A principal of ​$6000 is invested in an account paying an annual rate of 5​%. Find the amount in the account after 3 years if the account is compounded​ semiannually, quarterly, and monthly.

Answers

Answer 1

Answer = Is this the correct answer $18900

Step-by-step explanation:

Answer 2

Answer:

principal=$6000

rate=5%

time=3 years

first find interest

interest=P*T*R/100

=$6000*3*5/100

=$900

so to find amout use formula ,

Amount=principal+Interest

=$6000+$900

=$6900

Step-by-step explanation:

Therefore Amount=$6900


Related Questions

Match terms to definitions
A. Statistic.
B. Null hypothesis.
C. Slope of the least-squares line
D. Population
E. p-value.
F. Coefficient of Determination r2begin mathsize 12px style r squared end style -
G. z-score
H. Parameter
I. Sampling distribution
J. Sample
1. Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.
2. All objects or individuals of interest.
3. Probability distribution of a sample statistic based on all possible simple random samples of the same size from the same population.
4. Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.
5. Some individuals or objects of interest.
6. A numerical measure that describes an aspect of a sample.
7. Distance from mean in terms of standard deviation units.
8. A claim about a population parameter.
9. A numerical measure that describes an aspect of a population.
10. Marginal change of the response variable.

Answers

Answer:

A. Statistic = A numerical measure that describes an aspect of a sample.

B.) Null hypothesis = A claim about a population parameter.

C.) Slope of the least square line = Marginal change in response variable.

D.) Population = All Objects or individual of interest

E.) P - value = Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.

F.) Coefficient of determination = Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.

G.) Z score = Distance from mean in terms of standard deviation units.

H.) Parameter = A numerical measure that describes an aspect of a population.

I.) Sampling distribution = Probability distribution of a sample statistic

J. Sample = Some individuals or objects of interest

Step-by-step explanation:

Answer is Explanatory

Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3

Answers

the volume is 235.6 mm^3

Use the Binomial Theorem to find the coefficient of x^3y^2z^5 in (x + y + z)^10.

Answers

Answer:

The coefficient is 2520

Step-by-step explanation:

Given

[tex](x + y + z)^{10[/tex]

Required

The coefficient of [tex]x^3y^2z^5[/tex]

To do this, we make use of:

[tex]k = \frac{n!}{n_1!n_2!....n_m!}[/tex]

Where

[tex]k \to[/tex] coefficient

[tex]n = 10[/tex] the exponent of the given expression

[tex]n_1=3[/tex] -- exponent of x

[tex]n_2=2[/tex] --- exponent of y

[tex]n_3=5[/tex] --- exponent of z

So, we have:

[tex]k = \frac{n!}{n_1!n_2!....n_m!}[/tex]

[tex]k = \frac{10!}{3!2!5!}[/tex]

Expand

[tex]k = \frac{10*9*8*7*6*5!}{3!2!5!}[/tex]

[tex]k = \frac{10*9*8*7*6}{3!2!}[/tex]

[tex]k = \frac{30240}{3!2!}[/tex]

Expand the denominator

[tex]k = \frac{30240}{3*2*1*2*1}[/tex]

[tex]k = \frac{30240}{12}[/tex]

[tex]k = 2520[/tex]

What is the area of the sector for the following circle? Round your answer to 4 decimal places. *

Answers

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

What is the distance between these order pairs (-4, 9) and (-4, 6)

Answers

9514 1404 393

Answer:

  3 units

Step-by-step explanation:

The ordered pairs describe points on the same vertical line: x = -4. The distance between them is the difference of their y-coordinates:

  9 - 6 = 3

The distance between the given points is 3 units.

A developmental psychologist would like to determine whether infants display any color preferences. A stimulus consisting of four color patches (red, green, blue, and yellow) is projected onto the ceiling above a crib. Infants are placed in the crib, one at a time, and the psychologist records how much time each infant spends looking at each of the four colors. The color that receives the most attention during a 100-second test period is identified as the preferred color for that infant. The preferred colors for a sample of 60 infants are shown in the following table:
Red Green Blue Yellow
20 12 18 10
a. Do the data indicate any significant preferences among the four colors? Test at the .05 level of significance.
b. Write a sentence demonstrating how the outcome of the hypothesis test would appear in a research report.

Answers

Answer:

There is insufficient evidence to suggest that preference exists among the four colors.

Step-by-step explanation:

Xobserved, Xo = 20 __ 12 __ 18 __ 10

Xexpected, Xe = ΣX observed / n = 60 /4 = 15

Test statistic :

χ² = Σ(Xo - Xe)² / Xe

χ² = (20-15)²/15 + (12-15)²/15 + (18-15)²/15 + (10-15)²/15

χ² = 5²/15 + (-3)²/15 + 3²/15 + (-5)²/15

χ² = 4.533

The critical value :

df = n - 1 ; 4 - 1 = 3

χ²critical (0.05, 3) = 7.815

Decison region :

|χ²| < χ²critical ; Fail to reject the null

For this analysis ;

|χ²| < χ²critical ; Fail to reject the Null

Hence, there is insufficient evidence to suggest that preference exists among the four colors

What type of angles are 4 and 5

Answers

Answer:

Alternate interior angles.

The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines

Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.

Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.

When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.

The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.

To know more about  alternate interior angles. here

https://brainly.com/question/20344743

#SPJ2

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

(Btw that’s not 50 points, imma solve this for you because you’re desperate)

Using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 4^2 + 7^2
c^2 = 16 + 49
c^2 = 65
c = 8.1
Yaah what the guy said above me :^

A baker is selling pies his first customer buys 1/2 of all the pies plus 1/2 of a pie. His second customer then buys 1/2 of the pies plus 1/2 of a pie the last customer buys 1/2 of the pies plus 1/2 pie. he has no more pies. how many did he start with?

Answers

Answer:

7 pies

Step-by-step explanation:

last customer: ½+½= 1

second customer =( 1×2)+1 = 3

first customer = (3×2)+1 = 7

Determine the equation of the circle graphed below.

Answers

Answer:

(x - 2)² + (y + 4)² = 29

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

(h, k) is the center and ris the radius

-----------------------------------

For center (2, -4)

(x - 2)² + (y + 4)² = r²

use the distance formula to find d² which is the same as r²

r² = d² = (x2 - x1)² + (y2 - y1)²

r² = (4 - 2)² + (1 - -4)²

r² = 2² + 5²

r² = 29

Now the equation becomes

(x - 2)² + (y + 4)² = 29

Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for whitefly.

Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.

Answers

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

stan bought 5lbs of raisins at $3.55/lb . if he wanted to but 4 more pounds of a different kind of raisins to make the average price per pound equals to $3.23 what price should he pay for the additional 4lb?

Answers

Answer:

$2.83

Step-by-step explanation:

5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb

$17.75 + 4lb(x) = $29.07

-$17.75. -$17.75

4lb(x) = $11.32

___________

4lb. 4lb

x = $2.83

Which is correct answer ??

Answers

Answer:

.....

Step-by-step explanation:

attach the question properly

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15

Answers

Answer:

x = 7

Step-by-step explanation:

Given that,

x varies inversely as v.

When v = 3, x = 35.

We need to find x when v = 15

ATQ,

[tex]x=\dfrac{k}{v}[/tex]

Put v = 3, x = 35,

[tex]k=3\times 35\\\\k=105[/tex]

Now put v = 15 and k = 105

[tex]x=\dfrac{105}{15}\\\\x=7[/tex]

So, the required value of x is equal to 7.

Which of the following describes the number 6 in the equation 6z= 12?

1
variable

2
constant term

3
coefficient

4
term

Answers

Answer:

4 term describes the number 6 in 6z=12

Step-by-step explanation:

Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

Answers

Answer:

Step-by-step explanation:

A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

its C and D i think good luck people

<3

Avery spent 10 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?

Answers

Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming

Step-by-step explanation:

plss help!!sorry if i asked alot

Answers

Its actually simple it is the slope for what you got on the first answer (2/3) because the equation is y=mx+b so you already found m just have to look more carefully :)

Answer:

[tex] \frac{2 }{3} [/tex]

Step-by-step explanation:

Formula is

y=mx+c So,2by 3 is m and x is there and 2 at last is c .

answer is 2 by 3

A stove heats food by adding _______ to the food.

Answers

by adding HEAT or HEAT ENERGY

Angles and are supplementary. Find the measure of angle C

Answers

Answer:

Angle C = 106 degrees

Step-by-step explanation:

I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)

Supplementary angles add up to 180 degrees

180 - 74 = 106 degrees

Pleaseee helppp I have no cluee!!!

Answers

Answer:

the correct answer is Victoria's answer

What is the volume of the rectangular prism?
50 POINTS

Answers

Answer:

A

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sorry to burst your bubble but thats 5 ponits

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebrainliest

Answers

Answer:

1/3

Step-by-step explanation:

Divide the numerator and denominator by 6.

6/18 = 1/3

How many solutions would the following system of equations have? y=3x+2, and y=3x-4 is it 0, 1 or infinite ?

Answers

There are no solutions

PLZ HURRY GOT 10 MINS LEFT

Answers

Answer:

6 units

Step-by-step explanation:

Both units lie on the -5 x-axis, so you only have to look at the difference in the y-axis. Going from -2 to -8 is a 6 unit difference.

Hope this helps :)

help me fast plzzzzzzzzzzz

Answers

this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!

Which inequality is graphed below?

Answers

Answer:

3x-2y>6

Step-by-step explanation:

There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students

Answers

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

Can you please help me

Answers

9514 1404 393

Answer:

x = 95°y = 75°arc ABC = 150°

Step-by-step explanation:

The relevant relations are ...

an inscribed angle is half the measure of the arc it interceptsopposite angles of an inscribed quadrilateral are supplementary

__

Using the second relation, ...

  x = 180° -85° = 95°

  y = 180° -105° = 75°

Using the first relation, ...

  arc ABC = 2y = 2(75°) = 150°

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