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babunello [35]
2 years ago
14

Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole num

ber. A populaton of 330 animals that decreases at an annual rate of 22%.
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
5 0

Answer:

Results are below.

Step-by-step explanation:

<u>First, we need to establish the decrease function in the given population:</u>

FV= PV/(1+g)^n

FV= future value

PV= present value

g= decrease rate

n= number of periods

<u>Now, for the given information:</u>

<u></u>

PV= 330

g= 22% = 0.22

n= 5 years

FV= 330 / (1.22)^5

FV= 122

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I'm assuming your teacher wants you to calculate the speed

1/2 = 0.5

3 & 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5

If a plane flies 840 miles in 3.5 hours, then,

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speed = (840 mi)/(3.5 hr)

speed = (840/3.5) mph

speed = 240 mph

<h3>Answer: 240 mph</h3>
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2 years ago
The perimeter of a right triangle is 24 ft, and one of its legs measures 6 ft. Find the length of the other leg and the hypotenu
Mrrafil [7]

Answer:

Step-by-step explanation:

We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).

By pythagoras we know that

h^2= a^2+b^2.

and the perimeter is P=h+a+b.

Since P=24 and a=6  we have these equations:

h^2=36+b^2\\24=h+6+b

From the last equation we have h=18-b. Replace h in the first equation we get that

(18-b)^2=36+b^2

18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8

and h=18-8=10

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2 years ago
Graph the equation using the slope and y-intercept <br> y = 2x - 4
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8 0
3 years ago
Read 2 more answers
Jasmine took a cab home from her office.the cab charged a flat fee of $4 plus $3 per mile jasmine $32 for the tip. how far does
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3 years ago
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a r
alexira [117]

Answer: The probability is P = 0.056

Step-by-step explanation:

The invited ones are:

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia

So we have a total of 10 persons.

The case where Xerxes arrives first and Regina arrives last is:

We have 10 slots, each slot corresponds to who arrived in which time.

For the first slot we have only one option, this is Xeres.

For the next slot we have 8 options (because Xeres already arrived, and Regina must arrive at last)

For the next slot we have 7 options.

for the next one we have 6 options, and so on.

So the combinations are:

C = 1*8*7*6*5*4*3*2*1*1 = 40320

Now, the total number of combinations is:

for the first slot we have 10 options, for the second we have 9 options and so on.

c = 10*9*8*7*6*5*4*3*2*1 = 725760

The probability is the combinations where Xerxes arrives first and Regina rrives last divided the total number of probabilities.

P = C/c = 0.056

7 0
3 years ago
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