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Rashid [163]
2 years ago
6

What is the compound interest of 10400 at 12.7% for 4 year

Mathematics
1 answer:
Naddik [55]2 years ago
8 0

The Compound Interest of 10400 at 12.7% for 4 years is 6378.

The principal amount is given as 10400.

The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:                                  

   P [ (1 + \frac{R}{100} )^n - 1 ]

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]

Now,

10400 [ ( 1 + 0.12.7 )^2 - 1 ]

10400 [ 1.127^4 - 1 ]

10400 [ 1.61322 - 1 ]

10400 x 0.6132

6377.56

Rounding to the nearest whole number.

We have,

Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

#SPJ1

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The probability of winning on a single toss of the dice is p. A starts, and if he fails, he passes the dice to B, who then attem
alekssr [168]

Answer:

The probability of A winning is \frac{1}{2-p} and the probability of B winning is \frac{1-p}{2-p}.

Step-by-step explanation:

The probability of winning is <em>p</em>.

The game stops when either A or B wins.

The sample space of A winning is as follows:

{S, FFS, FFFFS, FFFFFFS, ...}

The sample space of B winning is as follows:

{FS, FFFS, FFFFFS, FFFFFFFS, ...}

Compute the probability of <em>A</em> winning as follows:

P (A winning) = P (S) + P (FFS) + P (FFFFS) + ...

                      =p+(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)p+...\\=p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=p\times \frac{1}{1-(1-p)^{2}}\\=\frac{p}{1-(1-p)^{2}}\\=\frac{p}{1-1-p^{2}+2p}\\=\frac{1}{2-p}

Compute the probability of <em>B</em> winning as follows:

P (B winning) = P (FS) + P (FFFS) + P (FFFFFS) + ...

    =(1-p)p+(1-p)(1-p)(1-p)p+(1-p)(1-p)(1-p)(1-p)(1-p)p+...\\=(1-p)p\sum\limits^{\infty}_{i=0} {(1-p)^{2i}}\\=(1-p)p\times \frac{1}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-(1-p)^{2}}\\=\frac{(1-p)p}{1-1-p^{2}+2p}\\=\frac{1-p}{2-p}

Thus, the probability of A winning is \frac{1}{2-p} and the probability of B winning is \frac{1-p}{2-p}.

3 0
3 years ago
Compare negative one and six tenths repeating and negative five thirds using symbols &lt;, &gt;, or =.
Vinvika [58]

The evaluation among negative one and six tenths repeating and poor 5 thirds using symbols <, >, or = is negative 5 thirds is greater than negative one and six tenths repeating. alternative D

Inequality

more than >

much less than <

Equal to =

Greater than or equal to ≥

Less than or equal to ≤

negative one and six tenths repeating

= -1 6/10

= -1.6

negative five thirds

= -5/3

= -1.666666666666666

-1.666666666666666 > -1.6

therefore, the correct answer is negative five thirds > poor one and 6 tenths repeating.

Inequality refers back to the phenomenon of unequal and/or unjust distribution of assets and possibilities amongst members of a given society. The term inequality can also suggest different things to one-of-a-kind humans and in extraordinary contexts.

The foremost examples of social inequality include income hole, gender inequality, fitness care, and social magnificence. In fitness care, some people receive higher and extra expert care in comparison to others.

Learn more about inequality here brainly.com/question/25275758

#SPJ1

4 0
1 year ago
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