A computer is selling for $883 the finance value is $1077.26 under an 11% simple interest loan what is the length of the loan

9514 1404 393

Answer:

  $794.30

Step-by-step explanation:

The account balance for principal P invested at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t)

We have P=$9538, r=0.08, t=1, and we want the value of P-A, the interest earned.

  P-A = P(1 +0.08/365)^365 -1) = $9538(1.08327757 -1) ≈ $794.30

The interest earned in one year is $794.30.

First, let's expand the inside expression.

4th root [ x^4 * x^4 * x^2 ]

Then, we need to determine how many x^4s we can take the 4th root of. In this case, that is 2. So, the 4th root of x^4 is x.

x * x is x^2

ANSWER: x^2( 4th root [ x^2 ] )

(Option 1)

Hope this helps!

Answer:

a.5

b.3a+3

Step-by-step explanation:

in a,u need to replace 2 with x,so it will be 4-2+3

in b,replace 3a with x and so it will be6a-3a+3

Answer:

The constant is StartFraction 5 over 6 EndFraction

Step-by-step explanation:

StartFraction 5 over 6 EndFraction + one-fourth x minus y

5/6 + 1/4x - y

A. The constant is StartFraction 5 over 6 EndFraction.

True

B. The only coefficient is One-fourth.

False

There are two coefficients: the coefficient of x which is 1/4 and the coefficient of y which is 1

C. The only variable is y

False

There are 2 variables: variable x and variable y

D. The terms StartFraction 5 over 6 EndFraction and One-fourth x are like terms.

False

5/6 and 1/4x are not like terms

The only true statement is: The constant is StartFraction 5 over 6 EndFraction

Answer:

It's A if you don't want to read. A). The constant is 5/6

Step-by-step explanation:

Answer:

The answer would be D

Step-by-step explanation:

This is a piecewise function, meaning that it is split into two parts. The right side is an exponential and that part is greater than one, the left side is a line less than or equal to one. The only equation that matches the criteria for that is D.

Answer:

x^(d+18)

Step-by-step explanation:

using the law of indices

you must add the powers

Answer:

[tex] {x}^{d + 18} [/tex]

Step-by-step explanation:

Answer:

Red ball=3/10

White ball=1/5

Step-by-step explanation:

Red balls=6. And all the balls are equal to 20. So probability of red ball=6/20=3/10.

White balls=4. So probability of white ball=4/20=1/5.

NB: Since the first ball was replaced, there's no need to deduct a ball from the original 20 balls.

In triangle it is given that,

→ Height (h) = 38 cm

→ Base (b) = 44 cm

The formula we use,

→ Area of triangle = ½ × b × h

Now we have to,

find the area of the triangle,

→ ½ × b × h

→ ½ × 44 × 38

→ (44 × 38)/2

→ 1672/2 = 836 cm²

So, 836 cm² is area of triangle.

Answer

There are 170 ways the student can answer the test.

Explanation

If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.

The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.

Now combine the number of choices on the first part and the second part; 100+70 is 170.

Answer:

By making use of a lower confidence level

Step-by-step explanation:

The margin of error is also referred to as the confidence interval and it is the system in which we use to measure the error in the result of the survey or experiment.

Now, for us to reduce the margin of error, there are different things we can do such as;

- increasing sample size

- using less data variation

- making use of a lower confidence level

- making use of a one sided confidence interval rather than a two sided confidence interval.

Looking at the above different methods of making the margin of error smaller, the one that is always under the control of the researcher is "making use of a lower confidence level".

Every other means, he does not have as much control as he has to do to lower the confidence level. That one is strictly based on his jurisdiction.

9514 1404 393

Answer:

  (i) k = 1

  (ii) 4/7

  (iii) arctan(4/7) ≈ 29.7°

Step-by-step explanation:

(i) A graph of the given points is helpful. It shows us the slope of AB is ...

  mAB = rise/run = 2/1 = 2

so the slope of BC must be the opposite reciprocal, -1/2.

Point C is 6-2 = 4 units to the right of point B, so will be (-1/2)(4) = -2 units from point B in the vertical direction. That is, ...

  k = 3 -2

  k = 1

__

(ii) The gradient of AC is found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(6 -(-1))

  mAC = 4/7

__

(iii) The angle that line AC makes with the +x axis is the arctangent of the slope:

  arctan(4/7) ≈ 29.7° . . . angle between AC and +x axis

9514 1404 393

Answer:

  (2x -4) +1/(x -2) -2/(x +4)

Step-by-step explanation:

The attached shows the quotient is (2x -4) and the remainder expressed as a fraction is ...

  r = (8 -x)/(x^2 +2x -8)

So, the problem is to write the partial fraction expansion of this remainder. It will be of the form ...

  r = A/(x -2) +B/(x +4)

where (x-2)(x+4) is the factorization of the divisor quadratic.

The value of A can be found by evaluating (x -2)r at x=2.

 (x -2)r for x=2 is (8 -2)/(2 +4) = 6/6 = 1

The value of B can be found by evaluating (x +4)r at x=-4.

  (8 -(-4))/(-4-2) = 12/-6 = -2

Then the quotient and remainder, written as partial fractions is ...

  = (2x -4) +1/(x -2) -2/(x +4)

_____

Additional comment

In the form ...

  [tex]r=\dfrac{8-x}{x^2+2x-8}[/tex]

we can see that (x -2)r will be ...

  [tex](x -2)r = \dfrac{(x-2)(8-x)}{(x-2)(x+4)}=\dfrac{8-x}{x+4}[/tex]

This can be evaluated at x=2, as we have done above. Similar factor cancellation works to give (x+4)r = (8-x)/(x-2).

This method of arriving at the "A" and "B" values may not pass technical scrutiny regarding where r is defined or undefined--but it works. One could consider the work to be finding a limit, rather than evaluating a rational function at points where it is undefined.

Answer:

A. 2x-4- 2/x+4 +1/x-2

Step-by-step explanation:

Edge

Answer:

(x, y, z) = (-8,4,-2)

Step-by-step explanation:

.......................................

Answer:

Step-by-step explanation:

5/10 is 1/2 or .5   As a percentage, this is .5%, and as a decimal it's .005.  Using this in an equation, .005x = 12.  Divide 12 by .005 to get 2400

Answer:

a) 0.1927 = 19.27% probability that none of the selected adults say that they were too young to get tattoos.

b) 0.3651 = 36.51% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 0.5578 = 55.78% probability that the number of selected adults saying they were too young is 0 or 1.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they say they were too young to get tattoos, or they do not say this. The probability of a person saying this is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

24​% say that they were too young when they got their tattoos.

This means that [tex]p = 0.24[/tex]

Six adults

This means that [tex]n = 6[/tex]

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.24)^{0}.(0.76)^{6} = 0.1927[/tex]

0.1927 = 19.27% probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{6,1}.(0.24)^{1}.(0.76)^{5} = 0.3651[/tex]

0.3651 = 36.51% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

This is:

[tex]p = P(X = 0) + P(X = 1) = 0.1927 + 0.3651 = 0.5578[/tex]

0.5578 = 55.78% probability that the number of selected adults saying they were too young is 0 or 1.

Answer:

Decreased by 20%

Step-by-step explanation:

0.5 x ? = 0.4

? = 0.4/0.5

? = 0.8

1 - 0.8 = 0.2

0.2 = 20%

To check, 20% of 0.5 is 0.1. 0.5 - 0.1 is 0.4. So the answer is correct.

Answer:

5886$ is the ans

Step-by-step explanation:

Paid amount= 6000-600

Total Amount or Interest applicable amount = 5400$

Then

Interest Rate= 9%

by using formula

=. Total amount + Interest rate × Total

=. 5400+0.09×5400

=. 5886$

Answer:

15,136 hands off with cards contain exactly three queens and three jacks.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Standard deck:

4 queens and 4 jacks.

The other 52 - 8 = 44 cards are neither queens nor jacks.

Wow many hands off with cards contain exactly three queens and three jacks?

3 queens from a set of 4.

3 jacks from a set of 4.

2 other cards(not queens neither jacks) from the other 44. So

[tex]C_{4,3}C_{4,3}C_{44,2} = \frac{4!}{1!3!} \times \frac{4!}{1!3!} \frac{44!}{2!42!} = 4*4*22*43 = 15136[/tex]

15,136 hands off with cards contain exactly three queens and three jacks.

Answer:

The equation of the point (4, 12) is y=4x+12

Answer:

6

Step-by-step explanation:

f(x) = 2(x - 5)

f(8) = 2(8 - 5)

f(8) = 16 - 10

f(8) = 6

The answer is 6, hope this helps.

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]\sf \: f(x) = 2(x - 5) \\ \\\sf x = 8 \\ \\\sf f(8) = 2(8 - 5) \\\sf \: f(8) = 2(3) \\ \sf \: f(8) = 2 \times 3 \\\sf f(8) =\underline 6[/tex]

Option B - 06 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

the answer would be -1,224 because the parentheses is your multiplication and the it is a negative

Answer:

Start with the formula for Z:

Z = (x-µ)/(σ/√n)

We want the sample mean to be within one-half year of the population mean, so we set x-µ=0.5. We are looking for a 99% confidence interval, so we set Z=2.7578. We are told to use σ=18.1. Plugging those values into the formula, we get:

2.5758 = 0.5(18.1/√n)

We can rearrange to solve for n:

((2.5758-18.1)/0.5)2 = n

Plugging that into our calculator, we get n = 964.003. Since we can't have a fraction of a person in our sample, it would be safest to round up to n=965. (But since .003 is so small, I'd also accept 964 as an answer.)Step-by-step explanation:

The required sample size for the given population distribution is; n = 8696 female ages

We are given;

Standard deviation; σ = 18.1

Confidence level; CL = 99%

Now, formula to find the margin of error is;

E = z(σ/√n)

Where;

E is margin of error

z is critical value at confidence level

σ is standard deviation

n is required sample size

Now we are told that the sample mean is within one-half year of the population mean.

Thus;

E = 0.5

z value at 99% Confidence level is;

z = 2.576

Thus, Making n the subject of the formula is;

n = (zσ/E)²

n = (2.576 × 18.1/0.5)²

n = 8695.78

Approximating to a whole number gives;

n = 8696 female ages

Read more about margin of error at; https://brainly.com/question/6650225

Answer:

A. This test is very resistant to departures from normal distributions.

Step-by-step explanation:

The Ftest or Fratio usually used to obtain the test statistic during hypothesis testing using the analysis of variance, is used to compare the equality or differences in population vatfuance or standard devuation. The critical values of the Ftest or Fratio is obtained using the F distribution table. When testing hypothesis using the F test, it requires that both populations follow a normal distribution.

Hence, the option, that F test is resistant to departures for normal distribution is not true of the Ftest.

Answer:

11.2

Step-by-step explanation:

Given the linear equation :

2.6(5.5p-12.4)=127.92 ; solve for p

Open the bracket :

14.3p - 32.24 = 127.92

Add 32.24 to both sides

14.3p - 32.24 + 32.24 = 127.92 + 32.24

14.3p = 160.16

Divide both sides by 14.3

14.3p/14.3 = 160.16/ 14.3

p = 11.2

The value of p = 11.2

Answer:

10!

Step-by-step explanation:

Septillion-10 letters

1-s-10 places to be in

2-e-9

3-p-8

4-t-7

5-i-6

6-l-5

7-l-4

8-i-3

9-o-2

10-n-1

So, then

10×9×8×7×6×5×4×3×2×1=10!

or 3628800

The arrangement of the number will be equal to 3628800.

A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

The given word is SEPTILLION. The word has 10 characters. The different ways of the arrangement will be calculated as,

Arrangement = 10!

Arrangement = 10×9×8×7×6×5×4×3×2×1

Arrangement = 3628800

Therefore, the arrangement of the number will be equal to 3628800.

To know more about permutation and combination follow

https://brainly.com/question/4658834

#SPJ2

Answer:

1=2p+3

2=

Step-by-step explanation:

Answer:

73,188

Step-by-step explanation:

fees plus costs minus expenses

Answer:

Using z table

                         = 0.0013

The probability = 0.0013

Step-by-step explanation:

Given that,

mean = μ = 45

standard deviation = σ   = 9

n=81

μT = μ =45

[tex]\sigma T = \sigma / \sqrt n = 9 / \sqrt81 =1[/tex]

[tex]P(T <42 )\\= P[(T - \mu T ) / \sigma T < (42-45) /1 ]\\\\= P(z <-3 )[/tex]

Using z table

= 0.0013

probability= 0.0013

Answer:

b 34 the higest is 40 an the lowest 6 the diferens is 34

Step-by-step explanation:

Mark me brainlest pliz

Answer:

i would but this not my question this is theres he right A.

Step-by-step explanation: