Answer:
Shorty has $142 after 7 month.
Step-by-step explanation:
The concept of compounded interest involves an initial capital that is reinvested month by month, it means that the initial capital plus the interest earned during the first month is reinvested on the second month and so on. The equation that describes the relationship between the final capital with the initial capital, the percentage of compounded interest and the time is:
Cf = Ci(1 + r)^n
where Cf: final capital (the money tha Shorty needs, $142)
Ci: initial capital (the money that Shorty has, $80)
r is the interest (9% = 0,09)
n: time (in months)
⇒142 = 80 (1 + 0,09)^n ⇒ 142/80 = (1,09)^n ⇒ 1.775 = (1,09)^n At this point you have to apply logarithms.
⇒ log (1.775) = n log (1.09) ⇒ n = log (1.775)/log (1.09) ⇒ n= 6.658
Shorty has $142 after 7 month.
Slope-intercept:
y=mx+b
5x-y=9
5x=y+9
y+9=5x
y=5x-9
Slope-int: y=5x-9
The range would be the difference between the lowest age and the highest age.
The highest age is 76, the lowest age is 30
The range is 76 - 30 = 46
18.5 hours
To solve this problem, you first need to figure out the average amount of money per hour the worker earns.
That would be the base salary plus the average tips per hour. So
$6 + $12 = $18
Then to figure out how many hours the worker needs to work, divide the goal by the hourly earnings. So
$333 / $18 = 18.5 hours.
Therefore on average, it will take 18.5 hours to earn $333, assuming a
base salary of $6/hour and an average of $12 in tips per hour.
