Answer:
60
Step-by-step explanation:
interior angles for a triangle is 180°
180 ÷ 3 sides = 60°
<h3>
Answer: (1,3)</h3>
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Explanation:
Note that the two shaded regions overlap to form the darker shaded region. The point (1,1) is only in the green region, but not in the blue region. It needs to be in both regions for it to be a solution to the system. In contrast, the point (1,3) is on the boundary of the blue region and in the green region as well. It's a solution point because of this.
Points on the boundary are included because of the "or equal to" as part of the inequality sign. Hence the solid boundary lines rather than dashed boundary lines.
The solution (1,3) means that x = 1 and y = 3 pair up together. It says that Cody can buy x = 1 hotdog and y = 3 packs of peanuts so that he has at least 4 snacks, and he stays within the $7 budget.
Going back to (x,y) = (1,1) for a moment, this isn't a solution because x+y = 1+1 = 2 is not 4 or larger. In other words, he only buys 2 snacks here instead of 4 or more.
Answer:
B and E are the correct answers.
Step-by-step explanation:
By using the slope formula of y₂₋y₁ / x₂₋x₁ you can find out that the slope is ₋7/4.
Next pick a point to put into point-slope form.
Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope.
Substitute both points into the formula (separately) to get B and E as your answers.
Hope this helps!
Answer:
Step-by-step explanation:
Matured amount of $200000 at 4% compounded quarterly after 3 years
= $200000 x ( FVIF , 1 , 12 )
= $200000 X 1. 1268
= $225360 .
Matured amount of $210000 at 3% compounded semiannually after 2 years
= $210000 x ( FVIF , 1.5 , 4 )
= $210000 X 1. 1268
= $225360 x 1.0614
= $239197
Total amount after maturity
= $225360 + $239197
= $464557
Matured amount of $464557 at 2% compounded annually after 7 years
= $464557 x ( FVIF , 2 , 7 )
= $464557 x 1.1487
= $533636.6
This amount is more than his target amount of 500000.00 So she meets the goal .
32.50+4.50x
You are going to pay $32.50 no matter what, that is what you pay for basic cable. $4.50 is what you pay for the extras, so depending on how many premium channels you want, you will pay $4.50 for every extra channel, which is why it is 4.50x because the x is how many premium channels you purchase that month.
