Answer:
when h(x) = 0, x = 7/3
Step-by-step explanation:
0 = 3x - 7
7 = 3x
7/3 = x
The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,

Hence, the area of the bottom of the box is 64 square inches.
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Slope of a line parallel to given line is equal to slope of given line.
<u>SOLUTION:</u>
Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.
We know that, slope of a line is tan( angle of a line made between that line and the x – axis)
So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.
Then, tan( angle by 1st line) = tan( angle by 2nd line)
Which means that, slope of two lines will be equal.
Hence, slope of a line parallel to given is equal to slope of given line.
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2 = 12000*(1 + 0.015)^2 = 12000*(1.015)^2 = 12000*(1.030225) = 12362.7Value of investment after two years = £12362.7
Answer:
The value after 7 years is $ 855355.65
Solution:
Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year
To find: exponential function to find the annual sales after 7 years
The exponential growth function is given as:
Where,
"a" is the initial amount
"y" is the future value
"r" is the rate of interest in decimal
"t" is the number of years
Here in this given question,
a = 650000
t = 7 years
Substituting the values in given formula,
Thus the value after 7 years is $ 855355.65
Step-by-step explanation: