9514 1404 393
Answer:
(x, y, z) = (-1, 0, -3)
Step-by-step explanation:
We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.
Adding equations 1 and 2:
(2x -3y -2z) +(x +3y +2z) = (4) +(-7)
3x = -3
x = -1
Adding equations 2 and 3:
(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)
-3x -y = 3
Substituting for x, we get ...
(-3)(-1) -y = 3
0 = y . . . . . . . . . . . add y-3 to both sides
Then z can be found from any equation. Substituting for x and y in the second equation gives ...
-1 +2z = -7
2z = -6 . . . . . add 1
z = -3 . . . . . .divide by 2
The solution is (x, y, z) = (-1, 0, -3).
In order to calculate the compound amount and the amount of interest earned, we can use the formula below:
Where A is the compound amount after t years, P is the principal (initial amount) i is the interest rate and n is how many times the interest is compounded in a year.
So, for P = 71000, i = 0.0102, t = 4 and n = 4, we have:
Therefore the compound amount is $73952.87
The amount of interest is:
So the amount of interest earned is $2952.87.
Answer:
You're answer has be written as an inequality, therefore it would be;
=> p ≥ -17
Hope this helps!
Answer:
a=1
Step-by-step explanation:
Multiply all terms by a and cancel:
6+−6a=3+−3a
−6a+6=−3a+3(Simplify both sides of the equation)
−6a+6+3a=−3a+3+3a(Add 3a to both sides)
−3a+6=3
−3a+6−6=3−6(Subtract 6 from both sides)
−3a=−3
−3a
−3
=
−3
−3
(Divide both sides by -3)
a=1
Answer:
a) nearest jump is JL = 1380 inches = 115ft
b) number of jumps in 1 mile N= 46 jumps
Step-by-step explanation:
Given that the jump length is proportional to the body length.
If 2 inch grasshopper can jump 40 inches.
JL = k(BL)
k = JL/BL
where JL = jump length = 40 inches
BL = Body length = 2 inches.
k = 40/2 = 20
The constant of proportionality is 20.
For the athlete :
BL = 5ft 9 inches = 5(12)+9 = 69 inches.
The jump length of the athlete is:
JL = k(BL) = 20(69)
JL = 1380 inches. = 115ft
The number of jumps in 1 mile is
1 mile = 63360 inches
N = 63360/1380
N = 45.9 = 46
N= 46
Therefore, 46 jumps would be needed.
