INTEREST Bianca invested $5000 in an account that pays 5% annual interest.
a. Write a function that represents the value in Bianca's account y after x years.

PLEASE HELP!!

Jess will retire at about 41.98 years historic or round her forty second birthday.

To calculate how lengthy it will take for Jess's financial savings account to attain one million dollars, we can use the system for compound interest:

A = P(1 + r/n)(nt)

Where:

A = Total quantity (one million bucks in this case)

P = Principal quantity (initial credit score of $50,000)

r = Annual hobby price (9% as a decimal, so 0.09)

n = Number of instances the hobby is compounded per yr (in this case, compounded annually)

t = Number of years

Substituting the given values into the formula, we have:

1,000,000 = 50,000(1 + 0.09/1)(1t)

Simplifying:

20 = (1.09)t

To clear up for t, we want to take the logarithm of each aspects of the equation. Let's use the herbal logarithm (ln) for this calculation:

ln(20) = ln(1.09)t

Using the logarithmic property, we can go the exponent t in front:

ln(20) = t * ln(1.09)

Now we can remedy for t with the aid of dividing each aspects by using ln(1.09):

t = ln(20) / ln(1.09)

Using a calculator, we discover that t ≈ 19.98 (rounded to two decimal places).

Therefore,

It will take about 19.98 years to attain one million bucks in Jess's financial savings account.

To decide at what age Jess will retire, we add the time it takes to attain one million bucks to her preliminary age of 22:

Age at retirement = 22 + 19.98 ≈ 41.98

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Answer:

48m^2

Step-by-step explanation:

A=LxW=12x4=48

Answer:

Heres the link - https://brainly.com/question/19882225?referrer=searchResults

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

sqrt(2 - 3x)/sqrt(4x) = 2

sqrt(2 - 3x) = 2×sqrt(4x)

now let's just square both sides

2 - 3x = 4×4x = 16x

2 = 19x

x = 2/19

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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A greater distance if it hits any other part of the bat.

When a ball hits the sweet spot of a bat, it will travel a greater distance than if it hits any other part of the bat. This is because the sweet spot is part of the bat where the energy transfer from the bat to the ball is most efficient, resulting in a more powerful hit and greater distance travelled by the ball.

This is because the sweet spot is part of the bat where the energy transfer from the bat to the ball is most efficient, resulting in a more powerful hit and greater distance travelled by the ball.

If the ball hits any other part of the bat, the energy transfer is less efficient, resulting in a less powerful hit and a shorter distance travelled by the ball.

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To improve the experimental design, it would be beneficial to increase the sample size, include a control group, and ensure that all vehicles experience similar conditions of use.

The experimental design mentioned in the question has a few issues. Firstly, the sample size is relatively small, with only 100 Toyota Highlanders fitted with brand A wipers and 100 Chevrolet Equinoxes fitted with brand B wipers. A larger sample size would provide more accurate and reliable results.

Additionally, the experiment lacks a control group. A control group would involve using the same type of wipers on a set of vehicles under normal conditions. By comparing the wear of brand A and brand B wipers to the control group, it would be possible to determine if any wear differences are due to the wipers themselves or other factors.

Furthermore, the experiment does not account for differing conditions of use. It is unclear if both sets of vehicles were subjected to the same driving conditions and weather patterns. These factors could significantly impact the wear and lifespan of the windshield wipers.

In conclusion, to improve the experimental design, it would be beneficial to increase the sample size, include a control group, and ensure that all vehicles experience similar conditions of use.

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Answer:

14.4 dollars

Step-by-step explanation:

the Hat has 20 percent discount

The Hat with discounted price is 18 dollars

the 20% of 18 dollar is 3.6 dollars

hence if we subtract 3.6 dollars from 18 dollars

we get 14.4 dollars as regular price

Answer:

4

Step-by-step explanation:

h(k(3))=\(\sqrt{2(3)+7+3}\)

         =4

In order for a sample of the entire population to be considered representative in public opinion polls, it must correctly and fairly reflect the views of the entire population.

Public opinion surveys are used to collect data and information on the opinions and views of people in a given population. For the results of a survey to be valid and reliable, the sample of people chosen for the survey must be representative of the entire population. This means that the views of those in the sample must accurately and proportionately reflect the views of the whole population.

Public opinion surveys are designed to measure the opinions and views of people in a given population. To ensure the results of the survey are accurate and reliable, the sample of people chosen for the survey must be representative of the entire population. This means that the views of those in the sample must accurately and proportionately reflect the views of the whole population. It is not necessary for the sample to exceed 50% of the targeted population, nor does it need to be based on all registered voters in the population. Therefore, option d. is the correct answer, which states that the sample must be representative in that the views of those in the sample must accurately and proportionately reflect the views of the whole population.

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Approximately 8 years will pass before the $10,000 target is attained. The answer is eight years, rounded up to the next whole number.

To calculate the number of years it will take to reach the $10,000 goal, we can use the future value formula for a series of deposits:

\(\begin{equation}n = \frac{\log\left(\frac{\text{FV}}{\text{PMT}}\right)}{\log\left(1 + r\right)}\end{equation}\)

Where:

n is the number of years

FV is the future value (target amount of $10,000)

PMT is the deposit amount ($1,250)

r is the interest rate per period (7% or 0.07)

Plugging in the values, we have:

\(\begin{equation}n = \log\left(\frac{10000}{1250}\right) \div \log\left(1 + 0.07\right)\)

Calculating the expression:

n ≈ 7.24

Therefore, it will take approximately 8 years to reach the $10,000 goal. Rounding up to the nearest whole number, the answer is 8 years.

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Complete question :

You need to accumulate $10,000. To do so, you plan to make deposits of $1,250 per year - with the first payment being made a year from today - into a bank account that pays 7% annual interest. Your last deposit will be less than $1,250 if less is needed to round out to $10,000. How many take you to reach your $10,000 goal? Do not round intermediate calculations. Round your answer up to the nearest whole number.  year(s)

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer:

26

Step-by-step explanation:

The United States has a population of about 320 million, so if homicides were proportional to Honduras' rate of homicide, we would expect about 12,800 deaths due to homicides in the United States.

This is calculated by taking the population of the United States (320 million) and multiplying it by the Honduras' homicide rate of 40 per 100,000 people.


To calculate this, we first need to find Honduras' homicide rate. The World Bank has this information, which states that the rate is 40 per 100,000 people. We then need to take the population of the United States (320 million) and multiply it by the rate.

This equals 128 million homicides per 100,000 people in the United States. This comes out to 12,800 deaths due to homicides in the United States. Round this to the nearest person, and you get 12,800.

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A. Two-way radio A covers approximately 50 square miles.

B. Two-way radio B covers approximately 78 square kilometers.

C. Since 130 is greater than 78, two-way radio A covers a larger area than two-way radio B.

D. The scale factor relationship between the radio coverages is 4:1

Part A: To find the area covered by two-way radio A, we need to use the formula for the area of a circle: A = \(\Pi r^2\). The radius of the circle is 4 miles, so we can substitute this value into the formula and simplify:

A =\(\Pi r^2\)

A = \(\Pi (4)^2\)

A = 16π

Using 3.14 for π, we can calculate the approximate area covered by two-way radio A:

A ≈ 50.24 square miles

Part B: To find the area covered by two-way radio B, we need to convert the radius from kilometers to miles first. One kilometer is approximately 0.6214 miles, so we can use this conversion factor to convert the radius:

8.05 kilometers x 0.6214 miles/kilometer ≈ 5 miles

Now we can use the same formula for the area of a circle with a radius of 5 miles:

A = πr^2

A = π(5)^2

A = 25π

Using 3.14 for π, we can calculate the approximate area covered by two-way radio B:

A ≈ 78.5 square kilometers

Part C: To compare the area covered by each two-way radio, we need to convert the area covered by two-way radio A from square miles to square kilometers:

50.24 square miles x (1.61 kilometers/mile)^2 ≈ 130 square kilometers

Part D: The scale factor relationship between the radio coverages can be found by dividing the radius of radio B by the radius of radio A:

8.05 kilometers / (1.61 kilometers/mile x 4) miles ≈ 1

This means that the radius of radio B is four times larger than the radius of radio A (since one kilometer is approximately equal to 0.6214 miles). The area covered by radio B is four times greater than the area covered by radio A.

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Answer:

Step 1: Subtract x from both sides.

2x+3−x=x−4−x

x+3=−4

Step 2: Subtract 3 from both sides.

x+3−3=−4−3

x=−7

Answer:

x=−7

Answer:

The minimum would be 4,500, and the maximum would be 4,700.

Step-by-step explanation:

If I am not mistaken, you simply need to add or subtract 100 to find the minimum or maximum, as it stated that 4,600 is an estimate that is valid for a range of 100 (up or down).

Answer:

1,450.36 is your answer

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

\( \longrightarrow \) l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

\( \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft\)

\( \therefore \) Width of the rectangle (w) = 12 ft

False. The statement is not entirely accurate. While significantly different sample variances can impact the assumptions of a t-test, it does not necessarily mean that a t-test cannot be conducted.

In traditional t-tests, there is an assumption of equal variances between the compared groups or populations. This assumption is known as the assumption of homogeneity of variances. If the sample variances are significantly different, it violates this assumption.

However, there are alternative versions of the t-test that can be used when the variances are not equal, such as the Welch's t-test or the modified t-test. These tests do not assume equal variances and can be applied when the variances are significantly different.

Therefore, it is possible to conduct a t-test even when the sample variances are significantly different, using appropriate modifications to the test. However, it is essential to consider the validity and appropriateness of the chosen test based on the specific circumstances and assumptions of the data.

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To find an equation of the plane tangent to the surface 8xy + 5yz + 7xz − 80 = 0 at the point (2, 2, 2), we need to find the gradient vector of the surface at that point.

The gradient vector is given b

grad(f) = (df/dx, df/dy, df/dz)

where f(x, y, z) = 8xy + 5yz + 7xz − 80.

Taking partial derivatives,

df/dx = 8y + 7z

df/dy = 8x + 5z

df/dz = 5y + 7x

Evaluating these at the point (2, 2, 2), we get:

df/dx = 8(2) + 7(2) = 30

df/dy = 8(2) + 5(2) = 26

df/dz = 5(2) + 7(2) = 24

So the gradient vector at the point (2, 2, 2) is:

grad(f)(2, 2, 2) = (30, 26, 24)

This vector is normal to the tangent plane. Therefore, an equation of the tangent plane is given by:

30(x − 2) + 26(y − 2) + 24(z − 2) = 0

Simplifying, we get:

30x + 26y + 24z − 136 = 0

So the equation of the plane to the surface at the point (2, 2, 2) is 30x + 26y + 24z − 136 = 0.

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The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

Answer:

for $5 plan if he rents 47 dvd it will pay 47% as one DVS cost 1 $ .

Step-by-step explanation:

Given:

Option D is the correct answer..

The fact that the sum can be approximated by an integral. we can approximate the sum as the area under the curve y=√x from x=1 to x=10000. This can be written as: ∫1^10000 √x dx

Using integration rules, we can evaluate this integral to get:
(2/3) * (10000^(3/2) - 1^(3/2))
This evaluates to approximately 66663.33. Therefore, an estimate for the sum ∑ i=1 to 10000 √i is 66663.33.

In mathematics, integrals are continuous combinations of numbers used to calculate areas, volumes, and their dimensions. Integration, which is the process of calculating compounds, is one of the two main operations of computation, [a] the other being derivative. Integration was designed as a way to solve math and physics problems like finding the area under a curve or determining velocity. Today, integration is widely used in many fields of science.

To estimate the sum of ∑ from i=1 to 10000 of √i using an integral, we'll approximate the sum with the integral of the function f(x) = √x from 1 to 10000.

The integral can be written as:

∫(from 1 to 10000) √x dx

To solve this integral, we first find the antiderivative of √x:

Antiderivative of √x = (2/3)x^(3/2)

Now, we'll evaluate the antiderivative at limits 1 and 10000:

(2/3)(10000^(3/2)) - (2/3)(1^(3/2))

(2/3)(100000000) - (2/3)

= (200000000/3) - (2/3)

= 199999998/3

Thus, the integral estimate of the sum from i=1 to 10000 of √i is approximately 199999998/3.

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