Answer:
5 times 12 = 60
Step-by-step explanation:
5 times 12 is at least 60
I’m guessing you mean he saves 15%?
He saves $975
Spends: $5525
Anya's parents will have $44,440.71 after 6 years if they invested in a bank.
The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.
= 4% / 4 quarters
= 1% per quarter
Number of periods:
= Number of years x Number of quarters in year
= 6 x 4
= 24 quarters
The amount they will have in their account is:
<em>= Amount x ( 1 + rate) ^ number of periods </em>
= 35,000 x ( 1 + 1%)²⁴
= $44,440.71
In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.
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Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
