Answer:
n-4(32.5) > 300;n > 430
Step-by-step explanation:
Simplify: 300 = 4n - 130
Add 130 to each side. 430 = 4n
Divide by 4 on each side: 107.50= n
300 = 4(107.50) - 130? True
This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.
Answer:
J is the answer ............
Given that the<span> iq scores for large populations are centered at 100.
To get what percent of these 78 students have scores above 100 we conduct a normal distribution probability of the data.
P(x > 100) = P(z > (100 - 100)/sd) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 0.5 = 50%
</span>
For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C
For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D
<h3 /><h3>What is a right angle triangle?</h3>
A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).
Part A
To calculate the height of the pole in the right angle triangle, we use the formula below.
Formula:
From the diagram,
Given:
- ∅ = 41°
- Opposite = Height of the pole = P
- Adjacent = 34 ft
Substitute these values into equation 1 and solve for P
- tan41° = P/34
- P = 34×tan41°
- P = 29.55
- P ≈ 30 ft
Part B
Similarly, fine the length of wire 1, we use the formula below.
Formula:
- cos∅ = Adjacent/Hypotenus.......... Equation 2
From the diagram,
Given:
- Hypotenus = Wire 1 = x
- ∅ = 41°
- Adjacent = 34 ft
Substitute these values into equation 2 and solve for x
- cos41° = 34/x
- x = 34/cos41°
- x = 45.05
- x ≈ 45 ft
Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.
Learn more about right angle triangle here: brainly.com/question/64787
#SPJ1
Answer:
- payment: $637.30
- 5-year balance: $78,505.48
- 10-year balance: $58,991.59
Step-by-step explanation:
1. The relevant formula for computing the monthly payment A from principal P and interest rate r for loan of t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
Filling in the numbers and doing the arithmetic, we get ...
A = $93,411(0.054/12)/(1 -(1 +0.054.12)^-(12·20)) ≈ $637.30
__
2. The relevant formula for computing the remaining balance after n payments of amount p on principal P at interest rate r is ...
A = P(1 +r/12)^n -p((1 +r/12)^n -1)/(r/12)
Filling in the given values and doing the arithmetic, we get ...
A = $93,411(1.0045^60) -637.30(1.0045^60 -1)/(0.0045) ≈ $78,505.48
__
3. The same formula with n=120 gives ...
A = $93,411(1.0045^120) -637.30(1.0045^120 -1)/(0.0045) ≈ $58,991.59
