Answer:
k= -6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
4553332 is the answer
Step-by-step explanation:
To solve this problem, we need to factor 36 and 80, then find greatest common factor, and divide numerator and denominator by this greatest common factor.
36/80 = (4*9)/(4*20)= 9/20
Answer A. 9/20.
Answer: it will take 13 years for the home to be valued at 250,000
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the value of the house after t years.
t represents the number of years.
b represents the initial value of the house.
r represents rate of growth.
From the information given,
b = 160000
y = 250000
r = 3.5% = 3.5/100 = 0.035
Therefore
250000 = 160000(1 + 0.035)^t
250000/160000 = (1.035)^t
1.5625 = (1.035)^t
Taking log of both sides to base 10
Log 1.5625 = log1.035^t = tlog1.035
0.1938 = t × 0.0149
t = 0.1938/0.0149
t = 13 years
The given points are: (-2,4) and (6,b)
The slope is -3/2
The slope is the change in Y over the change in x.
So you get: -3/2 = (b - 4) / (6 - -2)
Simplify to get: -3/2 = (b - 4) / 8
Now we see the denominator on the right is 8 and on the left is 2, this is a scale of 4: (8 / 2 = 4) so the numerator on the right needs to be scaled by 4 as well.
The left side is -3, so the right side needs to equal -3 x 4 = -12
Now we know b - 4 = -12, solve for b:
b -4 = -12, add 4 to both sides:
b = -8
Now check:
(-2,4) (6,-8)
Slope = (-8 - 4) / (6 - -2) = -12 /8 = -3/2
b = -8
