Answer:
Slope = 
Step-by-step explanation:
Slope = 
You peace in the 6 the same time
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.
Answer:
70.01.
Step-by-step explanation:
159 - 88.99
= 159 - 90 + 1.01
= 69 + 1.01
= 70.01.
Answer:
13.6 years
Step-by-step explanation:
Let Ao be the initial value. We're interested in finding out how long it will take for A to double in value, that is, become equal to 2Ao.
We get:
2Ao = Ao(1 + 0.05/12)^(12t)
and must solve this for t.
Dividing both sides by Ao yields 2 = 1(1 + 0.05/12)^(12t), or
2 = (1 + 0.00427)^(12t)
Solve for t by taking the common log of both sides:
log 2 = 12t·log (1.00427), or
0.30103 = 12·t·0.00185. Performing the multiplication on the right side, we get
0.30103 = 0.0222t.
Dividing both sides by 0.0222, we get:
0.30103
t = -------------------- = 13.56
0.0222
It will take this investment about 13 1/2 years to double in value.
Rounded to the nearest tenth, that'd be 13.6 years.
