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 =
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 = ![936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]](https://tex.z-dn.net/?f=936%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1%20-%201.04%5E%7B-7%7D%7D%7B%200.04%7D%20%5Cright%5D)
Present Value = ![936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]](https://tex.z-dn.net/?f=936%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1%20-%200.759918%7D%7B%200.04%7D%20%5Cright%5D)
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:
x=-8
Step-by-step explanation:
Subtract 2 from both sides
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Subtract 2x from both sides
Simplify
After one week it will be a total decrease of 175 milligrams
Answer:
You can visualize this easily.
y=f(x+h)
Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)
The function y acquires the value of f(x) at (x−h) amounting to a left shift.
Hope this makes things clear.
Step-by-step explanation:
Answer:
5.63
Step-by-step explanation:
Angle NLM is equal to KLM - KLN.
Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)
Since NLM = 16y, then 90 = 16y.
Dividing both sides by 16, we find that:
y = 5.625
