First distribute 3 to (x-4). that gives you 3x-12. Now your equation is x-2=3x-12. Now you subtract x from 3x. now you're equation is -2=2x-12. then add 12 to the left. You're final answer is 10.
We are NOT told 1) the finance charge and 2) the amount of time
<span>
<span>
19,850.00
<span>
Car Price
+1,488.75 Sales Tax
</span>
<span>
</span><span> -1,000.00
Down Payment
</span>
20,338.75
</span>
</span>
This is the amount being financed
Using a loan calculator http://www.1728.org/calcloan.htm
We see that if the loan is for 9.382% and it is for 5 years,
Then the monthly payment is $425.98
We will make 60 (12 months * 5) monthly payments resulting in a total loan cost of 425.98 * 60 =
<span>
<span>
25,558.80
</span>
</span>
Total Loan Cost
-20,338.75 Money Being Financed
5,220.05 Five Year's Interest
********************************************************************
THIS ISN'T EXACTLY RIGHT - SCROLL TO THE BOTTOM
So, 5,220.05 / 60 = Interest Paid each month.
= $87.00
So,
425.98
-87.00
<span>
<span>
338.98
</span>
</span>
Each month goes toward the principal.
******************************************************************************************
Although, the monthly payment remains exactly the same each month, the amount going toward interest and the amount going to equity (what you own), changes drastically each month.
See the mortgage calculator
http://www.1728.org/mortmnts.htm
So, your first payment, of 452.98 pays for $159.02 in interest and $266.95 in principal.
Hey there! I'm happy to help!
Here is our equation
3x - 4 (2x - 5) = 15
First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.
3x-8x+20=15
We combine our like terms (our x-values).
-5x+20=15
We subtract 20 from both sides.
-5x=-5
We divide both sides by -5.
x=1
Have a wonderful day and keep on learning! :D
Speed = Distance / Time
Distance = Speed*Time
For this problem, we should bear in mind that current speed has an impact on the boat speed...
for upstream, the boat goes against the current, and so its speed is
U = V - C
where V is the speed of the boat
C is the current speed
for downstream, it will be:
D = V + C
Convert the problem into mathematical equations:
4D + 3U = 116
3D + 4U = 108
4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116
3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108
Solving the equations:
7V + C = 116
7V - C = 108
14V = 224
V = 16km/hr —-> speed of boat
to get C:
7(16) + C = 116
C = 4km/hr