Hello,
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
A(a+5)+a(3-4) all divided by a(a+5)= a^2+5a+3a-4a all divided by a^2+5a= a^2+4a/a^2+5a
Do you mean 6 puppies were adopted from the 50 or 6 puppies were brought in to be adopted?
Answer:
a) $13345.73
b) $ 12095.73
Step-by-step explanation:
<em>a) Formula for compound interest: A = P(1 + r/n)^n*t</em>
<u>Step 1: Write the data</u>
Principal = P = 1250
rate = r = 7% = 7/100 = 0.07
Time = retirement age - starting age = 65 - 30 = 35
n = number of periods = 1 (compounded annually)
Amount = A = ?
<u>Step 2: Apply the data in the formula</u>
A = P(1 + r/n)^n*t
A = 1250 (1 + 0.07/1)^1*35
A = 13345.73
Sally will have $13345.73 in the account when she retires.
<em>b) The total amount from Sally's deposit can be derived by subtracting the total amount found in part a by the amount deposited.</em>
Amount - Sally's deposit = x
x = 13345.73 - 1250
x = 12095.73
The total amount from Sally's deposit is $12095.73. Therefore, the interest given to Sally on her deposit is $12095.73.
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