Answer:
110 + 10x ; 40x
4
Step-by-step explanation:
Given that:
For every visit to Arts museum:
Scenario 1:
Parking fee = $15
Admission fee = $25
Total amount for scenario 1:
If number of visits = x
Total cost = $(15 + 25) × number of visits
Total cost : $40x
With membership :
Price of membership = $110 (one time payment)
Parking fee = $10
Admission fee = $0
Let number of visits = x
Total cost :
Membership fee + (parking fee × number of visits)
$110 + ($10 * x)
= 110 + 10x
B) number of visits for which member cost is less than non-member cost :
Member cost = 110 + 10x
Non member cost = 40x
110 + 10x < 40x
10x - 40x < 110
-30x < 110
x > 3.67
Hence x = 4
Number of visits for which member cost is greater than non member cost is 4
The correct answer is 15:25
Answer:
M = 1/0.000121 = 8264.5 years
Step-by-step explanation:
M = − k ∫∞₀ teᵏᵗdt
To obtain this mean life, we'll use integration by parts to integrate the function ∫ teᵏᵗdt
∫udv = uv - ∫ vdu
u = t
du/dt = 1
du = dt
∫ dv = ∫ eᵏᵗdt
v = eᵏᵗ/k
∫udv = ∫ teᵏᵗdt
uv = teᵏᵗ/k
∫ vdu = eᵏᵗ/k
∫ teᵏᵗdt = (teᵏᵗ/k) - ∫eᵏᵗ/k
But, ∫eᵏᵗ/k = (1/k) ∫eᵏᵗ = (1/k²) eᵏᵗ = eᵏᵗ/k²
∫ teᵏᵗdt = (teᵏᵗ/k) - eᵏᵗ/k²
The rest of the calculation is done on paper in the image attached to this question
It’s the second option counting from top to bottom
Answer:
52 and 38
Step-by-step explanation:
If x = 13 then 4x = 4 * 13 so 52.
Same for the next one. 2x = 2 * 13 so 26. 26+12 is 38.
Done...
