Answer:
Rate of change = -12
Step-by-step explanation:
y − 3 = −12(x + 4)
Expanding, we have;
y - 3 = -12x - 48
y = -12x - 48 + 3
y = -12x - 45
Now, formula for rate of change is;
Rate of change = (y(x + h) - y)/h
y(x + h) is; y = -12(x + h) - 45
This gives;
Rate of change = (-12(x + h) - 45 + 12x + 45)/h
Rate of change = (-12x - 12h - 45 + 12x + 45)/h
Rate of change = -12h/h
Rate of change = -12
Answer:
Step-by-step explanation:
Using annuity, each sisters saving can be calculated.
Annuity formula:
Fv = PMT (( 1 + i)^n - 1) / i
where Fv is the future value (amount), PMT is the periodic payment ( $2000),
i is the rate per period ( 7%) and n is the number of payments.
Using the above formula to calculate each sister savings after their respective years of savings
Jane ( between 25 - 35, with n = 10 years)
Fv = 2000 (( 1 + 0.07)^10 - 1 ) / 0.07 = $ 27634.3
Joan ( between 35 - 65, with n = 30 years)
Fv = 2000((1 + 0.07)^30 - 1) / 0.07 = $ 188914
Joan actually have invested more since over 30 years she has invested $60000 while Jane on the other hand invested for 10 years which equals $20000 and Joan has more money after retirement. Going by the result it will make sense for Jane to emulate Joan or increase her number of years of saving in other to improve her retirement saving significantly close to Joan or even more.
Answer:
Step-by-step explanation:The sum of three consecutive odd numbers is 183. Find the numbers. 57; 59; 67 59; 61; 63 60; 61; 62 65; 67; 69.
It would be 1 hour and 40 minutes
100 minutes = 1 hour and 40 minutes
Answer: $58.33 (Rounded bc it ends up in becoming a decimal)
Explanation: Let's make an equation for this problem. We know that if she works 3 hours for $25, 3*2=6 with 1 hour leftover. We can substitute those 6 hours for 2 sets of the 3 hours, giving us $50 so far. For the last hour, we have to divide 25 by 3 because it's only 1 hour instead of 3, meaning she'll get paid a third of the original pay rate. 25/3 equals 8.33333333334, so we'll just round that to 8.33, since it's cash. 50+8.33=$58.33. So, you'd earn 58 dollars and 33 cents for working for 7 hours.