Answer:
The top speed of William's boat was 45 mph
Step-by-step explanation:
Let
x -----> represent the rate of the boat in still water in mph
we know that
The speed or rate is equal to divide the distance by the time
speed=distance /time
time=distance/speed
<em>Downstream</em>
speed=(30+x) mph
distance=10 mi
time1=10/(30+x)
<em>Upstream</em>
speed=(x-30) mph
distance=2 mi
time2=2/(x-30)
The sum of the time downstream plus the time upstream must be equal to 16 minutes
Convert minutes to hours
Multiply by (x+30)(x-30) both sides
Multiply by 60 both sides
Divide by 16 both sides
The solution is x=45\ mph
Hello :
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
The correct answer to this question is letter "<span> C. There may be other hitters in the 320s, but they didn't make the top 30." </span>his distribution of data shows lots of lifetime averages in the middle classes, but tails off sharply at both the upper and lower ends. The statement that best explains the fact that there are very few averages in the lowest class is that t<span>here may be other hitters in the 320s, but they didn't make the top 30.</span>
Hello!
First of all, we can subtract the stretching time. This gives us 20. If we divide by the four laps we get 5 minutes per lap.
Now, one lap is 400 meters (most tracks are), which is equal to 15,748.03 inches. This means it takes her five minutes to walk 15,748.03 inches. This is also equal to 300 seconds, so it takes her 300 minutes per 15,748.03 inches.
But if we round our big inches number to the nearest ten thousandth, we get 16,000, so in a simpler form her pace is 300/16,000. But we need to find in per second. Therefore we will divide by 300 to find how many inches she walks per second. This means she walks about 53.33 inches per second.
I hope this helps!
9514 1404 393
Answer:
A) $1350
B) $5850
C) $162.50
Step-by-step explanation:
A) The interest is given by the formula ...
I = Prt
where P is the principal amount, r is the interest rate, and t is the number of years.
I = $4500×0.10×3 = $1350
The interest owed is $1350.
__
B) At maturity, the principal and interest are due. That amount is ...
$4500 +1350 = $5850
The maturity value is $5850.
__
C) If the maturity value is paid in 36 equal monthly installments, each is ...
$5850/36 = $162.50
The monthly payment is $162.50.