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2 years ago

7

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years wi

ll it take of the population to reach 150% of its current size according to the exponential growth function?

1 answer:

OlgaM077 [116]2 years ago

3 0

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

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Mark can make 42 birdays cakes in 7 days how many birthday cakes can mark make in 5 days?

iragen [17]

42 cakes in 7 days, that's 42/7= 6 cakes per day
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3 years ago

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Find the sum of the first six terms of the sequence.<br><br><br> S6 = ⇒ 84

k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first <em>n</em> terms is:

$\text{Sum of n terms}=\frac{n(n+1)}{2}$

$\text{Sum of first 6 terms}=\frac{6(6+1)}{2}$

$=3\times7\\=21$

Consider the series is an arithmetic sequence.

Sum of first <em>n</em> terms is:

$S_{n}=\frac{n}{2} [2a+(n-1)d]$

Here<em>,</em>

<em>a</em> = first term

<em>d</em> = common difference

Consider the series is an geometric sequence.

Sum of first <em>n</em> terms is:

$S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}$

Here<em>,</em>

<em>a₁</em> = first term

<em>r</em> = common ratio

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3 years ago

What is the value of x <br><br> 24 <br> 9<br> 21<br> 14

Fynjy0 [20]

Both of this angles are same side interior angles which means both of this angles when added equal to 180 degrees

5x +15 + 3x - 3 = 180

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3 years ago

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(12 divided by 3) 2 – (18 divided by 3 2)) < (4 divided by 2)

gladu [14]

Answer:

$(12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2$

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3 years ago

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 (5

Blizzard [7]

Answer:

B = 61.75°

Step-by-step explanation:

The formula for the Law of Sines is given as:

a/ sin A = b/ sin B

In the question, we are given the following values

A = 56°, a = 16, b = 17

We are to solve for B

Hence,

16/ sin 56° = 17/sin B

Cross Multiply

sin B × 16 = sin 56° × 17

sin B = sin 56° × 17/16

sin B = 0.88

B = arc sin(0.88)

B = 61.74536°

Approximately B = 61.75°

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3 years ago