The resulting equation will represent a line whose slope is 1/2 times the slope of the line
<h3>How to determine the slope of the new line?</h3>
The equation of the line is given as:
y = 3x/a + 5
The constant a is a positive constant.
So, when the value of a in the equation is doubled, we have:
y = 3x/2a + 5
A linear equation is represented as
y = mx + b
Where m represents the slope.
So, we have:
m1 = 3/a
m2 = 3/2a
Substitute m1 = 3/a in m2 = 3/2a
m2 = 1/2 * m1
Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line
Read more about linear equation at:
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Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Applying log both sides
applying property of logarithms
![t=log(11,600/5,200)/[(4)log(1.0215)]](https://tex.z-dn.net/?f=t%3Dlog%2811%2C600%2F5%2C200%29%2F%5B%284%29log%281.0215%29%5D)
Answer: 12 miles
Step-by-step explanation:
Hi, to answer this question we have to write a growth equation.
Total miles = 8 (1 +0.05)^9 = 12.41 =12 miles
Where 8 is the initial miles she run, since is increasing each week by 5% we have to multiply it by 1+ percent increase rate in decimal form (1+0.05) to 9th power (number of weeks)
She will run 12 miles in 9 weeks.
Answer:
30
Step-by-step explanation:
