Answer:
75th term = 443
Step-by-step explanation:
Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
<span>
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
</span>
The equation modeling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
</span><span>
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
</span>
But if you are writing the equation in standard form it would be <span>
</span><span>
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
</span>
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.<span>
</span><span>
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of </span>(2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
Answer:
431,707
Step-by-step explanation:
To figure out the total number, you need to divide the part of the whole by the percentage it is of the whole. This means that you need to divide 35,400 by 8.2%.
Before dividing the percentage, you need to convert it to a decimal.
8.2% = 0.082
Divide the number to find the answer.
35,400/0.082 = 431,707.3
Converted to the nearest whole number, the answer is 431,707.
The answer is Rs 126000.
Explanation:
8400 ÷ 1/3 ÷ 1/5
= 8400 * 3/1 * 5/1
= 8400 * 3 * 5
= 126000
95 divided by 5 is 19. You can count by fives until you get to 95.
