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3 years ago

11

How do you solve exponents?

1 answer:

Wittaler [7]3 years ago

6 0

<span>Learn the correct words and vocab for exponent problems. ...Multiply the base repeatedly for the number of factors represented by the exponent. ...Solve an expression: Multiply the first two numbers to get the product. ...<span>Multiply that answer to your first pair (16 here) by the next number.

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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

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

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

$(1+r)^10 = 2$

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

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

$1 + r = 1.0718$

So

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

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

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

3 years ago

A bag contains 3 yellow, 1 red, 2 green beads. Charlene draws a bead, keeps it out, then draws another bead. What’s the probabil

CaHeK987 [17]

Charlene had more green then red.

so She will run out of red first anyways because its the lowest amount.

Hope this helps....

5 0

3 years ago

On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby

son4ous [18]

Answer:

16 feet

Step-by-step explanation:

Set up a proportion where x is the height of the tree:

$\frac{4}{5}$ = $\frac{x}{20}$

Cross multiply and solve for x:

5x = 80

x = 16

So, the tree is 16 feet tall

8 0

3 years ago

Please help me with this question :)

klio [65]

Answer:

y>5/6

Step-by-step explanation:

5y+3>-7y+13

5y+7y>13-3

12y/12>10/12

y>5/6

This is an inequality, which shows where the variable y does or does not exist

from this we can say

y: (-infinity,5/6) (5/6, infinity]

or, y does not exist from (-infinity,5/6)

and does exist from (5/6, infinity]

3 0

2 years ago

BRAINLIEST!!PLEASE HELP ME!!

kotykmax [81]

1 hr = 60 mins
10 hr = ... mins
600 mins + 39 mins = ... mins
639 mins + 24 sec=......mins

91 cm × 24 = ...

IDK what convention factors are tho...

8 0

3 years ago

Read 2 more answers