speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
The answer is obtuse
a = 4
b = 28
c = 31
If a² + b² > c² - the angle is acute
If a² + b² < c² - the angle is obtuse
If a² + b² = c² - the angle is right
a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961
800 < 900
a² + b² < c²
Therefore, the angle is obtuse
Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
represent the total population, and
represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>

The population next year will be 118,976 people.
Answer:
$1382
3455 is 5/7 of salary so divide 3455/5 = 691
then multiply 691x2 because rent is 2/7 of salary
691x2 = 1382
0.941176471 to the nearest hundredth is 0.94