Answer: 12.63 years
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
A = P (1 + r) t
Where:
p = original price
r = increasing rate (decimal form)
t= years
A = price after t years
10= 3 (1 + 10/100) t
10= 3(1.1)^t
10/3= 1.1^t
log 10/3 = log 1.1^t
log 10/3 = t log 1.1
log (10/3)/ log 1.1 =t
t = 12.63 years
Feel free to ask for more if needed or if you did not understand something.
Simplified
2/5x-5-1/3
2 x -5 - 1/3
5
-10/5 - 1/3
-2 - 1/3
-7/3
Answer:
<h2>I think the answer is C</h2>
Step-by-step explanation:
oh and...you mean one of these.....sorry i just had to... XD XD
Answer:
y = 4x - 8
Step-by-step explanation:
(-1, -12) & (4, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-12)) / (4 - (-1))
Simplify the parentheses.
= (8 + 12) / (4 + 1)
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.
8 = 4(4) + b
To find b, multiply the slope and the input of x(4)
8 = 16 + b
Now, subtract 16 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 4x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-1, -12).
y = 4x - 8
-12 = 4(-1) - 8
-12 = -4 - 8
- 12 = -12
Your equation is correct.
Hope this helps!
Answer:
let cost of each pound of trail mix be x any y respectively
For 2 pounds of trail mix and 5 pounds of jelly beans, the total cost is $10
2x +5y = 10.....(1)
For 8 pounds of trail mix and 3 pounds of jelly beans, the total cost is $23
8x +3y = 23.....(2)
2x +5y= 10 ....... × 4
8x +20y = 40.....(3)
8x +3y = 23 ( from (2))
(3) - (2)
17y = 17
y= 1
8x +3y = 23
8x +3 = 23
8x= 20
x= 2.5
Cost for each pound of trail mix= $2.5
Cost for each pound of jelly beans= $1