Answer:
=13p+7
Step-by-step explanation:
Let's simplify step-by-step.
5p+11+8p−4
=5p+11+8p+−4
Combine Like Terms:
=5p+11+8p+−4
=(5p+8p)+(11+−4)
=13p+7
Answer:
$540
Step-by-step explanation:
We are given that the initial balance in the bank account is $270.
We are then told that every month $45 is added to the account.
To find the equation that tells us the balance at any point in time assuming no interest is added or money is taken out, we can first understand the constant, y=270.
This gives us the initial value of the balance and any changes to the balance will start from this point.
Let x be the time in months.
if we let y=270 + 45x, we find the value of the function accounting for the addition of money every month.
Assuming money is put in during January; substituting the number of months as x=6 (since it is June), we can find the balance in June.
y=270 +45(6)=540
Hence, the balance in June is $540
Answer:
Yes.
Step-by-step explanation:
83/100=0.83 : )
Answer:
< 2.11, 4.53 >, < -3.03, -1.75 >, <2.93 cos 108.26, 2.93 sin 108.26 >
Step-by-step explanation:
First, let's decompose Bruce's velocity along the x- and y- direction. Bruce is moving 5 m/s at 25 degrees east of north, so its angle with respect to the positive x-direction is actually 90 - 25 = 65 degrees. So its components are
So, Bruce's vector is
< 2.11, 4.53 >
The current is moving 3.5 m/s at an angle 60 degrees west of south, which means an overall angle of 210 degrees, measured counterclockwise from the positive x-axis. So, the components of the current's velocity are
So, the current's vector is
< -3.03, -1.75 >
Finally, we can add the components of the two vectors to find Bruce's actual velocity:
So, Bruce's actual velocity is
< -0.92, 2.78 >
The magnitude is
And the direction is
Answer:
21.73
Step-by-step explanation:
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