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3 years ago

What is the best estimate for 142.45 ÷ 7.4

Mathematics

2 answers:

Schach [20]3 years ago

6 0

Answer:

19.25

Step-by-step explanation:

Mice21 [21]3 years ago

4 0

Answer:

19.25

Step-by-step explanation:

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

4 years ago

Jose’s school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can g

Kryger [21]

Answer: Step 4

<u>Step-by-step explanation:</u>

1. Define variable x as student signatures still needed (Correct)

$2)\ \dfrac{x+82}{426}$ (Correct)

3. 25% = 0.25 (Correct)

$4)\ \dfrac{x+82}{426}\leq 0.25$ (Error)!

The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).

6 0

3 years ago

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A sphere has a diameter of 24 units. What is its volume in cubic units?

34kurt

V = (4/3)π.R³

Diameter - 24 units so Radius = 24/2 = 12 Inits

V= (4π/3).12³ =(4π/3). 1728
V=1728 x 4/3 x π = 2,304.π units³

8 0

3 years ago

How did the temp. change if at first it increased by 25% and then decreased by 40%?

antiseptic1488 [7]

Answer:

The temperature would have dropped 15 degrees so it would have been colder

Step-by-step explanation:

7 0

3 years ago

Find the greatest common multiple of 12 and 8

Mama L [17]

Find the greatest common multiple of 12 and 8 is 4

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3 years ago

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