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VikaD [51]
3 years ago
6

Kingbird, Inc. purchased merchandise with an invoice price of $3200 and credit terms of 2/9, n/30. Assuming a 360-day year, what

is the implied annual interest rate inherent in the credit terms?
Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

80%

Step-by-step explanation:

Data provided as per the question

Number of days in a year = 360 days

Discount provided = 2%

Total net credit period = 30

The calculation of implied annual interest rate inherent in the credit terms is shown below :-

Inherent\ in\ the\ credit\ terms\ = \frac{Number\ of\ days\ in\ a\ year}{Total\ net\ credit\ period\ - Remaining\ days}\times 2\%

Inherent\ in\ the\ credit\ terms\ = \frac{360}{30 - (30\ -\ 9)}\times 2\%Inherent\ in\ the\ credit\ terms\ = \frac{360}{30 - 21}\times 2\%

Inherent\ in\ the\ credit\ terms\ = \frac{360}{\ 9}\times 2\%

Inherent\ in\ the\ credit\ terms\ = \ 40\times 2\%

Inherent\ in\ the\ credit\ terms\ = \ 80\%

Therefore for computing the inherent in the credit terms we simply applied the above formula.

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An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the
nataly862011 [7]

Answer:

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

15 + 0.04y = 24

0.04y= 24-15

0.04y = 9

Y= 9/0.04

Y= 225

Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

Total number of not damaged

= 235+216

= 451

Total number of not damaged= 451

7 0
3 years ago
A simple random sample of size nequals10 is obtained from a population with muequals68 and sigmaequals15. ​(a) What must be true
valentina_108 [34]

Answer:

(a) The distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b) The value of P(\bar X is 0.7642.

(c) The value of P(\bar X\geq 69.1) is 0.3670.

Step-by-step explanation:

A random sample of size <em>n</em> = 10 is selected from a population.

Let the population be made up of the random variable <em>X</em>.

The mean and standard deviation of <em>X</em> are:

\mu=68\\\sigma=15

(a)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Since the sample selected is not large, i.e. <em>n</em> = 10 < 30, for the distribution of the sample mean will be approximately normally distributed, the population from which the sample is selected must be normally distributed.

Then, the mean of the distribution of the sample mean is given by,

\mu_{\bar x}=\mu=68

And the standard deviation of the distribution of the sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{10}}=4.74

Thus, the distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b)

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the value of P(\bar X is 0.7642.

(c)

Compute the value of P(\bar X\geq 69.1) as follows:

Apply continuity correction as follows:

P(\bar X\geq 69.1)=P(\bar X> 69.1+0.5)

                    =P(\bar X>69.6)

                    =P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{69.6-68}{4.74})

                    =P(Z>0.34)\\=1-P(Z

Thus, the value of P(\bar X\geq 69.1) is 0.3670.

7 0
3 years ago
(4^7/5^2)^3 plz help
diamong [38]

Answer:

281474976.711

Step-by-step explanation:

4 0
3 years ago
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20 I'm guessing? Hope this helps!
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What’s the value of x?
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180 - 53 - 96 = 31°. you know the angles are 53 and 96 degrees because the triangles are congruent via SAS congruency.
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