Answer:
9d+7
Step-by-step explanation:
when you subtract you 'add the opposite' so we can rewrite this subtraction problem as an addition problem as follows:
6d + 5 + 2 + 3d
combine 'like' terms to get:
9d + 7
Answer:
4tp
Step-by-step explanation:
Answer: 36
Step-by-step explanation:
multiply
Answer:
Finance Charge = $1.42
New Account Balance = $90.02
Step-by-step explanation:
<em>APR (Annual Percentage Rate) = 22%</em>
Periodic Rate = 1.83% (APR/12)
<em>Beginning Balance = $102.33
</em>
<em>Payment made on 15th day = $25.00
</em>
<em>Purchase made on 25th day = $11.27
</em>
Finance Charge = (Beginning Balance - Payment made on 15th day) x Periodic Rate
Finance Charge = ($102.33 - $25.00) x 0.0183
Finance Charge = $77.33 x 0.0183
Finance Charge = $1.42
New Account Balance = Beginning Balance - Payment made on 15th day + Purchase made on 25th day + Finance Charge
New Account Balance = $102.33 - $25.00 + $11.27 + $1.42
New Account Balance = $90.02
Answer:
the initial population P₀ was 5938 people
Step-by-step explanation:
since the rate of increase of the population is proportional to the population itself, then the corresponding equation for a population P and time t is
dP/dt = k*P , where k= proportionality constant
dP/P = k*dt
∫dP/P =∫ k*dt
integrating between time t=0 (with P=P₀) and time t=t (with P=P)
ln (P/P₀)=k*t
if the population doubled , so P=2*P₀ at t=5 years then
ln (2*P₀/P₀)=k*5 years
k = ln 2 / 5 years
then the population is P=9000 for t= 3 years
ln (9000/P₀)=k*3 years
ln (9000/P₀)=ln 2 / 5 years *3 years
solving for P₀
P₀ = 9000 people * e^ (- ln 2 / 5 years *3 years ) = 9000 people *2 ^(-3 years / 5 years) = 5937.78 people ≈ 5938 people
therefore the initial population P₀ was 5938 people