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Varvara68 [4.7K]
2 years ago
15

Dirk opened up a savings account with $600. At a yearly interest rate of 5 percent that is compounded monthly, how much interest

will Dirk earn in six months.
Mathematics
1 answer:
gladu [14]2 years ago
6 0

Answer:

Hence final answer is $15.17

Step-by-step explanation:

Given that Dirk opened up a savings account with $600.

So P=$600

"At a yearly interest rate of 5 percent"

Means r=5% = 0.05

"compounded monthly" means n=12

i= monthly rate of interest = r/n=0.05/12

"how much interest will Dirk earn in six months." means find Interest when time is 6 months


Plug these values into compound interest formula:

A=P\left(1+i\right)^t

A=600\left(1+\frac{0.05}{12}\right)^6

A=600\left(1+0.00417\right)^6

A=600\left(1.00417\right)^6

A=600\left(1.02528228828\right)

A=615.169372966

which is approx

A=615.17

Now interest earned will be difference of A and P

Interest =A-P=615.17-600=$15.17

Hence final answer is $15.17

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The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo
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Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}

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Answer:

This type of transformation is a horizontal stretch.

<em></em>

Step-by-step explanation:

Given

y = x + 4

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Required

Determine the type of transformation

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<em>i.e. f(x) stretched to g(x)</em>

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