Answer:
t = In2/ r
Step-by-step explanation:
Given the formula : A = Pe^rt
For investment to double ;
Final amount (A) = 2 * initial investment (p)
A = 2p
Hence,
2p = pe^rt
2 = e^rt
Take the In of both sides
In2 = rt
Divide both sides by r
In2 /r = rt /r
In2/ r = t
t = In2/ r ; Hence, the proof
Answer:
The number of solutions to the given set of equations is 0.
Step-by-step explanation:
Number of solutions of a system of equations:
System of equations: ax = b
If a = 0 and b = 0, infinite solutions.
If a = 0 and b != 0, zero solutions.
If a != 0 and b != 0, one solution.
We are given the following system of equations:
y = 7x + 12
y = 7x + 2
So
7x + 12 = 7x + 2
7x - 7x = 2 - 12
0x = -10
a = 0, b != 0, so zero solutions.
The number of solutions to the given set of equations is 0.
ANSWER
C. If it is not night, then the street lights will not come on.
EXPLANATION
The given statement is
"If it is night, then the street lights will come on"
Given the statement,
"If p, then q",
then the inverse of this statement is
"If it is not night,then the street lights will not come on"
"If not p, then not q"
The correct choice is C.
First, make an equation.
y=4/5x-95
The first shift makes 1000 CD players, while the second shift makes 705 CD players.
Answer:
3x-5 and r=0
Step-by-step explanation:
We can do it by long division method the required quotient is 3x-5 and r=0
not 3x-1 , r=1
multiply the divisor with 3x we will get to cancel out the first term of dividend
Now after solving we will get
Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.
