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Contact [7]
3 years ago
14

The population of a deer in a forest was measured to be 1,537 in the year 2010. If the population increased by a steady 4% per y

ear, which of the following calculations would predict its population in 2013
Mathematics
1 answer:
romanna [79]3 years ago
8 0
Hi there
The formula is
P=A (1+r)^t
P population in 2013. ?
A population in 2010 (1537)
R growth rate 0.04
T time 2,013−2,010=3 years
So
P=1,537×(1+0.04)^(3)
P=1,728.9 round your answer to get
P=1729

Hope it helps
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A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shif
omeli [17]

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is \frac{7\pi}{12}. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is y=A\cos(b(x-c))-d, where,

A = Amplitude,

\frac{2\pi}{b} = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is y=\cos(x). Since function is reflected about x-axis, so our function will be y=-\cos(x).

Let us find the value of b.

\frac{2\pi}{b}=\frac{7\pi}{12}

7\pi\cdot b=24\pi

\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}

b=\frac{24}{7}

Upon substituting our given values in general cosine function, we will get:

f(x)=-11\cos(\frac{24}{7}x)-9

Therefore, our required function would be f(x)=-11\cos(\frac{24}{7}x)-9.

7 0
2 years ago
Jay has $8. He wants to buy a book for $7.50. The sails tax is 6%. Does he have enough money?
gizmo_the_mogwai [7]

Yes he does because the final price would be $7.95.

7 0
3 years ago
Read 2 more answers
Given the following data, find the weight that represents the 53rd percentile.
Volgvan

Answer:

Step-by-step explanation:

Rearranging the weights in ascending order, it becomes

5.4, 5.7, 5.7, 5.8, 6.0, 6.6, 7.1, 7.1, 7.5, 7.5, 8.1, 8.7, 9.3, 9.4, 9.4

The formula for determining the percentile is expressed as

n = (P/100)N

Where

n represents the value of the given percentile

P represents the given percentile

N represents the number of items(weights)

From the information given, the number of items, n is 15

P = 53

Therefore,

n = (53/100) × 15

n = 7.95

n = 8

Therefore, the weight that represents the 53rd percentile is the 8th value. It becomes 7.1

53rd percentile is 7.1

3 0
3 years ago
You draw a card at random from a standard deck of 52 cards. Find the following conditional probabilities: a.) The probability th
Levart [38]

Answer:

a.) 1/2 or 50%

b.) 1/1 or 100%

c.) 1/13 or 7.69%

d.) 1/3 or 33.33%

Step-by-step explanation:

a.) The probability that a card is a heart, given that it is red?

There are four suits in a deck, two of which are red: hearts and diamonds. Since the number of hearts and diamonds is the same, the probability of the card being a heart, given that it is red is 1/2 or 50%.

b.) The probability that a card is red, given that it is a heart?

All hearts are red cards, therefore, given the card is a heart, there is a 1/1 or 100% probability that it is red.

c.) The probability that a card is a king, given that it is red?

There are 26 red cards, 2 of which are kings. Therefore, the probability of a card being a king, given that it is red is 1/13 or 7.69%.

d.) The probability is a queen, given that it is a face card?

There are 12 face cards in a deck, 4 of which are queens. Therefore, the probability of a card being a queen, given that it is a face card is 4/12 or 1/3 or 33.33%.

4 0
3 years ago
Determine if the lines are parallel, perpendicular or neither.<br> -2x + y = -4 and -19 - y = 1/2x
LekaFEV [45]
The lines are perpendicular because the slopes are negative reciprocals of eachother.
8 0
2 years ago
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