PLEASE HELP ME!!
For the following exercise, use the compound interest formula, A(t) = P(1 +r/n)^t.
where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression 10,400(1 +0.02/2)^20
had the account been accumulating interest?

How many years

PLEASE HELP ME!!For The Following Exercise, Use The Compound Interest Formula, A(t) = P(1 +r/n)^t.where

Answers

Answer 1

Answer:

A = $10,441.68

A = P + I where

P (principal) = $10,400.00

I (interest) = $41.68

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,400.00(1 + 0.0002/2)(2)(20)

A = 10,400.00(1 + 0.0001)(40)

A = $10,441.68

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

Answer 2

The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =[tex]P(1+r/n)^rt[/tex]

Given that

A = $10,441.68

A = P + I

P (principal) = $10,400.00

I (interest) = $41.68

First, we need to convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then we will solve the equation for A

A = [tex]P(1+r/n)^rt[/tex]

[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]

A = 10,400.00(1 + 0.0001)

A = $10,441.68

Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

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Related Questions

A side of 6 feet, and a 120° angle
A. One
B. None. C. Many

Answers

Answer:

C. Many ang sagot............

It's free!

Enjoy! :)

A triangular pyramid is 30 meters tall and has a base area of 500 square meters. What is the volume of the pyramid?

A) 7,500
B) 5,000
C) 15,000
D) 6,200

Answers

Answer:

C

Step-by-step explanation:

if it has a base area that means 500/4 = 125 so each side is 125 on the base.

The formula for the volume of a triangular pyramid is 1/3lwh.

if L=125 and w=125 and H= 30

we multiply 125·125·30=468750

and 468750/3=156250

so rounding that, our base would be C)15,000

Find the volume of a pyramid that has a rectangular base that is 12 inches 10 inches and a vertical height of 9 inches.

Answers

6 inches is the answer because it’s all you need

Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

Answers

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

i need this fast thank you! :)

Answers

Answer:

C

Step-by-step explanation:

Hope this helps! Good Luck!

a

explanation

1/5280 = 5/x

the 1 and 5 represent the miles

5280 and x represent the total ft

so 5280 x 5 would be how to solve x because whatever you do the top you do the bottom which 1 x 5 being 5 so 5280 x 5 being 26400

Write 9/5 as a decimal number.

Answers

Answer:

1.8

Step-by-step explanation:

you have to divide 9 from 5 to get 1.8

Answer:

Decimal 1.8

Percentage 180%

Step-by-step explanation:

Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230

Answers

i think it’s option 2 but i’m not rlly sure

Plsss help mark brain list

Answers

Answer:

105

Step-by-step explanation:

42 * 2 = 84

360 - ( 84+171 ) = 105

Answer:

arc RS = 105°

Step-by-step explanation:

arc RT = 2(42°) = 84°

arc RS = 360° - 84° - 171° = 105°

Is 4/5 closer to 0,1/2, or 1?

Answers

Answer:

1

Step-by-step explanation:

4/5 is closer to 1

4/5 = 0.8 and 1/2 = 0.5, so you could eliminate 0 as an answer. it would be between 0.5 and 1. my answer would be 1 because it’s closer than 0.5

Convert 42°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas

c=5/9(F-32)
F=9/5 C+32

Answers

9514 1404 393

Answer:

  5.6 °C

Step-by-step explanation:

Put the number in the formula and do the arithmetic.

  C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9

  42 °F ≈ 5.6 °C

Please help!? Work out the size of angle x. 42 degrees and 123 degrees?

Answers

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

180° - 123° = 57° (sum of angles on a straight line)

Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.

57° + 42° + u° = 180°

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

x° + 81° = 180°

x° = 180° - 81°

x° = 99°

Please help, I'll mark the correct answer as brainiest!!!

Answers

Answer:

$1612

Step-by-step explanation:

12% of 2400

12/100 * 2400

0.12 * 2400 = 288

Amount to be paid :

2400 - 288 = 2112

Down payment = $500

Amount owed =

Amount to be paid - Down payment

$2112 - $500

= $1612

Hence, amount owed for installment loan = $1612

The critic rating and audience score for 8 movies are shown in the table.
Critic Rating 72 80 65 23 28 60 41 35
Audience Score 64 92 90 48 55 70 44 80
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
A. A one-sample t-test for means
B. A linear regression t-interval for slope
C. A two-sample t-interval for a difference between means
D. A matched-pairs t-interval for a mean difference
E. A two-sample Z-interval for a difference between proportions

Answers

Answer:

B. A linear regression t-interval for slope

Step-by-step explanation:

Given the data for the critic rating and audience score, the relationship between this vmaues acb be modeled using regression, the slope value helps give the average change in the dependent variable (audience svi per unit change in the value of the independent variable (critic rating). The t distribution is employed due to the relatively small sample size which

does not form an approximately normal distribution according to the Central limit theorem.

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

Answers

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

 

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

 

The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.24 per pound?



Round answers to the nearest pound.



pounds of cashews
pounds of Brazil nuts

Answers

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96

b→ = ⟨−1,3⟩ and c→ = ⟨−11,−2⟩.

What is c→ + b→ in component form?

Enter your answer by filling in the blanks.

c→+b→ = ⟨ __ , __ ⟩

Answers

Answer:

-12,1

(-12î, 1j)

is the ans

Answer:

The answer is, (-12î, 1j)

Step-by-step explanation:

Definition of component form:

The ordered pair that describes the changes in the x- and y-values is the component form of a vector. the ordered pair that describes the changes is [tex](x_{2} -x_{1} ,y_{2} -y_{1} )[/tex].

According, to the question:

= (-11-1),(-2+3)

= -12,1

= (-12î, 1j)

The component form are (-12î, 1j)

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The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%

Answers

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

Write an equation in slope and intercept form of the line (0,4) and (2,0)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]



Suppose the point (3,-1) is changed to (3,0) on this rectangle. Change a second point
so the figure remains a rectangle. What is the area of the new rectangle?

Answers

Answer:

10 units I believe......

Answer:

The area is 10 sq. units

Step-by-step explanation: (-2, 1) would change to (-2, 0). So the width changes to 2 and the length becomes 5, making the area 10 sq. units

what is 13 more than 3 times a number is 34 and what is the solution

Answers

Answer:

13 + 3x = 34

Variables:

x = random number

6 - 7x
a) constant binomial
b) linear binomial
c) quadratic binomial
d) cubic trinomial

Answers

Answer:linear binomial

Step-by-step explanation:

Answer:

B) Linear binomial.

Step-by-step explanation:

????

An army of clone warriors is quadrupling every year. If the army started with only one warrior
named Clone Alpha, how many clones will there be in a decade?
A) 262,144 clones
B) 4,194,304 clones
C) 1,048,576 clones
D 10,485,760 clones

Answers

Answer:

C) 1,048,576 clones

Step-by-step explanation:

An army of clone warriors is quadrupling every year.

This means that the amount of clone warriots after t years is given by:

[tex]A(t) = A(0)4^t[/tex]

Started with only one warrior:

This means that [tex]A(0) = 1[/tex], so:

[tex]A(t) = 4^t[/tex]

How many clones will there be in a decade?

A decade is 10 years, so this is A(10).

[tex]A(10) = 4^{10} = 1,048,576[/tex]

The correct answer is given by option C.

40 pts please help (:
Find the geometric probability of throwing a dart and hitting the yellow ring. You may assume the dart will not miss the target entirely.

Answers

Answer:

c

Step-by-step explanation:

Answer:

i think it d

Step-by-step explanation:

sorry if it turn out wrong

a2+9a+18

Can someone factor this for me

Answers

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)


8. The difference between two numbers is 33 and the ratio
between them is 5:2. Find the numbers

Answers

Answer:

Step-by-step explanation:

x - y = 33

x/y = 5/2      Multiply both sides by y

y*x/y =5y/2

x = 5y/2       Multiply both sides by 2

2x = 5y        Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

====================

2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66      Divide by - 3

y = 22

x - y = 33

x - 22 = 33    Add 22 to both sides

x = 22 + 33

x = 55

help please Im bout to fail.....

Answers

Answer:

it's the second to last one on the right side

Answer: (Not if I'm involved!)

Move the dot to the fourth tick mark to the right of zero.

Step-by-step explanation:

Each of the tick marks represent two, & 8 is the fourth positive multiple of 2. So move the dot to the fourth tick mark to the right of zero, which will represent 8.

Betsy started a business 2 years ago. She had 8 customers in the first year. She added 18
customers in the second year. Betsy's goal is that in each of the next 4 years, she will have
three times as many customers as the year before. Betsy says her calculations in the table
below show that if she meets this goal each year, she will have 312 customers 4 years from
now. Is Betsy correct? Use the drop-down menus to explain your reasoning.

I need help !

Answers

Answer:

Step-by-step explanation:

If im correct it will be no because...

18 x 3 = 54

Now you do

54 + 54 = 216

I might be right or wrong (sorry if i got it wrong)

Answer:

Betsy's Calculations in step 1 are Incorrect because she should have multiplied 18*3^4 before adding 3

Betsy's Calucations in step 2 are Incorrect because she did not find the correct value of 3^4

If Betsy reaches her goal each year, she will have 1,466 customers 4 years from now.

Step-by-step explanation:

God helped me plus i had this question on the Iready 7th grade math diagnostic

Shown above is a slope field for the differential equation dydx=y2(4−y2). If y = g(x) is the solution to the differential equation with the initial condition g(−2)=−1, then, limx→∞g(x) is

Answers

The value limx→∞g(x) is zero option (c) is correct.

What is a differential equation?

The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.

We have a differential equation:

[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]

[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex]   (rearranging the equation to solve)

[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex]    (after integrating both sides)

For the given initial condition g(-2) = -1

When x = -2, y = -1

[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]

[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]

The value of c = 2.18

The equation we get:

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]

As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.

The value   [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.

[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]

Thus, the value  [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.

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Find the area of this circle.
6 in.

Use 3.14 for

Answers

I think the answer is 113.1

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

JIG and MLN is the answer to this
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