Let the three numbers be x, y, and z.
If the sum of the three numbers is 3, then x+y+z=3
If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9
If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5
This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5
First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3
Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4
Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2
So the three numbers are 2,-3, and 4.
Answer:
$3530.3541
Step-by-step explanation:
Given that:
Principal = 2200
Interest rate compounded annually (r) = 3%
Time (t) = 16 years
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
A = 2200(1 + 0.03)^16
A = 2200(1.03)^16
A = 2200 * 1.60470643909878751793
A = $3530.3541
Hence, amount in account on his 16th birthday will be $3530. 3541
Answer:
FALSE
Step-by-step explanation:
In order to be consistent with the system of unit we should decide if we are going to work with the CGS system <em>(centimeter-gram-second)</em> or the MKS system <em>(meter-kilogram-second).
</em>
If we decide to work with the CGS system, the equation of motion would be
8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0
since 1 Kg = 1,000 g
If we decide to work with the MKS system, the equation of motion would be
8x ′′ + 2x = 0; x(0) = 0.03, x ′ (0) = 0
given that 1 mt = 100 cm
Answer:
15/2
Step-by-step explanation:
My interpretation of your math expression is "2 1/2 divided by 1/3."
I prefer to write this as:
5 1
----- ÷ -----
2 3
which is equivalent to:
5 3
----- * ----- = 15/2
2 1
1,4
—— —> 1 divided by -3 or 4 divided by -2
-3,-2
