Answer:
D
Step-by-step explanation:
So we have the equation:
And we want to find out which of the answer choices is <em>not</em> equivalent.
Thus, let's go through each of the choices.
A)
We have:
This is correct.
Our original equation can be written as:
And if we multiply straight across:
We'll get choice A. So choice A is correct.
B)
We have:
This is also correct.
From our original equation:
If we multiply the first term together:
We'll get choice B. So, choice B is correct.
C)
We have:
This is correct as well.
If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:
So, C is also correct.
D)
We have:
Note that this is not correct.
This attempted to use the distributive property. However, the distribute property does <em>not work</em> for multiplication. For instance:
However:
So, choice D is not equivalent.
So choice D is our answer :)
If we evaluate it, we will get 30, in contrast to the 60 of the others.
Answer:
757,576cents
Step-by-step explanation:
Given
Amount = $10000
Time = 4years
Rate = 8%
n = 1/4 year (compounded quarterly
Using the formula to get the principal
A = P(1+r/n)^nt
10000 = P(1+0.08/0.25)^4(1/4)
10000 = P(1+0.32)
10000= 1.32P
P = 10000/1.32
P = 7575.76
Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents
Answer:The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
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Step-by-step explanation:
Answer:
1) A system of two linear equations to represent this problem
x+y=20 and x-y=12
2) The numbers are x=16 and y=4
Step-by-step explanation:
Let x and y be the two numbers
Given that the sum of the two numbers is 20
That is 
and the difference is 12
That is 
1) A system of two linear equations to represent this problem
2). Noe Solve the system to find the 2 numbers:
Adding the equations (1) and (2) we get
_____________
2x=32
Therfore x=16
Now substitute x=16 in equation (1) we get
Therefore y=4
Therefore the numbers are x=16 and y=4
