Raul deposited $3000 into a bank account that earned simple interest each year. After 3.5 years, he had earned $262.50 in interest. No money was deposited into or withdrawn from the account.

What was the annual interest rate?

Enter your answer in the box.

Answers

Answer 1

Answer:

The annual interest rate is 0.018, or 1.8%.

Step-by-step explanation:

Let r be the annual interest rate, t be the number of years the money was in the account, and I be the amount of interest earned. Since the interest is simple interest, the amount of interest earned is given by the formula I = Prt, where P is the principal, or initial amount deposited. In this case, we know that P = $3000, t = 3.5 years, and I = $262.50. Substituting these values into the formula, we get:

262.50 = 3000r * 3.5

r = 0.018

Thus, the annual interest rate is 0.018, or 1.8%.


Related Questions

Factorize:
x^4 - (x-z)^4

Answers

=(2x2 −2xz+z ^2 )(2x−z)(z)

thanks for helping me!

Answers

Answer:

<E=180-60=120

t=60 degrees

u=8

consider joining our discørd server for additional geometry help; we have an active amazon gc giveaway rn as well! code: RPEdT3erFm :)

E=180-60=130
T= 60
So U=8

f(x)=2x^2
g(x)=x+1
prove fg(x)=gf(x)

Answers

Answer:

here is the answer with proper steps.

What is the equation of the linear function in point-slope form that passes through (6, 5) and has a slope of?
y-5=(x-6)
x-6=1/(x-5)

Answers

Answer:

y – 5 = m(x – 6)

Step-by-step explanation:

using y =mx +c as our guide line

Step 1 : identification of coordinates

(6,5) ;x1= 6,y1 = 5

step 2 : applying the formula

y – y1 = m(x – x1)

y – 5 = m(x – 6)

(3x)°
(6x-12)
(2x+13)° find the value of x

Answers

Answer:

x = 25

Step-by-step explanation:

The two interior angles equal the exterior angle.

6x - 12 = 3x + 2x + 13  Combine like terms

6x - 12 = 5x + 13  Subtract 5x from both sides of the equation

6x -5x - 12= 5x - 5x + 13

x - 12 = 13  Add 12 to both sides of the equation

x - 12 + 12 = 13 + 12

x = 25

solve each equation by completing the square
[tex]x^{2} -34x+289=0[/tex]
After completing the square, the equation is ____ and the solution is _________
WHOEVER ANSWERS CORRECTLY WILL BE MARKED BRAINLIEST

Answers

Answer:

x = 17

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

Complete the square as follows:

x² - 34x + 289 = 0x² - 2*17*x + 17² = 0                      Identity  (a ± b)² = a² ± 2ab + b²(x - 17)² = 0x - 17 = 0                                       Square root both sidesx = 17

Angles 2 and 8 are what type of angles?

A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles

Help!!!

Answers

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are angles that are outside two lines intersected by the transversal and are located on opposite sides of the transversal. Also, they have the same degree! So, the answer is B.

You just signed a 2 years lease for a one bedroom apartment in Brooklyn. The rent is $2,657 per month pulse $200 security deposit. Thinking long-term, you are wondering if it is better to rent or own a property. How will the total amount of rent you pay change over time?

Answers

After the end of the lease period the pay, the rent would increase to $3030.83 approx.

What is a Lease agreement?

A lease is a legal agreement by which the owner of a building, a piece of land, or something such as a car allows someone else to use it for a period of time in return for money.

Given here,  a 2-year lease is - $2,657 per month plus a $200 security deposit. Now, the average increase in the rate in the U.S is 14.07%

thus, at the end of the two-year lease period, the new rent would be

= (1+14.07/100) × $2,657

= $3030.83

Hence, the new rent with a security deposit is $3030.83 + security deposit.

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Store A sells a dozen donuts in packages as a BOGO, with the regular price of dozen at $6.35. Store B offers a dozen donuts without a special for $3.35. Store C offers a dozen and a half at a price of $6.50. Store D gives you a 25% discount if you buy 2 at a price of $3.70 each. Which is the better buy?

Answers

Store D provides the best value, with the lowest price per donut at $0.24.

To determine which store has the best deal, you should compare the price per donut at each store.

At Store A, the BOGO offer means that you can buy one dozen donuts for the regular price of $6.35 and get a second dozen for free. This means that you are paying $6.35 for 2 dozen donuts, or $0.27 per donut.

At Store B, a dozen donuts cost $3.35, or $0.28 per donut.

At Store C, a dozen and a half donuts cost $6.50, or $0.26 per donut.

At Store D, if you buy 2 dozen donuts at $3.70 each and receive a 25% discount, you will pay $3.70 × 2 × (1 - 0.25) = $5.77 for 2 dozen donuts, or $0.24 per donut.

Thus, based on these prices, Store D is the best deal, as it has the lowest price per donut at $0.24.

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Each year the value of a car decreases by 12% of its value at the beginning of that year. The original value of the car is $20000. Calculate the value of the car at the end of 3 years

Answers

Answer:

The value of the car at the end of 3 years will be $13707.

Step-by-step explanation:

If the original value of the car is $20000, then after the first year, the value of the car will be $20000 - (12/100)*$20000 = $17600.

After the second year, the value of the car will be $17600 - (12/100)*$17600 = $15552.

After the third year, the value of the car will be $15552 - (12/100)*$15552 = $13707.

Therefore, the value of the car at the end of 3 years will be $13707.

During one winter snow storm in Denver, Colorado, Jesse noted that 6 inches of snow fell in 2
1/3 hours. What was the rate of snowfall in one hour?

Answers

Answer:

2 4/7 inches per hour

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

Given:

6 inches of snow fell in 2 1/3 hours.

Divide the number of inches by the time to get the rate of snowfall:

6 ÷ 2 1/3 = 6 ÷ 7/3 =                  6 × 3/7 =                   18/7 = 2 4/7 inches

Frank drove 567 miles in 9 hours. At the same rate, how long would it take him to drive 441 miles?

Answers

To determine how long it would take Frank to drive 441 miles at the same rate, we can divide the distance by the rate to find the time. The rate is equal to the distance divided by the time, so we can find it by dividing the distance Frank traveled by the time it took him to travel that distance.

In this case, the distance Frank traveled is 567 miles and the time it took him to travel that distance is 9 hours, so the rate is 567 miles / 9 hours = 63 miles per hour.

To find the time it would take Frank to travel 441 miles at this rate, we can divide the distance by the rate. This would give us 441 miles / 63 miles per hour = <<441/63=7>>7 hours.

Therefore, if Frank were to travel 441 miles at the same rate as his previous trip, it would take him 7 hours.

FILL IN THE BLANK. the _______ _______ is a statement we are trying to find evidence to support.

Answers

Answer:

Alternative Hypothesis

Elie built a large rectangular vegetable garden that i 9 meter long and ha an area of 72 quare meter. What i the perimeter of Elie’ vegetable garden

Answers

Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

Moussa is younger than Sophia. Their ages are consecutive even integers. Find Moussa's age if the product of their ages is 24.

Answers

Moussa's age if the product of their ages is 24 is 4 years.

How to calculate their age?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Moussa is younger than Sophia. Their ages are consecutive even integers.

Let the ages be x and x + 2.

This will be illustrated as:

x(x + 2) = 24

x² + 2x = 24

x² + 2x - 24 = 0

x² + 6x - 4x - 24 = 0

x(x + 6) -4(x + 6) = 0

x - 4 = 0

x = 4

x + 2 = 4 + 2 = 6

The ages are 4 and 6 years.

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If the product of Sophia age and Moussa age is 24, the age of Moussa is 4 years.

How to find the Moussa's age?

Moussa is younger than Sophia.  Their ages are consecutive even integers.

The product of there ages is 24. Moussa's age can be found as follows:

Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.

Hence,

Let

x = age of Moussa

x + 2 = age of Sophia

Hence, the product of their age will be as follows:

x(x + 2) = 24

x² + 2x = 24

x² + 2x - 24 = 0

lets factorise the quadratic equation. The numbers one can multiply to get -24 and add to get 2 are -4 and 6. Therefore,

x² - 4x + 6x - 24 = 0

x(x - 4) + 6(x - 4) = 0

(x + 6)(x - 4) = 0

Therefore,

x = - 6 and x = 4

We can only use positive numbers.

Therefore, the age of Moussa is 4 years

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Ma Amati’s bought x number of shirts for the new members of the dance team. The total amount paid for x shirts, including $2.99 shipping, was $118.99. Each shirt cost $14.50. There was no sales tax on this purchase. Which equation could be used to find x, the number of shirts bought

Answers

Answer: y = 14.50x + 2.99

Step-by-step explanation:

The equation is y = mx + b

y is the total cost and x is the number of shirt

We know each shirt is $14.50, and she bought x shirts, so 14.50 is the slope

The 2.99 shipping fee is the y-intercept

So our equation is

y = 14.50x + 2.99

(x + 2)(x+4)²
———————
(x+4)

Answers

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

for the denominator we have (x + 2)(x + 4)(x + 4).

divide the denominator by (x + 4), you would be left with (x + 2)(x + 4).

What is the first quartile of the given data set?

Answers

The value of first quartile of the given data set is 2.5

What is first quartile?

The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.

Given is a data set,

According to the data,

The lower quartile is between 0 and 2.5, which under 25% of the data.

Hence, The value of first quartile of the given data set is 2.5

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g you would like to obtain a 90% confidence interval with margin of error 0.02, what is the minimum sample size you need?

Answers

I would like to construct a 95% confidence interval with a 4% margin of error. We don't have an estimate for the percentage, so we use a conservative estimate.

This is the minimum sample size, so we need to round up to 601. The larger the sample, the more confident the responses truly represent the population.

This shows that for a given confidence level, the confidence interval gets smaller as the sample size increases. At least 1450 samples from each group are required.

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HELP QUICK!!

An item on sale costs 35% of the original price. If the original price was $60, what is the sale price?

Answers

0.35 * 60 = 21, therefore $21


When dealing with percentages they are numerators (?wc) of 100, so 0.35 = 35/100.
In percentage calculations you want to make the original/starting value equivalent to the 100 denominator
35/100 * 6000/100
This sum is the same as the first line… sorry if this is more confusing ;-;
TL;DR: take the percentage as 0.XX and times by original value if going lower in value. If your going higher do 1.XX

your sample consists of 87 subjects, with 71 successes. calculate the test statistic, rounded to 2 decimal places

Answers

sample consists of 87 subjects, with 71 successes.the test statistic, rounded to 2 decimal places ,Test statistic = (71/87) = 0.81

To calculate the test statistic, you need to divide the number of successes by the total number of subjects in the sample.

In this case, the number of successes is 71 and the total number of subjects is 87.

Therefore, the test statistic is calculated a

s 71/87 = 0.81

which can be rounded to two decimal places. The result of the calculation is that the test statistic is 0.81.

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use the graphs of f and g to graph h(x) = (f + g)(x). (graph segments with closed endpoints.)

Answers

Different x values must be taken into account in order to graph h (x). So the graph of the h(x) is given below.

In the given question, we use the graphs of f and g to graph h(x) = (f + g)(x).

A diagram that compares the fluctuation of one variable to that of one or more other variables, such as a collection of points, lines, line segments, curves, or regions.

The graph is given below:

h (x) = (f + g) (x)

The function h(x) can be written as

h (x) = f (x) + g (x)

Different x values must be taken into account in order to graph h (x).

h (0) = f (0) + g (0) = 2 - 1 = 1

h (1) = f (1) + g (1) = 3 + 0 = 3

h (2) = f (2) + g (2) = 1 + 0.5 = 1.5

h (3) = f (3) + g (3) = 2 + 0 = 2

So the graph of the h(x) is given below:

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Help asp thank you show your work if you want

Answers

Answer:

[tex]y=-\frac{2}{3}x+1[/tex]

Step-by-step explanation:

Parallel means same slope.

[tex]y=-\frac{2}{3}x+b[/tex]

[tex]5=-\frac{2}{3} (-6)+b[/tex]

5 = 4 + b

b = 1

[tex]y=-\frac{2}{3}x+1[/tex]

here is a famous problem: nn guests arrive at a party. each person is wearing a hat. we collect all hats and then randomly redistribute the hats, giving each person one of the nn hats randomly. what is the probability that at least one person receives his/her own hat?hint: use the inclusion-exclusion principle.

Answers

The probability that at least one person receives his/her own hat is 1 - (1/n)^n, using the inclusion-exclusion principle.

The inclusion-exclusion principle states that the probability of event A or B occurring is equal to the probability of event A plus the probability of event B minus the probability of event A and B occurring. In this case, the probability of at least one person receiving his/her own hat is the probability of one person receiving his/her own hat plus the probability of two people receiving their own hats minus the probability of three people receiving their own hats, and so on. This can be expressed mathematically as 1 - (1/n)^n, where n is the number of guests. This formula can be applied to any situation where a random event is being repeated multiple times with the same set of outcomes.1 - (1/10)^10 = 0.99.

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PLEASE HELP I AM SO BEHIND ON SCHOOL WORK !!!
Which equation represents the same line as the points in the table?

y=−3x+2y is equal to negative 3 x plus 2

y=−34x+83y is equal to negative 3 fourths x plus 8 thirds

y=2x−34y is equal to 2 x minus 3 fourths

y=−34x+2

Answers

Answer:

Use this site, it will help you in the long run.

if it is not possible to obtain a list of all elements in a population, this is a; group of answer choices infinte population sample finite population statistic

Answers

if it is not possible to obtain a list of all elements in a population, this is a; group of answer choices  finite population statistic

It is also known as the group of the study, that targets the population, which helps to find the survey, which is the sampled population. It is measured by an ideal world, which will be the same, and they're always unique.  

Its sampling distribution of the "x bar" should also be naturally independent of the random sample, that is usually distributed.

We consider the population as endless if the sampling size is at least 20 times greater than the sample size.

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At a school there are six lessons in a day.
In total, the six lessons last for 4 hours.
a) Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Optional working

Answers

Answer:

40mins

Step-by-step explanation:

4hrsx60

=240mins

240mins/6 lessons

=40mins per lesson

Help me quickly please! (I will mark brainliest)

Answers

The graphs in this problem that show continuous data are given as follows:

Top right.Bottom left.

What are continuous and discrete graphs?

Continuous and discrete graphs have different formats to show the data, which are presented as follows:

For a continuous data, the data shown is all the real numbers in an interval, hence a continuous graph is represented by solid lines. This means that the second and third graphs in this problem, that is, the top right and the bottom left graphs represent continuous data.

For discrete data, only certain values are represented in an interval, hence the graph of discrete data is composed only by dots, which is the case for the first and last graphs in this problem, that is, the top left graph and the bottom right graph.

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The tatue i 4. 6 meter high. The angle of elevation from the oppoite corner of the courtyard to the top of the tatue i 8

Answers

The statue is 4. 6 meter high. The angle of elevation from the opposite corner of the courtyard to the top of the statue is 8,Tan 8 = 4.6/opposite and opposite = 4.6/tan 8 = 5.8 meters

First, we calculate the opposite side of the triangle using the tangent function. To do this, we need to use the angle of elevation (8 degrees) and the height of the statue (4.6 meters). We use the tangent function to calculate this, which is written as:

tan 8 = 4.6/opposite

Solving for the opposite, we get:

opposite = 4.6/tan 8 = 5.8 meters

This means that the opposite corner of the courtyard to the top of the statue is 5.8 meters away.

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PLEASE HELP!!!!! 90 POINTS!!!!!

Graph the following system of equations.

2x + 4y = 8
2x + 6y = 18

What is the solution to the system?

There is no solution.
There is one unique solution, (−6, 5).
There is one unique solution, (−4, 4).
There are infinitely many solutions.

Answers

Answer:

There is one unique solution, (−6, 5).

Step-by-step explanation:

2x + 4y = 8

2x + 6y = 18

2x + 4y = 8  ==> solve for 2x

2x + 4y - 4y = 8 - 4y

2x = 8 - 4y

2x + 6y = 18  ==> solve for 2x

2x + 6y - 6y = 18 - 6y

2x = 18 - 6y

8 - 4y = 18 - 6y  ==> 2x = 8 - 4y   and   2x = 18 - 6y

8 - 4y + 6y = 18 - 6y + 6y  ==> solve for y by first adding 6y on both sides to

                                                remove negative y

8 + 2y = 18  ==> simplify

8 - 8 + 2y = 18 - 8  ==> isolate y

2y = 10

y = 5

2x + 4(5) = 8  ==> substitute 5 for y in 2x + 4y = 8

2x + 20 = 8

2x - 20 + 20 = 8 - 20  ==> subtract 20 on both sides to isolate 2x

2x = -12

x = -6

x = -6, y = 5  ==> (6, 5)

Answer: There is one unique solution, (−6, 5).

Answer is in the graph, there is one unique solution (-6, 5)

The question asks you to graph and find the solution. I graphed this and attached it.

The solution is where the lines intersect, at (-6, 5)

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