When Theo was born his uncle put $1000 in a college savings account for him, at 4%
interest
- Develop a function to show the amount in the savings account after x years
- How much money will be in the account when Theo is 18 and ready for college?

Answers

Answer 1

Answer:

A= P(1+r)^x

$2025

Step-by-step explanation:

Given data

Principal=  $1000

Rate= 4%

1. - Develop a function to show the amount in the savings account after x years

Time= x years

The function is

A= P(1+r)^x

2.  How much money will be in the account when Theo is 18 and ready for college?

Time= 18 years

A= 1000(1+0.04)^18

A=1000(1.04)^18

A=1000*2.025

A=$2025


Related Questions

Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school
Take the bus
Walk
Sophomore
N
25
3
Junior
13
20
N
Senior
25
5
5
P(Walk to school | Senior ) = [?]
Round in the

Answers

Answer: 0.14

Step-by-step explanation

The required conditional probability would be 0.71.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The conditional probability is defined as:

P(A|B) = P(A∩B)/P(B)

From the given two-way table, we get

Drive to school and senior = 25

Senior = 25+5+5

= 35

Total = 2+25+3+13+20+2+25+5+5

= 100

Now,

P( Drive to School and Senior) = 25 / 100

P( Senior) = 35/ 100

Thus,

P( Drive to School | Senior) = 25 / 35 = 0.71

Therefore, the required conditional probability would be 0.71.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

The table shows morgan’s tips from five customers that he served at the Pizza Palace. What percent of these customers left more than a 15% tip? (i really need help PLEASE)

Answers

Answer:

2 people left more than 15%.

Ejercicio1:
Una tienda automotriz coloca los precios de los autos sin incluir el IGV. Si en un modelo de auto se indica 15000 dólares. ¿Cuál es el precio del auto incluido el IGV de 18%?
ayuda porfa

Answers

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT =  15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set

Answers

Answer:

Extrapolation, because a key that is 12 keys from middle c is outside the data set.

Step-by-step explanation:

Given

See attachment for the data set

Required

Which option answers the question

From the attached dataset, we can see that 12 is not within the range of the data set.

When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.

Hence, (d) is correct

Answer:

d

Step-by-step explanation:

trust me

Define Sustainable development.​

Answers

Answer:

economic development that is conducted without depletion of natural resources.

Step-by-step explanation:

The surface area of a three-dimensional object is:


A. The total length of its edges incorrect answer

B. The area of one of its faces incorrect answer

C. The total area of its outer surface incorrect answer

D. The amount of space inside

Answers

Answer:

c

Step-by-step explanation:

The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3 dimensional object

for example, the total surface area of a cube is the sum of the area of all the six faces

the total surface area of a cube = 6a²

where a = edge

if a = 6

total surface area

6(6²) = 216

PLSSSSS HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

y-intercept is (0,5)

Step-by-step explanation:

When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.

For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).

But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)

2. The pitcher had 1 quarts of water. After Lena poured some of the water into
a bowl, the pitcher had') quart of water left How much water was poured in
the bowl?

Answers

1 quart of water in the bowl

Find the volume of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

87.9

Step-by-step explanation:

I searched it up

.....................

Answers

Answer:

3  3.14  [tex]\pi[/tex]  3.142  22/7

The price of an item has been reduced by 20%. The original price was $20. What is the price of the item now?

Answers

Answer:

what type of work is this?

Una familia buscá una vivienda valorizado en 200000 mil soles. Para lo cual buscan su financiamiento atravesó de 3 bancos, las cuales proponen las condiciones que se muestran en la tabla

Answers

Answer:

Banco A o banco B

Step-by-step explanation:

Question:

La tabla obtenida de una pregunta similar en el sitio se presenta a continuación;

[tex]\left |\begin{array}{ccccc}Entidad \ bancaria&Cuota \ inicial&Tasa \ de \ interes \ anual &\mid &Tiempo \ anos \\Banco \ "A"&10\%&15\%&\mid&20\\Banco \ "B"&20\%&13\%&\mid &25\\Banco \ "C"&0\%&10\%&\mid&30\end{array}\right |[/tex]

¿Qué banco es el más conveniente para financiar la vivienda familiar?

Para el banco A, tenemos;

El pago inicial = 10/100 × 200,000 = 20,000

El interés = 180.000 × 15 × 20/100 = 540.000

Importe total, A = 540.000 + 20.000 = 560.000

Para el banco B, tenemos;

El pago inicial = 20/100 × 200,000 = 40,000

El interés = 160.000 × 13 × 25/100 = 520.000

Importe total, B = 520.000 + 40.000 = 560.000

Para el banco C, tenemos;

El pago inicial = 0/100 × 200,000 = 0

El interés = 200.000 × 10 × 30/100 = 600.000

Monto total, C = 600,000 + 00 = 600,000

Por lo tanto, la familia debe seleccionar el banco A o el banco B que tenga el monto total de reembolso más bajo

- 7th Grade work -

Pls just say if it's a, b, c, or d.

Answers

Answer:

We first need to solve the inequality so,

3 > j/-3 - 7

+7         +7

10 > j/-3

x-3    x-3

-30 > j

D is your answer.

It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.

Find the amount of time. I=$70, P=$350, r=4%

Answers

Answer:

5years

Step-by-step explanation:

I=70

P=350

R=4

I=PRT/100

➜PRT=100 I

➜T=100 I/PR

➜100×70/350×4

➜7000/1400

➜5years

PLEASE HELLPPPP!!!!!

Answers

Answer:

25

Step-by-step explanation:

if X = 4 then you would do

4(4) + 9

since 4 x 4 is 16

add that by 9

16 + 9 = 25

so the value of 4x + 9 = 25

Hope this helps

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x≥−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+3/ −3 ≤1

Step 1: Simplify both sides of the inequality.

−2/ 3 x−1≤1

Step 2: Add 1 to both sides.

−2/ 3 x−1+1≤1+1

−2/ 3 x≤2

Step 3: Multiply both sides by 3/(-2).

( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)

x≥−3

Answer:

x≥−3

HELP DUE IN 5 MINUTES
Explain how you use a net to find the surface area of a prism. ​

Answers

Answer:

how to use a nurse to do find of surface prism is that you want to Play-Doh lens height and width

Step-by-step explanation:

Solve the problem.
The locations, given in polar coordinates, of two ships are (7 mi, 44°) and (8 mi, 104°). Find the
distance between the two ships.
A=3601 mi
B=10.63 mi
C=7.55 mi
D=4.00 mi

Answers

Answer is the B Sure let’s gooo

HElP PLS I WILL DO ANYTHING BUT HELP

Answers

Answer:

1/32

Step-by-step explanation:

There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.

1/8 * 1/4 = 1/32 chance of landing on green and then blue.

PLEASE HELP THIS IS OVERDUE!!

Answers

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

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

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

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

Which equations represent exponential growth?

Which equations represent exponential decay?



Drag the choices into the boxes to complete the table.

Exponential Growth Exponential Decay

Answers

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.

Answers

Answer:

B

Step-by-step explanation:

Mrk me BRAINLIEST PLZZZZZZZZ

Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the nearest hundredth

Answers

Answer:

314.16

Step-by-step explanation:

Area=πr2

d=2r

Solving for Area

A=1

4πd2=1

4·π·202≈314.15927

Does the tallest can always hold the greatest volume? Explain your answer!

Answers

Alrighty, so,  you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.

If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.

The tallest container holds the most liquid. Identical containers can have a different capacity.

Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 ​ of his daily goal, on the second day he met \frac{4}{5} 5 4 ​ of his daily goal, and on the third day he only met \frac{1}{4} 4 1 ​ of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work. ​

Answers

Answer:

Step-by-step explanation:

Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 ​ of his daily goal, on the second day he met \frac{4}{5} 5 4 ​ of his daily goal, and on the third day he only met \frac{1}{4} 4 1 ​ of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.

A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.

Answers

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, [tex]\overline x[/tex] = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

We get;

[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

A cyclist cycles a distance of 60 miles in a time of 6 hours.
What is her average speed?

Answers

The answer is 10 miles per hour

Answer: 10 mph

Step-by-step explanation:

In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively, what is the distance travelled by the ray?

Answers

Answer:10

Step-by-step explanation:24-6-8=10

The distance travelled by the ray will be 26 inches. Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.

If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.

Then the distance travelled by the ray will be

We know the formula

D² = L² + W² + H²

We have

L = 24 in

W = 6 in

H = 8 in

Then the distance will be

D² = 24² + 6² + 8²

D² = 576 + 36 + 64

D² = 676

D = 26 in

Thus, the correct option is B.

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ2

Please answer the following question:

Answers

Answer:

99 cm²

Step-by-step explanation:

1/2 BH

1/2 18 x 11

9 x 11

99

Question 8 of 10
In a normal distribution, what percentage of the data falls within 3 standard
deviations of the mean?
O A. 34%
O B. 68%
O c. 99.7%
O D. 95%

Answers

Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:

c. 99.7%.

What does the Empirical Rule state?

It 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.

Hence, option C is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Other Questions
If a particular ore contains 56.3 % % calcium phosphate, what minimum mass of the ore must be processed to obtain 1.00 kg k g of phosphorus? A soccer team consists of a minimum of 13 players. True or false ? 1. What is the kinetic energy of a cow that has a mass of 1500 kg and is moving at 4meters per second? HELP PLEASE ILL MARK BRAINLIEST Help me plss I will give u anything but pls help me 1. State four spheres that influence the moral education. (-2)(-2)(-2)(-2) in exponential form I don't understand with the question number 4, does anybody understand how to do it? How does a parallel circuit change when a branch is added?The total resistance increases, so the current in the circuit decreases.The total resistance decreases, so the current in the circuit increases.The total resistance increases, so bulbs shine at a lower brightness.The total resistance decreases, so bulbs shine at a higher brightne True or False. In a federal government state power is shared, giving much authority to individual provinces and local governments Following _______ & _________ makes life disciplined. What is an access review? Decide if you would use a conjugation of ser or estar for the underlined word.I am from Cuba. serestar Which of the following is the best description of the purpose of an essential question?to help guide your exploration of your research topicto tell the teacher what topic you will be writing aboutto make it easier to organize your paragraphsto aid you in finding information in the libraryI wil give branest to the first one h(-3), h(5), h(2), h(0)h(x) = {x+1, x2Solve these:h(-3) =h(5) =h(2) =h(0) = What are the types of sculptures found in nepal?Give one examples of each? How could you prevent the French/Indian War the school was closed.........strike.(because of /in spite of/because/although) 15wanted to know whether the eating behavior of goldfish is affected by music. He set up a fish tank. Every day played music for the fish and measured how much fish ate. What is missing from this experiment?A. a control groupsB. a measurable resultC. different types of fishD. an outcome variable (dependent variable) Please help answer ASAP!!!!!