Respuesta :
The total cost of the antique clock that Janice bought is $927.82 approximately.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we have:
- Original price of clock = $967
- Sale discount = 5% on original price
- 1% sales tax on the discounted price
Total cost = (discounted price of clock)'s price + sales tax of discounted price.
Let d = discounted price of the clock
Then, we have:
[tex]d = $967 - \text{5\% discount on 967} \\\\d = 967 - \dfrac{967}{100} \times 5 = \$918.65[/tex]
1% sales tax on 'd' will be: [tex]\dfrac{d}{100} \times 1 = \$9.1865 \approx \$9.19[/tex]
Thus, we get:
Total cost of the clock ≈ 918.65 + 9.19 = 927.82 (in dollars)
Thus, the total cost of the antique clock that Janice bought is $927.82 approximately.
Learn more about percent here:
https://brainly.com/question/11549320