Answer:
2.33 hours
Step-by-step explanation:
Given
Veteran Tutor
--- first session
College Graduate
--- first session
Required
Determine the number of hours they earn the same amount
Represent the hours with x
First, we need to calculate the total charges for the veteran tutor for x hours;
Next, we need to calculate the total charges for the college graduate tutor for x hours;
For them to earn the same amount, we have:
Solving for x
Divide through by 15
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1)
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>
X=12 because I said so and I’m smart
Answer:
A. 50.38
Step-by-step explanation:
Bill is 38.96. Calculate sales tax: 38.96x.0775=3.02.
38.96 + 3.02=41.98 total before tip
41.98x.20=8.40 tip
41.98 + 8.40=50.38