Answer:
Todd has 540540 songs in his playlist.
Vlad has 270270 songs in his playlist.
Becca has 162162 songs in her playlist.
Step-by-step explanation:
# of songs Todd has = T
# of songs Vlad has = V
# of songs Becca has = B
1) Todd has twice as many songs in his playlist as Vlad:
T=2V
2) Becca has three times as many songs in her playlist as Todd:
B=3T
3) All three people have a total of 243243 songs in their playlists:
T+V+B=243243
Because T=2V then you can substitute T as 2V in the second equation:
B=3(2V)
B=6V
Now in the final equation, you can substitute everything for V:
2V+V+6V=243243
9V=243243
V=27027
Now substitute for T:
T+1/2T+3T=243243
9/2T=243243
T=54054
Now substitute for B:
1/3B+1/6B+B=243243
3/2B=243243
B=162162
Check answers:
27027+54054+162162=243243
243243=243243
Answer:
Step-by-step explanation:
If we approximate the binomial distribution with a normal distribution, we have to apply a correction factor for the fact that we are now dealing with a continuous variable instead of a discrete one, as it was with the binomial distribution.
The probability of no more than 35 defective CDs: P(X<35)
In this case, as X=35 is not included in the interval, we start the interval from X=35-0.5=34.5.
being Pb the probability under the binomial distribution and Pn the probability under the normal distribution.
The area for the normal distribution is the one below X=34 (or P(X<34)).
<span>1.) Previous balance = 3529.30
APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%
Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00
New balance after transaction = 3584.00 + 148 = 3732.00
2.) Previous balance = 5834.53
APR = 20.4%, thus monthly interest rate = 1.7%
Previous balance - payment = 5834.53 - 150 = 5680.53
Balance + interest = 5634.53(1 + 0.017) = 5781.17
New balance after transaction = 5781.17 + 325 = 6106.17
3.) Total payment = 15264
Number of payments = 72 monthly payments
Monthly payment = 15264 / 72 = 212
4.) Amount bollowed = 7400 at 7% APR
Amount plus interest = 7400(1 + 0.07) = 7918
Monthly payment = 7918 / 12 = 659.83
</span>
Answer:
After 12 years the investment will be worth $5145.
Step-by-step explanation:
The formula used for compounded interest is:
A = P(1+r/n)^nt
where,
A = future value
P = Principal Amount
r = interest rate
n = no of times interest is compounded
t = time
In the question given:
A=?
P = $2100
r = 7.75% or 0.0775
n = 1
t= 12
A= 2100*(1+0.0775/1)^1*12
A= 2100 *(1+0.0775)^12
A= 2100 *(1.0775)^12
A= 2100 * 2.45
A= 5145
So, after 12 years the investment will be worth $5145.
