Answer:
60
Step-by-step explanation:
distance=80*45/60
=80*0.75
=60km
Answer:
The increase is 1150.
11.5 times the original value, or 1150% of it. That's a big increase, and I would not buy that thing, whatever it is.
Answer:
$7821.74
Step-by-step explanation:
Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.
We have to find the value of her investment after 6 years,
Now, using the formula for the compound interest we can get the value of her investment.
So, it will be 
Dollars (Approximate)
{Rounded to the nearest cent} (Answer)
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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