An automobile purchased for 22,000 is worth 2500 after 5 yrs. Assuming that the cars value deprecited steadily from year to year, what was it worth at the end of third year

Answers

Answer 1
Answer: Original price = 22000
New price = 2500
Amount depreciated in 5 years = 22000 - 2500
                                                  =19500
Amount depreciated in 1 year = 19500/5
                                                = 3900
Worth after 3 years = 22000 - 3(3900)
                               = 10300

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In one particular suburb, there are 28 families that own a pug. If these owners make up 80% of all dog owners in this suburb, then how many dog owners are there in this neighborhood?

Answers

Answer:

60%

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by

100%

So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6

When that value is multiplied by

100%, it gives us our percentage of 0.6 ⋅ 100% = 60

Identify which equations have one solution, infinitely many solutions, or no solution. No

Answers

Answer: all of them have one solutions

Step-by-step explanation:

1) A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correctly find the length of the tree's shadow? A) x 28 = 11 15 B) x 28 = 15 11 C) 28 x = 11 15 D) x 15 = 11 28

Answers

D

The model involves similar triangles with the ratios of corresponding sides being equal

let x be the length of the tree's shadow, then

(28)/(15) = (x)/(11) ( cross- multiply )

15x = 11 × 28



Answer:

D

Step-by-step explanation:

i went to K12

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. Ft. How much were the dimensions increased?

Answers

The dimensions increased by 4 feet.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given;

Dimensions of rectangle = 12 + x and 14 + x

The area of the rectangle= (12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x =4

Hence, The dimensions increased by 4 feet.

Learn more about the area;

brainly.com/question/1658516

#SPJ2

Answer:

4 ft

Step-by-step explanation:

288=16 * 18

12+4=16

14+4=18

You read that a study is planned for which a test of hypothesis will be done at significance level α = 0.10. Statisticians have calculated that for a certain effect size, the power is 0.7. What are the probabilities of Type I and Type II errors for this test?

Answers

Answer:

The probabilities of Type I is 0.10.

The probability of type II error is 0.3

Step-by-step explanation:

Consider the provided information.

Type I error: If we reject the null hypothesis when null hypothesis is true then it is called type I error.

The type I error is denoted by α.

Type II error: If we fail to reject the null hypothesis when null hypothesis is false then it is called type II error.

The type II error is denoted by β.

It is given that significance level α = 0.10.

Thus, the probabilities of Type I is 0.10.

The power of the test is: Power=1-\beta

It is given that power is 0.7.

Therefore,

0.7=1-\beta

\beta=1-0.7=0.3

Hence, the probability of type II error is 0.3

Jessica is asked to solve this problem on her math quiz −29+14=? She remembered that she needed to watch for the signs on the numbers, but she is still confused on how the rules work for addition of integers. In complete sentences, explain to Jessica what rule she would use to solve this problem and how she can tell what the sign on her final answer should be in order to get the question correct on her quiz.

Answers

Answer:

Step-by-step explanation:

-29 +14 =-15

The biggest number "29" has minus "-" in front, so in the final the sigh will be minus. The final sigh on the answer dibents on the biggest number.

If you have this exercise :

-14 +29 =15

The biggest number has "+" in front of it

Final answer:

To solve the problem −29+14, you subtract the smaller number from the larger number and give the answer the sign of the larger number, resulting in −15. The rules of addition for integers require attention to the sign and magnitude of the numbers involved.

Explanation:

Jessica, to solve the problem −29+14, we need to apply the rule for addition when dealing with integers that have different signs. Since −29 is negative and 14 is positive, you subtract the smaller number from the larger number and the answer will have the sign of the larger number. In this case, 29 is larger than 14, so we do 29 − 14, which equals 15. Because the larger number (29) was negative, the result will also be negative, so the final answer is −15.

Remember the rules of addition for different signs: when adding two numbers with opposite signs, the answer will have the sign of the larger absolute value. We subtract the smaller absolute value from the larger one to determine the numerical part of the answer. If you're ever unsure about the sign, just remember that the answer will take the sign of the number with the larger absolute value. This is also true when performing subtraction, except you change the sign of the number being subtracted first, then proceed with addition based on the rules for integers.