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3 years ago

A town has a population of 12,000 and grows at 3.5% every year what will be the population after seven years

Mathematics

1 answer:

valkas [14]3 years ago

6 0

Answer:

15,267

Step-by-step explanation:

The population is multiplied by 1+3.5% = 1.035 each year. After 7 years, it will be multiplied by 1.035^7:

12,000×1.035^7 = 15,267

The population will be 15,267 after 7 years.

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George earns 9% commission on all of his sales. He had sales of 89,400 for the month. Paris works for a different company, and a

Sholpan [36]

Answer: 10.53%

Step-by-step explanation:

George £89400 @ 9% = £8046 so income = £89400+£8046=£97446

Harris (Paris?) gets £447 more so 97446+447=£97893

and this represents sales of £89400 plus commission

so Harris' commission = £97893-£89400 = £8493

So last stage is what commission percentage is £8493 of original sales £89400 = 10.53%

8 0

3 years ago

Demand The demand function for the product is given by

DiKsa [7]

Answer:

(a) 2996 units

(b) 1897 units

Step-by-step explanation:

p = 10,000(1 - 3/3 + e^-0.001x)

(a) p = $500

500 = 10,000(1 - 1 + e^-0.001x)

500/10,000 = e^-0.001x

e^-0.001x = 0.05

-0.001x = In 0.05 = -2.996

x = -2.996/-0.001 = 2996 units

(b) p = $1500

1500 = 10,000(1 - 3/3 + e^-0.001x)

1500/10,000 = (1 - 1 + e^-0.001x)

0.15 = e^-0.001x

-0.001x = In 0.15 = -1.897

x = -1.897/-0.001 = 1897 units

8 0

3 years ago

Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and

torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

$P(X=x) = C(n,x)p^{x} (1-p)^{n-x}$

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

$C(n,x) = \frac{n!}{x!(n-x)!}$

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

$p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102$

b) At least 3 customers make a purchase. x ≥ 3

$P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557$

c) At most 2 customers make a purchase. x ≤ 2

$P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443$

d)At least 1 customer makes a purchase. x ≥ 1

$P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824$

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0

3 years ago

NEED HELP ASAP! WILL MARK BRAINLIEST!

kenny6666 [7]

Answer:

y=2x-20

Step-by-step explanation:

For perpendicular lines, find the opposite reciprocal of the original slope. The opposite reciprocal of the slope of this line (-1/2) is positive 2

7 0

3 years ago

The stockroom has eight boxes of no. 10 hex head cap screws. how many screws of this type are in stock if the boxes contain , ,

Bezzdna [24]

The number of screws of this type in stock is 80

<h3>How to determine the number of screws of this type are in stock?</h3>

The given parameters are:

Boxes = 8

Hex head cap screws = 10

The number of screws of this type are in stock is

Count = Boxes * Hex head cap screws

Substitute the known values in the above equation

Count = 8 * 10

Evaluate the product

Count = 80

Hence, the number of screws of this type in stock is 80