In 2023 the college tuition at a state university was $8,000. Each year the tuition

rises by 3%. In what year will the tuition reach $10,000?

Answers

Answer 1

By using the concept of interest, we can calculate the year in which the tuition will reach $10,000 as 2027

Interest is the extra money you pay for borrowing money or for an investment, and it accumulates over time.

In this case, the interest rate is 3%, so the total tuition increases by 3% each year. To calculate the year in which tuition will reach $10,000, we will need to use the following formula:

Interest = (principal × rate × time) / 100.

The principal is $8,000, the rate is 3%, and the time is the number of years it takes for the tuition to reach $10,000. Thus, the equation becomes:

Interest = (8000 × 0.03 × time) / 100.

We can solve for time by multiplying both sides of the equation by 100 and dividing by 240. This gives us the following result:

Time = ($10,000 - $8,000) / (0.03 × $8,000) = 4.17 years.

Therefore, the tuition will reach $10,000 in

(2023 + 4.17) = 2027

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Related Questions

Who likes math?AAAAAAAAA

Answers

Answer:is this a literal question?

Step-by-step explanation:

if so than it depends on the subject for me

How do I simplify my fraction??

Answers

Answer:

By cutting it for example:

Step-by-step explanation:

10/2 ,you can cut 10 from the multiplication table of 2 and the answer is 5.

Solve please for one two three and four please

Answers

Answers.
1) 60 - this is an alternate interior angle to given 60* so it’s congruent, or the same, so it is also 60.

2) 30 - the given 60* and 2 make a right angle of 90*, so 90 - 60 = 30. It is also an alternate interior angle with given angle of 30, so it is congruent and also 30.

3) 30 - the triangle sum is 180, The interior angle at the bisect is 90, and the given angle of 60. 180 -90 -60 = 30

4) 60 - right angle sum of 3 and 4 is 90. 90 - 30 of angle 3 = 60

Explanation
Rectangle angle rules

All the interior angles of a rectangle add up to 360°.
Each interior angle is equal to 90 degrees.
The diagonals bisect each other.

y=e[tex]e=^{x-4}[/tex]

Answers

The inverse of the function [tex]y=e^{x-4}[/tex] is obtained as y = log (x) + 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function is given as - [tex]y=e^{x-4}[/tex]

A function g is the inverse of the function f if for y = f(x) and x = g(y).

[tex]y=e^{x-4}[/tex]

Replace x with y.

[tex]x=e^{y-4}[/tex]

Now solve for y -

y = log (x) + 4

Therefore, the inverse is y = log (x) + 4.

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Find the inverse of [tex]y=e^{x-4}[/tex].

Find the area of the triangle.

Answers

Answer: 7.5

Step-by-step explanation:

AREA OF TRIANGLE is (Base times Height) divided by two

SO,

2.5x6=15

15/2=7.5

BTW, I am on the same level- (level F) as you on Iready

What is the conversion of 39 degrees c to f ?

Answers

The  converted value from Celsius to Fahrenheit is given by 39 Celsius is equal to 102.2 Fahrenheit.

Units represents the measure of the temperature in standard form Celsius and Fahrenheit .

Formula relates the Celsius and Fahrenheit are equal to

(°C × 9/5) + 32 =°F

Now, Substitute the value 39 Celsius which required to convert  into Fahrenheit we have,

(39°C × 9/5) + 32

= ( 351 / 5 ) + 32

= ( 70.2 ) + 32

= 102.2°F

Therefore, the converted value from Celsius to Fahrenheit for the given 39 Celsius is given by 102.2 Fahrenheit.

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The above question is incomplete, the complete question is:

What is the conversion of 39 degrees Celsius to °F ?

60 cars embedded in 40,000 poundf of conrtet. How many ton of pounds are in 40,000 pounds

Answers

Answer:

20 tons

Step-by-step explanation:

To convert pounds to tons, we need to divide the number of pounds by the number of pounds in a ton.

There are 2,000 pounds in one ton.

To convert 40,000 pounds to tons, we divide 40,000 by 2,000:

40,000 pounds / 2,000 pounds/ton = 20 tons

Therefore, 40,000 pounds is equivalent to 20 tons.

Suppose that when your friend was​ born, your​ friend's parents deposited ​$7000 in an account paying ​6.1% interest compounded quarterly. What will the account balance be after 15 ​years?

Answers

The account balance after 15 years will be $17,945.90.

the probability of getting a single pair in a poker hand of 5 cardsis approximately 0:42. find the approximate probability that out of 1000 pokerhands there will be at least 450 with a single pair.

Answers

The approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035

How to find the approximate probability ?

This is a binomial distribution problem with n = 1000 and p = 0.42. Let X be the number of poker hands with a single pair out of 1000 poker hands.

To find the probability that there are at least 450 poker hands with a single pair, we need to calculate P(X ≥ 450).

Using the normal approximation to the binomial distribution, we have:

μ = np = 1000 × 0.42 = 420

σ = √(np(1-p)) = √(1000 × 0.42 × 0.58) ≈ 16.08

Using the continuity correction, we can approximate P(X ≥ 450) as P(Z ≥ (449.5 - 420)/16.08) where Z is the standard normal distribution.

P(Z ≥ (449.5 - 420)/16.08) = P(Z ≥ 1.814) ≈ 0.035

Therefore, the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035.

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Helen ran 12 miles. She ran 5 miles each hour.
True or False:
The equation 12h = 5 can be used to find h, the number hours that it took Helen to
complete her run.

Answers

Answer:

False, it took her 2 hours and 24 minutes

Step-by-step explanation:

The equation 12h = 5 is not correct because it would mean that Helen completed her run in 5 hours, which is not possible since she only ran 12 miles.

To find the correct number of hours, we can use the formula:

Distance = rate x time

Where distance is the total distance Helen ran (12 miles), rate is her speed (5 miles per hour), and time is the number of hours it took her to run.

We can rearrange the formula to solve for time:

Time = distance / rate

Plugging in the values we have:

Time = 12 miles / 5 miles per hour

Simplifying, we get:

Time = 2.4 hours

Therefore, it took Helen 2.4 hours (or 2 hours and 24 minutes) to complete her run.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

Use series to evaluate the limit. Lim x→0 1 3 x3 − 1 2 x2 x − ln(1 x) x4

Answers

By using Taylor series, the limit does not exist, since the third term does not converge as x approaches 0.

To evaluate the limit using series, we can use the Taylor series expansion of each term in the limit as x approaches 0. A Taylor series is an infinite sum of terms that are expressed in terms of the derivatives of a function at a single point.

Starting with the first term:

lim x→0 (1/3) * x^3 = 0

Next, for the second term, we have:

lim x→0 ((x^3 - 1)/(2x^2)) = lim x→0 (x^3/2x^2) = lim x→0 (x/2) = 0

For the third term, we have:

lim x→0 (x - ln(1 + x))/x^4

= lim x→0 [(x - (x - x^2/2 + x^3/3 - ...))/x^4] (using the Taylor series expansion of ln(1+x))

= lim x→0 [x^2/2 - x^3/3 + ...]/x^4

= lim x→0 [1/2x^2 - 1/3x^3 + ...]

= ∞

Therefore, the limit does not exist, since the third term does not converge as x approaches 0.

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the probability that a continuous random variable equals any of its values is

Answers

the probability that a continuous random variable equals any of its values is Zero.

This problem, we have been asked what is the probability of a continuous random variable being equal to any of its values, so the answer will be 0. The probability that a continuous random variable equals any of its values will be 0 point now.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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Complete Question

The probability that a continuous random variable equals any of its value is?

Given 1 ||
m
||n, find the value of x.
(2x-8)
60°

Answers

The value of x if lines m and n are parallel is 64 degrees

How to determine the value of x

The missing information to answer this complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Lines m and n are parallel lines

This means that

2x - 8 + 60 = 180 ---- by angles on a straight line theorem

Collect the like terms

2x = 180 - 60 + 8

Evaluate the like terms

2x = 128

Divide by 2

x = 64

Hence, the value of x is 64 degrees

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The diameter of a circle is 8 m. Find its circumference in terms of iπ.

Answers

25.13 is the circumference in terms of itt

c=25.1327

Step-by-step explanation:

c=2pir

r=1/2 d

r=4

2pi*4= 25.1327

Wich number is greater and by how much
600 or 600 decreased by 20% then increased by 20% of the result.
PLS HELP LOL

Answers

To calculate the value of "600 decreased by 20%", we can multiply 600 by 0.8:

600 × 0.8 = 480

To calculate "600 decreased by 20% and then increased by 20% of the result", we need to multiply 480 by 1.2:

480 × 1.2 = 576

Therefore, 600 decreased by 20% and then increased by 20% of the result is 576.

To find out which number is greater and by how much, we can subtract 576 from 600:

600 - 576 = 24

So, 600 is greater than 600 decreased by 20% and then increased by 20% of the result, by 24.

Does this graph represent a function?Explain

Answers

Check the picture below.

Una clínica realiza un análisis de colesterol en hombres mayores a 60 años, y luego de varios años de investigación, concluye que la distribución de lecturas sigue una distribución normal, con media de 225mg/dl y una desviación estándar de 20mg/dl.


a) ¿Qué porcentaje de esta población tienen lecturas mayores a 245mg/dl de colesterol?


b) ¿Qué porcentaje tiene lecturas inferiores a 195,25mg/dl?

Answers

a) Podemos calcular el valor z-score correspondiente a un valor de 245mg/dl utilizando la fórmula:

z = (x - μ) / σ

donde x es el valor en cuestión, μ es la media y σ es la desviación estándar. Así:

z = (245 - 225) / 20
z = 1

Luego, podemos usar una tabla de distribución normal estándar para encontrar el porcentaje correspondiente a un valor de z=1. Este valor es aproximadamente 0.1587, lo que significa que alrededor del 15.87% de los hombres mayores de 60 años en esta población tienen lecturas de colesterol mayores a 245mg/dl.

b) Podemos calcular el valor z-score correspondiente a un valor de 195.25mg/dl utilizando la misma fórmula:

z = (x - μ) / σ

z = (195.25 - 225) / 20
z = -1.4875

Luego, podemos usar la tabla de distribución normal estándar para encontrar el porcentaje correspondiente a un valor de z=-1.4875. Este valor es aproximadamente 0.0681, lo que significa que alrededor del 6.81% de los hombres mayores de 60 años en esta población tienen lecturas de colesterol inferiores a 195.25mg/dl.

there is one line on the graph and it is asking for a solution how do i find it?

Answers

You can you rise over run
For example you see how many it goes up or how many goes down let’s say it is (3,?)
But we need to find other one which is for example (3,4) so then the rise goes up by 3 in this case (6,4) and then you add the run which would be (6,8) so I hope you get the idea

If it helps could I get Brainliest

The temperature (in degrees Celsius of)Delhi during a particular Fortnight in the month of June is given below 38,40,42,43,45,39,40,37,38,41,44,44,40,42,40 rearrange the data in descending order and find the range

Answers

Answer:

Arranging the temperature data in descending order, we get:

45, 44, 44, 43, 42, 42, 41, 40, 40, 40, 39, 38, 38, 37, 36

The range of a set of data is the difference between the highest and lowest values.

Here, the highest temperature is 45°C and the lowest temperature is 36°C. Therefore, the range is:

Range = highest value - lowest value = 45°C - 36°C = 9°C

So the range of the temperature data is 9°C.

What will be the class interval of a data set with 30 elements

Answers

The class interval of a data set with 30 elements is 5.

The range of a data set is the difference between the largest and smallest values in the set. Once the range is calculated, the class interval can then be calculated by dividing the range by the number of elements in the set.

In the case of a data set with 30 elements, the class interval can be calculated by dividing the range of the data set by 30. This will tell us the size of the intervals that the data is divided into.

If the range of the data is 150, the class interval would be 150/30, which is equal to 5. Therefore, the class interval of the data set would be 5.

It is important to note that the class interval should be chosen so that it is not too small or too large. If the class interval is too small, the data may become too granular, making it difficult to interpret. If the class interval is too large, important details about the data may be lost

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Which is the graph of f(x) = 1/4(4)×?

Answers

heres a photo of the graph to that equation

what is an acre in feet

Answers

An acre is a unit of measurement used to quantify land area, and it is commonly used in the United States to measure the size of plots of land, farms, and estates. One acre is equal to 43,560 square feet.

To visualize an acre, imagine a rectangle that is approximately 208 feet by 209 feet, or a square that is approximately 209 feet on each side.

To convert acres to square feet, you can use the following formula:

1 acre = 43,560 square feet

Therefore, to convert acres to feet, you can simply multiply the acre value by 43,560. For example, if you want to convert 5 acres to square feet, you can use the following formula:

5 acres x 43,560 square feet per acre = 217,800 square feet

So 5 acres is equal to 217,800 square feet.

It's worth noting that the acre is a unit of measurement used primarily in the United States, and other countries may use different units of measurement to quantify land area. For example, in the metric system, the hectare is commonly used to measure land area, with 1 hectare equal to 10,000 square meters (about 2.47 acres).

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A regulation NBA basketball has a radius of 4.7 inches. Find the surface area of the ball in terms of pi.

Answers

The surface area of the NBA basketball in terms of π is 87.96π square inches.

What is surface area ?

Surface area is the measure of the total area that the surface of an object occupies. It is a two-dimensional measure of the exposed area of an object, and is typically expressed in square units, such as square inches, square feet, or square meters.

The surface area of an object can be calculated by adding up the areas of all of its individual faces and sides. The exact method for calculating surface area depends on the shape and dimensions of the object in question. For example, the surface area of a cube can be found by multiplying the area of one face of the cube by six, while the surface area of a sphere can be calculated using the formula 4πr².

Surface area is an important concept in mathematics, and has many practical applications in fields such as architecture, engineering, and physics. For example, in architecture, surface area is used to calculate the amount of materials needed to construct a building, while in physics, surface area plays a role in determining heat transfer and other physical properties of objects.

The surface area of a sphere can be calculated using the formula:

Surface Area = 4πr²

where r is the radius of the sphere.

In this case, the radius of the NBA basketball is 4.7 inches. So, we can substitute r = 4.7 into the formula to get:

Surface Area = 4π(4.7)²

Surface Area = 4π(22.09)

Surface Area = 87.96π

Therefore, the surface area of the NBA basketball in terms of π is 87.96π square inches.

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For a project in her Geometry class, Chloe uses a mirror on the ground to measure the height of her school’s flagpole. She walks a distance of 8.85 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.1 meters to the other side of the mirror, until she can see the top of the flagpole clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.15 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.

Answers

The height of the flagpole is approximately 10.05 meters.

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to measurements of angles and distances.

We want to find the height h of the flagpole. We can use similar triangles to set up an equation involving the distances and heights in the diagram. In particular, we have two similar triangles: one formed by the mirror, Chloe's eyes, and the top of the flagpole, and another formed by the mirror, Chloe's feet, and the bottom of the flagpole. These triangles are similar because they have the same angles (due to the reflection in the mirror) and share one angle (the one formed by Chloe's eyes, the mirror, and the flagpole). Therefore, we can set up the following proportion:

h / (d + 1.15) = h / 1.1

where d is the distance from the mirror to the base of the flagpole. Solving for h, we get:

h = (1.1 / (d + 1.15)) * h

Cross-multiplying, we get:

h * (d + 1.15) = 1.1 * h

Simplifying, we get:

d = (1.1 / h) - 1.15

Now we can use the distance of 8.85 meters to set up another proportion involving the similar triangles:

h / d = (h + 1.15 + 1.1) / 8.85

where h + 1.15 + 1.1 is the total height of the triangle formed by the mirror, Chloe's eyes, and the top of the flagpole. Solving for h, we get:

h = (8.85 * d) / (d + 2.25)

Substituting the expression for d that we found earlier, we get:

h = (8.85 * ((1.1 / h) - 1.15)) / (((1.1 / h) - 1.15) + 2.25)

Simplifying and solving for h, we get:

h ≈ 10.05 meters

Therefore, the height of the flagpole is approximately 10.05 meters.

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Answer:

The answer is 92.25. Not the first answer from the guy that answered "10.05"

Step-by-step explanation:

These are the photos of the DeltaMath I worked and I decided to put this photo as an evidence that I didn't stole and a much clearly explanation for some people that doesn't understand well!!^^

How do you convert cm into mL?

Answers

Answer:divideing by the whole number

Step-by-step explanation:

Federico makes 60% of the free throw shots he takes in basketball. Federico is fouled, and he is in a one-and-one shooting situation meaning that he only gets a second free throw shot if he makes his first one. Each free throw shot is worth one point. What is the probability that Federico scores one point in this situation?

Answers

Based on the question given, the probability that Federico scores one point in this situation is 0.24, or 24%

Calculating the Probability of Scoring One Point in a One-and-One Free Throw Situation in Basketball

Since Federico makes 60% of his free throws, the probability that he makes his first free throw is 0.6. If he makes his first free throw, he will get a second free throw, and the probability that he makes his second free throw is also 0.6.

If he misses his first free throw, he will not get a second free throw, and he will score zero points in this situation.

So, to find the probability that Federico scores one point in this situation, we need to find the probability that he makes his first free throw and misses his second free throw:

P(score 1 point) = P(makes 1st free throw) * P(misses 2nd free throw)

= 0.6 * (1 - 0.6) [since the probability of missing a free throw is 1 minus the probability of making it]

= 0.6 * 0.4

= 0.24

Therefore, the probability that Federico scores one point in this situation is 0.24, or 24%

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Solve and choose the answer written in simplest form 1over 6 1 over 2/3

Answers

In the simplest form, we can write the expression as -

y = [tex]$\frac{2}{15}[/tex].

What is algebraic expressions?

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

4x + 5z

Given is the mathematical statement as -

"one over six one over 2/3"

We can write the given mathematical statement in the simplest form as follows. We can write the expression as -

y = [tex]$\frac{1}{6\frac{1}{(\frac{2}{3}) } }[/tex]

y = [tex]$\frac{1}{6\frac{3}{2} }[/tex]

y = [tex]$\frac{1}{\frac{15}{2} }[/tex]

y = [tex]$\frac{2}{15}[/tex]

Therefore, in the simplest form, we can write the expression as -

y = [tex]$\frac{2}{15}[/tex].

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1.

Enter the answer and also provide a 1 sentence explanation that describes how you determined your answer.

Answers

The length of JI is equal to 6 cm (i.e., JI = 6 cm) since J is the midpoint of line segment KI.

Describe Line Segment?

In geometry, a line segment is a part of a line that has two endpoints. It is a straight path that connects two points, and it is the shortest distance between those two points. A line segment is named by its two endpoints, and the symbol “‾‾” is placed over the two endpoints to denote that it is a line segment.

Line segments can be measured, and their lengths can be calculated by using the distance formula, which is based on the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane is given by:

[tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Line segments are important in many areas of geometry and mathematics. They are used to define shapes and figures, to measure distances, and to calculate areas and volumes. In trigonometry, line segments are used to define angles, and they are also used to calculate the length of sides in right triangles.

Line segments can be compared and classified based on their lengths. A line segment that has the same length as another line segment is said to be congruent to it. Line segments can also be classified as equal (having the same length), longer or shorter than others, and parallel or intersecting.

By definition, the midpoint of a line segment divides the line segment into two equal parts. Since J is the midpoint of KI, it means that KJ is equal in length to JI, and therefore JI is also 6 cm.

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Marika is training for a track race. She starts by sprinting 100 yards. She
gradually increases her distance, adding 4 yards a day for 21 days.
the explicit formula that models this situation is an = 100 + (n - 14.
how far does she sprint on day 21?
a. 200 yards
b. 184 yards
c. 180 yards
d. 221 yards

Answers

The total distance that she sprint on day 21 is option (c) 180 yards

To solve the problem, we need to use the explicit formula for an arithmetic sequence, which is:

an = a1 + (n - 1) × d

where:

an is the nth term of the sequence

a1 is the first term of the sequence

n is the number of the term we want to find

d is the common difference between consecutive terms

To find out how far Marika sprints on day 21, we can substitute n = 21 into the explicit formula:

an = 100 + (n - 1) × 4

a21 = 100 + (21 - 1) × 4

a21 = 100 + 20 × 4

a21 = 100 + 80

a21 = 180 yards

Therefore, the correction option is (c) 180 yards

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You deposit $600 in an account earning 7% coumpound interest for 2 years. Find the future value and the interest earned for each of the following compounding frequencies. Use the Bankers' Rule for daily compounding.

Answers

Answer: in two years you'll have 686.94

Other Questions
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