Answer:
see explanation
Step-by-step explanation:
Given
y - 3x = 18
To find the y- intercept let x = 0 in the equation and solve for y
y - 3(0) = 18
y - 0 = 18
y = 18 ⇒ (0,18 ) ← y - intercept
To find the x- intercept let y = 0 in the equation and solve for x
0 - 3x = 18
- 3x = 18 ( divide both sides by - 3 )
x = - 6 ⇒ (- 6, 0 ) ← x- intercept
Answer:
The Amount of money in the account after 28 years is $616,674.5
Step-by-step explanation:
Given as :
The principal amount placed in the account = p = $67,000
The rate of interest = r = 8.25%
The time period of amount in the account = t = 28
Let the Amount of money in the account = $A
Now<u>, From Compound Interest method</u>
Amount = Principal × 
A = p × 
Or, A = $67,000 × 
Or, A = $67,000 × 
Or, A = $67,000 × 9.2041
∴ A = $616,674.7
So, The Amount of money in the account = A = $616,674.5
Hence, The Amount of money in the account after 28 years is $616,674.5 Answer
Answer:
87.73 inches
Step-by-step explanation:
We are given that the dimensions of the rectangular doorway are,
Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.
Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.
i.e. 
i.e. 
i.e. 
i.e. 
i.e. Hypotenuse = ±87.73 inches
Since, the length cannot be negative.
So, the length of the diagonal is 87.73 inches.
As, the largest side of a rectangle is represented by the diagonal.
So, the largest dimension that will fit through the doorway without bending is 87.73 inches.
The last one is the only one that will work.
For the first one the y intercept is when x = 0. The point would be 0,4
The second one gives a point of (4,0)
The third one is nonsense. (4,4) is not on this line.
Answer:
3 bulbs should be flawed
Step-by-step explanation:
2+ 18 = 20
20 bulbs were examined
2/20 = 1/10 were flawed
looking at the next 30 bulbs
30 * 1/10 = 3
3 of the next 30 bulbs should be flawed