Jodie wants to take a trip around the world. She plans to deposit $200 at the beginning of each month into an investment with a 2.75% interest rate, compounded monthly. How much will she have in the account after 10 years? (2 points) a $27,588.35 $27,651.57 $181.316.54 d $186,302.74​

A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

To learn more about statistics visit:https://brainly.com/question/29093686

#SPJ4

Answer:

A.) (1 - p)^n

B.) 1 - (1 - p)^n

C.) (1 - p)^n + np*(1-p)^(n-1)

D.) 1 - (1 - p)^n - np*(1-p)^(n-1)

Step-by-step explanation:

General form of a binomial probability :

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p ; n = number of trials ; x = number of successes ; p = probability of success

A.) probability of no successes ;

P(x = 0) = nC0 * p^0 * (1 - p)^(n-0)

P(x = 0) = 1 * 1 * (1 - p)^n

P(x = 0) = (1 - p)^n

Probability of atleast one success = 1 - P(no success)

P(x ≥ 1) = 1 - P(x = 0)

P(x = 0) = (1 - p)^n

P(x ≥ 1) = 1 - P(x = 0) = 1 - (1 - p)^n

Probability of at most one success

P(x ≤ 1) = p(x = 0) + p(x = 1)

P(x = 0) = (1 - p)^n

P(x = 1) = nC1 * p^1 * (1 - p)^(n-1)

P(x = 1) = n * p * (1 - p)^(n-1) = np*(1-p)^(n-1)

P(x ≤ 1) = (1 - p)^n + np*(1-p)^(n-1)

Probability of atleast two successes:

(1 - probability of at most 2 successes)

P(x ≥ 2) = 1 - P(x ≤ 1)

P(x ≥ 2) = 1 - (p(x = 0) + p(x = 1))

P(x ≥ 2) = 1 - p(x = 0) - p(x = 1))

P(x ≥ 2) = 1 - (1 - p)^n - np*(1-p)^(n-1)

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

k = am + 3mx

Group by taking common factor m

k = m(a + 3x)

Divide both sides by (a +3x)

k / (a+3x) = m

Then, m = k / (a+3x). This is the answer

Step-by-step explanation:

Answer:

$356.40

Step-by-step explanation:

Simply multiply 330 by 8% on a calculator:

330*1.08=356.4

The tax rate is the percentage of an income or an amount of money that has to be paid as tax. These officials prefer lower tax rates on capital gains. The budget may bring down the corporate tax rate from 35 percent to 30 percent, the peak rate of individual tax.

Answer:

9/8

Step-by-step explanation:

x=(3/4)/2*3=9/8

Answer:9/8

Step-by-step explanation:divide 3/4 by 2/4

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

Learn more on Graphs of linear equations here: https://brainly.com/question/4074386

#SPJ1

Answer:

Your credit card issuer will calculate your finance charge for you in your bill, but ... when you're charged one, so there's not necessarily a need to calculate it on your ... With most credit cards, the billing cycle is shorter than a month, for example, ... transactions made on your credit card in the current or previous billing cycle.

Step-by-step explanation:

Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

Answer:

x=-3

Step-by-step explanation:

rearrange terms

distribute

subtract the numbers

subtract 1 from both sides of the equation

simplify

Answer:

Step-by-step explanation:

Here you go mate

Step 1

7(1-8x)-6=169  Equation/Question

Step 2

7(1-8x)-6=169  Simplify

-56x+1=169

Step 3

-56x+1=169  Subtract 1

-56x=168

Step 4

-56x=168  Divide both sides

Answer

x=-3

The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.

In a basketball game, team B scored 5 baskets for every 2 that team A scored.

The utilization of two or more additional numbers that compares is known as the ratio.

Assume that Team A scored two baskets while Team B netted five.

The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:

Ratio = 2x : 5x

Ratio = 2: 5

Thus, the correct option is B.

More about the ratio link is given below.

https://brainly.com/question/13419413

#SPJ1

Answer:

Step-by-step explanation:

F=ma

28=7m

m=28/7=4

F=4a

when a=3 m/s²

F=4×3=12 N

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

1. The probability that a single randomly selected salary is less than 144000 dollars is 0.5129. 2. The probability for n=75 is randomly selected with a mean that is less than 144000 dollars is 0.8781.

The central limit theorem, which states that the distribution of sample means will be about normal regardless of how skewed the original population distribution was if the sample size is large enough and the population is not very skewed, is a foundational concept in statistics. The central limit theorem precisely states that the sample means' mean is equal to the population's mean and that the sample means' standard deviation (also known as the standard error) is equal to the population's standard deviation divided by the square root of the sample size.

The z-score us given by the formula:

z = (x - μ) / σ

1. For salary less than 144000 dollars:

z = (144000 - 143000) / 31000 = 0.0323

Using the z-table:

z-score < 0.0323 = 0.5129

Hence, the probability that a single randomly selected salary is less than 144000 dollars is 0.5129.

2. For n = 75:

z = (x - μ) / (σ / √(n))

z = (144000 - 143000) / (31000 / √(75)) = 1.164

Using z-table:

z-score is less than 1.164 = 0.8781.

Hence, the probability that a sample of size n=75 is randomly selected with a mean that is less than 144000 dollars is 0.8781.

Learn more about central limit theorem here:

https://brainly.com/question/18403552

#SPJ1

9514 1404 393

Answer:

  yes, EF || GH

Step-by-step explanation:

Using the slope formula, we can compare the slopes of EF and GH.

  m = (y2 -y1)/(x2 -x1) . . . . . slope of segment between (x1, y1) and (x2, y2)

Slope of EF is ...

  m = (1 -5)/(7 -2) = -4/5

Slope of GH is ...

  m = (5 -(-3))/(-8 -2) = 8/-10 = -4/5

The slopes of the segments are the same, so they are parallel.

Answer:

y=24

Step-by-step explanation:

Answer:

115% or 15%

Step-by-step explanation:

14000=100%

16100=X%

14000/100=140

16100/140=115

so 115% or 15%

The percentage markup for the car is 15%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The wholesale price of the car = $14,000

The selling price of the car = $16,100

Now,

The markup price.

= 16,100 - 14000

= $2,100

Now,

The percentage markup.

= 2,100/14000 x 100

= 15%

Thus,

The percentage markup is 15%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x} so that the line integral over C alone is 60/3 - (-44) = 64.

M(x, c) M(x, d) dx is equivalent to = b M(x, c) dx + M(x, d) dx. So, by demonstrating that the two sides of a rectangle are equal, we have established Green's Theorem. The sum of rectangles theorem. Since each region can be as nearly approximated by a sum of rectangles as desired, Green's Theorem must apply to all regions.

It looks like the integral is

\(\int\limits^0_c {xy} + x^{2} y^{3} \, dy\)

Let's close the loop by adding a line integral over the line segment joining (1, 4) to (0, 0). Then the closed loop is the triangular region

T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x}

Since the integrand has no singularities over or on the boundary of T, we have by Green's theorem

Compute the double integral:

From this result, we subtract the line integral over the extra line segment we added. Parameterize this path by

C' : {(1 - t, 4 - 4t) : 0 ≤ t ≤ 1}

The line integral over C' is

\(\int\limits^1_0 {(256t^{5} }+1280t^{4}+ 2560t^{3} - 2564t^{2} + 1288t - 260) \, dt\)

T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x} so that the line integral over C alone is 60/3 - (-44) = 64.

To know more about Green's theorem visit:

https://brainly.com/question/27549150

#SPJ4

Answer:

B

Step-by-step explanation:

I had this on my previous test, lol

Answer: A) No values of k are the expressions 12d + 8 and 4(3d + 5) - 8 equivalent.

They are the same if one amount or value has the same value as another.

We need to set the formulae 12d + 8 and 4(3d + 5) - 8 equal to one another and solve for k to get the values of k for which they are equivalent:

12d + 8 = 4(3d + 5) - 8

When we simplify this equation, we obtain:

12d + 8 = 12d + 12

When we take away 12d from both sides, we obtain:

8 = 12

There are no variables of k for which the expressions are similar because this equation is false for all values of d.

As a result, the response is A) No values.

To know more about Equivalent Value visit:

https://brainly.com/question/30054765

#SPJ1

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

the ans is 45⁰ BC it is a right angle

Step-by-step explanation:

Is this a trigonometry ratio

Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

▪️Learn more about first-degree equations here:

↦brainly.com/question/18219612

↦brainly.com/question/21222758

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

For more such questions on volume

https://brainly.com/question/27710307

#SPJ8

Answer:

C 25

Step-by-step explanation:

These angles are supplemental.  That means that they add to 180

64 + 4y + 16 = 180  Combine like terms

4y + 80 = 180    Subtract 80 from both sides

4y = 100   Divide both sides by 4

y = 25

Answer:

< A = 148°

Step-by-step explanation:

<A = <B → 6x - 2° = 4x + 48° → 2x = 50° → x = 25°

<A = 6(25°) - 2° = 150° - 2° = 148°

Amount $300 was invested at the 8% rate.

What is interest?

Interest is most frequently reflected as an periodic chance of the quantum of a loan. This chance is known as the interest rate on the loan. For illustration, a bank will pay you interest when you deposit your plutocrat in a high- yield savings regard.

The three types of interest include simple (regular) interest, accrued interest, and compounding interest.

To calculate simple interest, multiply the top quantum by the interest rate and the time. The formula written out is" Simple Interest = star x Interest Rate x Time." This equation is the simplest way of calculating interest.

Given that;

Total investement = $500

at the interest of 7%.

Let $x be the  invested at 7% and (500-x ) was invested at 8%

∴ The total interest after 1 year = $ [x *7*1/100 + (500-x) *8*1/100]

According to problem,

$ [x *7*1/100 + (500-x) *8*1/100] = $38

⇒7x +4000 - 8x = 38×100

⇒ -x = 3800 - 4000

⇒ x = $ 200

Therefore $(500-200)= $300 was invested at 8% rate.

Learn more about interest click here:

https://brainly.com/question/16134508

#SPJ1