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Zanzabum
3 years ago
9

Given the following exponential function identify weather the change represents growth or decay and determine the percentage rat

e of increase or decrease y=550(0.97)x
Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

The exponential function is that of decay

The percentage decrease is by 3%

Step-by-step explanation:

The exponential equation we are considering is;

y = 550(0.97)^x

Now to know if it’s decay or growth, we shall be considering what we have in the bracket

Mathematically, we can express 0.97 as follows

0.97 = 1-0.03

So what does this means? There is a decrease in subsequent values from one value of y to another.

This means that the equation is for decay as what the term raised to an exponent is less than 1.

Now we want to determine the percentage rate of increase or decrease

What we need to do is to represent the 0.03 difference in fraction

That would be 3/100

So this means that the percentage decrease is by 3%

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1.2, 3, 7.5, 18.75, ...<br><br> Which formula can be used to describe the sequence?
Nady [450]

Answer:

The formula is:

a_n=1.2(\frac{5}{2})^{n-1}

Step-by-step explanation:

The geometric sequences are those in which the division between the terms a_{n + 1} and a_n of the sequence are equal to a constant common reason called "r"

The geometrics secencias have the following form:

a_n=a_1(r)^{n-1}

Where a_1 is the first term of the sequence

In this sequence we have the following terms

1.2, 3, 7.5, 18.75

Then notice that:

\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}

Then:

r=\frac{5}{2}  and a_1=1.2

Finally the formula is:

a_n=1.2(\frac{5}{2})^{n-1}

5 0
3 years ago
Read 2 more answers
Do the indicated operation: Express your answers in the lowest terms<br><br> x/2+x/5
KonstantinChe [14]

Answer:

7x/10

Step-by-step explanation:

6 0
2 years ago
Melanie needs 12 lb of metal with 59% metal. If Melanie combines one metal with 25% silver and another 68% metal, how much of ea
ruslelena [56]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
If (4x−7)2=ax2+bx+c for all values of x, what is the value of c(b+a)?
ollegr [7]

Answer:

  -1960

Step-by-step explanation:

The expression on the left expands to ...

  (4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49

Matching coefficients, you have ...

  • a = 16
  • b = -56
  • c = 49

Then the expression c(b+a) evaluates to ...

  49(-56+16) = 49(-40) = -1960

8 0
3 years ago
What are the factors of 3x²+7x-20?
Leya [2.2K]
3x^2+7x-20=0\\\\a=3;\ b=7;\ c=-20\\\\\Delta=b^2-4ac\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=7^2-4\cdot3\cdot(-20)=49+240=289;\ \sqrt\Delta=\sqrt{289}=17\\\\x_1=\frac{-7-17}{2\cdot3}=\frac{-24}{6}=-4;\ x_2=\frac{-7+17}{2\cdot3}=\frac{10}{6}=\frac{5}{3}\\\\\\3x^2+7x-20=3(x+4)(x-\frac{5}{3})\\\\\\3x^2+7x-20=0\iff x=-4\ \vee\ x=\frac{5}{3}
4 0
3 years ago
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