the price of a notebook was $3.15 yesterday. today, the price rose to $3.40 . find the percentage increase. round your answer to the nearest tenth of a percent.
Answers
Today = $3.40
% Increase = ((3.40 - 3.15) / 3.15) * 100%
= (0.25/3.15) * 100%
≈ 0.0794 * 100%
≈ 7.94 %
≈ 7.9 % to the nearest tenth.
Final answer:
The price of the notebook experienced a percentage increase of 7.9%.
Explanation:
The subject of this problem is in the area of mathematics, specifically on percentage increase. To find the percentage increase in the price of the notebook, you first find the difference in price. The difference is $3.40 - $3.15 = $0.25. Next, you divide the increase by the original price, which gives you: $0.25 / $3.15 = 0.079365. Then, to turn this into a percentage, multiply the result by 100 to get 7.9365%. Rounding this to the nearest tenth, we get 7.9%.
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The temperature of a chemical reaction ranges between 30 degrees Celsius and 70 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 10-hour period. What is a cosine function that models this reaction?
What is the most accurate representation of the area of a plot measuring 11.7 cm by 15.4 cm?
Answers
Answer is about 13. i hope this helps.
Answers
Because 9 plus 4 is 13 but x can't be negative so you divide my negative 1 and get x=-13
-x-4=9
you need to keep x positive so +x on both sides (because it is the opposite of minus)
-4=9+x
minus the nine on both sides (because it is the opposite of adding)
-11=x
This is the answer.
-11=x
exponential, because there is a relatively consistent multiplicative rate of change
exponential, because there is a relatively consistent additive rate of change
linear, because there is a relatively consistent multiplicative rate of change
linear, because there is a relatively consistent additive rate of change
Answers
Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.
Explanation:
1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.
These are the data:
Time (min) ------ Temperature (°F)
0 ----------------------- 200
10 ---------------------- 180
20 --------------------- 163
30 --------------------- 146
40 ---------------------131
50 -------------------- 118
60 -------------------- 107
2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.
3) The other two options involve exponential models.
The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.
4) You can prove it:
i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:
y₁ = A [r]¹
y₂ = A[r]²
y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.
ii) Test some data:
180 / 200 = 0.9
163 / 180 ≈ 0.906 ≈ 0.9
146 / 163 ≈ 0.896 ≈ 0.9
131 / 146 ≈ 0.897 ≈ 0.9
118 / 131 ≈ 0.901 ≈ 0.9
107 / 118 ≈ 0.907 ≈ 0.9
As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.
A. exponential, because there is a relatively consistent multiplicative rate of change
what is the least possible value for xy?
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Least possible value for y(y+1)? Well, it appears for y halfway between the roots (you know what a parabola is, don't you?). That y is -0.5, so let's calculate -0.5*0.5, which is -0.25.
The least possible value is
Well, not really :)) The two values must be both negative, so we can't take one of them to be 0.5! As we lower the values, however, the product grows, reaching 0 when x=0 and y=-1, and further increasing as x and y lower. Thus, we would actually take x=0 and y=-1.
Answers
All you have to do is add up the sides:
12 + 12 + 5 + 5 = 34-m
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Answer:
Step-by-step explanation:
I see that you want to find the equation of a linear function that forms a right triangle with the x-axis, y-axis, and has an area of 50 square units. To clarify, let's work through this step by step.
A right triangle can be formed with the x-axis and y-axis as two sides, and the third side represented by the graph of a linear function. The area of this right triangle can be found using the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, one of the legs (base) of the right triangle is along the x-axis, and its length is determined by the x-coordinate at which the linear function crosses the x-axis. The other leg (height) is along the y-axis, and its length is determined by the y-coordinate at which the linear function crosses the y-axis.
Let's assume that the linear function is of the form:
f(x) = mx + b
where "m" is the slope and "b" is the y-intercept.
The x-coordinate where the linear function crosses the x-axis is given by:
x-coordinate = -b/m
The y-coordinate where the linear function crosses the y-axis is "b."
Now, let's calculate the area of the right triangle:
Area = (1/2) * (length of base) * (length of height)
Area = (1/2) * (-b/m) * b
Given that the area is 50 square units, we can set up the equation:
(1/2) * (-b/m) * b = 50
Now, you can solve this equation for "m" and "b" to find the equation of the linear function that satisfies the given conditions.