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2 years ago

Do the ratios 9/4 and 11/6 make a proportion please explain. Thank You!

Mathematics

1 answer:

svetoff [14.1K]2 years ago

3 0

No they're not proportionate because 9 divided by 4 = 2.25 and 11 divided by 6 is 1.83 so they're not the same in value

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

A cylinder has a radius of 4 inches and a high of 10.5 inches what is the approximate volume of the cylinder

olga55 [171]

Answer:

V ≈ 527.79

Step-by-step explanation:

Formula is V= πr2h

therefore

V = π * 4 * 2 * 10.5

V = π * 8 * 10.5

V ≈ 527.79

5 0

2 years ago

The cargo carrying part of Billy‘s truck has a length of 8.3 m a width of 3 m and a height of 4.2 m. What is the maximum volume

madam [21]

You're really just finding the volume of the cargo-carry part.

V= L x W x H

V= 8.3m x 3m x 4.2m

V= 104.58 m3 or 105 m3 (rounded)

ANSWER: The maximum volume of sand Billy's truck can carry is about 105 m3.

8 0

2 years ago

The function F represents the revenue in dollars the school can expect to receive if it sells 220-12× coffee mugs for dollars ea

LenKa [72]

Answer: 4(55-3×)

Step-by-step explanation:

3 0

2 years ago

Please hurry! Please help!

OleMash [197]

I believe the answer is 4

8 0

2 years ago

Read 2 more answers