Leticia made a mistake in her step 2. She did subtraction before multiplication.
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<h3>How to simplify an expression?</h3>
The expression can be simplified as follows;
4.5 ÷ 0.25 + 2.5 - 0.75 × 8
Hence, using Pemdas rule,
4.5 ÷ 0.25 + 2.5 - 0.75 × 8
18 + 2.5 - 0.75 × 8
18 + 2.5 - 6 = 14.5
Therefore, she made mistake in her step 2 because she was suppose to solve the multiplication before subtraction.
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Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
Step-by-step explanation:
Let's find the discriminant 
It is a positive number, therefore there are 2 solutions
Step-by-step explanation:
an arithmetic sequence means that every new term is the old term plus a constant number.
in our case that constant is +50.
and our starting value a0 = 250
so, the first 4 terms are
$250, $300, $350, $400
for the function formula we know
a0 = $250
a1 = a0 + 50 = 250 + 50 = $300
a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350
a3 = a2 + 50 = a0 + 3×50 = $400
so, we see
an = a0 + n×50 = 250 + 50n
therefore,
f(n) = 250 + 50n
after 9 months saving we reached a9, meaning n=9.
f(9) = 250 + 50×9 = 250 + 450 = $700
Answer:
$3220
Step-by-step explanation:
A man invests $1000 in a 12-month certificate of deposit paying 8% interest.
So, after 1 year his money will become from the certificate deposit = $
Again the man invest $2000 in municipal bonds that pays 7% a year.
So, after 1 year his money will become from the municipal bond = $
Therefore, total yearly return from both the above investment will be $[(1080 + 2140) -(1000 + 2000)] = $220 (Answer)
