Answer:
The "total loan cost" formula is what you'll need (and it is attached).
Interest =1.25 / 1,200 = 0.0010416667
and "n" is number of months (6 years = 72 months)
Total Loan Cost = (r*p*n) / 1 -((1 + r)^-n)
Total Loan Cost = (0.0010416667 * 12,000 * 72) / 1 -((1.0010416667)^-72)
Total Loan Cost = 900 / 1 -0.9277797019
Total Loan Cost = 900 / 0.0722202981
Total Loan Cost = 12,461.87
Step-by-step explanation:
The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
![t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substituting:
![\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81-4%282%29%28-18%29%7D%7D%7B2%282%29%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81%2B144%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B225%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6:
0.4 as a fraction would be 2/5 :)
<h2>Answer with step-by-step:</h2>
(28.-5.199-2.)228
<em>Subtract 5.199 out of 28 to get 22.801</em>
(28.-5.199-2.) * 228
<em>Subtract 2 of 22.801 to get 20.801</em>
20.80 1 * 228
<em>Multiply 20.801 and 228 to get 4742.628 </em>
4742.628<em> </em>
<h2>The answer if you need to factor it:</h2>
3*11*19*31*61/2*5^3 = 4742 157/250 = 4742.628
Answer: Mike started with 75 cards
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The number of cards mike started with (x) plus the new cards added (7) must be divided by 2 (since his dog ate half of his collection).
That expression must be equal to the number of cards left (41)
Mathematically speaking:
(x + 7) /2 = 41
Solving for x:
x+7 = 41x2
x+7 = 82
x = 82-7
x = 75 cards
Feel free to ask for more if needed or if you did not understand something.
