15 + 14 + 14 + 11 + 2x + x = 75 Collect like terms 54 + 3x = 75 Subtract 54 3x = 21 Divide by 3 x = 7 ■
You cannot solve this equation without knowing the shape.
3 years zero coupon bond. face value $100 and present market value $75. What will be its Macualay Duration and Modified Duration?
In 3x = 96 - 75 the "x" stands for the number which, when multiplied by 3, equals the difference between 96 and 75. 96 - 75 = 21 If 3x = 21 then x = 21 divided by 3, or 7
3x = (96-75) 3x = 21So X = 7
15x = -75, x = -5
25X + 30 = 15X subtract 15X from each side 25X - 15X + 30 = 15X - 15X 10X + 30 = 0 subtract 30 from each side 10X + 30 - 30 = 0 - 30 10X = -30 divide both sides integers by 10 (10/10)X = - 30/10 X = - 3 ----------------check in original equation 25(- 3) + 30 = 15(- 3) - 75 + 30 = - 45 - 45 = - 45 ----------------checks
When there is a direct proportionality y = kx y = 75 k = 15 → 75 = 15x → x = 75/15 = 5
300.
10x-7y = -6 5x+7y = 81 Add both equations to eliminate y: 15x = 75 Divide both sides by 15 to find the value of x: x = 5 Substitute the value of x into the original equations to find the value of y: Therefore: x = 5 and y = 8
3x2 = 15x 3x2 - 15x = 0 x(3x - 15) = 0 x = 5 Check it. 3 x 25 = 75 15 x 5 = 75 It checks.
225 and if you mean both(all the numbers) it is 450
The answer is 450. Simply add the numbers together like you would for two plus two. To check your work, a calculator is the best option.
75
It depends on the value of 'x'. 'y' can have as many different values as 'x' can.
Let the number be x and so if x+13 = 75 then the value of x must be 62
75