Detailed explanation:
Question 4 provides clear information,
thus resolving Question 4:
1 euro equals $1.17.
Consequently, €20.46 is calculated as 20.46 multiplied by 1.17, which equals $23.93.
1 pound equals $1.28.
Thus, £12.60 translates to 12.60 multiplied by 1.28, yielding $16.128.
Therefore, the MP3 in pounds is $7.81 cheaper in dollars.
Answer and Detailed Explanation:
Below is the response provided
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice's formula is applicable for any t > 0 minutes, while Briana’s is only applicable when
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They complete the race when their total distance equals 5 kilometers. For Alice:
t/4 = 5
t = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 25
2t = 26
t = 13 minutes
c. They reach the same point when they have traveled the same distance, expressed as:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using the quadratic formula:
Only the second solution fits this scenario because the race concluded before they took 31.49 minutes.
He rents the car for d days, but receives two days at no cost, meaning he only needs to pay for d - 2 days.
Each day's rental costs $45, so for d - 2 days, the cost is 45(d - 2). The total expenditure amounts to $315, leading to the equation
45(d - 2) = 315
Now, let's solve for d, the number of days rented.
45(d - 2) = 315
45d - 90 = 315
45d = 405
d = 9
He rented the car for 9 days.
A geometric sequence models the bounce heights:
Use the formula
A (subscript n) = Ar(n-1)
a = the first-term value
n = the index of the term you want (for the fourth peak, n = 4)
r = common ratio, found by dividing the second term by the first
Here r = 18/27 = 2/3 because 27×(2/3) = 18, and similarly 18×(2/3) = 12
For the fourth peak n = 4
Compute: 4th term = 27(2/3)^(4-1) = 8
Therefore the height at the fourth peak is 8
