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Zanzabum
4 years ago
6

If you place $1,000.00 in a savings account with an interest rate of 5.25%/month, how much should you earn in interest at the en

d of the month?
Mathematics
2 answers:
finlep [7]4 years ago
7 0

Answer:

The interest earned at the end of the month is $52.50

Step-by-step explanation:

Given:

Principle = $1000

Rate of interest = 5.25% per month.

\frac{5.25}{100} = 0.0525

Now we have to find the interest earned end of the month.

We can use the following formula.

Interest = p*r*t    where p is the principle, r is the rate and t is the time.

= 1000*0.0525 * 1

= $52.50

The interest earned at the end of the month is $52.50

Ilia_Sergeevich [38]4 years ago
5 0
5.25% turns into 0.0525.  <span>Then, you multiply 0.0525 and 1,000 together. This equals 52.50. </span><span>So, you would earn $52.50 at the end of the month in interest.</span>
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zzz [600]
<span>5x - y = 15 (1)
-10x+2y=-30 (2)

multiply (1) by 2

10x - 2y = 30
</span>-10x + 2y = -30 (2)
<span>---------------------------add
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answer
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5 0
3 years ago
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
3 years ago
What is the solution to this system of equations?
amm1812

Answer:

Step-by-step explanation:

(i) x+2y=4

(ii) x=4-2y

(iii) 2x-2y=5  

substituting (ii) in (iii)

2x-2y=5

2(4-2y)-2y=5

8-4y-2y=5

-6y=5-8

-6y=-3

(iv) y=\frac{1}{2}              

substituting (iv) in (ii)

x=4-2y

x=4-2×\frac{1}{2}

x=4-1

x=3

∴ B.(3,\frac{1}{2})

HOPE IT HELPS YOU!!!!

3 0
3 years ago
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MrRissso [65]

Answer:

Step-by-step explanation:

3 0
3 years ago
Write (-5+8i)+(-5-8i) as a complex number in standard form
gizmo_the_mogwai [7]
(-5+8i)+(-5-8i) =&#10;-5+8i-5-8i=-10
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3 years ago
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