f(x) = x + 1/x
f(1 + 3i), lets just sub x by 1 + 3i
f(1 + 3i) = 1 + 3i + 1/(1 + 3i)
Doing the sum (1 + 3i) + 1/(1 + 3i) we get ((1 + 3i)² + 1)/(1 + 3i)
So:
f(1 + 3i) = (1 + 2.1.3i + 9i² + 1)/(1 + 3i)
f(1 + 3i) = (6i - 7)/(1 + 3i)
f(1 + 3i) = 11/10 + 27i/10
Answer:
FV= $95,454.20
Step-by-step explanation:
Giving the following information:
Annual deposit= $2,000
Number of periods= 25 years
Interest rate= 5% compounded annually
<u>To calculate the future value of the annual deposits, we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {2,000*[(1.05^25) - 1]} / 0.05
FV= $95,454.20
I pretty sure the answer would be B :)
Answer:
3/4 or 0.75 decimal
Step-by-step explanation:
Simplify the following:
(2/3)/(8/9)
Hint: | Write (2/3)/(8/9) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2/3)/(8/9) = 2/3×9/8:
(2×9)/(3×8)
Hint: | In (2×9)/(3×8), divide 9 in the numerator by 3 in the denominator.
9/3 = (3×3)/3 = 3:
(2×3)/8
Hint: | In (2×3)/8, divide 8 in the denominator by 2 in the numerator.
2/8 = 2/(2×4) = 1/4:
Answer: 3/4
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
Step-by-step explanation:
Step 1 :
The fixed charges for the pick up = $3
Charges per mile = $1.50
Let s denote the total miles driven and t be the total cost for the trip
This can be represented by the equation
t = 3 + 1.5s
Step 2:
Distance traveled by Jonathan in his trip = 10 miles
So cost for riding 10 miles is
t = 3 + 1.5(10) = 3 + 15 = $18
The cost for 10 mile taxi ride is $18
Step 3 :
If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3
Step 4 :
Answer :
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
