Answer:
(x^2)-4
Step-by-step explanation:
expand using the distributive property of multiplication
Answer:
The values of x = y = z = 1
Step-by-step explanation:
Given three linear equation as ,
x + 2y + z = 4 .......a
4y - 3z = 1 .......b
y + 5z = 6 ........c
Now solve eq a and b first
4y - 3z = 1 × 5
y + 5z = 6 × 3
Or, 20y - 15z = 5
3 y + 15z = 18
so ,(20y - 15) + (3y +15 ) = 5 +18
or, 23 y = 23
∴ y = 1
Now put this y value in eq c
so , 1 + 5z = 6 ,
Or, 5z = 6-1 =5
∴ z = 1
Again put this y and z value in eq a
so, x + 2(1) + (1) = 4
Or, x = 4 -3
∴ x = 1
Hence from the above solutions , the value of x = y =z = 1 Answer
Nine is the answer cuz it equals 27 then subtract 2 equals 24
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
