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Whitepunk [10]
3 years ago
12

The economy moves from point a, where it produces 100 units of x and 200 units of y, to point b, where it produces 200 units of

x and 150 units of y. It follows that
Mathematics
2 answers:
nalin [4]3 years ago
8 0

200 units of x and 150 units

BabaBlast [244]3 years ago
6 0

200 units of x and 150 units

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A large carton of milk is 72 ounces. How
agasfer [191]

Answer: not here!

Step-by-step explanation: 72 ounces is 9 cups! (Divide by 8) (Assuming you mean US cups)

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2 years ago
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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
11 months ago
Solve the equation 1.5y < -6.75
finlep [7]
1.5y < -6.75

First, divide both sides by '1.5'.
\frac{-6.5}{1.5}
Second, since 4.5 × 1.5 = 6.5, simplify the fraction to '-4.5'
y \ \textless \  -4.5

Answer: y < -4.5

7 0
2 years ago
Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks o
Serjik [45]

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since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes

3 0
3 years ago
Please Graph (-2, 0.75)
kozerog [31]

Answer:

It won't allow me to put in a link for the graph but on a graph it would of course be at -2 on the x-axis, but you would go only 3/4 the way to one so it'll be right under 1 on the y-axis

Step-by-step explanation:

3 0
3 years ago
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