Answer:
0.706....
Step-by-step explanation:
Answer:
FV= $4,725.74
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Number of periods (n)= 15 years
Interest rate (i)= 5.9% = 0.059
<u>To calculate the Future Value, we need to use the following formula:</u>
<u></u>
FV= PV*(1 + i)^n
FV= 2,000*(1.059^15)
FV= $4,725.74
Answer:
Step-by-step explanation:
Mathematically, we can calculate the slope
using the formula below;
m = (y2-y1)/(x2-x1)
Where (x1.y1) = (6,-8)
(x2, y2) = (3,-4)
So inputing these values into the formula, we have
m = (-4-(-8))/(3-6)
m = (-4+8)/-3 = 4/-3 = -4/3
Now, we want to write the equation of the line;
y= -4/3x + c
to get the value of c, we simply need to use any of the points. We use any of the two points by substituting the values of x and y at that point.
Let’s use (3,-4)
That would give ;
-4 = -4/3(3) + c
-4 = -4 + c
This means c = 0
Thus the equation of the line is y = -4/3x
Now to find out if the point (-3,4) is on the line
We only need to substitute the values of x and y here and see ;
Thus;
4 = -4/3(-3)
Sine 4 = 4
We can conclude that the point is on the line in question
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
In an arithmetic series, the value of the nth term is calculated using the equation,
an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.
In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice.