Answer:
i)
0.79m
ii)
1.21m
iii)
7/5m
iv)
3/5m
Step-by-step explanation:
i)
The price of a USB memory stick selling at a 21% discount off its marked price (m)
The marked price m represents 100% of the value of the USB memory stick. Offering a 21% discount off the marked price will mean that the USB will be selling at;
(100 - 21)% of the marked price m
=79% of m
= (79/100)*m
= 0.79m
ii)
The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD.
The amount (m) needed to manufacture the CD would represent 100% of the value of the CD. Selling the CD for 21% more than the amount (m) needed to manufacture the CD will imply that the selling price is;
(100+21)% of m
= 121% of m
= (121/100)*m
= 1.21m
iii)
The final value of a painting after its initial value, m, increases by 2/5.
The initial value of the painting is given as m. The value of the painting is said to increase by 2/5 which means that the increase in its value would be;
2/5 of m
=2/5 * m
=2/5m
The final value of the painting will thus be;
initial value + increase in value
=m + 2/5m
= m(1+2/5)
=7/5m
iv)
The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy.
Initially, Nancy had a total of m markers. By giving away 2/5 of her markers to Amy, her markers reduced by;
2/5 of m
=2/5*m
=2/5m
The new number of her markers will be given by;
initial numbers - total given to Amy
= m - (2/5m)
= m(1 - 2/5)
=m(3/5)
=3/5m
I think a word is missing here: '<span>Which { ? } represents where f(x) = g(x)?
If the graph of f(x) intersects the graph of g(x), the coordinates of the point of intersection constitute the "solution" of f(x) = g(x).
If you were to share functions f(x) and g(x), you'd likely be able to determine the point of intersection, either algebraically or graphically.</span>
Hi! The answer to your problem is: 1.58823529 m-1 I hope I helped!
We know that the lace is also what we would call the circumference of the circle.
And we also know that the circumference of a circle is represented by the equation:
.
We then can use the length of the lace (12.56 ft) to solve for the diameter (d) of the rug. Let us solve for that now:
We now know that the diameter of the rug is
4 ft.
