Answer:
y=1/2x+13
Step-by-step explanation:
The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:
m=y2-y1/x2-x1
You have two points: (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.
Now, you can replace the values in the formula:
y2=18
y1=16
x2=10
x1=6
m=(18-16)/(10-6)
m=2/4
m=1/2
Now, you use the point-slope formula:
y-y1=m(x-x1)
You have to replace the value of the slope and one point and solve for y:
y-16=1/2(x-6)
y-16=1/2x-3
y=1/2x-3+16
y=1/2x+13
According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.
378x^3 , i think thats right.
Answer:
34.491
Step-by-step explanation:
Calculator :>
Q1. The limit from the right is -4. (The limit from the left, and the value of f(3) are different, but that doesn't matter for the question asked. Taken together, they mean that the limit as x approaches 3 does not exist. But that is not the question asked.)
Q2. f(x) = 4/x.
f'(x) = -4/x^2, so f'(2) = -4/2^2 = -1.
Q3. Since the denominator is zero at x=7, the only answer choice that makes any sense is the first one:
-∞; x = 7
It also happens to be the right one.
Answer:
The amount earned is $27,137.65
Interest earned is $17,137.65
Step-by-step explanation:
Here, we want to use the compound interest formula
We have this as follows;
A = P(1 + r/n)^nt
A is the amount
P is the principal which is the amount deposited = $10,000
r is the interest rate = 4% = 4/100 = 0.04
n is the number of times the interest is compounded per year;
Since it is every month, the number of times in a year is 12
t is the number of years = 25
Substituting these values;
A = 10,000(1 + 0.04/12)^(25*12)
A = $27,137.65
The interest earned is the difference between this amount and the amount deposited which is;
27,137.65 - 10,000 = $17,137.65
