Answer:
Order from the greatest yield to the least as follows
1. Situation B=$2,119.8949
2. Situation A=$2,095.3078
3. Situation C=$2,022.7789
Step-by-step explanation:
Situation A
A=P(1+r/n)^nt
=500(1+0.12/12)^12*12
=500(1+0.01)^144
=500(1.01)^144
=500(4.1906155936008)
=$2,095.3078
Situation B
A=P(1+r/n)^nt
=500(1+0.1/4)^4*15
=500(1+0.025)^60
=500(1.025)^60
=500(4.3997897488150)
=$2119.8949
Situation C
A=P(1+r)^t
=500(1+0.15)^10
=500(1.15)^10
=500(4.0455577357079)
=$2022.7789
Order from the greatest yield to the least as follows
1. Situation B=$2,119.8949
2. Situation A=$2,095.3078
3. Situation C=$2,022.7789
Answer:
a=2
Step-by-step explanation:
Firstly, in order to simplify the expression, we should aim to combine the two terms given. In order to do this, both must have the same denominator. We can give them the same denominator by multiplying the second term
by
. This way the fraction value remains the same but now has the same denominator as the first term:

From here we can now combine the two terms:

Therefore, a = 2.
Hope this helped!
Answer:
B. 44.93
Step-by-step explanation:
The law of sines states

where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c
In this particular problem we have
side a = 44, angle A = 46.7
side c = ? , angle C = 48
So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)
c = sin(48) * 44/sin(46.7) = 44.92937 which is 44.93 rounded to 2 decimal places
Answer:
Piece 1: 2ft
Piece 2: 6ft
Step-by-step explanation:
x+3x=8
4x=8
x=2
So piece one is 2 feet, three times piece one is 6 feet.
9514 1404 393
Answer:
8. no, no, yes, yes
9. see attached
Step-by-step explanation:
8. Slope-intercept form is ...
y = mx + b . . . . . . . where m is the slope, and b is the y-intercept
You will notice that y is by itself on the left side of the equation, and that there are two terms: an x-term and a constant.
The first two equations are NOT in slope-intercept form.
The last two equations ARE in slope-intercept form.
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9. The values of 3x-1 and y are the same. They are shown in the attached table.
The corresponding (x, y) pairs are (-2, -7), (-1, -4), (0, -1), (1, 2), (2, 5). In each pair, the x-value (first number) comes from the x-column of the table. The y-value (second number) comes from the f(x)- or y-column of the table.