Assuming it is compounded monthly, Lucas will have $28,128,737.86 in his account after 16 months.
Answer:
Up to 5 hours
Step-by-step explanation:
<u>Given:</u>
- One off fee = $46
- Hourly rent = $6.4 / hr
- Amount limitation= $78
<u>Equation to reflect the condition:</u>
- 78 = 46 + 6.4t
- 6.4t = 78 - 46
- 6.4t = 32
- t = 32/6.4
- t = 5 hours max
So, the meeting room can be rented for up to 5 hours with $78
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
