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2 years ago

Help......................

Mathematics

2 answers:

Komok [63]2 years ago

5 0

The answer is 7, have a good day and good luck

Crank2 years ago

4 0

7 is the answer. hope this helps!

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

5 0

2 years ago

A bowl contains blueberries and strawberries there are a total of 20 bares in the bowl the ratio blueberries to strawberries is

Alexus [3.1K]

Answer:

16 blueberries and 4 strawberries

Step-by-step explanation:

Given:

A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.

The ratio blueberries to strawberries is 4 to 1

Question asked:

How many of each berry are in the bowl ?

Solution:

Ratio of blueberries and strawberries = 4 : 1

Let ratio be $x$

Number of blueberries in the bowl = $4x$

Number of strawberries in the bowl = $1x=x$

As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

$4x+x=20\\5x=20\\$

Dividing both sides by 5

$x=4$

Number of strawberries in the bowl = $x$ = 4

Number of blueberries in the bowl = $4x$ = $4\times4=16$

Thus, there are 16 blueberries and 4 strawberries in the bowl.

5 0

2 years ago

Read 2 more answers

Pls help if I don’t finish today mom will hurt me

kherson [118]

Answer:

We conclude that:

g(10) = 8

Step-by-step explanation:

First, we need to clear some concepts on how to fetch input and output from the function graph.

Determining the y-intercept:

We know that the y-intercept of the graph function can be determined by setting x = 0 and determining the corresponding y-value.

From the graph it is clear that x = 0, the value of y = 5. In other words, the graph intersects the y-axis at y = 5.

Therefore, the y-intercept of the graph is (0, 5).

Thus,

g(0) = 5

Determining the x-intercept:

We know that the x-intercept of the graph function can be determined by setting y = 0 and determining the corresponding x-value.

From the graph, it is clear that y = 0, the value of x = -10. In other words, the graph intersects the x-axis at x = -10.

Therefore, the x-intercept of the graph is (-10, 0).

Thus,

g(-10) = 0

Determining g(10):

From the graph, it is clearly visible that at x = 10, the value of the function output y = 8.

In other words,

at x = 10, g(10) = 8

Therefore, we conclude that:

g(10) = 8

5 0

2 years ago

Please help I’ll give brainliest

s344n2d4d5 [400]

Answer:

R = 13%

Step-by-step explanation:

P = $4000

I = $780

T = 18 months = 18/12 years

$I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%$

5 0

3 years ago

A teacher asks students to list the math lessons they learned on nine random school days in the past month. She evaluates the st

zysi [14]

Answer:

Simple random sampling

Step-by-step explanation:

Hope this work :)

5 0

2 years ago