Answer:
g=1
Step-by-step explanation:
Given equation is \[−3+5+6g=11−3g\]
Simplifying, \[2+6g=11−3g\]
Bringing all the terms containing g to the left hand side and the numeric terms to the right hand side,
\[6g + 3g=11−2\]
=> \[(6 + 3)g=9\]
In other words, \[g=\frac{9}{9}\]
Or, g = 1
The given equation is satisfied for g=1.
Validation:
Left hand side of the equation: -3+5+6 = 8
Right hand side of the equation: 11-3 = 8
Answer:
The answer is 2.68
Step-by-step explanation:
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
C...to show this, interchange letters: x = (y+1)/(y-1)xy-x = y + 1xy - y) = x + 1y(x-1) = x+1y = (x+1)/(x-1) ⇐ this is f-1(x) and it's identical to f(x). Note: <span>the equal sign is missing in the definitions of the functions c. & d.</span>
Answer:
50 cm
Step-by-step explanation:
4/5 = 40/x
cross multiply
4x=200
x=50
