Answer:
Mark has 13 marbles
Don has 40 marbles
Step-by-step explanation:
Let the number of Mark's Marbles = M
Let the number of Don's Marble = D
D = 1 + 3M - - - - (1) (Don has 1 more than 3 times the number of marbles Mark has)
D + M = 53 - - - - - (2) (total number of marbles is 53)
puttin the value of D from equation (1) into equation (2)
(1 + 3M) + M = 53
1 + 3M + M = 53
1 + 4M = 53
4M = 53 - 1 = 52
4M = 52
M = 52 ÷ 4
M = 13
finding D by putting the value of M (M = 13) into equation 1
D = 1 + 3M - - - - (1)
D = 1 + 3 (13)
D = 1 + 39
D = 40
∴ Mark has 13 marbles
Don has 40 marbles
Given:
Initial value = 25,000
depreciation = 15% per annum based on net book value
Net book value = 25,000 (1 - 0.15)^t
where t is the number of years
NBV = 25,000 (0.85)^5
NBV = 25,000 (0.4437)
NBV = 11,092.50
The approximate value of the car 5 years from date of purchase is 11,092.50
The equation of the unit circle is
x^2 + y^2 = 1
If x = 5/8, then solving for y
(5/8)^2 + y^2 = 1
y^2 = 1 - 25/64
y^2 = 39/64
y = sqrt(39/64)
We use the positive square root because positive x-coordinate and positive y-coordinate is in the first quadrant.
Therefore the answer to this question is sqrt(39)/8
The slope formula is y2-y1/x2-x1 so if you plug in the numbers you get 3/5. the slope is 3/5
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