lorenzo rides his bike at a rate of 5 yards per second. about how many miles per hour can lorenzo ride his bike

$5,000.00 invested for a period of 6 years doubles to $10,000.00.
What is the interest rate?

You will need to apply logarithms:
<span>log(1 + rate) = {log(total) - log(Principal)} ÷ Years
</span>log(1 + rate) = <span>{log(10,000) - log(5,000)} ÷ 6
</span>log(1 + rate) = (4 - 3.6989700043) / 6
log(1 + rate) = <span> <span> <span> 0.301029957 / 6
</span></span></span>log(1 + rate) = <span> <span> <span> 0.0501716595 </span> </span> </span>
Next, raise 10 to the power of <span> <span> <span> 0.0501716595 </span> </span> </span> which results in
<span> <span> <span> 1.1224620317 </span> </span> </span>
This value represents 1 plus the interest rate, so the interest rate is
0.1224620317 or 12.24620317 percent.
This concludes Part ONE.
Now, onto Part TWO.

How many years does it take for $300 to increase to $9,600 at an annual rate of <span>12.24620317%?
You will use the following formula:
</span>(More logarithms involved).
Years = {log(total) - log(Principal)} ÷ log(1 + rate)
Years = {log(9,600) - log(300)} / log(<span>1.1224620317)
</span>Years = (3.982271233 - 2.4771212547) / 0.050171659518
<span><span><span>Years = 1.5051499783 /  </span> </span> </span>.050171659518
Years = 30

The result is 15/4. The equation is 40(5+x)=70*5+0x. When solved: 200+40x=350, which simplifies to 40x=150, therefore x=15/4.

Answer:

Attached is the histogram illustrating the marathon runners’ times.

Step-by-step explanation:

The provided data is as follows;

2.21

2.25

2.76

3.1

3.3

3.5

3.6

3.77

3.8

4.23

4.25

4.25

4.6

4.9

From this data, we can determine;

The count of runners finishing between 0 and 1 hour = 0

The count of runners finishing between 1 and 2 hours = 0

The count of runners finishing between 2 and 3 hours = 3

The count of runners finishing between 3 and 4 hours = 6

The count of runners finishing between 4 and 5 hours = 5

Based on these frequencies across the various time ranges, the histogram for the provided data has been constructed and is attached.

Response:

$14

Step-by-step explanation:

35 divided by 20 equals 1.75

8 multiplied by 1.75 results in 14

Response: a)

b)  The area has grown by 0.75 square meters.

Detailed breakdown:

Let the room's length be l

Let the room's breadth be 'b'

The area of a rectangle is calculated using the formula:

Per the problem, the room's new area equals 175% of its old area.

Thus, a) The new area of the room is determined as

This indicates a 175% increase in the room's length, resulting in a 175% increase in area.

b) The increase in square meters for Megan's room area is