Answer:
3. The x-coordinate of point P is 6. Since P(6,1).
4. Area of rectangle is 32 square units.
Step-by-step explanation:
3. The directed segment AB on the Cartesian plane shows that it has a length of 6 units. Since point P partitions the segment in a given ratio 2:1, then its coordinate would be the one that divides segment AB into 4:2. This coordinate is (6, 1). Thus, the x-coordinate of point P is 6.
4. The appropriate sketch of the rectangle in a Cartesian plane shows that;
AB = DC = 4 units
AD = BC = 8 units
Area of rectangle = length x width
= 8 x 4
= 32 square units
The area of the rectangle is 32 square units.
Answer:
D. They have the same slope ( rate of change) and the same y-intercept.
Step-by-step explanation:
I y = 1.2x + 0.4.
II The slope is (10-4)/(8-3) = 6/5= 1.2.
Its equation is
y - 4 = (1.2)(x - 3)
y = 1.2x - 3.6 + 4
y = 1.2x + 0.4.
Given that <span>Martin's unpaid credit card balance was $1539.39 and his APR is 13.2%.
APR is the annual interest rate, to get the monthly interest rate, we divide the APR by 12.
Thus, monthly interest rate is </span>

The interest charge for the month is given by

, where P is the previous balance, i is the monthly interest rate.
Thus, interest charge is

The balance after the monthly interest charge = $1,539.39 + $16.93 = $1,556.32
Therefore, the balance after the new transaction is given by $1,556.32 + $178 = $1734.32
Answer:m<$23.09
Step-by-step explanation: This question is tricky as there are unexplained variables.
Travis plans spending $143.15 every month but only two expenses were given to us, so other possible expenses may or may not be expended in this particular month.
That’s why we must include an inequality here.
Okay, back to the question.
Travis plans spending 5.2 times movie money on video games, my kinda dude.lol
Hence, 5.2m=v
m=movie budget
v=video games budget
But m+v<=143.15, the total proposed budget. Let’s replace v with 5.2m,
We have,
m+5.2m<=143.15
6.2m<=143.15
m<=23.0887
(We’ll have to approximate to the nearest cent)
m<$23.09