Mathematics High School

A=6,500(1.0175)^4t

How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!​

A=6,500(1.0175)^4tHow Long Would The Person Need To Leave Their Money In The Bank Until It Reaches $20,100?

Answers

Answer 1

The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

[tex]A=6500(1.0175)^{4t}\\[/tex]

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Learn more on compound interest here: https://brainly.com/question/24274034

Related Questions

Select all relations that represent function

Answers

Answer:

The last three are all functions.

The first one is not because by defenition of function, an x value cannot have two y values.

The second one is because a function f(x) is the same thing as y

The third one is because x value does not repeat, and that is all that matters.

The fourth one is a function too since x values do not have two y values

i need help on this assignment

Answers

Answer:

the answer is 10

Step-by-step explanation:

by the why want to be friends??

Answer:

10

Step-by-step explanation:

The first and second terms of an arithmetic sequence are 50 and 100, respectively.
The first and second terms of a geometric sequence are also 50 and 100,
respectively. The sum of the third terms of these two sequences is???

Answers

arithmetic sequence is a constant addition where geometric is a constant multiplication so the third in arithmetic is 150, whereas the geometric third is 200 because 50 = 100 • x and “x” is 2 so it’s 150 + 200 = 350!

−4x + 3y =7
5x − 2y =35
What is the solution?

Answers

Answer:   x = 39/10     y = 29/5

Answer:

(17,25)

Step-by-step explanation:

To find the solution to the system, solve with elimination.

Equation 1.

−4x + 3y =7

Equation 2.

5x − 2y =35

To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.

2(−4x + 3y =7)

-8x+6y=14

3(5x − 2y =35)

15x-6y=105

Combine both equations.

-8x+6y=14

15x-6y=105

7x=119

x= 17

Plug in x into the first equation to solve for y.

-8x+6y=14

-8(17)+6y=14

-136+6y=14

6y=150

y=25

If a = 5, b = 2, c = 4, then 6ab - 2c =

628
52
2
60

Answers

Answer:

52

Step-by-step explanation:

Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

Answer: 52 because if you Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

like ponitail151 said.

Solve the following equations. 2x - 7 = 11
help me please it's urgent​

Answers

Answer:

X=9

Step-by-step explanation:

2x-7=11

Add 7 each side

2x - 7 +7 =11 + 7

2x=18

Divide by 2 each side

2x/2=18/2

x=9

Answer:

x = 9

Step-by-step explanation:

2x - 7 = 11

Add 7 to both sides: 2x = 18

Divide by 2: x = 9

When looking at a graph, explain how you would know two variables were not proportional.

Answers

Answer:

a straight line that does not go through the origin.

If you can buy four bulbs of elephant garlic for $8 how many can you buy with $32?

Answers

Answer:

16

Step-by-step explanation:

16

Step-by-step explanation:

32 ÷ 8 = 4

4 × 4 = 16

[tex] \\ [/tex]

KemberlyJ

Help figure this out quick!

Answers

The answer is:

12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.

If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.​

Answers

Prime Factorization method:

Given that √2 = 1.414

The value of (1/2)√(16200)

16200 can be written as

16200 = 2×8100

16200 = 2×2×4050

16200 = 2×2×2×2025

16200 = 2×2×2×5×405

16200 = 2×2×2×5×5×81

16200 = 2×2×2×5×5×3×27

16200 = 2×2×2×5×5×3×3×9

16200 = 2×2×2×5×5×3×3×3×3

√16200 = √(2×2×2×5×5×3×3×3×3)

√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)

√16200 = 2×5×3×3√2

√16200 = 90√2

Now,

(1/2)√16200

⇛(1/2)×90√2

⇛90√2/2

⇛45√2

⇛45×1.414

⇛63.63

Answer: Hence, value of (1/2)√(16200) is 63.63

also read similar questions: if √2=1.414 and√3=1.732,find the value of 1/√2+√3..

https://brainly.com/question/12837303?referrer

If √2 = 1.414 then the value of 5+√2 / 5-√2 is..

https://brainly.com/question/25047005?referrer

The value of 1/2√16200 given the value of √2 = 1.414 is 63.63

How to use prime factorization to solve square root

Prime factorization of √16200

= 3 × 3 × 5 × √2

= 90√2

Given:

√2 = 1.414

1/2√16200

= 1/2 × 90√2

= 90√2 / 2

= 45√2

= 45 × √2

= 45 × 1.414

= 63.63

Therefore, the value of 1/2√16200 is 63.63

Learn more about prime factorization:

https://brainly.com/question/9523814

HELPP EASY MATH FOR Y GUYS IM 5 GRADE

Answers

Answer:

Step-by-step explanation:

for number 8.) 14+8b
for number 9.) 9r-45

How many feet does each student climb after 10 steps?

Answers

The answer I think should be 15 hope this helps

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

How do I use Pythagorean Theorem to find out if a triangle has a right angle

Answers

In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.


It takes 5 minutes to fill an empty aquarium to a depth of
5/8
meters. What is the unit rate in minutes per meter?

Answers

Answer:

1/8 meters per minute

Step-by-step explanation:

5/8 ÷ 5

I hope this helps!!

create a equation to solve for the mid segment with bases x-6 and 2x-9

Answers

Answer:

Step-by-step explanation:

If AD=DB  and  AE=EC,

then DE¯¯¯¯¯∥BC¯¯¯¯¯ and DE=12BC .

Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.

Answers

The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.

A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.

Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is  non random and biased.

Learn more: https://brainly.com/question/24842573

Answer:

its nonrandom and biased

Step-by-step explanation:

so you don't have to read the other guys answer

heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(

Tell whether the given value is a solution of the inequality 5+j>8.

Answers

Answer:

j>3

Step-by-step explanation:

hope this helps sorry if it doesn't have a great rest of your night :)❤

J>3 have a great day

Which is equivalent to 243 Superscript two-fifths?

3
6
9
12

Answers

Answer:

The answer is 9 ( C on edge)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

C on edge

I took the test

solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0

Answers

[tex] \: \: \: \: \: [/tex]

[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]

refer to the attachmenthope it helps

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer should be A......

please help thx

calculate the value of x

calculate the value of y

calculate the value of z

Answers

X = twenty five because 2x+18 = 3x-7

which mapping diagram does NOT represent a function from x > y ?

Answers

Answer:

A

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

PLEASE HELP!! question in picture

Answers

Answer:

you speak English or Espanol? I dont wanna answeri with the wrong language

(-5) - (+2) + (+2) - (-5)​

Answers

Answer:

the answer will zero for sure

Answer:

0

Step-by-step explanation:

-+ = --- = ++- = -++ = +

-5-2+2+5 = 0

You want to determine which cellphone provider would give you the best service. is it Experimental vs. Observational

Answers

It is Observational because you aren’t doing a specific experiment

How do you solve : 3x^4 - 11x^3 -x^2 + 19x + 6

You can't use long division in this equation.

Answers

Step-by-step explanation:

This is a polynomial so we can use rational roots Theorem to solve the equation.

The rational roots simply states that the roots of a polynomial, in the form of

[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]

The possible roots of the polynomial are the factors of

p/r.

We say r^0 to represent the constant and p to represent the leading coeffceint.

So the rational roots states the possible roots of a polynomial is

the factors of leading coeffceint/ the factors of the constant.

In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.

The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are

positive or negative (1,1/2, 1/3,1/6, 3, 3/2).

Now, we see which of the following roots will that the polynomial, P will equal zero.

It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.

So our factored version of the polynomial is

[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]

Now can we continue and factor the right side of the factors.

3 also works so x-3 is a factor as well so

[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]

Now factor the quadratic using factoring by grouping

[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]

So our factor are

[tex](3x + 1)(x - 2)[/tex]

So in conclusion our factors are

[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]

And our x values are -1/3, 2, -1, and 3.

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.

Answers

Using it's formula, it is found that the mean of the data set is of 4.1 shirts.

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7

Hence:

[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]

The mean of the data set is of 4.1 shirts.

For more on the mean of a data-set, you can check https://brainly.com/question/24628525

What is the range of the relation?







Question 9 options:



{–4, –2,–1, 2}




{–4, 4}




{–3, –2, 0, 2}




{–4, –2, –1, 0, –2}

Answers

Step-by-step explanation:

the range of a relation or function is the interval or set of valid result values (y values).

in contrast to the domain, which is the interval or set of valid x values.

so, as y values we have here

-3, -2, 0, 2

so, the third answer option is correct.

$2,000 loan at 8% for 5 years.

Answers

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Yeahhh what they said ^^^^

HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.

Answers

Answer:

It will take at least 45 cars

Step-by-step explanation:

so to start subtract 240 from 600

you get 360 then divide 8

this leaves you with 45

Other Questions
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height In what practical way did war bonds benefit citizens who purchased them? The military did not draft anyone who bought bonds. Bond purchasers did not have to ration as much as others. Bonds helped many business owners make higher profits. The government repaid bond purchasers with interest. There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets? Your school made it to the playoffsin football and is selling t-shirts toCelebrate their success for $10 each. The costto make the shirts is 5 each plus a onetime set ur fee of $20. Find the value of two numbers if their sum is 147 and their difference is 51No links An equation of a line is y = 3x -7. What would the SLOPE of a line parallel to this equation be? Arrange the following steps in an appropriate order for program execution: - Step A: translates the source code into the target machine code - Step B: preprocesses the source code - Step C: writes the source code - Step D: links object code to other library filesWhich one is correct:A) D, C, B, AB) C, A, D, BC) A, B, C, DD) C, B, A, D 3-star1%5.0/52-star1%2 reviewsThis or that?Which UNESCO site is locatedin the southern hemisphere?ORLos Glaciares National ParkEllora Caves2 of 10 Define quadrilateral triangle ? Give two examples Free Response QuestionA. Identify the major religion and the ethnicity in the documentary Fordson: Faith, Fastingand Football. (4 pts)B. Describe the town of Dearborn, Michigan. (4 pts)C. Explain the migration process and patterns that brought many Muslims to Dearborn,Michigan and the economic impact Arabs have on the community. (6 pts)D. Explain how the culture of the Muslim residents of Dearborn diffused with the existingAmerican culture. (4 pts)E. Define Ramadan. (2 pts)F. Explain how Ramadan affected the football team and players at Dearborn Fordson HighSchool. (4 pts)G. Explain how religion and ethnicity are both a centripetal and a centrifugal force inDearborn, Michigan. (4 pts)H. Compare the similarities and differences of Dearborn Fordson High School with NaplesHigh School. (Hint: be sure to make geographic connections in your response) (4 pts) Select the correct answer from each drop-down menu. If the firm is at point D and decides to increase the production of bike tires by 300 units, the opportunity cost will be truck tires. If the firm is at point B and decides to increase the production of truck tires by 400 units, the opportunity cost will be bike tires. Define Sad? And give some examples explain how atoms and molecules are important for life processes is walking at a constant speed of 2.5 miles per hour. How far can she walk in 8 hours? Complete the table and plot the points to solve. En que pais se encuentra la mayor diferencia entre mortalidad y natalidad? Pls help Ill brainlest ASAP and add extra points Im failing How does Python recognize a tuple? You use tuple when you create it, as in "myTuple = tuple(3, 5)". You use brackets around the data values. You use parentheses around the data values. You declare myTuple to be a tuple, as in "myTuple = new tuple" Eli won 2 out of 3 chess games on day. At this rate, if he played 35 games, how many did he win? Write and solve a proportion : Discuss how a Medical Assistant could assist the patient who is complaining of chest pain while getting an EKG ordered by the physician to be done before the patient is fully examined. The distance between a 16 foot tall flagpole and a 40 foot tall tree is equal to the sum of the lengths of their shadows. If the flagpole casts a 18 foot shadow, find the distance from the flagpole to the tree.