9514 1404 393
Answer:
$20.01
Step-by-step explanation:
In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...
(1.00002^17)(1.00004^1) = 1.00038006801
Then the account balance is ...
$20 × 1.00038006801 ≈ $20.01
_____
<em>Additional comment</em>
The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) <em>only if there is no rounding in intervening years</em>.
The slope of the original line is 1 so the perpendicular slop is -1
Slope intercept form is y=MX+b.
M is the slope, x is the x intercept, and b is the y intercept
the slope is
An intercept is where the formula crosses the axis. therefore, the x intercept is .5, and the y intercept is 1
so the point slope formula is
The answer is D
This is because if for every $50 he saves $5, and he has saved a total of $500, you can set up a proportion to find out how much money he has saved at that point.
The proportion is as follows:
50/5 == 500/x
x is equivalent to the amount of money he has saved
You can cross multiply to get the following equation:
50x == 2500
To isolate x, you must divide both sides by 50, giving you an answer of:
x = 50
This is the same as option D
Answer:
ln(3) + 5 - 3ln(x) or 6.0986 - 3ln(x)
Step-by-step explanation:
= 
, since ln(x/y) = ln(x)-ln(y)
= ln(3) + 
, since ln(xy) = ln(x) + ln(y)
= ln(3) + 
= 
, since ln(
) = yln(x)
= ln(3) + 5 -3ln(x) , since ln(e)=1
if needed further simplification,
ln(3) = 1.0986
ln(e) = 1
= 6.0986 - 3ln(x)
