Diana received an inheritance of $3500 and plans to place all the money in a savings account that pays 3% compounded quarterly. How much money will be in the account in 10 years ?

Answers

Answer 1

Answer:

$36,050

Step-by-step explanation:

If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?

3% can also be turned in 3 divided by 100, I will be using that in my explanation.

3 divided by 100 : 0.03

you then multiply 0.03 by 3500 and you will get 105.

3% of the $3,500 is $105

$3,500 plus $105 is $3,605

You then have to multiply that answer by 10(years)

$3,605 times 10 is $36,050


Related Questions

Please help meee I wanna get out of this class already

Answers

Answer:

The answer is D.

Answer:

a

Step-by-step explanation:

g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability that there are 2 black balls and 2 white balls in the sample if .50 Each ball is replaced before the next one is drawn (sampling with replacement). .624 Each ball is not replaced (sampling without replacement)

Answers

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Sampling with replacement:

I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]

We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so [tex]N = 200[/tex]

Sample of 4, so [tex]n = 4[/tex]

50 are black, so [tex]k = 50[/tex]

We want P(X = 2).

[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Here are several function rules. Calculate the output for each rule when you use -6 as the input.

Answers

Answer:

1. -13

2. 36

3. -2

4. -.5

5. -6x

6. -216cm

Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.

Answers

Answer:

Step-by-step explanation:

Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.

Angle GEB is a right angle by given.

Angle DFC is a right angle by given.

The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.

The two triangles are similar by  angle-angle-angle.

For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3

Answers

It’s B you would multiply

f(x) = 200(1
Bhhhhhhhhhhh

Answers

Answer:

hgyt67rdjhhrgytr7ugjv. hgehalk4

Step-by-step explanation:

Lisa was hiking Death Valley and began at the elevation of 300 feet. She hiked down 450 feet. At what elevation did she end her hike

Answers

750 feet plz give brainlest answer

A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.

What is the least number of tables needed to seat the group?

Answers

Answer:

6 1/18 table or technically 7 since 3 tables are for the girls and 3 for the boys then one extra table for the last boy.

Step-by-step explanation:

but if you had to choose one then it would be 7

Answer:

Step-by-step explanation:

6.16 because if you add the total number of students and then divide it by 6 you get 6.166666666666667 so the answer is 6.16 mark brainliest please if the answer is correct just need two more to have five

y = -2x in standard form

Answers

The answer would be 2x+y=0

Hope this helps

Have a great day/night

Feel free to ask any questions

Answer:

2x+y=0

Step-by-step explanation:

HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)

Answers

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

precalc! 50 points! please someone help me i’ll do anything for you

Answers

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

An economist wants to predict the Gini of the US by Year. Select the answer choice that correctly interprets R-Squared. Group of answer choices 0.451751 is the proportion of variability of Gini Coefficient unexplained by our least squares line. 0.451751 is the proportion of variability of Years explained by our least squares line. 0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines 0.451751 is the proportion of variability of Years unexplained by our least squares line.

Answers

Answer:

0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines

Step-by-step explanation:

Given

[tex]R\ squared = 0.451751[/tex]

To predict: Gini by year

Required

Interpret the R squared

In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.

In this question, the variable to predict is Gini:

From the list of options, (c) is correct

Evaluate 2a + 4b
If a=10 and b=6

Answers

Answer:

44

Step-by-step explanation:

2a     +  4b                a= 10    &     b=6

2(10) +  4(6)

20    +   24

44

The perimeter of a square painting is 340 centimeters. How long is each side?

Answers

Answer:

90

Step-by-step explanation:

the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90

Write the explicit formula for the sequence. 27,18,12,8

Answers

Answer:

a(n) = 27*(2/3)^(n - 1)

Step-by-step explanation:

The first four terms are 27, 18, 12, 8.

Find the common ratio:

To do this, let that ratio = r, and write and solve 27r = 18.  Thus, r = 2/3.

The general explicit formula for this sequence is

a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)

Your job in a company is to fill quart size bottles of oil from a full 150- gallon oil tank. Then you are to pack 24 quarts of oil in a case to ship to a store. How many full cases of oil can you get from a full 150- gallon oil tank?

Answers

Answer:

25

Step-by-step explanation:

I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25

150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts

The concept used to solve the problem is conversion:

The conversion factor that 1 gallon is equal to 4 quarts.

Given that,

Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.

Packaging: Pack 24 quarts of oil in a case to ship to a store.

Tank Capacity: The oil tank is full and has a capacity of 150 gallons.

Convert the measurements to a common unit.

Since we have to fill quart-size bottles,

Convert 150 gallons to quarts.

Since 1 gallon is = 4 quarts,

So 150 gallons would be 150 x 4 = 600 quarts.

To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.

To find the number of cases,

Divide the total number of quarts by the number of quarts per case:

600 quarts ÷ 24 quarts/case

= 25 cases.

Therefore,

You can get 25 full cases of oil from a full 150-gallon oil tank.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ4

URGENT Q: A bicycle company produces y bicycles at a cost represented by the polynomial y² + 10y + 100,000. The revenue for y bicycles is represented by 2y^2 + 10y + 500. Find a polynomial that represents the company's profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?

Answers

Answer:

The company should not make 300 bicycles.

Step-by-step explanation:

Mathematically speaking, profit ([tex]P(y)[/tex]) equals the difference between revenue ([tex]R(y)[/tex]) and cost ([tex]C(y)[/tex]). That is:

[tex]P(y) = R(y) - C(y)[/tex] (1)

If we know that [tex]R(y) = 2\cdot y^{2}+10\cdot y + 500[/tex] and [tex]C(y) = y^{2}+10\cdot y+100000[/tex], then the profit function is:

[tex]P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000[/tex]

[tex]P(y) = y^{2}-99500[/tex] (2)

The company can make the required amount of bicycles if and only if [tex]P(y) > 0[/tex]. If [tex]y = 300[/tex], then the profit of company is:

[tex]P(300) = 300^{2}-99500[/tex]

[tex]P(300) = -9500[/tex]

The company should not make 300 bicycles.

Researchers are studying the relationship between the median salary of a police officer in a city and the number of violent crimes per 1,000 people. The researchers collected the police officers' median salary and the number of violent crimes per 1,000 people in 87 cities. After analyzing the data, researchers found that a city with a greater police officers' median salary tends to have a greater number of violent crimes per 1,000 people.

The variables
(select)
.

The greater police officers' median salary corresponds to a
(select)
number of violent crimes per 1,000 people, so there is a
(select)
correlation.

Causation is
(select)
but it is unknown which variable causes the other. A greater median salary of police officers could cause a greater number of violent crimes per 1,000 people or a greater number of violent crimes per 1,000 people could cause a greater median salary of police officers. It is also possible that another factor causes a greater median salary and a greater number of violent crimes per 1,000 people.

Answers

Answer:

i jke it way fi naby qheisghb hjnssg ubg. jgb

PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

Answers

Answer:

First question: Choice A

second question:Choice D

Third question: Choice c

Fourth question: Choise b

5th Question: choice b

5. Which ordered pair could be added to the
relation below to ensure it continues to be a
function?
(-7, 9), (4, -1), (0, 5), (-2,-2)
A. (4,-4)
B. (5,0)
C. (0, -3)
D. (-7, -1)

Answers

B. Because the inputs will not repeat

I’m really having trouble on this, can anyone help?

Answers

Answer:

the first box is proportional but the second is not

thus; y is (4/3)x for the first illustration

HELP NOW PLEASE!!!!! I will give 100 points to whoever will answer this question first

Answers

Answer:

D : 10 feet

Step-by-step explanation:

Hello I think I can help with this.

Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.

So the formula for area is known as (L x W x H)

or (length x width x height)

Lets see what we are given.

We are given the length which is 12

We are also given the width which is 4 1/2

And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.

12 multiplied by 4 1/2

=

54

Alright so now we know the base of this rectangular prism is 54 ft²

Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.

NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.

So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :

10 feet

I hope this helps you understand this a bit better!

If you are confused or have any concerns / questions feel free to comment or message me :)

Answer:

Height = 540/(4.5*12) = 10 feet

Step-by-step explanation:

Which of the following polynomials does not have real roots?

A. 12x² - 17x - 7

B. x² + x - 2

C. x² + x + 2

D. x² + 5x + 6

Please help!!!​

Answers

Answer:

b

Step-by-step explanation:

Imagine that you have 1 dollar, 2 quarters, 3 nickels and 5 pennies in your wallet. What percent of a dollar do you have in your wallet?

Answers

$1 + $0.50 + $0.15 + $0.05
= $1.70 = 1.7 percent

Answer:

Step-by-step explanation:

%/100=1+2(.25)+3(.05)+5(.01)

%/100=1.7

170%

find the area of the composite figure.​

Answers

Answer:

24

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

what do when you have 187,599742 and you have to take away 7937

Answers

Answer:

187,591,805

Step-by-step explanation:

187,599,742 - 7937 = 187,591,805

HTH :)

Selena has been practicing archery at camp. In her first 20 attempts, she hut the target 12 times. Assume her success rate is the same in her next 100 attempts, how many times will she hit her target in 45 attempts​

Answers

Answer:

22-23 I believe

sorry if it's wrong

Can someone help me some of my answer are Incorect thank you

Answers

Answer:

just to help you i dont know the answers but you should hide the link because everyone can  find your location

Find the Area: 13 in | 4 in 7 in 24 in​

Answers

Answer:

242 inches²

Step-by-step explanation:

area = (1/2) · (p + q) · h (trapezoid formula)

(1/2)(13+24)(4)= 74

area= bh (rectangle)

(24)(7)= 168

168+74= 242

a snail on her trip from a pumpkin patch to a strawberry field. one hour and 36 minutes later a turtles leaves the pumpkin patch for the strawberry field and arrives at the same time as the snail the distance between the pumpkin patch and the strawberry field is 52m find the speed of the snail if it is 32 meters per hour less than the speed of the turtle.

Answers

Answer:

20 mph

Step-by-step explanation:

anyway this was my equation

8/15+52/x=52/x-96

x=156, convert that into hours, which is 2.6, 52/x, which is speed for snail is = 20

I know you're in RSM because I am too. If you need help, asking your teacher is better because they will explain it better.

The speed of the snail is 20 meter per hour

Speed

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance/ time

Let a represent the speed of the the turtle and b the speed of the snail. Hence:

b = a - 32   (1)

Also:

b = 52 / t

t = 52/b

a = 52 / (t + 1.6)

a(t + 1.6) = 52

t = (52 + 1.6a) / a

52/b = 52/a + 1.6

a = 52 meter per hour, b = 20 meter per hour

The speed of the snail is 20 meter per hour

Find out more on Speed at: https://brainly.com/question/4931057

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