Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
-15
Step-by-step explanation:
<u>Definition of absolute value: </u>
<em>Distance from zero on a number line. </em>
<em />
Imagine a number line with 0 in the middle of it. Now mark the number 3 on it. Also mark the <em>opposite </em>of 3, which is -3. What is the <u>distance</u> from zero to those 2 points? it's 3.
This is exactly like saying |3| = 3 and |-3| = 3
Even if the number inside absolute value is negative, it <em><u>simplifies</u></em> to the positive of the same number.
_______________________________
So let's talk about your problem.
-|-15|
> the absolute value simplifies to 15
-|-15| = - 15
So that ends up being your answer.

Hope this helps!!!!!!!
Answer:
Step-by-step explanation:
7.5
Hi there! So, we know that the price of the camera is $84, and the carrying case is 12% of that price. Let's find the cost of the case. To find the cost of the carrying case, all you have to do is multiply the price of the camera by the percentage. 84 * 12% (0.12) is 10.08. The price of the carrying case is $10.08. Let's add that price to the price of the camera. 84 + 10.08 is 94.08. $94.08 is the purchase price, but we're not done. We must add the tax in to find the total price. We can add 100% to the tax rate of 6% to get 106% Adding 100% to the amount of tax helps us get straight to the total price. Multiply that by 94.08. 94.08 * 106% (1.06) is 99.7248 or 99.72 when rounded to the nearest hundredth. There. The total price of the purchase is $99.72.
(8 + [7+1] 2 ÷ 4 × 1) ÷ 2^4
Let's focus on what's in parentheses first.
8 + 8 × 2 ÷ 4 × 1
8 + 16 ÷ 4 × 1
8 + 4 × 1
8 + 4
12
Now, to what is outside the parentheses:
Because of the way it is written, you will do 12 ÷ 2 first.
12 ÷ 2^4
6^4
Answer: 1296