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wel
3 years ago
5

Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0

Answer250

Step-by-step explanation:

Olenka [21]3 years ago
5 0
Original price = x
x - .2x = 200  ← original price - discount amount = sale price
.8x = 200     ← 1x - 0.2x = .8x
x = 250      ← divided both sides by .8

The original price was $250
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Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be
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Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

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dA/(L - Ak) = dt

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∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt}      (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k}  - \frac{C"}{k} e^{kt}

When t = 0, A(0) = 0 (since the forest floor is initially clear)

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when t = 0(at initial time), the initial value of D =

D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}

4 0
3 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

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