MATHEMATICS HIGH SCHOOL

Which economic indicator measures the change in prices of specific goods and services over time? A. Price change rate
B. Consumer price schedule
C. Consumer price index

Answers

Answer 1
Answer: A. Consumer price index measures the change in prices of specific good and services over time. The consumer price index (CPI) is an estimate of prices that are collected periodically that represent the item/goods. CPI is based on the overall cost of a fixed basket of goods a typical costumer would buy rather then the same basket in the year.
Answer 2
Answer:

Answer:

For Plato the answer is C Consumer Price Index

Step-by-step explanation:

A. Price Change Rate

B. Consumer Price Schedule

C. Consumer Price Index - correct on Plato

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Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?

Answers

with a parabola that faces left or right it is
(y-k)²=4p(x-h)

p is distance from directix to vertex which is also the distance from vertex to focus

if it opens to the right, then p is positive
if it opens to the left, then p is negative

so we know that directix is-8 and focus is (8,0)
directix is behind the parabola
so therfor the parabola opens to the right
distance from x=-8 to (8,0) is 16 units
16/2=8
p=8

vertex is 8 units to right of directix or 8 units to the left of focus
(8,0) is focus so vertex is (0,0)


(h,k) is vertex
(y-k)²=4p(x-h)
(y-0)²=4(16)(x-0)
y²=64x

Answer:

If your on e2020, its C

Step-by-step explanation:

y^2=32x, the work above is correct but they forgot to take the square away in the final answer. hope this helps!

What Is probability ?
​

Answers

Final answer:

Probability is a mathematical practice used to measure the likelihood of an event occurring. It is used extensively in various fields to predict the outcome of an experiment or event. The empirical probability is calculated from observed data, while the theoretical probability assumes equal likelihood for all outcomes.

Explanation:

Probability is a mathematical discipline that deals with the chance of an event occurring. It is a measure of certainty or uncertainty related to outcomes and activities, especially in experiments whose results are not predetermined, termed as chance experiments.

Whenever an experiment is carried out, it is referred to as a sample event. The set of all possible results of this experiment is termed as the sample space. The various results or outcomes of the event are subsets of this sample space, and each is associated with a probability.

The empirical probability of an event is calculated by dividing the number of times the event occurs by the total number of opportunities for it to occur. On the other hand, the theoretical probability is computed by dividing the number of expected occurrences of the event by the total number of potential occurrences. In most situations, the probabilities of individual outcomes are assumed to be equal, but this might not always be the case.

Probability is used extensively in various fields from forecasting weather conditions to predicting the outcome of an experiment or an event. For example, genetics, where it helps predict the outcomes of genetic crosses; finance, where it helps a stockbroker determine the rate of return on investments and many more.

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Answers

For a parabola equation ax^2+bx+c, the vertex would be -b/2a
Therefore, the x coordinate of the minimum would be -(-32)/2(2)=32/4=8
That is the "h" part of the equation. 
Now, we need to find the y coordinate, which will be the "k" part of the equation. We can find that by plugging in x=8 into the equation: 2(8)^2-32(8)+56= -72

Therefore, we plug (h,k) and a in, and get the equation y=2(x-8)^2-72
The x coordinate of the minimum is 8

If g(y) = 5y, then solve g(-10)

Answers

Answer:

-50

Step-by-step explanation:

g(y) = 5y

Let y= -10

g(-10) = 5*-10

         = -50

What number si in the middle of 2.3 and 9.5

Answers

Final answer:

The number in the middle of 2.3 and 9.5 is calculated by finding the average, which is done by adding the two numbers and dividing the sum by 2, resulting in 5.9.

Explanation:

To find the number in the middle of 2.3 and 9.5, we need to calculate the average (or the mean) of the two numbers. This can be done by adding the two numbers together and then dividing by 2.



The calculation steps are as follows:

  1. Add the two numbers: 2.3 + 9.5 = 11.8
  2. Divide the sum by 2 to find the middle number: 11.8 / 2 = 5.9



Therefore, the number in the middle of 2.3 and 9.5 is 5.9.

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5.9 I think sorry if I’m wrong

Eric must pay off a loan of $3,500 in 5 years. Use the appropriate formula to find the amortization payment he would need to make each six months, at 12% interest compounded semiannually

Answers

Given:
Principal = 3,500 
term = 5 years
interest rate = 12%
compounded semi-annually

A = P(1 + r/n)^nt

A = 3,500 (1 + 12%/2)²ˣ⁵
A = 3,500 (1 + 0.06)¹⁰
A = 3,500 (1.06)¹⁰
A = 3,500 (1.79)
A = 6,265

5 years * 2 = 10 semi-annual payments

6,265 / 10 = 626.50 amortization payment.
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