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Finger [1]
2 years ago
14

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What mul

tiplicative rate of change should Hal use in his function?
0.02
0.98
1.02
1.98
Mathematics
1 answer:
Inga [223]2 years ago
8 0

Answer

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98

                                                                                                                  =9.8×10⁻¹

Explanation

The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.

In this case the first term = 10000

The second term = 98% × 10000 = 9800.

The common ratio = 9800/10000=49/50

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.

The equation of the exponential rate would be;

10,000ₓ0.98ⁿ.

where n is the number years.

Hope his helps! ;)

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yarga [219]

Answer:

no it is 0.4

Step-by-step explanation:

5x(2-4)=2(5x-4)

10x-20x=10x-8

-20x=-8

20x=8

10x=4

x=0.4

8 0
2 years ago
A poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of t
Ira Lisetskai [31]

Answer:

(0.5793, 0.6363)

Step-by-step explanation:

Given that a  poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.

i.e. sample proportion p= \frac{482}{793} =0.608

q=1-p = 0.392

Std error of p = \sqrt{pq/n} =0.0173

For 90% Z crtiical = 1.645

Hence margin of error = 1.645 * std error = 0.0285

Confidence interval 90%

= proportion ±margin of error

=(0.5793, 0.6363)

3 0
3 years ago
Which of the diagrams below represents the contrapositive of the statement "If it is an elm, then it is a tree"?
Murrr4er [49]

Answer:

Right

Step-by-step explanation:

For a contrapositive, we switch the hypothesis and conclusion and then negate it.

Switch

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Negate

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7 0
3 years ago
What are the 3 different forms of a quadratic function and what do the variables in each represent?
Likurg_2 [28]

Answer:

general, factored, and vertex form.

general: y=ax^2+b^2+c

Factored: y=(x+a)(x+b)

Vertex: y=a(x-h)^2+k

Step-by-step explanation:

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3 years ago
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Answer:

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5 0
3 years ago
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