1st day he ran30. 2nd day he ran 35 3rd day he ran 35 and fourth day he ran 45 so 30+35+35+45 =145 minutes all together he ran
Answer:
$11,500 was invested at 13%.
$17,500 was invested at 4%
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:
Loans totaling 29,000.
P was invested at 13%
29000 - P was invested at 4%.
First investment:
Principal P.
Interest 13% = 0.13.
One year, so t = 1.
So


Second investment:
Principal 29000 - P.
Interest 4% = 0.04.
One year, so t = 1.
So

The total interest earned for both loans was $2,195.00.
This means that 
So

So we solve the following system:







$11,500 was invested at 13%.
29000 - 11500 = 17500
$17,500 was invested at 4%
<h3>
Answer: 216 miles</h3>
=======================================
Work Shown:
d = distance from work to his house
x = speed when weather is good
y = speed when weather is bad
y = x-6 since he travels 6 mph slower
------------------------
On a good weather day, he travels for 4 hours and goes at x mph
distance = rate*time
d = r*t
d = x*4
d = 4x
----------------------
On a bad weather day, he travels 4.5 hours (half hour more than 4 hrs) and goes at y = x-6 mph
d = r*t
d = y*4.5
d = 4.5y
d = 4.5(x-6) .... replace y with x-6
d = 4.5x-27 .... distribute
----------------------
The values of d for both equations are the same, as the biker is traveling the same distance. So we can equate the two right hand sides (RHS) and solve for x.
4.5x-27 = 4x
4.5x-4x = 27
0.5x = 27
x = 27/0.5
x = 54
The biker's speed on a good weather day is 54 mph.
A bad weather day's speed would be y = x-6 = 54 - 6 = 48 mph.
----------------------
Now compute the value of d
d = 4x
d = 4*54
d = 216
The biker travels 216 miles on a good weather day
or,
d = 4.5*y
d = 4.5*48
d = 216
the biker travels that same distance on a bad weather day.
Answer:
a
Step-by-step explanation:
r = 2.5 in
V = 4(3.14)
/3 = 