Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
Answer:
$522.99
Step-by-step explanation:

Fv = total amount plus interest over the given period of time
P = Principal amount deposited i.e $500
r = interest given 1.5% i.e 0.015
n = period of time the principal remains deposited. In this case annually i.e 12 months


FV = $522.99
Answer:

Step-by-step explanation:
Hi there!

Solve -2^2:

Divide both sides by -4:

Subtract 10 from both sides:

Divide both sides by -5:

Therefore, x = 7.
I hope this helps!
Answer:
95%
Step-by-step explanation:
About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.
P(z1<Z<z2)=P(-2<Z<2)
P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)
P(-2<Z<2)=0.4772+0.4772
P(-2<Z<2)=0.9544
Thus, About 95% of the area is between z2 and z2