Answer:
Step-by-step explanation:
Let h represent the number of hours of babysitting.
C represents the total cost of babysitting for h hours.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Therefore, the equation would be
C = 5h + 3
Comparing the equation with the slope intercept form, y = mx + c,
The slope = 5
The y intercept = 3
If she babysits for 5 hours, the cost would bee
C = 5 × 5 + 3
C = $28
Step-by-step explanation:
4(3c-2)=12(c+2)
12c-8=12c+24
12c-12c=24+8
0=32
Answer:
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
A) From the information given,
P = $800
r = 4.5% = 4.5/100 = 0.045
t = 5 years
Therefore,
A = 800 x e^(0.045 x 5)
A = 800 x e^(0.225)
A = $1002
B) For it to double,
A = 2 × 800 = 1600
Therefore,
1600 = 800 x e^(0.045 x t)
1600/800 = e^(0.045t)
2 = e^(0.045t)
Taking ln of both sides, it becomes
Ln2 = 0.045t
0.693 = 0.045t
t = 0.693/0.045
t = 15.4 years
Answer:
y = -2x + 4
Step-by-step explanation:
y = mx + b
m ---> slope
b ----> y-intercept
y = -2x + 4
