Answer:
1) Rizza's average speed is 27 km/h.
2) The distance between Barretto and Pampanga is 294 km.
3) Aaron's journey was 3.5 hours long.
Step-by-step explanation:
1) Time taken to cove the distance = 20 minutes
60 minutes = 1 hour
So that, 20 minutes =
hours
=
hours
Distance covered = 9 km
But,
speed = 
Rizza's average speed = 9 ÷ 
= 9 x 3
= 27 km/h
Rizza's average speed is 27 km/h.
2) Time taken = 3.5 h
the car's average speed = 84 km/h
Distance between Barretto and Pampanga = average speed x time taken
= 84 km/h x 3.5 h
= 294 km
The distance between Baretto and Pampanga is 294 km.
3) The uniform speed implies that Aaron did not accelerate during his journey.
Distance covered = 210 km
uniform speed = 60 km/h
time taken = 
= 
= 3.5 hours
Aaron's journey was 3.5 hours long.
Answer:
See explaination for the prove of the statement.
Step-by-step explanation:
To establish this prove, lets refer back to what we already know.
We know that "If the set of reactions {d1,d2,d3,......dn} in a vector space V over a field f be linearly dependent, then atleast one of the vectors of the set can be expressed as a linear combination of the remaining others.
Please kindly go to attachment for a detailed step by step explaination of the prove.
Answer:
<h2>
<u> 3.2%</u></h2>
Step-by-step explanation:
Step one:
given data
principal P= $1800
time t= 1 year
Final amount A=1857.60
rate r=?
Step two:
we are expected to solve for the rate, let assume the investment is a simple interest type.
A=P(1+rt)
solve for r we can substitute our data
1857.60=1800(1+r*1)
1857.60=1800+1800r
1857.60-1800=1800r
57.6=1800r
r=57.6/1800
r=0.032
0.032*100= 3.2%
<u>This shows that the rate is 3.2%</u>