 18 = 16 + 17v
Move -18 to the other side, and swap it's sign.
19v = 16 + 18 + 17v
Move 17v to the other side and swap it's sign.
19v - 17v = 16 + 18
Combine like terms.
2v = 34
Divide by 2v.
v = 17
Answer: Hm,.
Step-by-step explanation:
If you need all of these, here is this.
Fraction: 5/100
Decimal: 0.05
Percent: 5%