Answer:
Billie's age = x = 17 years
Tony's age = y = 31 years
Step-by-step explanation:
Let
Billie's age = x
Tony's age = y
Twice Billie’s age decreased by 3 is Tony’s age.
y = 2x - 3..... Equation 1
Tony is fourteen years older than Billie.
x = y - 14
We substitute y - 14 for x in Equation 1
y = 2x - 3..... Equation 1
y = 2(y - 14) - 3
y = 2y - 28 - 3
y - 2y = -28 - 3
-y = -31
y = 31 years
Solving for x
x = y - 14
x = 31 - 14
x = 17 years.
Therefore:
Billie's age = x = 17 years
Tony's age = y = 31 years
Its simple (n-12) because n is the variable and since it says fewer, then that means less than, which is subtracted by the number given which would be 12. Hope this helps! XD
Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so
substitute in the formula above
solve for x
therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
The average time the car took to reach each checkpoint are:
<h3>Average time</h3>
Given:
Time interval
1 2 3 4
2.02 3.17 4.12 4.93
2.05 3.07 3.98 4.81
2.15 3.25 4.23 5.01
Hence:
First quarter checkpoint
Average time= (2.02 + 2.05 + 2.15) / 3
Average time=6.22/3
Average time= 2.07s
Second quarter checkpoint
Average time= (3.17 +3.07 + 3.25) / 3
Average time=9.49/3
Average time = 3.16 s
Third quarter check point
Average time= (4.12 + 3.98 + 4.23) / 3
Average time=12.33/3
Average time= 4.11 s
Fourth quarter check point
Average time = (4.93 + 4.81 + 5.01) / 3
Average time=14.75/3
Average time= 4.917 s
Average time=4.92s (Approximately)
Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.
Learn more about average time here:brainly.com/question/19136062
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Answer:
y + 20 = 9(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the lie
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)
m = 
= 
= 9
Using (a, b) = (- 2, - 20), then
y - (- 20) = 9(x - (- 2)), that is
y + 20 = 9(x + 2)
