I find it convenient to look at the differences and the rate at which those differences are made up.
8. Jim is closing the $150 gap at the rate of $7.50 per week. He will catch up in
... 150/(7.5/week) = 20 weeks
9. At noon, the price of Stock A has increased by 0.05×3 = 0.15, so is now $15.90, which is $0.63 more than Stock B at that time. The prices are closing the gap at the rate of $0.05 +0.13 = $0.18 per hour, so will be the same after
... $0.63/($0.18/hour) = 3.5 hours . . . . after noon, at 3:30 pm
_____
You can also write and solve equations for the prices of the stocks. Or you can use a graphing calculator to tell you the solution. When equations are involved, I like to solve them the simplest possible way: let technology do it.
You are given the value at a time, and the rate of change of that value, so the equations are easily written in point-slope form. You will note that the common price at 3:30 pm (15.5 hours after midnight) is one that is not a whole number of cents. (That's usually OK for when trading stocks.)
1. 66.60
2. 48.00
3. 71.40
4. 2.95
5. 3.35
6. 2.50
7. 16.75
8. 6.66
9. 583.30
10. 13.00
11. 18.65
14. 26.98
Hope this could help
Ok first you need to get a common denominator of 3 and 5 the smallest one would be 15 so then you rewrite both but remember if you do something to the bottom u have to do it to the top so you multiplied 3by 5 to get 15 to get your bottom then you have to times 5by 1 to get 5. So 5/15,same process for 3/5
5/15+ 9/15=9+5=14 so 14/15 (you keep the bottom the same) also it doesn’t need to be simplified because nothing can go into 14and 15 evenly
Same process for subtracting just subtract in the end so...
30/35-14/35= 16/35 also can’t be simplified evenly
In the end your answers are
1.14/15
2.16/35
Answer:
m<1 = 100 (C)
m<2 = 50 (B)
Step-by-step explanation:
The triangle with two 50degree angles is triangle1, the other triangle (with a 60degree angle) is triangle2.
Let us also call the third angle in triangle1, <x, and the verticle angle to x (when two lines intersect, 4 angles are formed, the angles opposite each other are verticle angles, and they are congruent (the same measure)), <y.
The sum of measures of angles in a triangle is 180 degrees,
using this we can say:
50 + 50 + m<x = 180
simplify
100 + m<x = 180
inverse operations
100 + m<x = 180
-100 -100
m<x = 80
Remember, a straight angle has 180degrees in measure.
As per the picture, <x and <1 add up to form a straight angle.
Using this, form an equation:
m<x + m<1 = 180
substitute
80 + m<1 = 180
inverse operations
80 + m<1 = 180
-80 -80
m<1 = 100
Remember what was said earlier about verticle angles being congruent. This means that m<x = m<y = 80. This can be used to an advantage when setting up an equation:
50 + m<y + m<2 = 180
substitute
50 + 80 + m<2 = 180
simplify
130 + m<2 = 180
inverse operations
130 + m<2 = 180
-130 -130
m<2 = 50
Area = pi r 2
r=10.3
a= pi*10.3^2
a=333.3
