Answer:
$5151.42
Step-by-step explanation:
The formula you need is
where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings per year, and t is time in years. The info we have is
A(t) = 8000
P = ?
r = .09
t = 5
Filling in we have
Simplifying a bit and we have
Now we will add inside the parenthesis and raise 1.045 to the 10th power to get
8000 = P(1.552969422)
Divide away the 155... on both sides to solve for P.
P = $5151.42
The symbol which correctly compares the numbers is <, i.e less than.
Given the expression is ∛27 = 21/5
Mathematicians refer to the process or method of comparing numbers as a way of figuring out if one number is less than, equal to, or higher than another one given their values.
first get the values of the numbers
∛27 = 3×3×3 = 27
hence we get it as 3
now for 21/5 = 4.2
hence the second value is greater than the first value and but as the expression says the first value is less than the second value.
Hence the correct expression is:
3<4.2
Therefore, the symbol which compares the correct form of expression is < that is less than.
Learn more about Comparing expressions here:
brainly.com/question/15602982
#SPJ9
Answer:
6.375 cups of raisins
Step-by-step explanation:
The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.
So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:
(4.25 ÷ 2) × 3 = 6.375
What you need to know before I explain is how to add percents onto numbers. What I'm saying is what and how to do 6.4% x 1500
1. You can't do a percent and number together, that's impossible
What you can do is convert the percent (6.4%) into a decimal
2. 6.4% is equivalent to 6.4/100, which is equivalent to 0.064
3. Now, you multiply 0.064 x 1500
You will notice, hopefully, that you have a number smaller than 1500, but do not panic, you are on the right track!
4. Using the number you got, add that to 1500, and there's your total!
But, if you want only the tax, keep that small number you started off with!
