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Masja [62]
4 years ago
12

Find the particular solution of the differential equation that satisfies the initial condition. f '(x) = −8x, f(1) = −3

Mathematics
1 answer:
Iteru [2.4K]4 years ago
4 0

Step-by-step explanation:

f(x) = integral (-8x) dx = -4x^2 + C

f(1) = -3 = -4 + C

C = 1

f(x) = -4x^2 + 1

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Shoes cost $80 they are discounted at 40% off.The tax is 6.75%.What is the final cost of the shoes.
Brilliant_brown [7]
You have to turn the percent into a decimal to do the math. 

80 * .40 = 32 (That's the discount.) Now we subtract the orginal price from this.

80 - 32 = 48

Now we need to find the tax value.

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Add this back onto the price to get our final price.

3.24 + 48 = $51.24 
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3 years ago
Tank B has the same volume as tank A the volume of one section of tank B is 45 cubic feet .What is the volume in cubic feet of t
klasskru [66]

Answer:

Volume of the other section of tank B = (A-45)cm³

Step-by-step explanation:

Volume of tank A = Volume of tank B

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8 0
3 years ago
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At an output level of 50 units per day, a firm has average total costs of $60 and average variable costs of $35. Its total fixed
e-lub [12.9K]

Answer:

$ 1250

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output = 50 units per day

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total cost = total fixed cost + total variable cost

total fixed cost = total cost - total variable cost = $ 3000 - $ 1750 = $ 1250

5 0
3 years ago
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100 is 1/10 of what number?
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100 is (1/10) of a thousand.

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