Answer:
The correct answer is:
- <u>30 = 10 + 3(h - 2)</u>
<u>30 = 10 + 3h - 6</u>
<u>26 = 3h</u>
<u>h = 8.67</u>
Step-by-step explanation:
We're gonna calculate by our part the hours a new costumer can rent a bike and pay a total of $30, using the original function:
Where:
- <em>f (h) = Total cost.
</em>
- <em>h = the number of hours.</em>
We know The total money spent must be $30, by this reason, the function change to:
- <u>30 = 10 + 3(h - 2)</u>
Now, we must clear the h variable, by this reason, we multiply 3 by h and 2:
- 30 = 10 + 3*h - 3*2
- <u>30 = 10 + 3h - 6</u>
We pass the 10 and the -6 to the left side of the equality:
- 30 - 10 + 6 = 3h (Remember to change the signs when you do this step)
- <u>26 = 3h</u>
Finally, we pass the 3 to the left side of the equality:
26 / 3 = h (the 3 pass to divide because is multiplying the x)
If we just use two decimals, the number of hours is:
How the third option is the one that shows this calculation and result, that is the correct answer.
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200
Answer:
The equation of the line parallel to the x-axis is y = k, where 'k' is any real number. For example, considering the equation of a line, y = 2, for any value of 'x' the value of 'y' is always equal to 2.
Step-by-step explanation:
can u maybe write the full question?
