The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes. Part A On Monday, t
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a) Marked price: $884, Cost: $680
b) 2.5 %
Step-by-step explanation:
a)
Let's call:
P = marked price of the oven
C = cost of the oven
We know that:
- The marked price of the oven is 30% above the cost, which means
(1)
- In the sale, the oven is sold at a discount of 25% on its marked price; so the price of the sale is (we call it S)
(2)
- We also know that the discount, which is the difference between the makerd price (P) and the discounted price (S) is
(3)
Substituting (2) into (3) we find marked price
Therefore, the cost of the oven is (from eq(1)):
b)
The percentage loss in this situation is given by the difference between cost of the oven and the final price at which the oven is sold.
In this case, we have:
C = $680 (cost of the oven)
The discounted prices is S, and can be f ound using eq(3):
Therefore, the oven costs 680$ but it is sold at 663$.
Therefore, we can calculate the percentage loss using the equation:
So, a percentage loss of 2.5%.
Equation: L= -0.5D+34.
The water level be 26 feet in 16 days.
<u>Step-by-step explanation:</u>
Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).
The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.
⇒m= -0.5.
The line equation is y = mx+c. Let us rewrite as L= mD+c.
Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.
⇒L= (-0.5)D+c.
To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.
34= (-0.5)(0)+c.
c=34.
∴L= (-0.5)D+34.
To find the days when the water achieves level as 26 feet:
26 = (-0.5)D+34.
26-34= (-0.5)D.
-8 = (-0.5)D.
D= .
D= 16.