Which expression is equivalent to 16^3? 6^7 2^11 2^12 2^64
2 answers:
You might be interested in
Answer:
Christian will catch up with Andrew at 4 PM.
Step-by-step explanation:
We use the equations of their positions to solve this question. This equation has the following format:
In which S(t) is the position after t hours, S(0) is the initial position, and a is their speed.
Andrew starts walking at noon, Christian at 1.
We can model the equations starting from 1.
Andrew:
Starts at noon, 3 mph.
So at 1, when Christian starts walking, he is at the mile 3. So S(0) = 3. 3mph, a = 3. So
Christian:
Starts at 1, 4 mph.
So at 1, he is at the position 0. So S(0) = 0. 4 mph, so a = 4.
What time will Christian catch up with Andrew?
t hours after Christian starts walking(which is 1 pm).
t is found when
3 hours after 1 PM, which is 4PM.
Christian will catch up with Andrew at 4 PM.
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>