Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>Let's consider the information given</u>:
- rental price: $30 + $0.30/mile
- total bill for Ken: $55.20
<u>Let's setup an equation for the cost</u>
- set 'x' as number of miles traveled
- set that equal to the total cost or bill and solve
Ken must have traveled 84 miles
<u>Answer: 84 miles</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Answer:
which one 1,2,3,4,5,6,7,8
Given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'
t=k/r
where
k is the constant of proportionality given by:
k=tr
when r=20 mph, t=1.25 hrs
thus
k=20×1.25
k=25 miles
thus the formula is:
t=25/r
when r=55 mph, the value of t will be:
t=25/55
t=5/11 hours
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
The answer is: "2.5 years" .
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Note: I = P * r * t ; { " Interest = Principal * rate * time "} ;
→ Solve for "t" {"time", in years} ;
Divide each side of the equation by "{P * r}" ;
to isolate "t" on one side of the equation ;
→ I / (P * r) = {P * r * t) / (P * r} ;
to get: " I / (P * r) = t " ;
↔ t = I / (P * r) ;
Given: I = $450 ;
<span>P = $2400 ;
r = 7.5% = 7.5/100 = 0.075 ;
Plug in these values into the formula to solve for the time, "t" :
</span>→ t = I / (P * r ) ;
= $450 / (<span>$2400 * 0.075) ;
= </span>$450 / ($2400 * 0.075) ;
= $450 / $180 ;
= $45 / $18 ;
= ($45 ÷ 9) / ($18 ÷ 9)
= $5 / $2 ;
= 2.5 ;
→ t = 2.5 years.
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The answer is: "2.5 years" .
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