The total amount due in the future (F) for the current loan (P) with compound interest (i) is calculated through the equation,
F = P x (1 + i)^n
where n is the number of years. Substitute to the equation, the values given above,
F = ($500) x (1 + 0.04)^5 = $608.326
Thus, Jenny would pay approximately $608.326.
The answers are 1) D. 43 items and 2) B. 58 seconds.
Step-by-step explanation:
Step 1; An experienced cashier takes a time of 2 seconds per item and another 40 seconds for processing the customer's payment. So if it took 2 minutes 6 seconds which equals ( 2× 60 ) + 6 = 126 seconds for a customer. Out of these 126 seconds, the last 40 seconds were to process the customer's payment so 126 seconds - 40 seconds = 86 seconds. So it took 86 seconds to scan the items and as it takes 2 seconds per item we divide 86 by 2 to get the number of items. So 86 / 2 = 43 items which is option D.
Step 2; Anna brought 31 items and due to some glitch, the total time took 2 minutes. So for 31 items, it took the cashier 31 × 2 = 62 seconds, 1 minute 2 seconds. So out of the 2 minutes, 1 minute 2 seconds were used to scan the items. So the remaining time was 2 minutes (120 seconds) - 1 minute 2 seconds (62 seconds) = 58 seconds which was the processing time. So option B is the answer.
Answer: 
Step-by-step explanation:
Given
A plane has traveled 26 miles on a course heading 
east of north
Taking the component of travel in North direction
The distance traveled in North is given by with the help of figure
Answer: an adult ticket cost $8 and a student ticket cost $4
Step-by-step explanation:
Let x represent the cost of one student ticket.
Let y represent the cost of one adult ticket.
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that
132x + 64y = 1040 - - - - - - - - - -1
An adult ticket costs twice as much as a student ticket. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
132x + 64 × 2x = 1040
132x + 128x = 1040
260x = 1040
x = 1040/260 = 4
y = 2x = 2 × 4
y = 8
Comment
There are 4 terms in this series
That's because the summation (Sigma) goes from 3 to 6 inclusive. So k takes on values of 3,4,5,6
You could use this summation formula
Formula
Sum = (a + L)n/2
Substitution
a is the first term.
k = 3 for the first term
a = -5k + 20
a = -5(3) + 20
a = -15 + 20
a = 5
For the last term k = 6
L = -5(6) + 20
L = -30 + 20
L = - 10
Sum
Sum = (5 - 10)*4/2
Sum = -5 * 2
Sum = -10
Comment
You may wonder how come the last term and the sum are the same. The reason to be found by figuring out the 4 terms and adding them together.
When k = 3, -5k + 20 = -15 + 20 = 5
When k = 4, -5k + 20 = -20 + 20 = 0
When k = 5, -5k + 20 = -25 + 20 = -5
When k = 6, -5k + 20 = -30 + 20 = -10
Sum = 5 + 0 - 5 - 10 = - 10
Conclusion.
It is an accident of the numbers.
Answer: - 10 = the Sum
