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sertanlavr [38]
3 years ago
12

MATH 30 POINTS WILL GIVE BRAINLIEST help please

Mathematics
1 answer:
natulia [17]3 years ago
3 0

The fundamental behavior that's important here is that, as t gets arbitrarily large, a^t becomes smaller (decays) if |a| and larger (grows) if |a|>1.

100\left(1-\dfrac12\right)^t=100\left(\dfrac12\right)^t\implies\dfrac12

0.1(1.25)^t\implies1.25>1\implies\text{growth}

426(0.98)^t\implies0.98

2050\left(\dfrac12\right)^t\implies\text{decay}

\left((1-0.03)^{1/2}\right)^{2t}=0.97^t\implies0.97

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Answer:

Rate of Decay = 8%

Step-by-step explanation:

The decay formula is:

F=P(1-r)^t

Where F is the final value (here, it is given as "Y")

P is the initial value (here, given as 20,000)

r is the rate of decay (what we need to find)

t is the time (given as 2)

Comparing both the equations:

F=P(1-r)^t\\Y=20,000(0.92)^2

We see that:

1 - r  =0.92

We solve for "r":

1 - 0.92 = r

0.08 = r

The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:

0.08 * 100 = 8%

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Write a rule for each sequence. Find the next three terms.<br><br> 8,14,20,26
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What is the selling price of a 62.25 karaoke machine with a 60.55 mark up
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3 0
3 years ago
What are the solutions?<br>8x^2-12x-23=-5​
erastova [34]

Answer:

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Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 12 x - 23 = -5

Divide both sides by 8:

x^2 - (3 x)/2 - 23/8 = -5/8

Add 23/8 to both sides:

x^2 - (3 x)/2 = 9/4

Add 9/16 to both sides:

x^2 - (3 x)/2 + 9/16 = 45/16

Write the left hand side as a square:

(x - 3/4)^2 = 45/16

Take the square root of both sides:

x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4

Add 3/4 to both sides:

x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4

Add 3/4 to both sides:

Answer:  x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

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