Answer: the store paid $18.3 for the sweater
Step-by-step explanation:
Let x represent the amount that the store paid for the sweater.
A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be
7.35 + x
The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be
7.35 + x = 25.65
Subtracting 7.35 from the left hand side and the right hand side of the equation, it becomes
7.35 + x - 7.35 = 25.65 - 7.35
x = $18.3
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
Answer:
7 1/6
Step-by-step explanation:
Answer:
<h3>60°</h3>
Step-by-step explanation:
Given that:
- Circumference (C) = 6 units
- Arc length (A) = 1 unit
<u>Find the central angle (</u><u>θ</u><u>)</u>
Arc is some part of circumference; thus,
the equation of arc length =
A = θ/360 × C
θ/360 = A/C
θ = (360×A)/C
θ = (360×1)/6
θ = 360 ÷ 6
<h3>θ = 60° ✅</h3>
Central angle = 60°
______________
#IndonesianPride
- kexcvi
Answer: 4.2 cups
Step-by-step explanation: 63 divided by 15=4.2
