Answer:
simple interest is $6.8
Miguel pay amount to Julio at the end of 6 months $206.8
Step-by-step explanation:
Given : Miguel Rodriguez borrowed $200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8%.
To Find : a) How much will the interest amount to?
b) What amount must Miguel pay Julio at the end of 6 months?
Solution :
Formula for simple interest :

Where rate is in decimal
Time is in years
So, rate of interest = 6.8 % = 0.068
Time = 6 months = 
Principal = $200
Thus 

Now To calculate amount must Miguel pay Julio at the end of 6 months
Amount = principal +Simple interest
Amount = 200+6.8 =206.8
Hence the simple interest is $6.8
And Miguel pay amount to Julio at the end of 6 months $206.8
Answer:
$210
Step-by-step explanation:
The first thing we can do is to add the $25 back on to the total cost.
25 + 115 = 140.
We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.
Now, to find the original price we can use this equation:

X represents the original price.
To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

Now you can solve:

We can check this answer by multiplying 210 by 2/3
(210)(2/3) = 140
Remember, Sam used a gift certificate for $25
140 - 25 = $115
Therefore, the original price of the skis is $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
First solve for x in the first equation. So you'll have to substitute,
5(3x-7)=20
15x-35=20
Then add 35 to both sides.
15x=55
Divide 55 by 15.
So x = 3.66...
Then plug in 3.7 for x in 6x-8
6(3.7)-8
Its approximately 14.2
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0