Answer:
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
Completed question;
There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal
Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.
Approximately how many pieces of mail were processed by the United States Postal Service in
2006
Step-by-step explanation:
Let x represent the number of mails processed in year 2006
Given;
Number of mails processed in 2012 N = 1.6 × 10^11
Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.
So;
N = 75% of x
N = 0.75x
x = N/0.75
x = (1.6 × 10^11)/0.75
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Hello! I can help you with this!
a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.
b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.
Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
Answer:
Step-by-step explanation:
y-5=3(x+2)
y-5=3x+6
y-5-6=3x+6-6
y-1=3x
