A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?

Answers

Answer 1

Answer:

6.58 years

Step-by-step explanation:

Step one:

Given data

Principal=$9500

rate= 5%= 0.05

Final amount= $13200

Required:

The time t

Step two

The expression for the compound interest is

[tex]A= p(1+r)^t[/tex]

t = ln(A/P) / r.

substitute

t = ln(13200/9500) /0.05

t= ln(1.39)/0.05

t=0.329/0.05

t=6.58 years

Answer 2

Answer:

6.7

Step-by-step explanation:


Related Questions

Please help ASAP thank you

Answers

Answer:

Scalene, Acute

Step-by-step explanation:

scalene because the sides are of different length, and acute because it's less than 90°

in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e. which of the following must be true?
A. e ll g B. h ll g C.g ll h D. e ll h​

Answers

Answer:

It's A

Step-by-step explanation:

Line e parallel to line g. Therefore, option A is the correct answer.

What are parallel lines?

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that, in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e.

Since, e║f, f║g

So, e║g

Therefore, option A is the correct answer.

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Help me plzzzz!!!!!

Answers

Store A is cheaper than B
The way to solve is pretty simple for B.
You have to divide the cost by the number of tubes.
So in this case:
9/3=3
15/5=3
21/7=3
See the pattern?
So the cost per lip gloss is $3.
Now for Store A:
Just divide 5.50/2
The answer is 2.75
Compare both numbers


2.75<3.00
So, store A is cheaper.

In 2010, there were approximately 6 million girls living in Orange City. In 2011, the population was down to 4 million girls. How many girls lived in Orange City in 2011 in comparison to 2010? Write your answer in scientific notation.

Answers

Answer:2010 +2011+2010=6021

6+4 =11

Step-by-step explanation:add then you divide

In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.

Answers

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

p = x / n

p = 91/110

p = 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= p - Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

what is the equation for the line that passes through the point (3,7) and has a slope of 2?

Answers

Answer:

y=3/7x+2

Step-by-step explanation:

can i have brainliest?


A package of 12
pens costs $3.84.
What is the cost
per pen?

Answers

An

IT WOULD BE 50 CENTS PER PEN

Step-by-step explanation:

HELP MEH PLEASE TwT I WILL GIVE BRAINLIEST TO FIRST PERSON WITH
RIGHT ANSWER

Answers

Answer:

a

Step-by-step explanation:

because its parallel while d is perpendicular and b and c are diagonal

2c = 14 equals what?

Answers

Answer:

7

Step-by-step explanation:

2c/2 = 14/2

c = 7

What is the measure of the angle?​

Answers

The angle is a 90 degree angle.

Answer:

80degrees

Step-by-step explanation:

5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP

Answers

Answer:

[tex] 1.6 \times 10^8[/tex]

Step-by-step explanation:

[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]

Which graph shape represents the polar curve r = 1 + 4sin(θ)?
a cardioid
a rose curve
a limaçon with an inner loop
a limaçon without an inner loop

Answers

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is [tex]r=a[/tex] ± [tex]a\sin \theta[/tex]

Given the polar curve is [tex]r=[/tex] [tex]1+[/tex] 4 [tex]\sin \theta[/tex]

This is an equation of vertical cardioid.

So, it represents a cardioid.

Answer:

C - a limaçon with an inner loop

Step-by-step explanation:

If you have a graphing calculator, use it to plug in the equation.

Based on what you have learned, you will recognize the graph is C

A certain brand of tea costs $7.99 for 16.2 ounces.

What is the unit rate?

Enter your answer, rounded to the nearest cent, in the box.

$
per ounce

Answers

Answer:

49 cents per ounce

Step-by-step explanation:

49 cents per once,because if you divide $7.99/16.2 once’s you’ll get .49 cents :)

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c² plug in the info you have

a²+12²=13² (c is always the side opposite from the right angle)

Solve for a

a²+144=169

   -144  -144

a²=25   take the square root of both sides

√a²=√25

a=5

I will give 26 points for this!!!!

1) GST is 5% and the subtotal is $818.75 what is the Grand total?
2) PST is 8% and the subtotal is $818.75 what is the Grand total?

Answers

Answer:

37.5%

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Joshua was offered a job that paid a salary of $77500 in its first year . The salary was set to increase by 2% per year every year. If Joshua worked at the job for 5 years what was the total amount of money earned over the five years . to the nearest whole number



i think you have to use the sum of finite geometric series

a1=77,500
n=5
idk what im doing plz help​

Answers

Answer:

I didnt get what you mean maybe try to explian it another way

Step-by-step explanation:

Which of the following expressions are equivalent to c/d?

Choose all answers that apply:

Answers

Answer:

Both A and B are correct because a negative divided by a negative makes a positive.

Hence, the expression which are equivalent to [tex]\frac{c}{d}[/tex] is both (A) and (B).

What are the expressions?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Here both the options (A) and (B) are correct because negative got cancel and it would be like the given expression.

Hence, the expression which are equivalent to [tex]\frac{c}{d}[/tex] is both (A) and (B).

To know more about the expression

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What is 3/7 divided by 15?

Answers

Answer: Your answer is 1/35 or 35

Step-by-step explanation:

Which is NOT an example of kinetic energy

Question 8 options:

a skateboard rolling down a hill.


an arrow after it has hit the target and is at rest.


a skydiver as they decrease speed after opening their parachute.


an elevator moving up to the 3rd floor,

Answers

Answer: an arrow after it has hit the target and is at rest.

Step-by-step explanation:

Kinetic energy has to do with energy which a body possesses by virtue of being in motion. The arrow is not in motion anymore

Michelle bought 2 teddy bears and 3 flower vases for $27 in a shopping mall. Shannon bought 3 teddy bears and 2 flower vases for $30.5 from the same mall. what is the cost of the flower vase?

Answers

Answer:

$4

Step-by-step explanation:

let t represent teddy bear and v represent vase, then

2t + 3v = 27 → (1)

3t + 2v = 30.5 → (2)

Multiplying (1) by 3 and (2) by - 2 , then adding will eliminate t, that is

6t + 9v = 81 → (3)

- 6t - 4v = - 61 → (4)

Add (3) and (4) term by term to eliminate t, that is

5v = 20 ( divide both sides by 5 )

v = 4

The cost of the flower vase is $4

Answer:

It is going to be $4.00

Step-by-step explanation:

Hope this helped have an amazing day!

The table and graph both represent the same relationship. Which
equation also represents that relationship?




PLEASE someone HELP

Answers

Answer:

y=x^2

Step-by-step  explanation:

What is the volurne of the figure? Enter the answer in the box.
Cubic feet

Answers

Answer:

2700ft cubed

Step-by-step explanation:

The sum of two numbers is 240. If one of them
is y find the other number.​

Answers

Answer:

120?

Step-by-step explanation:

Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: [tex]x + y = 240[/tex]

To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. [tex]x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y[/tex] Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.

Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.

To know more about equation visit:

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24 is what precent of 30 ?

Answers

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

This can be written algebraically as 24 = x of 30, where we have to find what percent of 30 is equal to 24. Of is the same as multiplication: 24 = x · 30  Then, solve for x. The answer is x = 0.8 and 0.8 as a percent is 80%.

Hope this helped! :)

What is the first step in solving the equation 1 + 3/5x = 3?
What is the second step in solving the equation?

Answers

Answer:

subtract 1 from both sides

cube both sides

Step-by-step explanation:

nhfbgdvzfsdfexgrdtbfvdcfewzsxrdfcgvhjyvtfhcdgrxesrgdfcgvh

And a survey of 500 households 23% say that they have a dog as a pet the standard deviation is 2% determine an interval that if I need to contain the 95% of all households who has a dog as a pet

Answers

Answer:

(114.123, 115.877)

Step-by-step explanation:

Given that :

Sample size (n) = 500

Mean = 23% of 500 = 115

Standard deviation (s) = 2% of 500 = 10

α = 95%

Zcritical at 95% = 1.96

Confidence interval = Mean ± Error

Error = Zcritical * standard deviation /sqrt (n)

Error = 1.96 * 10/sqrt(500)

Error = 0.8765386

Lower boundary : 115 - 0.8765386 = 114.1234614

Upper boundary : 115 + 0.8765386 = 115.8765386

(114.123, 115.877)

Garrett read 100 pages in his new mystery novel. The book has a total of 250 pages.
What percent of the book has Garrett read?

Answers

Answer:

40% I believe

Step-by-step explanation:

I searched it up

PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME

Answers

Answer:

A.) 40.506 cm is the answer

Answer:

A. 40.506

Step-by-step explanation:

r=6.45

c= 2*3.14*6.45

c=40.506

0.18 divided by 0.33

Answers

Answer:

I am pretty sure it is 0.54

Answer:

The answer is 0.54. I have included a screenshot that shows the work and how to get 0.54. I hope this helps!

And by the way yes, I do know this is a 1-year-old question but I would like points and I have the answer.

:D

- Your friendly (late) responder

ASAP please & thank you

Answers

The answer is d.line segments that have the same length
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