Answer: 24 years
Step-by-step explanation:
Based on the information given, we've been given,
Principal = #250
Interest = #120
Interest rate = 2%
Time = Unknown
Interest = PRT/100
120 = (250 × 2 × Time)
Cross multiply
120 × 100 = (250 × 2 × T)
12000 = 500T
Time = 12000/500
Time = 24
It will take 24 years.
Answer:
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Step-by-step explanation:
- Direct proportion means that two quantities increase or decrease in the same ratio
- If y is directly proportional to x (y ∝ x) , then
<em>OR</em> y = k x, where k is the constant of proportionality
∵ The stopping distance d of an automobile is directly
proportional to the square of its speed s
- That means d ∝ s²
∴ 
∵ A car requires 75 feet to stop from a speed of 30 miles per hour
∴ d = 75 feet
∴ s = 30 miles/hour
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour
∵ The car require to stop from a speed of 48 miles per hour
on the same road
- Change the mile to feet
∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour
∵ 
- Substitute the values of
by 75 feet,
by 158400 feet/hour
and
by 253440 feet/hour
∴ 
∴ 
- By using cross multiplication
∴ 25 ×
= 75 × 64
- Divide both sides by 25
∴
= 192 feet
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Answer:C
Step-by-step explanation:
Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C
<h3>Answer:</h3>
F (3x, 3y)
<h3>Explanation:</h3>
Dilation about the origin multiplies each coordinate by the dilation factor. For some coordinates (x, y), dilation by a factor of 3 means the new coordinates are ...
... 3×(x, y) = (3x, 3y)
_____
<em>Comment on the problem</em>
The way the problem is worded, you expect an answer choice that will be specific to the coordinates of point A. There are none.
Instead, the answer choices are generic, corresponding to dilation of a point (x, y) by a factor of 3, translation up and to the right by 3, dilation by a factor of 1/3, and translation down and to the left by 3.
Answer:
Step-by-step explanation:
y - 5 = -8(x - 1)
y - 5 = -8x + 8
y = -8x + 13