Lila did it correctly. The answer is 324
Following PEMDAS, we first focus on the parenthesis. So we simplify 9-3 to get 6
So we go from
18*4^2+(9-3)^2
to
18*4^2+6^2
The next step is applying exponents. In this case, squaring the terms, so we go from
18*4^2+6^2
to
18*16+36
Next is multiplying
18*16+36
turns into
288+36
Finally, add up 288 and 36 to get 288+36 = 324
That confirms that Lila is correct
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The error that Rob made is that he computed 18*4^2+9^2-3^2 but it is NOT correct. Saying (x-y)^2 = x^2-y^2 isn't a true equation for all x and y. Again you have to simplify what is in the parenthesis first, and then you can square it. Or you must use the FOIL rule to expand out (9-3)^2
Step-by-step explanation:
—x intercept, y = 0
y = 1/2 x + 2
0 = 1/2 x + 2
-2 = 1/2 x
-2.2 = x
-4 = x
X intercept = (-4 , 0)
—y intercept, x = 0
y = 1/2 x + 2
y = 1/2 . 0 + 2
y = 0 + 2
y = 2
Y intercept = (0 , 2)
Graph in the picture :)
Here, number of periods (years), n=5
Annual interest rate, i=0.05 (compounded yearly)
Present value/deposit, P=100
Future value of deposit = P(1+i)^n=100(1.05^5)=127.63 (to the nearest cent)
Answer: After 5 annual interest payments, Bob will have 127.63 in his account.
Answer:
A=28.26 in²
Step-by-step explanation:
We are given the formula for the area of a circle which is:
Which means:
Area = π*radius of circle²
The radius of a circle is the length from the center of the circle to the edge of the circle.
The image tells us the radius of the circle is 3 in and the questions asks us to use 3.14 for π, therefore...
A=3.14*3²
A=3.14*9
A=28.26 in²