Answer:
p= 8
Step-by-step explanation:
1/2 p = 4
p = 2(4)
The answer <span>5 was added to each side.
</span>
x² + 5x + 126 = x² + 17x + 66
____
Subtract x² from both sides:
x² + 5x + 126 - x² = x² + 17x + 66 - x²
5x + 126 = 17x + 66
126 - 66 = 17x - 5x
60 = 12x
x = 60/12
x = 5
Thus, <span>5 was added to each side.</span>
Original-spent=left
original-36=44
add 36 to both sides
original=80
it was $80
<h2>Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. This is a rectangular prism its base is a rectangle. multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
Therefore, Associative Property can be used to mentally find the volume of the prisms shown by selecting the easier way of the multiplication. For instance, we can say that:
In whose case:
To operate this mentally is not an easy way, but<em> what if we rotate this shape? </em>so we say that:
Then, the volume can be found as:
There are two forms of finding the result. First, multiplying 18 by 20 and then the result by 5, but as in the previous case this is a tricky way to do mentally:
Hence, here we can use Associative Property multiplying 20 by 5 and then the result by 18:
This last arrangement is easier because 20 x 5 is easy to remember given that the result is 100. Then, by multiplying this result by 18 then we get 1800.
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
Part 1)
substitute in the formula above
Part 2)
substitute in the formula above