What are the three theorems we can use

A boat costs $8,350 and decreases in value by 12% per year. how much will the boat be worth after 5 years?

BARSIC [14]

The boat would cost 3,340 dollars

7 0

3 years ago

7. Given the following information, calculate, in order, the amount credited and the outstanding balance.

svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

5 0

2 years ago

A population of 120,000 grows 3% per year for 15 years, how much will the population be after 15 years?

Wewaii [24]

270,000 is the answer because you have three over 100 so you do 100 divided by three which give you 0.15 then you do 120,000 times 0.15 to find out how much it grows per year to get 18,000 then you multiply 18’000 by 15 and get 270’000

3 0

3 years ago

A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o

balu736 [363]

Answer:

a

$P(X \ge 1) = 0.509$

b

$P(X \ge 1) = 0.6807$

Step-by-step explanation:

From the question we are told that

The number of students in the class is N = 20 (This is the population )

The number of student that will cheat is k = 3

The number of students that he is focused on is n = 4

Generally the probability distribution that defines this question is the Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally probability mass function is mathematically represented as

$P(X = x) = \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}$

Here C stands for combination , hence we will be making use of the combination functionality in our calculators

Generally the that he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

Here

$P(X \le 0) = \frac{ ^{3} C_0 * ^{20 - 3} C_{4- 0}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ ^{3} C_0 * ^{17} C_{4}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ 1 * 2380}{ 4845}$

$P(X \le 0) = 0.491$

Hence

$P(X \ge 1) = 1 - 0.491$

$P(X \ge 1) = 0.509$

Generally the that he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

$P(X \ge 1) =1- [ \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}]$

Here n = 6

So

$P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}]$

$P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}]$

$P(X \ge 1) =1- [ \frac{1 * 12376}{38760}]$

$P(X \ge 1) =1- 0.3193$

$P(X \ge 1) = 0.6807$

5 0

3 years ago

Which best describes the transformation?

sergiy2304 [10]

Is it clockwise rotation or counterclock wise?

If it’s clockwise rotation then C is the answer but if it’s counter lock wise rotation then the answer is A.

Hope this helps!

3 0

2 years ago

Read 2 more answers