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Nikitich [7]
3 years ago
13

PLZ HELPPP

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

5 dollars more

Step-by-step explanation:

Right now, Jake is using a material that gives him 27 dollars of profit per deck.  If he switches to a new material, the profit that he gets is expressed by the function y = 32x. To make this a bit easier to understand, let's switch out y and x for some easier words.

profit = (number sold)*32

This function shows that for each deck with the new material, Jake will get 32 dollars profit. Since the question asks for how many more dollars, we can get the answer by

32 - 27 = 5.

If you still don't understand it, you can think of his old material in a function too:

y = 27x or profit = (number sold) * 27.

Comparing that one with the one above with the new material, we can tell that 32 represents the profit per deck.

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Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
8 0
3 years ago
Read 2 more answers
Find f(2) if f(x) = (x + 1)2<br> a 9<br> b 6 <br> c 5
viktelen [127]

Answer:

B.6

Step-by-step explanation:

f(2)=(2+1)2

=(3) 2

=6

4 0
2 years ago
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.
igomit [66]
Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.

If we’re considering speed regardless of direction, the average speed is:

(24 + 16) / 2 = 40 / 2 = 20mph

However if direction matters, then one number has to be negative since the directions are opposite:

(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)

Depending on the context, either of these could be your answer.
7 0
2 years ago
Read 2 more answers
Find the total cost if tools plus company makes 210 drills
Serggg [28]
How unspecific? What's the cost of one
6 0
3 years ago
How do you solve -2(6x+3)=-27–5x ?
kvasek [131]
Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)
8 0
3 years ago
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