Answer:
The interest when rate is 5.2% is $48.88
Step-by-step explanation:
if interest (I) varies directly as interest rate (R)
Then
I ∝ R
I=cR
c= constant
if interest is $47 when interest rate is 5%
47 =.05c
c = 940
if interest rate is 5.2% then
I = 940 x .052
=48.88
=$48.88
Answer:
hjgjhgjhghjg
Step-by-step explanation:
ghjjgjesw54t32r3yggtfucgkyoughrhhfgh
Answer:
13
Step-by-step explanation:
a pair=2
so 25/each pair of towns
25/2=12+1=13
Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
Convert all into a fraction and you will get 115/100+1/50+47/40
So your answer is 469/200 or 2.345 as a decimal
