Answer:
< - 5, 3.5 >
Step-by-step explanation:
A single translation is required to map A onto B
Consider the point (5, 3 ) on A and the corresponding point (0, 6.5) on B
the translation is < 0 - 5, 6.5 - 3 > = < - 5, 3.5 >
Answer A
Step-by-step explanation:
Because there is a zero at the begining.
Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[set r = 1.5 m]
⇒ 
⇒ 
m
One revolution of the water wheel corresponds to 
meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
= 
/min
Using this result, the speed of the river in kilometers per hour will be:
× 
× 
⇒ 
⇒ 
≈ 
km/h
9514 1404 393
Answer:
$10,308.92 interest earned
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^n
where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...
A = $35,000(1 +0.0972/12)^32 = $45,308.92
The interest earned is the excess of the balance over the original investment:
interest = $45,308.92 -35,000 = $10,308.92
