Answer:
Initial principal -$300,000
Investment amount after yr 3-$390,000
Final investment amount, after 6 yrs-$519,090
Step-by-step explanation:
Let X be the amount initially invested.
#The amount after 3 yrs of simple interest is calculated as:
#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:
Hence, the amount initially invested as $300,000
#Amount of invested after 6 yrs is therefore:
Hence, the total amount of the investment after 6 yrs is $519,090
#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:
Hence, the total amount of the investment after first 3 yrs is $390,000
It will look like this
There is no horizontal aseymtope, because it passes through all of possible y
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.
First, let's take a look at our question, and evaluate it.
"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"
To clarify this problem, we are looking for the patio's width.
Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".
So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.
To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.
So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.
Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.
So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x
To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x
We are now left with:
x = 3.75
Your answer is:
The patio's width is 3.75 yards.
I hope this helps!
Answer:
The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
88% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)
Answer:
5/6
Step-by-step explanation:
1/6 + 2/3
We need to get a common denominator of 6
1/6 + 2/3 *2/2
1/6 + 4/6
5/6
