Answer:
(1 , -2)
Step-by-step explanation:
The intersecting point of two lines is the solution
Elga's age = x
Alvin's age = x + 7
x + x + 7 = 97.
Simplify the left side of the equation
2x + 7 = 97.
Subtract 7 from each side
2x = 90.
Divide each side by 2
x = 45
Since x is equal to Elga's age, Elga is 45 years old
Part A:
To get the interest of 1 year
Multiply 20,000 by 5% or 0.05
You get $1,000
Thats the amount for 1 year, now to get for 4 years, multiply 1,000, by 4
She pays $4,000 in interest
Part B:
If she pays it off in 2 years, instead of 4 years, she will pay an interest of $2,000, divide 4 by 2
Part C:
This is the same as part b, she saves $2,000
Hope this helps
-GoldenWolfX
True. The velocity is changing because the direction is changing. Velocity is the combination of speed and direction. The change in velocity leads to a change in acceleration.
Volume of a sphere and a cone
We have that the equation of the volume of a sphere is given by:

We have that the radius of a sphere is half the diameter of it:
Then, the radius of this sphere is
r = 6cm/2 = 3cm
<h2>Finding the volume of a sphere</h2>
We replace r by 3 in the equation:

Since 3³ = 3 · 3 · 3 = 27

If we use π = 3.14:

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:
4.18666... ≅ 4.19
Then, we have that:

Then, we have that:
<h2>Finding the volume of a cone</h2>
We have that the volume of a cone is given by:

where r is the radius of its base and h is the height:
Then, in this case
r = 3
h = 6
and
π = 3.14
Replacing in the equation for the volume:

Then, we have:
3² = 9

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³