Pythagorean theorem: a²+b²=c²
Where c = length of the hypotenuse (diagonal of a triangle)
60²+40²=c²
3600+1600=c²
5200=c²
c=√5200
c ≈ 72.11 ft
Let t = number of hours
The first candle starts at 8 inches.
It burns at 7/10 inch per hour, so in t hours it burns (7/10)t inches.
After t hours, its length is 8 - (7/10)t
The second candle starts at 6 inches.
It burns at 1/5 inch per hour, so in t hours it burns (1/5)t inches.
After t hours, its length is 6 - (1/5)t
You want the lengths to be equal, so the equation is
8 - (7/10)t = 6 - (1/5)t
Answer:
domain is basically x and range is y, so -2,5 -2 is domain and 5 is range
Step-by-step explanation:
Answer : The rate of depreciation is, $16000
Step-by-step explanation :
Formula used to calculate the rate of depreciation is:
![\text{Depreciation rate}=\frac{\text{Purchase price of asset }+\text{ Salvage value}}{\text{Estimate life of asset}}](https://tex.z-dn.net/?f=%5Ctext%7BDepreciation%20rate%7D%3D%5Cfrac%7B%5Ctext%7BPurchase%20price%20of%20asset%20%7D%2B%5Ctext%7B%20Salvage%20value%7D%7D%7B%5Ctext%7BEstimate%20life%20of%20asset%7D%7D)
Given:
Purchase price of asset = $15000
Salvage value = $7000
Estimate life asset = 3 years
Now put all the given values in the above formula, we get:
![\text{Depreciation rate}=\frac{15000+7000}{5}](https://tex.z-dn.net/?f=%5Ctext%7BDepreciation%20rate%7D%3D%5Cfrac%7B15000%2B7000%7D%7B5%7D)
Deprecation rate = $16000
Therefore, the rate of depreciation is, $16000