Answer:
-23
Step-by-step explanation:
As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:
1 - 2·12 = -23 . . . the y-intercept
Answer: The answer is (C) Exponential.
Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.
We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.
The formula foe compound interest is given by
where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.
Therefore, we can see that the function is of exponential type.
If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.
So, the correct option is (C) Exponential.
Answer:
1, i) equation for Mike's Repair Shop = $65x + $100
ii) Amy's Auto Repair = $80x + $40
2. 65x + 100 = 80x + 40
3. x = 4
4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.
5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $803 + $40 = $280 and Mike's will cost = $65
3 + $100 = $295.
6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $806 + $40 = $520 and Mike's will cost = $65
6 + $100 = $490.
7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.
Step-by-step explanation:
i) x = number of hours worked
ii) y = total cost
1, i) equation for Mike's Repair Shop = $65x + $100
ii) Amy's Auto Repair = $80x + $40
2. 65x + 100 = 80x + 40
3. 15x = 60, therefore x = 4
4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.
5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $803 + $40 = $280 and Mike's will cost = $65
3 + $100 = $295.
6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $806 + $40 = $520 and Mike's will cost = $65
6 + $100 = $490.
7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.