<u>Part</u><u> </u><u>1</u> 6(1.20)+4(1.05)=$11.40
<u>Part</u><u> </u><u>2</u> 1.20x+1.05y
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
Maggie typed at a slower rate.
Step-by-step explanation: Maggie typed slower because 32 words/65 seconds is .49 words per second or half a word per second whereas Hector is 25 words/45 seconds or .55 words per second.
Answer:
The distance between the astronomers and the moon was
meters.
Step-by-step explanation:
We have that the speed is the distance divided by the time, so:

In this problem, we have that:
The reflected laser beam was observed by the astronomers 2.52 s after the laser pulse was sent. This means that
.
If the speed of light is 3.00 times 10^8 m/s, what was the distance between the astronomers and the moon?
We have that
m/s.
We have to find d. So:



![7.56*10^{8]](https://tex.z-dn.net/?f=7.56%2A10%5E%7B8%5D)
The distance between the astronomers and the moon was
meters.
Answer:
Function 1 has the larger maximum at (4, 1)
Explanation:
After observation, graph of function 1 has vertex at Maximum (4, 1)
In order to find vertex of function 2, complete square the equation.
f(x) = -x² + 2x - 3
f(x) = -(x² - 2x) - 3
f(x) = -(x - 1)² - 3 + (-1)²
f(x) = -(x - 1)² - 2
Vertex form: y = a(x - h)² + k where (h, k) is the vertex
So, here for function 2 vertex: Maximum (1, -2)
<h3>Conclusion:</h3>
Function 1 = Maximum (4, 1), Function 2 = Maximum (1, -2)
Function 1 has greater maximum value of (4, 1) as "1 is greater than -2"