Answer:
-45
Step-by-step explanation:
The expression is:

We start by adding the two terms within parentheses:

Therefore

Now we multiply
with
, which gives
, so

And finally, adding the two terms, we find

$116.02 interest will be earned in 9 months
Step-by-step explanation:
The formula for simple interest is given by:

Here
P is the initial amount
r is the interest
t is the time measured in years
Given
P = $2475
r = 6.25% = 
t = 9 months
Converting time into year by dividing by 12

Putting the values in the formula

Rounding off to nearest hundredth
I = $116.02
Hence,
$116.02 interest will be earned in 9 months
Keywords: Interest, simple interest
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Answer:
a. 145 liter bottles (There were 2 bottles remaining)
Step-by-step explanation:
From this question, the total number of bottles that Zach had to fill with apple cider is 581.
He has to distribute these bottles to 4 stores after filling
The question says each store received same number of bottles.
To get the number of bottles received by each store, we divide 581 by 4
= 581 / 4
= 145.25
Therefore each store gets 145 bottles each and there would be a remainder of 2 bottles
Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)

Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate