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kenny6666 [7]
3 years ago
11

There are 50 tree frogs in the botanical gardens at t = 0. The population increases exponentially by 20% per year.

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

A)

f(t) = 50 * 1.2^t

B)

f(3) = 50 * 1.2^3 = 86.4 tree frogs

C)

f(t) = 50 * 1.2^t = 200 --> t = LN(200/50)/LN(1.2) = 7.604 years

D)

f(-1) = 50 * 1.2^(-1) = 41.67 tree frogs

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Answer:

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6 0
3 years ago
Find the circumference and the area of a circle with diameter 8 yd.
elena-14-01-66 [18.8K]

Answers:

area = 50.24 square yards

circumference = 25.12 yards

values are approximate

================================================

Work Shown:

d = 8 is the diameter

r = 4 is the radius, half the diameter

pi = 3.14 approximately

C = 2*pi*r = circumference

C = 2*3.14*4

C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter

An alternative formula you can use is C = pi*d

-------------------

A = area of circle

A = pi*r^2

A = 3.14*4^2

A = 50.24 square yards is the area

8 0
3 years ago
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In the solution of the equation 5 - 3x = 2x + 9, 3x is added to the equation first. Which of the following should be done next?
olganol [36]
<span>In finding the solution for x, the idea is to isolate the variable on one side of the equation
5 - 3x = 2x + 9 |3x is added to the equation first
5 = 5x + 9 | 9 is subtracted from EQ second
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4 0
3 years ago
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How many terms are there in the following expression: 3a + 3ab + 7b – 2c – 4d?
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3 0
3 years ago
Bill spends two days driving from Point A to Point B . On the first day, he drove 2 hours longer and at an average speed 5 miles
Rainbow [258]

Answer:

His average speed on the second day is 35 miles per hour.

Step-by-step explanation:

Consider the provided information.

On first day, he drove 2 hours longer than he drove on second day.

Let x = Number of hours he drove on second day.

Then x + 2 = Number of hours he drove on first day.

It is given that he drove a total of 18 hours.

Therefore,

x + (x + 2) = 18

2x + 2= 18

x=8

He drove 8 hours on second day.

x + 2 = 8+2=10

He drove 10 hours on first day.

Let y = speed driven on second day.

y + 5 = speed driven on first day.

As we know: Distance = speed × time

On first day he covers a distance of:

Distance = 10(y+5)

On second day he covers a distance of:

Distance = 8(y)

Total distance = Day 1 distance + Day 2 distance

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Hence, his average speed on the second day is 35 miles per hour.

6 0
3 years ago
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