Answer:
Step-by-step explanation:
We are told that P(x) is the profit of saling x blu ray discs. P(1000) is our profit for selling 1000 blu ray discs. So, our profit is 5000. Recall that the derivative P'(x) represents the rate at which the function P(x) is increasing/decreasing (increasing if P'(x) is positive, or decreasing otherwise) by increasing the values of x. In this case P'(1000)=-3, so the profit will decrease -3 if we increase x in one unit.
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
A car dealership pays the sum of $8,350 for a car
The dealer mark up the car price by 17.4%
The retail price = Mark up percentage x original price of the car
Mark up = 17.4%
= 17.4 + 10
= 117.4%
Convert 117.4% to decimal
= 117.4/100
= 1.174
The retail price = $8, 350 x 1.174
= $9,802.90
The retail price of the car is $9,802.90
Answer:
18.9
Step-by-step explanation:
21+(-3)-(-0.9) = 21-3+0.9 = 18+0.9 = 18.9
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