Okay. The formula for compound interest is P(1 + r)^t, with P = principal, r = percentage rate, and t = time in years. 4.8% is 0.048 in decimal form. We add 1 to that number to get 1.048. Because the amount of time compounded is 7 years, we raise 1.048 to the 7th power. 1.048^7 is 1.388445952. Do not delete this number from your calculator. Now, multiply that number by 12,000 to get 16,661.35142 or 16,661.35 when rounded to the nearest hundredth. There. The value after seven years is $16,661.35.
Answer:
1.31, 0.19 to nearest hundredth.
Step-by-step explanation:
1/x + 1/(x - 1) = 4
Multiply through by x(x - 1):-
x - 1 + x = 4x(x - 1)
4x^2 - 4x = 2x - 1
4x^2 - 6x = -1
4(x^2 - 3.2 x) = -1
Completing the square:-
4 [ ( x - 3/4)^2 - 9/16] = -1
4(x - 3/4)^2 - 9/4 = -1
4(x - 3/4)^2 = 5/4
(x - 3/4)^2 = 5/16
x - 3/4 = +/- √5 / 4
x = √5 / 4 + 3/4 , -√5 / 4 + 3/4
= 1.31, 0.19 to nearest hundredth.
<h2>
Answer:</h2>
We must determine the y-intercept, b using the slope and point provided.
Now that we know the y-intercept, b, we can create the equation of this line: <em>y = -3x + 1</em>.
The objective is to state why the value of
converging alternating seies with terms that are non increasing in magnitude
lie between any two consecutive terms of partial sums.
Let alternating series
<span>Sn = partial sum of the series up to n terms</span>
{S2k} = sequence of partial sum of even terms
{S2k+1} = sequence of partial sum of odd terms
As the magnitude of the terms in the
alternating series are non-increasing in magnitude, sequence {S2k} is bounded
above by S1 and sequence {S2k+1} is bounded by S2. So, l lies between S1 and
S2.
In the similar war, if first two terms of the
series are deleted, then l lies in between S3 and S4 and so on.
Hence, the value of converging alternating
series with terms that are non-increasing in magnitude lies between any two
consecutive terms of partial sums. So, the remainder Rn = S – Sn alternating
sign
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