Answer: y = 6280(0.87)^x
Step-by-step explanation:
If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the value of the office equipment after t years.
x represents the number of years.
b represents the initial value of the office equipment.
r represents rate of decay.
From the information given,
y = $628
r = 13% = 13/100 = 0.13
Therefore, the equation that represents the value of the equipment after x years is
y = 6280(1 - 0.13)^x
y = 6280(0.87)^x
They would sell the candy for 2 dollars and 30 cents
On hypotenuse of the triangle .
Right bisectors of the sides of a right triangle triangle meet hypotenuse.
According to the Pythagorean theorem, the square of the hypotenuse (the longest side) of a right-angled triangle equals to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, which equals to the distance between the bottom of the ladder and the tree + the distance we want to find (x):
5² + x² = 13²
25 + x² = 169
x² = 144
x = √144 = 12.
The distance between the ground and the top of the ladder is 12 ft.
Answer:
196: 9.8
20: 1
x= 9.8 meters in 1 second
Step-by-step explanation:
This can be determined by following writing equal ratios that represent a word problem. Then, the denominator must be divided from the numerator to get the unit rate/ meters per second.
