Answer:
x = 48
Step-by-step explanation:
log〖 (2x+4)〗=2
Raise each side to the base of 10
10 ^log〖 (2x+4)〗=10^2
The 10 ^log cancels
2x+4 = 100
Subtract 4 from each side
2x+4-4 = 100-4
2x = 96
Divide by 2
2x/2 = 96/2
x =48
Answer:
$7,305.50
Step-by-step explanation:
The computation of the FICA tax pay in 2005 is shown below:
Medicare = 1.45% × $119,000 = $1,722.50
And, Social security tax = 6.2% × 90,000 = $5,580
So, the FICA tax in 2005 is
= Medicare tax + Social security tax
= $1,722.50 + $5,580
= $7,305.50
5x^2= 2205
Divide both sides by 5
x^2=441
Find the square root of both sides
x= 21
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
solve for t
simplify
Apply ln both sides
![ln(2)=ln[(e)^{0.036t}]](https://tex.z-dn.net/?f=ln%282%29%3Dln%5B%28e%29%5E%7B0.036t%7D%5D)
Applying property of exponents
![ln(2)=[0.036t]ln(e)](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5Dln%28e%29)
Remember that ln(e) =1
![ln(2)=[0.036t]](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5D)
![t=ln(2)/[0.036]](https://tex.z-dn.net/?f=t%3Dln%282%29%2F%5B0.036%5D)
Answer:
$70
Step-by-step explanation:
If the account start with $95, and you deposited $15:
95+15 = $110
After that, you took 65:
110 -65 = $45
After you deposited $40:
45 + 40 = $85
And for last you took more 15:
85 -15 = $70
