Answer:

Step-by-step explanation:
hope it helps brainliest pls
Answer:
25%
Step-by-step explanation:
The average cost of the automobile in 2013 is $16,000
The present cost now is $20,000
Therefore the rate of increase between the two automobiles can be calculated as follows
= 20,000-16,000/16,000
= 4,000/16,000
= 0.25×100
= 25%
Hence the rate of increase is 25%
<h3>
Answer: C. 3/10</h3>
A terminating decimal only happens when the fraction has a denominator with factors of 2 and/or 5. No other factors are allowed (other than 1).
Something like 1/12 has the denominator 12 with factors 2*2*3. That '3' means we won't have a terminating decimal. Similarly, the fractions 2/9 and 2/3 won't convert to a terminating decimal either.
3/10 on the other hand does convert to a terminating decimal and 3/10 = 0.3
Answer:
Δy = 0.822
dy = 0.6
Step-by-step explanation:
Let us use the rules:
If f(x) = y, then
- dy = f'(x) . dx
- Δy = f(x + Δx) - f(x)
∵ 
- Differentiate it (remember the differentiation of
is
∴ 
∴ 
∵ dy = y' . dx
∴ 
∵ x = 0
∵ dx = Δx
∵ Δx = 0.6
∴ dx = 0.6
- Substitute x by 0 and dx by 0.6 in y'
∴ 
- Remember any number to the power of 0 is 1 except 0
∵
= 1
∴ dy = 0.6
∵ Δy = f(x + Δx) - f(x)
∵ x = 0
- Substitute x by
∴ f(0) = 
∴ f(0) = 1
∵ Δx = 0.6
∵ x + Δx = 0 + 0.6
∴ x + Δx = 0.6
- Substitute x by 0.6
∴ f(0.6) = 
∴ f(0.6) = 1.8221188
∵ Δy = f(0.6) - f(0)
∴ Δy = 1.8221188 - 1
∴ Δy = 0.8221188
- Round it to the nearest 3 decimal places
∴ Δy = 0.822
Answer:
$45.58
Step-by-step explanation:
Divide 12 by 2 to get the price of the shirt that's half off which is 6. Then add the total of the two shirts which is 6 + 12 to get 18, and also add the price of the pants which is $25. So 18 + 25 is 43. Then multiply 43 by the sales tax of 6%. Change the equation to 43 multiplied by 0.06 and u get 2.58. Add the total plus the tax and u get an answer of 45.58.