Answer:
34.328125
Step-by-step explanation:
The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer: $106,300
<u>Step-by-step explanation:</u>
A = P(1 + r)
- A is the accrued amount (balance)
- P is the principal (initial amount)
- r is the rate --> convert to a decimal
Given: P = 96,812 r = 9.8% --> 0.098
A = 96,812(1 + 0.098)
= 96,812(1.098)
= 106,299.576
rounded to the nearest dollar is $106,300
