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

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Related Questions

can u answer this question?

Answers

Step-by-step explanation:

sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.

if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.

really, that is all that is there to it.

so,

|11| = 11

|-12| = 12

no big magic, no mystery, no tricks or formulas to know.

it just is ...

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

Answers

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. What is the probability of event B? 0. 09 0. 20 0. 27 0. 62.

Answers

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

[tex]\mathbf{P(A) = 0.48}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]

To calculate the probability of event B, we make use of the following formula

[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]

So, we have:

[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]

Collect like terms

[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]

[tex]\mathbf{P(B)= 0.62}[/tex]

Hence, the probability of event B is 0.62

Read more about probabilities at:

https://brainly.com/question/11234923

Solve for x.
1/3 x+4=-2/3 x+12

Answers

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

What’s the area of a triangle with sides of 24, 38 and 14

Answers

Area of triangle formula: 1/2 * base * height.

So with the given information it is not possible for me to find the area. Only perimeter is possible.

5 meals cost 20 how much would 15 meals be

Answers

Answer:

15 meals would be $60

Step-by-step explanation:

15 ÷ 5 = 3

1. 5 = 20

2. 5 = 20

3. 5 = 20

15 = 60

Hope this helps! :)

choose the unit that measures distance

A. Feet

B. Pounds

C. Ounces

D. A.M

Answers

Answer:

Feet

Step-by-step explanation:

On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?

Answers

if 18.75 - 3 = 15.75

if every 2 years you get 15.75

if from 2023 to 2031 is 8 years

then 8 divided by 2 = 4

so 15.75 * 4 = 63

then the answer is 63

Which of the x-values are solutions to the following inequality?
X < 365

Answers

a and b because both values are less than 365

1/3x^2 = -3

The solution to the equation is ___?

A) x = 3
B) x = -3
C) x = ±3
D) no solution

Answers

[tex] \frac{1}{3} {x}^{2} = - 3 \\ = > {x}^{2} = - 3 \times 3 \\ = > {x}^{2} = - 9 \\ = > {x} = \sqrt{ - 9} \\ = > x = ±3[/tex]

Answer:

C) x = ±3

Hope you could get an idea from here.

Doubt clarification - use comment section.

Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes

Answers

Functions can be represented on graphs and vice versa.

It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes

The function of the graph is given as:

[tex]y = -0.5x[/tex]

To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.

[tex]y = -0.5\times 4[/tex]

[tex]y = -2[/tex]

The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.

Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]

Read more about graphs and functions at:

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6x+ 14 <--28
AND
3r + 28 < 25

Answers

Answer:

what?

Step-by-step explanation:

Find measure of <1

Answer ASAP!!

Answers

Answer:

105 degrees

Step-by-step explanation:

since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105

Answer:

here

Step-by-step explanation:

60⁰+45⁰+X=180

105⁰+X=180⁰

X=180⁰-105⁰

hence X=75⁰

Now

<1=60⁰+75⁰

=135⁰

Plz mark as brainlist

Thank you ™

where is the √ 125 on a number line​

Answers

Answer:

im 11  and

Step-by-step explanation:

i just need points i have -32

PLEASE ANSWER FAST....Which expressions have a value equal to or greater than 13?

I WILL MARK BRAINLIEST

Answers

Answer: D and B

Step-by-step explanation:

D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.

B: 4 x 13 is simply 52.

Hope this helps!

A. 5/6 x 13 = 10.83

B. 4 x 13 = 52

C. 3/4 x 13 = 9.75

D. 10/10 (1) x 13 = 13

B. 4 x 13 & D. 10/10 (1) x 13 are your answers.

this is the question.



solve (3.4)x(0.2)

Answers

Answer:

0.68

Step-by-step explanation:

Answer:

0.68

Step-by-step explanation:

Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. What is ratio of blondes to total students? Write your answer in simplest form

Answers

Answer:

3:14

Step-by-step explanation:

The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14

(Divide both numbers by 2)

Hope this helps!!

round 6.073 to 2 decimal places​

Answers

Answer:

6.07

Step-by-step explanation:

6.073 rounded to two decimal places is 6.07. Hope this helps.

the answer to the question is 6.07

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).

Answers

The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]

The formula for calculating the volume of a cone is expressed as:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

r is the base radius of the coneh is the height of the cone

The volume of the frustum will be expressed as:

Vf = Volume of the larger cone - Volume of the smaller cone

The volume of the larger cone  = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]

The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]

The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]

Taking the difference in volume:

Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]

Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]

Learn more about volume of frustum here: https://brainly.com/question/1273042

Please help me with the math below

Answers

Answer:

A. $4.25 per 1 kg of spice

B. 60 : 40 = 3 : 2

Step-by-step explanation:

200 g = 0.2 kg (÷100)

unit price formula: cost ÷ quantity

0.85 ÷ 0.2 = 4.25

set a proportion;

60 3

---- = ---

x 2

3÷60 = 0.05 2

2 ÷ 0.05 = 40

x = 40

hope this helps!

Jaiden weighs 120 pounds and is gaining ten pounds each month. Elijah weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Jaiden to weigh the same as Elijah?​

Answers

Answer

It will take 5 months for Jaiden and Elijah to have the same weight

Step-by-step explanation:

120 + 10m = 150 + 4m

6m = 30

m = 5

Will mark BRAINLIEST

Answers

Answer:

the star is quadrant 2

Step-by-step explanation:

Answer:

The purple star

Nolan began a savings account three years ago. He invested $100 at a 2% interest rate according to the equation Vn = 100(1.02)x, where Vn is the value of his account after x years. Anias started an account today. She invested $100 at a 2% interest rate according to the equation Va = 100(1.02)x–3, where Va is the value of her account. Let’s say Anias started saving at the same time Nolan did, three years ago. Approximately how much money would she have had to invest to have the same amount of money she has now?
$5.77
$90.24
$94.23
$106.12

Answers

Answer: 94.23

Step-by-step explanation:

plsssssssss help


joey decided to start a lawn care business. He charges customers $25 per hour, plus a $75 service fee for each visit, which can be represented by the function f(x)=25x+75. In the equation, what is represented by the "x" variable?


Question 15 options:


the total cost for the lawn care visit



the number of hours Joey worked



the amount Joey charges per hour



the fixed fee for the service call

Answers

Answer:

X = The number of hours Joey worked (C)

Step-by-step explanation:

$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.

Which of the following is the correct ratio for Sine?​

Answers

Answer:

Sin = Opp/Hyp

Step-by-step explanation:

Answer:

opposite over hypotenuse

Can i get some help :

Answers

Answer:

the second

Step-by-step explanation:

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Find three consecutive numbers if their sum is 3n.

Answers

Answer:

n-1, n, n+1

Step-by-step explanation:

n - 1    +   n    +   n +1  = 3n

The middle number is n, the first is n-1 and the third is n+1

Based on the information given, the three consecutive numbers will be n-1, n, and n+1.

It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.

In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:

= n - 1 + n + n + 1

= 3n

Learn more about numbers on:

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Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.

Answers

Answer:

  AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

  AC + AB + BD = CD

  2AC +80 = 170

  AC = 110/2 = 55

The measure of arc AC is 55°.

Answer:

AC = 55°

Step-by-step explanation:

because the measure is part of CD. Hope this helps!

i need help with this like... now besties

if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?

Answers

Step-by-step explanation:

it represents a point on the line defined by the function equation.

it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


Identify the missing angle measure in a right triangle where one angle measures 12°.
168°
78°
Cannot be determined
88°

Answers

Answer:

78

Step-by-step explanation:

180-90-12=78

90 + 12 + missing angle = 180

102 + missing angle = 180

Missing angle = 180 - 102

Missing angle = 78

Hope this helps!
Brainliest is much appreciated!
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