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2 years ago

13

Suppose 15 animals are taken to an island, and then their population triples every 8 months. How many animals will there be in 4

years?

1 answer:

Dafna1 [17]2 years ago

3 0

F(x)= 15*3^x; 10,935 animals

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What are the vertical asymptotes of the function f(x) = the quantity of 4x plus 8, all over x squared plus 3x minus 4? plz answe

kolezko [41]

Answer:

x=1 and x=-4

Step-by-step explanation:

Put it into your calculator, go to graph and look at which points it says ERROR.

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Two entertainment venues are planning to expand the size of their audiences and each has decided on the rate at which it can inc

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Let us see... ideally we would like to have all equations with the same exponent or the same base so that we can compare the rates. Since the unknown is in the exponent, we have to work with them. In general, $x^(y/z)= \sqrt[z]{x^y}$ .
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*( $\sqrt[5]{1.45} ^t$ )=250*(1.077)^t
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.

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Find the volume of the solid bounded above by the plane z = y + 8, below by the xy-plane, and on the sides by the circular cylin

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The solution is shown below

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2 years ago

Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. Sheldon combines an amount of the two cereals in a single bowl of mi

almond37 [142]

Answer:

There are 4 ounces of Fiber X cereal in the mix

Step-by-step explanation:

Lets n be the amount of ounces of Fiber X in the mix. Since there are a total of 12 ounces in the mix, then, on terms of n, there are 12-n ounces of Fiber Max on it.

Since 65% of the mix is Fiber, then there are 12*0.65 = 7.8 ounces of Fiber. We can also obtain this value if we take the proportions of Fiber in each cereal of the mix (in terms of n), so that we can obtain the true value of n

we have

7.8 = n *0.55 + (12-n)*0.7 = 0.55n + 8.4 -0.7 n = 8.4-0.15n

Therefore

0.15 n = 0.6

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As a consecuence, there are 4 ouces of Fiber X cereal in the mix.

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2 years ago

11. The sales tax rate is 6.9%

Norma-Jean [14]

Answer:

40.1%

Step-by-step explanation:

I am assuming that 192 is in 100%.

100% = 192

I then represent the value that we are looking for with $x$ .

x% = 77

By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).

$\frac{100}{x} = \frac{77}{192}$

Now, of course, we take the reciprocal, or inverse, of both sides:

$\frac{x}{100} = \frac{7}{192}$

x = 40.1%

Thus making the answer: 40.1% of 192 is 77.

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2 years ago