Answer:
i = 7.5
Step-by-step explanation:
(5-3i)+(10+5i)
(5+10)+(5i-3i)
15+2i
15=-2i
15/2-i
7.5=i
Answer:
the correct answers are 22 and 8
Given:
- The principal amount that Amy opened her savings account with is $1750.
- The rate of simple interest compounded annually is 4.3%.
- The time period for which we calculate the new balance is 6 months.
To Find:
The balance after 6 months.
Answer:
The balance after 6 months will be $1787.625
Step-by-step explanation:
The principal amount that Amy opened her savings account with is $1750. We can denote this by P.
The rate of simple interest compounded annually is 4.3% which we may denote by R.
The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).
The amount of money accrued from the interest can be calculated by the formula

Putting in the values given in the question, we have

The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.
Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.
Answer:
53.2 mph
Step-by-step explanation:
Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.
1:40 p.m. is 13:40.
Thus, they traveled for
13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes
that is hours.
Use formula:
where
D = distance
r = rate
t = time.
In your case,
D = 239.4 miles
t = 4.5 hours
Answer:
Side FE < Side DE < Side DF
Step-by-step explanation:
Side FE < Side DE < Side DF are in ascending order. Side FE is the shortest because it is opposite the smallest angle (47 degrees).