Answer:
We have
Stock = $200
Bonds = $100
Substitute these values into 1.08s+1.02b, where 's' is stock and 'b' is bond
.() + .() =
Predicted end of year value is $318
A) Your primary concerns are the points B and E, so y> .5x+4 and y>or= x-4B) choose one or both points, and enter them into the equations. If the statements are true, then the equations work
for problem C So, any point in the shaded area, but not on the line, are valid points for Natalie's school
Answer and explanation:
We know the sum of interior angles in a triangle is 180°.
- 1 : 2 : 3 = 6 (1 + 2 + 3)
- x : y : z = 180 (x, y and z are the unknown angles)
To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:
- 1 × 30 = 30°
- 2 × 30 = 60°
- 3 × 30 = 90°
The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.
The ratio is 30 : 60 : 90.
Hope this helps!
<u>We are given:</u>
The function: y = -16t² + 64
where y is the height from ground, t seconds after falling
<u>Part A:</u>
when the droplet would hit the ground, it's height from the ground will be 0
replacing that in the given function:
0 = -16t² + 64
16t² = 64 [adding 16t² on both sides]
t² = 4 [dividing both sides by 16]
t = 2 seconds [taking square root of both sides]
<u>Part B:</u>
for second droplet,
height from ground = 16 feet
time taken = t seconds
acceleration due to gravity = 10 m/s²
initial velocity = 0 m/s
h = ut + (1/2)at² [second equation of motion]
16 = (0)(t) + (1/2)(10)(t²)
16 = 5t²
t² = 16/5
t = 1.8 seconds (approx)
Therefore, the second droplet takes the least amount time to hit the ground
