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amm1812
3 years ago
7

A new car is purchased for 22300 dollars. The value of the car depreciates at 10.25% per year. What will the value of the car be

, to the nearest cent, after 6 years?
Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer:

$11654 approx

Step-by-step explanation:

Given data

Principal amount =  22300 dollars

Rate= 10.25%

time= 6 years

The expression for the decrease is given as

A=P(1-r)^t-----------Note the negative sign is because of the decrease

substitute

A= 22300(1-0.1025)^6

A=22300(0.8975)^6

A=22300*0.5226

A=$11653.98

Hence the new value is $11654 approx

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A person purchased a slot machine and tested it by playing it 1,137 times. There are 10 different categories of outcomes, includ
ivann1987 [24]

Answer:

p_v= P(\chi^2_{9}>11.517)=0.2419

And on this case if we see the significance level given \alpha=0.1 we see that p_v>alpha so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

Step-by-step explanation:

A chi-square goodness of fit test determines if a sample data obtained fit to a specified population.

p_v represent the p value for the test

O= obserbed values

E= expected values

The system of hypothesis for this case are:

Null hypothesis: O_i = E_i[/tex[Alternative hypothesis: [tex]O_i \neq E_i

The statistic to check the hypothesis is given by:

\chi^2 =\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

On this case after calculate the statistic they got: \chi^2 = 11.517

And in order to calculate the p value we need to find first the degrees of freedom given by:

df=n-1=10-1=9, where k represent the number of levels (on this cas we have 10 categories)

And in order to calculate the p value we need to calculate the following probability:

p_v= P(\chi^2_{9}>11.517)=0.2419

And on this case if we see the significance level given \alpha=0.1 we see that p_v>alpha so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

6 0
4 years ago
a new statue with a circular base is being unveiled in a downtown park. the statue base has a radius of 8 feet. round your answe
fiasKO [112]
I believe you are asking for the area of the statue base.

r^2x3.14 = area of a circle

8 x 8 = 64

64 x 3.14 = 200.96
200.96 rounded = 201

The area of the statue base is 201 square feet.
5 0
3 years ago
25 points! Please help me!
fgiga [73]

When x = 5. Plug in 5 for x

f(5) = -5(5) - 4

Remember to follow PEMDAS. First, multiply -5 with 5

-5 x 5 = -25

Next, subtract 4

f(5) = -25 - 4

f(5) = -29

B. f(5) = −29 is your answer

hope this helps

8 0
3 years ago
Read 2 more answers
If a1 = 10 and an = 3an-1 then find the value of a6.
Black_prince [1.1K]

Answer:

a(6)=2430

Step-by-step explanation:

a(1)=10

a(n)=3×a(n-1)

This is a geometric sequence, with ratio=3

a(2)=3×a(1)=3×10

a(3)=3×a(2)=3²×10

a(6)=3⁵×20=(27×9)×10=243×10=2430

7 0
3 years ago
What is the slope of y=-5x-1
Lynna [10]

Answer:

5

Step-by-step explanation:

~Hope this helps!

Krystal~~

3 0
3 years ago
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