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3 years ago

10-ounce package of cashews costs $5.11, and a 16-ounce package of cashews costs $10. Which packages is the better deal

Mathematics

1 answer:

4vir4ik [10]3 years ago

3 0

Answer: The 10-ounce for $5.11

Step-by-step explanation:

5.11/10 = 0.51

10/16 = 0.63

The smaller the unit price, the better deal it is.

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AlekseyPX

Answer:

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Step-by-step explanation:

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4 years ago

The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t

wolverine [178]

Answer:

a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

b) The general equation is $N = 725 - C e^{-kt}$

c) The particular equation is $N = 725 - 325 e^{-0.49t}$

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

Integrating both sides of the equation

$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$

When t = 0, N = 400

$400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325$

When t = 3, N = 650

$650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49$

The equation for the population becomes:

$N = 725 - 325 e^{-0.49t}$

At t = 5, the population becomes:

$N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697$

N(5) = 700 ( to the nearest 50)

6 0

3 years ago

Solve for x. −32>−5+9x Enter your answer, as an inequality, in the box.

Elan Coil [88]

+5 to both sides
9x<-27
divide both sides by 9
x<-3

4 0

3 years ago

Solve for x: 2 over 5 (x − 4) = 2x. −8 negative 1 over 2 1 −1

vlabodo [156]

2/5(x - 4) = 2x
2/5x - 8/5 = 2x....multiply everything by 5
2x - 8 = 10x
-8 = 10x - 2x
-8 = 8x
-8/8 = x
-1 = x <===

5 0

3 years ago

The price of a cup of coffee was 2:40 yesterday today it Rose 265 find the percentage increase

Anni [7]

N.B. I believe your question is saying that the price of a cup of coffee was $2.40 yesterday, and it rose to $2.65 today. Therefore, I will solve with these prices.

The percent increase is 10.41666666% (The 6 is repeating.).

First, you find the difference, or increase, between the two prices.

New price - Old price = Increase

$2.65 - $2.40 = $0.25

The difference between the two prices is $0.25. To find the percent increase, you want to divide the original price ($2.40) from the increase ($0.25) and multiply by 100.

Increase ÷ Original Price × 100 = % increase

0.25 ÷ 2.40 × 100 = 10.41666666%

The percent increase is 10.41666666% (The 6 is repeating.).

6 0

4 years ago