MATHEMATICS HIGH SCHOOL

The value of a boat, in dollars, x years after its purchase is represented by the function.f(x)=10,000(0.73)^x



What is the average decrease in value per year between years 1 and 2?

Answers

Answer 1
Answer:

Given the function f(x) = 10000(0.73)^x

Where y is The value of a boat, in dollars, x years after its purchase 
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300  
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329  
so the decrease
D = $7300 - $ 5329
D = $ 1971

 
Answer 2
Answer:

Answer:

The correct answer is $1971.

I just took the test and got it right.

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on a farm, 4 1/2 out of every 15 acres of land are used to grow crops. Wheat is grown on 5/8 of the land used to grow crops. What percentage of the total area of the land on the farm is used to grow wheat?

Answers

The answer is 18.75% (I THINK, I'm not very good at maths!) here's how I worked it out:

4.5 + 4 1/2 so for the first part it is a fraction 4.5/15 you then multiply this to 5/8 and get 225/120 which you can then simplify to 3/16 then you work out 3 divided by 16 and get 0.1875 and multiply this decimal by 100 to get the percentage, 18.75%. 

Hope this helped, but check with other people (I'm not very good at maths)! 

Can someone help me fast

Answers

Answer:

v = 3

Step-by-step explanation:

All 3 angles = 180\

43 + 89 + 16v = 180

132 + 16v = 180

16v = 180-132

16v = 48

v = 48/16

v = 3

Given a = {1, 3, 5}, b = {2, 4, 6} and c={1, 2, 3, 4, 5, 6}, then a ∪ (b ∩
c. =

Answers

Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}?1. A ∪ B __ {1, 2, 3, 4, 5} 
2. A ∪ C __ null, or empty set 
3. A ∩ B __ {1, 3, 5} 
4. A ∩ C __ {1, 2, 3, 4, 5, 6} 
5. B ∩ C __ {2, 4}

Final answer:

The result of a ∪ (b ∩ c) equals the union of set a with set b, since set b is completely contained within set c. The final answer is {1, 2, 3, 4, 5, 6}.

Explanation:

The question involves concepts of set theory and specifically deals with the union and intersection of sets. The sets given are a = {1, 3, 5}, b = {2, 4, 6}, and c = {1, 2, 3, 4, 5, 6}. We're asked to find the result of a ∪ (b ∩ c), which means we want to determine the union of set a with the intersection of sets b and c. First, we need to find b ∩ c, which are the elements common to both b and c. Since c contains all the elements of b, the intersection b ∩ c is simply b, which is {2, 4, 6}. Now, we take the union of set a with this result, so a ∪ (b ∩ c) = a ∪ b = {1, 2, 3, 4, 5, 6}. Hence, a ∪ (b ∩ c) contains all elements from both set a and set b, as there were no common elements in set a and set b originally.

Learn more about Union and Intersection of Sets here:

brainly.com/question/23337676

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A plant has two alleles for color. The red allele is recessive and is represented by q. The purple allele is dominant and is represented by p. If 30 of 100 organisms are red, what is q?p^2+2pq+q^2=1
A. 0.55
B. 0.30
C. 0.49
D. 0.70

Answers

The answer is A. - 0.55

Frank solves the system of equations using the linear combination method. 2x+3y=−13x−5y=10

Which steps would allow him to eliminate the y terms in the system of equations?


Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 5. Add the resulting equations together.


Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 2. Add the resulting equations together.


Multiply 2x+3y=−1 by 2. Multiply 3x−5y=10 by 5. Add the resulting equations together.


Multiply 2x+3y=−1 by 5. Multiply 3x−5y=10 by 3. Add the resulting equations together.

Answers

Answer:

Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

Step-by-step explanation:

To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.

2x + 3y =  -1     (1)

3x -  5y = 10     (2)

The easiest way to do this is to multiply Equation (1) by 5

and Equation (2) by 3.

5 × [2x + 3y =  -1]

3 × [3x  - 5y = 10]

Then, add the two equations.

10x + 15y =  -5

9x  - 15y = 30

19x          = 25

Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

$8000 is borrowed at 6.2% p.a. Simple interest for 4 years.What is the total amount owed over 4 years??

Answers

The total amount owed after 4 years is $8000 plus the simple interest:

$8000 + $8000(0.062)(4) = $9984
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