Answer:
B. cost(time)
Step-by-step explanation:
In the information given above, you can eliminate choices "A," and "D," since they're just using the cost of a repair and the time the mechanic works. This leaves us with either "B," or "C." The correct answer is "B," because the cost of the repair depends on whatever is inside the parenthesis (the time).
Step-by-step explanation:
s = -4.9t² + 49t
The vertex of the parabola is at t = -b/(2a).
t = -49 / (2 × -4.9)
t = 5
The rocket reaches its maximum height after 5 seconds.
D. -48
Put it into your calculator exactly how it is shown up above and you will get the correct answer. Your calculator automatically knows the order of operations.
Answer: $58,088.57
Step-by-step explanation:
The investment is compounded weekly so you need to change the parameters of the equation to a weekly figure:
Interest rate is yearly so:
= 3.75%/52
= 3.75/52% per week
Number of periods is 4 years so:
= 4 * 52
= 208 weeks
Future value in 4 years is:
= 50,000 * ( 1 + 3.75/52%)²⁰⁸
= $58,088.57
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
