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Nata [24]
3 years ago
10

How much time would it take for a population to double at a rate of 8.2% per year continuously?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0
You want to find t such that
  2 = 1·e^(0.082t)
  ln(2) = 0.082t . . . . . take the natural log
  ln(2)/0.082 = t ≈ 8.453

It would take about 8.5 years for a population to double at 8.2% per year.
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maria uses 2 3/4 cups of flour, 13/8 cups of sugar, and 1/2 cup of butter what is the total amount of ingredients used to make t
Gre4nikov [31]
Volume of the flour = 2 3/4
Volume of the sugar = 13/8
Volume of the butter = 1/2

Total volume
2 3/4 + 13/8 + 1/2
11/4 + 13/8 + 1/2
(22+13+4) / 8
39 / 8
4 7/8
4 0
4 years ago
Find the area of the polygon. 9.2 m 6.9 m 13.8 m 9.2 m ​
Ainat [17]

Answer:

How can I help you?

Solve the Function Operation

Use the given functions to set up and simplify

140

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350

m

e

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350

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350

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Find the Exact Value

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csc

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60

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sin

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330

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390

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Identify the Sequence

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to identify the arithmetic sequence.

a

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=

700

m

t

e

2

r

s

+

140

n

−

140

−

350

m

t

e

2

r

s

n

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How was this solution?

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Simplify

Simplify the expression.

157.68432

m

4

Tap to view steps...

Simplify the expression.

157.68432

m

4

Tap to view steps...

Not the answer you were looking for?

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Simplify the expression.

157.68432

m

4

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How was this solution?

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Not the answer you were looking for?

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Solve the Function Operation

Simplify

0.9

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(

0.2

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)

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(

6.9

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)

⋅

(

13.8

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⋅

(

9.2

m

)

.

157.68432

m

4

Tap to view steps...

Simplify

0.9

⋅

(

0.2

m

)

⋅

(

6.9

m

)

⋅

(

13.8

m

)

⋅

(

9.2

m

)

.

157.68432

m

4

6 0
3 years ago
3-78 <br><br> please awnswer :d
lisabon 2012 [21]

Answer:

The answer would be -75

Step-by-step explanation:

7 0
3 years ago
Verify <br>cos^4x-sin^4x=cos2x
kati45 [8]
A^2 - b^2 = (a - b)( a +b);
<span>cos^4x-sin^4x =( cos^2x + sin^2x )( cos^2x - sin^2x) = 1* cos2x = co2x.</span>
7 0
3 years ago
At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o
bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, P_0=15

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

P(x)=P_0(1+r)^x

now, we can plug values

P(x)=15(1+0.4142)^x

P(x)=15(1.4142)^x

Average rate of change between 2 years and 4 years:

we can use formula

A_1=\frac{P(4)-P(2)}{4-2}

now, we can plug values

A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}

A_1=14.99914

Average rate of change between 4 years and 6 years:

we can use formula

A_2=\frac{P(6)-P(4)}{6-4}

now, we can plug values

A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}

A_2=29.99770

Average rate of change between 6 years and 8 years:

we can use formula

A_3=\frac{P(8)-P(6)}{8-6}

now, we can plug values

A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}

A_3=59.99425

now, we will check each options

option-A:

we can see that

A_3-A_2=30

A_3-A_2=30

So, this is FALSE

option-B:

A_1=\frac{1}{2}A_2

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

A_1=\frac{1}{2}A_2

so, this is FALSE


5 0
3 years ago
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