What is the modulus of 2 – 3i?
Answer:
Option D. 9 mi/hr downstream, 6 mi/hr upstream
Step-by-step explanation:
<u><em>The complete question is</em></u>
Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia’s rowing rate each way
Define the variables
Let
x -----> Alicia's rowing rate downstream in miles per hour
y ----> Alicia's rowing rate upstream in miles per hour
we know that
The rate is equal to the distance divided by the time
so
The time is equal to the distance divided by the rate
we have


-----> equation A
----> equation B
equate equation A and equation B




<em>Find the value of x</em>

therefore
Alicia's rowing rate downstream is 9 mi/h
Alicia's rowing rate upstream is 6 mi/h
Answer:
x = 21
Step-by-step explanation:
(3x+1) ^1/3=4 means that the 1/3 is an exponent that can be rewritten as a cube root.
You can bring the cube root to the other side of the equation.
1. I chose to bring it to the other side of the equation, making it a cube.
(3x+1) ^1/3 = 4
(3x+1) = 4^3
(3x+1) = 4 * 4 * 4
(3x+1) - 1 = 64 - 1
3x/3 = 63/3
x = 21
Answer:
$29.02
Step-by-step explanation:
We will use compound interest formula to find the amount of interest after 3 months.
, where,
A= Amount after T years.
P= Principal amount.
r= Annual interest rate in decimal form.
n= Number of times interest is compounded per year.
T= Time in years.
Let us convert our given interest rate in decimal form.

Let us convert our given time in years.

Let us substitute our given values in above formula.
We will use formula
to find the amount of interest.



Therefore, the total interest earned by the end of the third month will be $29.02.