Answer:
a) 8 seconds
b) 3 seconds
c) 170 meters
Step-by-step explanation:
a) When the ball lands in the sea, s = -80.
-80 = 30t − 5t²
5t² − 30t − 80 = 0
t² − 6t − 16 = 0
(t + 2) (t − 8) = 0
t = -2 or 8
t = 8 seconds
b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).
t = -b / (2a)
t = -30 / (2 × -5)
t = 3 seconds
c) The highest point is:
s = 30(3) − 5(3)²
s = 45
So the ball rises 45 meters, falls 45 meters, then falls 80 meters.
The total distance traveled is 45 + 45 + 80 = 170 meters.
Answer: 187500
Step-by-step explanation:
Interest= principal ×rate×time/100
Let interest be I
Principal be P
Rate be r
Time be t
So we have
I=p×r×t/100
P in the question is 150000
T is 1year
R is 25%
Substitute for the values
I=150000×1×25/100
Interest= 37500
To know the exact cost now
Add the interest to the principal cost
Exact value=interest +principal
Exact value =37500+150000
Exact value=187500
The cost of the house now is=187500
There are 16 red counters there.
<h3>Fractions and proportions</h3>
If one-quarter of the counters in a tub are red and the rest are green, then there are three-quarter of the counter in the tub.
Let the total counter be x such that
3/4x = 48
3x = 4 * 48
x = 4 * 16
x = 64
Determine the amount of red counter
Red counter = 64 - 48
Red counter = 16
Hence there are 16 red counters there.
Learn more on proportion here; brainly.com/question/1496357
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1. -1/5>-3/5 because we have like denominators we compare the inputs by the numerators.
2. 3/4 > 5/8 the least common denominator is: 8
Rewriting as equivalent fractions with the LCD:
3/4 = 6/8 5/8 = 5/8
Comparing the numerators of the equivalent fractions we have:
6/8 > 5/8
