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brilliants [131]
3 years ago
15

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease.
y=490(0.92)^x
Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

  • Decay
  • Decrease rate is 8%

Step-by-step explanation:

<u>Given function:</u>

  • y = 490(0.92)^x

The base of the exponent is 0.92. This represents a decay as 0.92 is less than 1. It would be a growth function is the base was greater than 1.

<u>The rate of decrease is </u>

  • 0.92 times

<u>Percent decrease is </u>

  • (1 - 0.92)*100% = 8%
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Answer:

2x^2

Step-by-step explanation:

combine like terms, and do the subtraction!

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Find the absolute maximum and minimum values of f(x.y)=x^2+y^2-2x-2y on the closed region bounded by the triangle with vertices
dem82 [27]

Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.

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6 0
3 years ago
Mike wrote down a number on a piece of paper and hid it from his friends. He rounded his number to different places and his frie
Naddik [55]

Answer: 145,998, 7,000, and 25,991

My guess :))

Step-by-step explanation:

145,998  7,002  4,506  26,991   12,497

<u>First, Mike rounded his number to the nearest ten</u>

146,000  7,000  4,510   27,000   12,500

<u>Then, he rounded his number to the nearest hundred.</u>

146,000  7,000  4,500  27,000   12,500

<u>Last, he rounded his number to the nearest thousand.</u>

146,000  7,000  5,000  27,000   12,000

3 0
3 years ago
The average salary of all residents of a city is thought to be about $39,000. A research team surveys a random sample of 200 res
Rina8888 [55]

Answer:

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

p_v =2*P(z>1.179)=2*[1-P(Z    

Step-by-step explanation:

Data given and notation    

\bar X=4000 represent the average score for the sample    

s=12000 represent the sample standard deviation    

n=200 sample size    

\mu_o =39000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a two tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu = 39000    

Alternative hypothesis :\mu \neq 39000    

Compute the test statistic  

The sample size is large enough to assume the distribution for the statisitc normal. The statistic for this case is given by:    

z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

We can replace in formula (1) the info given like this:    

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

Give the appropriate conclusion for the test  

Since is a two tailed test the p value would be:    

p_v =2*P(z>1.179)=2*[1-P(Z    

Conclusion    

If we compare the p value and a significance level given for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the true population mean for the salary not differs significantly from the value of 39000.    

6 0
3 years ago
48-5+2x3+6.
kkurt [141]
The parentheses must be placed here 48 - (5 + 2) * 3 + 6 in order for the equation to equal 33.
3 0
4 years ago
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