Answer:
B. $2862
Step-by-step explanation:
Using n=5 in the given equation, we get ...
A(5) = 2700 + (5-1)(.015·2700) = 2700 +4(40.50)
A(5) = 2862.00
In year 5, you will have $2862 in the account.
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<em>Comment on the given equation</em>
The given equation tells you the amount in the account at the <em>beginning</em> of the year, before it earns any interest. Since that is the equation given, we presume that is the answer desired. In most "account balance" problems, you are interested in the amount at the <em>end</em> of the interest-earning period.
Answer:
Perimeter = 36.8 ft
Step-by-step explanation:
<u>Step 1: Add the straight sides together</u>
3+3+3+3+3+3 = 18 ft
<u>Step 2: Find the perimeter of the semi-circles</u>
The formula for the perimeter of semi-circle: 1/2 π × d
Diameter = 12 - 3 - 3 = 6, because the whole length is 12 minus the 6 ft of other stuff.
Now, 1/2π * 6 = 9.4 ft
But, there are two semi-circles so it will be 9.4 + 9.4 = 18.8 ft
<u>Step 3: Add all of them</u>
18 + 18.8 = 36.8 ft
The <em><u>correct answer</u></em> is:
a strong negative correlation
Explanation:
A strong correlation is one that is close to either 1 or -1. -0.93 is very close to -1, so this is a strong correlation.
A negative correlation is one that has a negative r-value. This is a negative r-value, so it is a negative correlation.
Compound Interest Formula: A = P(1 + r/n)^(n·t)
A = final amount r = rate, as a decimal (.021) t = number of years (17)
P = initial amount (2914.72) n = number of times compounded per year (365)
A = 2914.72(1 + .021/365)^(365·17) = $4165.20
Interest earned: $4165.20 - $2914.72 = $1250.48 <----- Answer
You might want to recalculate this, attempting to handle leap years, by replacing the number of times compounded per year with 365.25 and see if that has an effect
Answer:
x = 8 − 2√7
Explanation: Isolate the radical, then raise each side of the equation to the power of its index.
