Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.

Answers

Answer 1

Answer:

18.85 years

Step-by-step explanation:

Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]

[tex]2.8=1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=4t[/tex]

[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]

[tex]18.84876253=t[/tex]

It would take about 18.85 years in order for you to accumulate at least $1400.


Related Questions

In an experiment, the probability that event A occurs is 7/8, the probability that event B occurs is 7/9, and the probability that events A and B both occur is ¾ . What is the probability that A occurs given that B occurs?

Question 5 options:

0.829


0.125


0.762


0.964

Answers

Answer:

Here is answer

Step-by-step explanation:

sorry if it is wrong

I think 0.762 in the answer

Help picture below problem 9

Answers

Answer:

sometimes...

Step-by-step explanation:

mark me brainliest

A parallelogram is sometimes a rectangle.

A) sometimes

Explanation:

because the vertices join the adjacent sides at 90° angles and it has two sets of parallel sides and two pairs of opposite sides that are congruent. (a rectangle has all of the properties of a parallelogram.)

) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:

n=20, x¯¯¯=63.8, s=2.84
≤μ≤

Answers

Answer:

ask MisterBrainly for help

A.
B.
C.
D.
Please help

Answers

Answer:

I Think the answer is B I'm sorry if I'm wrong

a
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer using the 68 - 95 - 99.7 rule.
[ ? ]%

Answers

Answer:

2 Answers By Expert Tutors

Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.

please help me please pleasr please

Answers

Answer:

which one's anwer you want

2. length= 65 ft width=24 m area=135 in2

What did is the total volume,in cubic feet of the shape below

Answers

Answer:

64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.

Step-by-step explanation:

The picture has already split the two shapes.

*Remember Volume Formula: LWH or Length times Width times Height.*

The first shape is 4ft x 2ft x 2ft

The second shape is a little bit of a fuss but it's alright.

*Talking about the length of Shape no.2*

Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft

The second shape is 8ft x 2ft x 3ft

First shape should have a volume of 16ft

Second shape should have a volume of 48ft

Now, you need to add the two volumes:

48ft + 16ft = 64ft cubed

Enter the output values (Y) with the given function and input values (X).

Answers

Answer:

y = 3x - 2

X Y

6 16 3(6)-2 -> 18-2 = 16

5 13 3(5)-2 -> 15-2= 13

4 10 3(4)-2 -> 12-2= 10

7 19 3(7)-2 -> 21-2= 19

Find the area of the figure.

Answers

answer:

804.980cm²

explanation:

attached

--

if this helped, please consider giving brainliest !

PLEASE HELP ME FIND THE SURFACE AREA OF THIS PRISM

Answers

Answer: i don't know

Step-by-step explanation: i don't know sorry

I NEED HELP ASAP!!!!!!!!!!!

Answers

Answer: Below

Step-by-step explanation:

Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:

8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17

Since R = P, R = 3(17) + 5 = 56

Now with 14.

We know ABC is both 115 and 4x+6, so:
115 = 4x + 6

109 = 4x
x = 27.25

ADB is 6x - 11, so 6(27.5) - 11 = 152.5

12) 56

14) 152.5

Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.

Answers

Answer:

62.5 meters per minutes

Step-by-step explanation:

What is the answer to this? Due in 3 minutes!

Answers

The answer are
X=3
Wx=29

For Wx

7x+8
So you put the 3 in the x


7x3+8
21+8 =29


Hopefully that makes sense

Good luck

The rest is in attached
You use the formula
Wx = 1/2(uv +st )

Mandy paints four square walls that are ten feet on each side. Which expression represents the total square footage that Mandy painted?

4 × 102
42 × 10
4 × 10 × 2
102 + 4

Answers

Answer:

C. 4 × 10 × 2

Step-by-step explanation:

There are four walls that are ten feet on each side.

You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.

Therefore, your answer is 4 × 10 ×2

The circumference of circles

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt  \dashrightarrow \: \pi{d}^{}[/tex]

where, d = diameter

Now, let's calculate it ~

[tex]\qquad \tt  \dashrightarrow \: c = 4×\pi{}^{}[/tex]

[tex]\qquad \tt  \dashrightarrow \: c = 4\pi\: \: in[/tex]

That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14

[tex]\qquad \tt  \dashrightarrow \: c = 4 \times 3.14{}^{}  \\\qquad \tt  \dashrightarrow \: c = 12.56\: \: in\\\qquad\tt \dashrightarrow \: c \approx 12.6\: \: in[/tex]

A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

The answer would be two feet.

Step-by-step explanation:

Step 1. Do 10-6 (10 being the total space and 6 being the painting)
Step 2. Get the answer of 4.
Step 3. Divide four by 2 because it needs to be centered.
Step 4. Get the answer of two feet on each side.
I hope this helps! :)

Question - I need more ----- inside of my life

Answers

Answer:

Hi, this is not really a question it is a statement but if you really need help with math then you can provide an actual question.

Step-by-step explanation:

Answer:

Then you must improve to get more things in your life

Find the surface area of the pyramid.

Answers

Answer:

i think the answer is 87.

Step-by-step explanation:

i think its 87.

Landry is going to wrap a birthday present for his mom. He needs to know how much wrapping paper he needs to wrap the present with no overlap.

volume
or
surface area​

Answers

Answer:

  surface area

Step-by-step explanation:

Wrapping paper covers the surface of an object.

To know how much paper he needs, Landry will need to determine the surface area of the present.

A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?

Answers

20ft and 35ft are the dimensions

Step-by-step explanation:

Given :-

The length of rectangular garden is 15 feet longer than its widthThe area of rectangular garden is 700ft²

To find:-

Dimensions of rectangular garden

Solution:-

According to the question , let the length of rectangular garden be x and width be x + 15

We know , the formula for area of rectangular garden is L × B

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

By factorising it we get , x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

Write 0.00205 in scientific notation.

Answers

Answer:

Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.

Step-by-step explanation:

Answer:

[tex]2.05 \times 10 ^{ - 3} [/tex]

10. Cindy is wrapping a birthday present for her sister. The present is in a 10 points
box that has a length of 10 in, a width of 6 in and a height of 4 in. If the
wrapping paper costs $0.25 per square inch, how much would it cost to
wrap Cindy's present? *

Answers

Answer:

$648

First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost

Answer:

$62

Step-by-step explanation:

First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248

Now create a ratio to find the total cost:

[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]

Solve for x by cross multiplying -

x=62

If x²+ y²= 80 and xy = 12, find the value of (x - y)².​

Answers

[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]

We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2

The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)

Answers

Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:

P(blond) = 4/18 = 2/9

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

GIVING BRAINLIEST!

2pi8^2 + 2pi8*8=?

the answer should be 150, show the steps

Answers

Answer:

256π

Step-by-step explanation:

2π(8²) + 2π(8)(8) <== exponents first

2π(64) + 2π(64) <== multiply

128π + 128π <== add

256π <== final answer

Note: 8 * 8 can also be written as 8²

Hope this helps!

Answer:

256π

Step-by-step explanation:

4π(8²) =   4π(64)=  804.2477193

804.2477193/π = 256π

Write the following in words in international system with comas:
34407615​

Answers

Answer:

34,407,615

Explanation : 34 millions 407 thousands 615

Which of these inequalities means that
18 is greater than three times a number?

Answers

hello!

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

[tex]\pmb{3n}[/tex]

Now, 18 is greater than 3n:-

[tex]\pmb{18 > 3n}[/tex]

Which means 3n is less than 18:-

[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

If a house is 4,753 sq. ft, at the cost of $175/sq. ft what is the total cost of the house?

Answers

Answer:

$831,775

Step-by-step explanation:

$175 / sq ft and there are 4,753 square feet, so all we have to do is

175 x 4753 = 831775

Hope this makes sense. If you need further explanation, let me know!

- profparis

Answer:

$831,775

Step-by-step explanation:

the total cost of the house is 4,753 × 175 which is $831, 775

Keith wants to give 1/2 an apple to each of his 6 friends. How many apples does he need?

Answers

Answer:

12 apples is the answer because 1/2 divided by 6 is 12

Step-by-step explanation:

i need the answer pls help pls

Answers

Answer:

B

Step-by-step explanation:

x² - 8x + 97 = 0

the general form to solve such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = 97

so, we get

x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =

= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =

= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i

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