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Bogdan [553]
3 years ago
13

Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r

ate each day. Part 1: Is this a growth or decay problem? ( 1 point) Part 2: Which equation correctly represents this problem (2 points) A) y=146(24)x B) y=146(1.024)x C) y= 146(1.24)x
Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

(a) Growth

(b)\ y = 146(1.24)^x

Step-by-step explanation:

Given

a= 146 -- current

r = 24\% --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

y = a(1 + r)^x

Substitute: a= 146 and r = 24\%

y = 146 * (1 + 24\%)^x

y = 146 * (1 + 0.24)^x

y = 146 * (1.24)^x

y = 146(1.24)^x

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3 years ago
Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.
dimulka [17.4K]

The question is an illustration of equivalent ratios.

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

Red = 7oz

Yellow =1oz

To make 3 cups, we simply multiply by 3, because 3 \times 1 = 3

So, we have:

Red = 7oz \times 3 = 21oz

Yellow =1oz \times 3 = 3oz

2 cups of light orange require

Red =3oz

Yellow =13

To make 3 cups, we simply multiply by 1.5, because 2 \times 1.5 = 3

So, we have:

Red = 3oz \times 1.5 = 4.5oz

Yellow = 13oz \times 1.5 = 19.5oz

Hence:

  • 3 cups of dark orange require 3 ounces of yellow  paint
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Read more about equivalent ratios at:

brainly.com/question/18441891

5 0
2 years ago
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

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3 years ago
Through: (-2, -1), slope = -1
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y= -1x -3

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The answer is 5.35, 275, 336, and 535
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