The solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.
<h3>What is the solution of the equation as described in the task content?</h3>
It follows from the task content that the solution to the equation is to be determined and expressed in its simplest form.
Given;
-1/2 -1/2(4/5x+1) = -2 -3x
By distributing the coefficients: we have;
-1/2 - 2/5x - 1/2 = -2 -3x
Hence, by collecting like terms; we have;
-1/2 - 1/2 + 2 = -3x + (2/5)x
1 = -13x/5
Therefore; by cross-multiplication; we have;
5 = -13x
Divide both sides by; -13.
x = -5/13.
Ultimately, the solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.
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<span>Because there are 20 coins plus four bars = 24 items to choose. You want to choose where to put the four bars, thus C(24,4). There are four bars, not five. Note that four bars divide the 20 coins into five sections. Five bars would divide it into six, but we only have five different kinds of coins to choose from.</span>
Answer: The difference between consecutive square numbers is always odd. The difference is the sum of the two numbers that are squared. ... The difference between alternate square numbers is always even; it is twice the sum of the two numbers that are squared.
Step-by-step explanation:
Answer:
y = 1.5x - 1 or y = 1 1/2x - 1 or y = 3/2x - 1
Step-by-step explanation:
y = mx + b
b is the point on the y
y = -1
so
b = -1
now the slope
m = rise/run
m = 3/2
so
y = 1.5x - 1
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Answer:
a) $370
b) $305 is from interest; $3695 comes from deposits
Step-by-step explanation:
(a) The formula variables are not defined here, so choosing the appropriate formula is difficult. I worked through the "A =" formula because I'm used to seeing a formula in which A is the payment amount. Not so, here.
Here, P is the payment amount. Since you're asked to find the amount of payment, you want to choose and evaluate the "P=" formula. Payments and compounding are 2 times per year, so n=2, and the term is 5 years, so t=5. The interest rate, r, is 3.5%, or 0.035.
Then your formula evaluates to ...
... P = A((1 +r/n)^(nt) -1)/(r/n) = 4000·0.0175/(1.0175^(2·5) -1) ≈ 369.50
Part A wants the amount rounded up to the nearest dollar, so $370.
(b) 10 payments of $369.50 will total $3695.00. This is the amount from payments. The remainder, $4000 -3695 = $305 is from interest.