It’s B because it’s the right answer
Answer:
The process of calculating successive discounts of 8% and 10% on a $50 item is take 10% of $46.
Step-by-step explanation:
As given
successive discounts of 8% and 10% on a $50 item .
First find out for 8 % discount
8% is written in the decimal form
= 0.08
8 % of $50 item = 0.08 × 50
= $ 4
Price of item after 8% discount = 50 - 4
= $46
First find out for 10 % discount
10% is written in the decimal form
= 0.1
8 % of $48 item = 0.1× 46
= $4.6
Price of item after 8% discount = 46 - 4.6
= $41.4
Therefore in the successive discounts of 8% and 10% on a $50 item is $41.4 .
Answer:
Step-by-step explanation:
Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
