The tires are similar in shape. This means that if they undergo the same number of revolutions, the ratio of the distances covered would be equal to the ratio of the radius of each tire.
From the information given,
radius of tire 1 = 9
distance covered by tire 1 = 8482
let radius of tire 2 = r
distance covered by tire 2 = 5654
Thus,
8482/5654 = 9/r
By crossmultiplying, we have
r * 8482 = 5654 * 9
8482r = 50886
r = 50886/8482
r = 5.9993
By rounding to the nearest whole number,
radius of second tire = 6 inches
We need I = prt, where p = principle, I = interest, r = interest rate and t = time (in years).
I = prt
14 = 100r(1)
We now solve for r.
14 = 100r
Divide both sides by 100 to isolate r.
14/100 = 100r/100
0.14 = r
Now change 0.14 to a percent multiplying by 100.
100(0.14) = r
14 = r
The interest rate is 14%.
Answer:
<h2>y = 2x - 1</h2>
Step-by-step explanation:
It's an equation of a line in the slope-intercept form.
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
<em />
Choose any two ordered pairs (x, y) from the given table.
(0, -1) → <em>b = -1</em>, (2, 3).
Calculate the slope.
Use the formula:
Substitute the coordinates of the points:
Finally:
The value of xy = 1800
<u>Step-by-step explanation:</u>
The product of x and y can be found by using the formula,
Greatest common factor of x and y × least common multiple of x and y
That is,
GCD of x & y multiplied by LCM of x & y we will get xy.
xy = 10 × 180 = 1800
Thus we can conclude the value of xy = 1800