Answer:
15 seconds
Step-by-step explanation:
If you make a table of values for the dog and the squirrel using d = rt, then the rates are easy: the dog's rate is 150 and the squirrel's is 100. The t is what we are looking for, so that's our unknown, and the distance is a bit tricky, but let's look at what we know: the dog is 200 feet behind the squirrel, so when the dog catches up to the squirrel, he has run some distance d plus the 200 feet to catch up. Since we don't know what d is, we will just call it d! Now it seems as though we have 2 unknowns which is a problem. However, if we solve both equations (the one for the dog and the one for the squirrel) for t, we can set them equal to each other. Here's the dog's equation:
d = rt
d+200 = 150t
And the squirrel's:
d = 100t
If we solve both for t and set them equal to each other we have:

Now we can cross multiply to solve for d:
150d = 100d + 20,000 and
50d = 20,000
d = 400
But we're not looking for the distance the squirrel traveled before the dog caught it, we are looking for how long it took. So sub that d value back into one of the equations we have solved for t and do the math:

That's 1/4 of a minute which is 15 seconds.
The length of the arc is 1.06m. hope that helps!
Answer:
x=6
Step-by-step explanation:
Hope it was right
Answer:
No
Step-by-step explanation:
You want to calculate the interest on $550 at 2.1% interest per year after 4 years.
The formula we'll use for this is the simple interest formula, or:
I = P x r x t
P is the principal amount, $550.00.
r is the interest rate, 2.1% per year, or in decimal form, 2.1/100=0.021.
t is the time involved, 4 years.
So, t is 4 year time periods.
To find the simple interest, we multiply 550 × 0.021 × 4 to get that:
The interest is: $46.20