mimithurmond03
02.06.2020 •
Mathematics
A new automobile is purchased for $20,000. If V = 2,000(0.8) x , gives the car's value after x years, about how long will it take for the car to be worth $820?
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Ответ:
It will take 4 years
Step-by-step explanation:
Here, given the exponential equation that approximates the cost of a car after a certain amount of time, we are tasked with calculating the amount of time it will take to be worth a certain amount.
The exponential equation that approximates the cost of the car is given as;
V = 2,000(0.8)^x
Now, our V = 820 but we want to calculate x which gives the number of years. Substituting this value of V, we get;
820 = 2000(0.8)^x
divide through by 2000
0.41 = 0.8^x
Take the log of both sides
log 0.41 = log 0.8^x
log 0.41 = xlog 0.8
x = log 0.41/log 0.8
x = 3.99 which is approximately 4 years
Ответ:
5 cups of walnuts are needed.
Step-by-step explanation:
This question can be solved using a rule of three.
One batch of walnut muffins uses 1 1/3 cups of walnuts.
So one batch of walnut muffins uses cups of walnuts.
How many cups of walnuts are needed to make 3 3/4 batches of muffins?
How many cups are required for batches.
1 batch - (4/3) cups
(15/4) batches - x cups
5 cups of walnuts are needed.