Answer:
<em>The annual interest is 6.77%</em>
Step-by-step explanation:
<u>Simple Interest</u>
Definition: Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to form the new principal, simple interest only considers the principal to calculate the interest in every period.
The interest earned is calculated as follows:
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Your parents will retire in t = 19 years. They have P=$350,000 in their savings account and they need to have $800,000 when they retire.
The interest earned is the difference between the final balance and the principal:
I = $800,000 - $350,000 = $450.000
Solving the first equation for r:
Substituting:
Calculating:
r = 0.0677
Or, equivalently:
r = 6.77%
The annual interest is 6.77%
16 ounces for $4.40 is a better deal by .025
<span>13 3/4 length board needed
44.4 hours
Since you need 5 lengths of 2 Âľ feet boards, multiply 2 Âľ by 5, giving
5 * 2 3/4 = 5 * 11/4 = 55/4 = 13 3/4
So the answer is 13 3/4 although technically, you'll need a board that's longer since the kerf for a saw blade is greater than 0 ( a typical saw kerf is from 1/16" to 1/8" so in reality Philly and Boston will need a board about 1/2" longer than the minimum.
For the second problem, subtract the start time from the end time for each days to figure out how many hours Allison worked each day. Then sum up the hours to get the total time Allison worked. For this problem, it's easier to convert AM/PM times to 24 hour time. Basically, keep the AM times the same and add 12 hours to the PM times. So
5:13 PM - 8:03 AM = 17:13 - 8:03 = 9:10
4:49 PM - 7:58 AM = 16:49 - 7:58 = 8:51
4:41 PM - 7:46 AM = 16:41 - 7:46 = 8:55
4:50 PM - 8:23 AM = 16:50 - 8:23 = 8:27
4:32 PM - 7:31 AM = 16:32 - 7:31 = 9:01
Now add up the hours and minutes:
9:10 + 8:51 + 8:55 + 8:27 + 9:01 = 42:144
Since you can't have 144 minutes, divide the minutes by 60 to get hours and add the whole hours to the hours and the remainder will be the minutes.
144 / 60 = 2, remainder 24
So your time worked becomes
44:24 which is 44 + 24/60 = 44.4 hours.
Since 44.4 isn't one of the available answers to pick from, I'd recommend talking to your teacher about the error in the problem.</span>
Step-by-step explanation:
2
57
65
566
77788
66777
66788
67899
6789
78899
789999
88889
8888888
788889
888888999999999
Answer:
18
Step-by-step explanation:
