Recently, More Money 4U offered an annuity that pays 6.3% compounded monthly. If $1,986 is deposited into this annuity every​ month, how much is in the account after 8 ​years? How much of this is​ interest?

Answers

Answer 1

Answer:

[tex] A = 1986(1+ \frac{0.063}{12})^{12*8} =3283.153[/tex]

So then after 8 years we will have in the account 3283.153

And in order to find the interest we can do the following operation:

[tex] I = 3283.153 -1986 = 1297.153[/tex]

Step-by-step explanation:

For this case we can use the formula for the future value using compound interest given by:

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

Where P= 1986 the initial amount invested. r = 0.063 represent the interest rate. n=12 represent the number of times that the rate is compounded in a year. And t =8 years . Replacing the info we got:

[tex] A = 1986(1+ \frac{0.063}{12})^{12*8} =3283.153[/tex]

So then after 8 years we will have in the account 3283.153

And in order to find the interest we can do the following operation:

[tex] I = 3283.153 -1986 = 1297.153[/tex]


Related Questions

What is the circumference of a circle with a radius of 91 mm? (use 22/7 for pi; show your work in numbers)

Answers

Answer:

571.77 is the correct answer because

C=2πr=2·π·91≈571.76986

I will mark the brianliest for the first person to answer right. Give you 30 points.
There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in. If you make a horizontal slice through it, what is the area of the exposed 2-dimensional shape? (show your work in numbers)

Answers

Answer: The required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Step-by-step explanation:

Given, There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in.

If we make a horizontal slice through it, then we will have two-dimensional figure called 'rectangle' with dimensions length by width as 12.5 in. by 11 in.  [As per given]

Then, the area of the exposed 2-dimensional shape = Area of the reactngle

= Length x width

[tex]=12.5\text{ in.}\times11\text{ in.}\\\\=137.5\text{ in.}^2[/tex]

Hence, the required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Marie has a collection of shark teeth. When her uncle returns from vacation, he brings her 141414 more shark teeth. Now Marie has 515151 shark teeth.
How many shark teeth did Marie have before her uncle's gift?

Answers

Answer:

  37

Step-by-step explanation:

Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:

  51 -14 = 37

Marie had 37 shark teeth.

THE PLANE DESCENDED 25 FEET PER
SECOND FOR 7 SECONDS. WHAT WAS
THE PLANES CHANGE IN ELEVATION?

Answers

Answer:

175 ft

Step-by-step explanation:

25 x 7= 175

What is the surface area of the pyramid

Answers

Answer:

Step-by-step explanation:

surface area=2×1/2×10×12+2×1/2×2×13+10×2

=120+26+20

=166 square units

sharonda is plotting quardrilateral pqrs on the graph below. she will plot the fourth and final vertex, s, at (9,5). what will be the length of the side ps?

Answers

Step-by-step explanation:

test answer just testing the app not sure of the answer

The value of a piece of equipment is decreasing at a rate of 7,5% yearly. If the equipment
was valued at $930 when it was purchased, which function represents the value of the
equipment x years after it was purchased? Explain,

Answers

Answer:

y=930 x 075^x

Step-by-step explanation:

y is the price after the amount of years x being plugged into the equation. 930 is what you started with. 7.5 is what is being decreased so divide that by 100 and you get 0.075 plug in the amount of years into x and you have your equation

Helen rolls a dice and flips a coin.

Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000 If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.y = 10,000 300x + 300 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000 x =

Answers

Answer: 12.5

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

i just did it

What is the area of the shape below

Answers

Answer:

The answer is 886.

You need to find the area of each specific shape and then add them together.

19 * 11 = 209, which is the area of the rectangle in the middle.

34 * 16 = 544, which is the area of the rectangle on the bottom of all the other shapes.

Now the triangle is a little more complicated. It only gives you the length of both the triangle and the rectangle combined, so first you need to subtract the length of the rectangle.

25 - 11 = 14, which is the length of the triangle.

Next, to find the area of a triangle, you need to multiple the length times the height and then divide it by two. 14 * 19 = 266. Divide 266 by 2 and you get 133.

Now, like I said earlier, add all of these together.

544 + 209 + 133 = 886.

What angle measures have tangent 1

Answers

Step-by-step explanation:

the angle should be 60°

Hana has decided to purchase a new car. She decides to put 15% down and finance the remaining balance. The bank offers Hana a 48 month loan at 6.76%. If the car is valued at $28,000, what will her monthly payments be?

Answers

Answer:

667.38

Step-by-step explanation:

28,000 loan amount

4 years

6.76%

Answer:

a.

$567.27

Step-by-step explanation:

Edge 2020

Anna plans to retire at 70 and hopes to withdraw $30,000 per gear until she’s 95. If money earns 6% compounded annually how much will she need at 70

Answers

Answer:

$383,500.68  

Step-by-step explanation:

The amount needed is the present value of the $30,000 that Anna will withdraw for 25 years compounded at 6% annually

=pv(rate,nper,pmt,fv)

rate is the annual rate of 6%

nper is the number of years of withdrawal which is 95-70=25

pmt is the amount of annual withdrawal which is $30,000

fv is the amount of withdrawals which is unknown

=pv(6%,25,-30000,0)=$383,500.68  

The amount of she required at 70 is $$383,500.68   which gives her the benefit of withdrawing $30,000 per year at retirement

Write the equation of a line with the slope of 2, which contains the point
(4,-8).

Write your equation in slope intercept form and do NOT put any spaces in your answer.

Answers

Answer:

y=2x-16

Step-by-step explanation:

So since we have a point and the slope, we can use the point-slope equation to find our equation of a line

y - y₁ = m(x - x₁)

Here our (x₁, y₁) point is (4, -8) and our m is 2

Plugging in these values to our equation gives us:

y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the  8 from both sides gives our equation of a line y = 2x - 16

How many students were asked? How do you know?


Find the median for these data.

Answers

Answer:

a=10 students because there are 10 answers.

b=5

Step-by-step explanation:

a=10 students because there are 10 answers.

b, you need to list the numbers all out and rearrange them from smallest to largest.

0, 0, 1, 2, 3, 7, 9, 10, 13, 15

The median means the middle which is 3 and 7

Because we have two numbers, we need to find the middle number of 3 and 7 which is 5

which is the leastt common multiple for 3 and 9

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form.

Answers

Answer:

work is shown and pictured

pls it's urget solve it fast ​pls pls

Answers

Answer:

15

Step-by-step explanation:

2x+3y=5

6x+9y=k

Multiply the top equation by 3:

6x+9y=15

Since the left side of both equations is 6x+9y, k must be 15. k and y can now have infinite solutions, since the top and bottom equations are the same. Hope this helps!

If you can buy 6 bulbs of elephant garlic for $18 then how many can you buy with $54?

Answers

Answer:

18 bulbs for $54

Step-by-step explanation:

if we get 6 bulbs for $18

we can keep going

12 bulbs for $36

18 bulbs for $54

or we can divide 54 by 18 and get 3

then we multiply 3 by 6 and get 18 bulbs :)

if im correct may i please get brainliest

Answer:

18 bulbs

Step-by-step explanation:

let x number of bulbs can be bought for $54.

[tex]\frac{6}{18} =\frac{x}{54} \\\frac{1}{3} =\frac{x}{54} \\\\3x = 54\\x =\frac{54}{3} \\x=18[/tex]

Hints # 2- Rewrite the mixed numbers as fractions greater than one, then multiply! The first CORRECT answer will get Brainliest. If you can’t see zoom in, don’t answer if you don’t know. If you any questions click the 3 dots next to this questions. Then click the comments and ask me any questions there. Stay safe and inside and have a blessed one. God loves you!

Answers

Answer:

1615 / 48

Step-by-step explanation:

So the mixed numbers as improper fractions is:

6 1/3 = 19 / 3

4 1/4 = 17 / 4

1 1/4 = 5 / 4

19 / 3 * 17 / 4 * 5 / 4 = 1615 / 48

It's kinda messy so it might be wrong.

Answer:

About 33.65 feet

Step-by-step explanation:

[tex]6 \frac{1}{3} * 4 \frac{1}{4} * 1\frac{1}{4} =\\\\\\\frac{19}{3} *\frac{17}{4} *\frac{5}{4} =\\\\\\\frac{323}{12}*\frac{5}{4} =\\\\\\\frac{1615}{48} =\\\\\\33 \frac{31}{48}[/tex]

Or about 33.65 feet

~Help me with this please!
I will mark as BRANLIEST!

(Look at the attachment)

Answers

Answer:

You will find the answer from my explanation.

Step-by-step explanation:

Let the cost of one small shirt be x

And that of a large shirt be y

From the expression above;

4x + 14y = 210; since the total cost of a small shirt by Wili is;

4 * x and the large shirts 14 * y

Similarly for Jordan we have:

12x + 11y = 110; since the total cost of a small shirt by Jordan is;

12 * x and the large shirts 11 * y

We now have two equations,

So you can solve both equations now using elimination method;

If you multiply all the variables of x and y in the first equation by 3 and then subtract the second equation from it, x would be eliminated remaining y;

Multiplying the first equation we have;

12x + 42y = 630

- 12x + 11y = 110

------------------------------

0. + 31y = 520

You can continue from there

Divide. 21,382.62 ÷ 10,000

Answers

The answer is: 2.138262

Answer:

the answer is 2.138262

Step-by-step explanation:

hope this helps

Please answer this correctly

Answers

Answer:

36

Step-by-step explanation:

60/40 = 3/2

so you need z to be 3/2 *24 for it to be saved. 1.5*24= 36

Por que es importante estudiar quimica

Answers

Answer: Se necesitan conocimientos de química para desarrollar la producción química y mejorar la calidad de vida de las personas. El uso competente del conocimiento químico permite a la humanidad resolver los problemas más importantes de nuestro tiempo: alimentos, energía y medio ambiente.

Step-by-step explanation:

Joshua and Noah go to the movie theater and purchase refreshments for their friends.

Joshua spends a total of $74.75 on 9 drinks and 4 bags of popcorn.

Noah spends a total of $18.00 on 2 drinks and 2 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Using these equations, determine and state the price of a bag of popcorn, to the nearest cent

Answers

Answer:

Formula is y=mxtb try to plug it in

Step-by-step explanation:

Formula is y=mxtb try to plug it in

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

B

Step-by-step explanation:

For example let's set up a quadratic equation.

Let's use

f(x) = (x + 10)^2 + 7

The seven is the y intercept so let's ignore that and focus on the ten.

When we graph this we end up getting the picture below. Now, why is the vertex at -10? The reason is the equation starts off with a negative sign.

f(n) = (h - x) + k

So, if x is positive then it will remain negative but still go in positive just because the equation has a subtraction sign in it.

As a result when the equation has + 10, it shows that the x is negative because x = -10 and when you do

h- (-10) it becomes h + 10.

Hoped this helps

which statement explains how the lines x+y=2 and y=x+4 are related

Answers

Answer: They are similar because they intersect with each other at (-1,3).

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.Is this evidence that the scent of lavender is not gender‑neutral, on average? Select the correct statement of H0H0 , HaHa , and the hypotheses parameter in the corresponding test. - Let µμ be the mean gender‑orientation score for all smells being studied. We test H0:µ=12H0:μ=12 versus Ha:µ≠12Ha:μ≠12 ; The alternative is two‑sided because we want to test if all of the smells are not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ=1.28H0:μ=1.28 versus Ha:µ≠10.28Ha:μ≠10.28 ; The alternative is two‑sided because we want to test if lavender is not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ=12H0:μ=12 versus Ha:µ≠12Ha:μ≠12 ; The alternative is two‑sided because we want to test if lavender is not gender‑neutral. - Let µμ be the mean gender‑orientation score for lavender. We test H0:µ<12H0:μ<12 versus Ha:µ≥12Ha:μ≥12 ; The alternative is not two‑sided because we want to test if lavender is gender‑neutral.

Answers

Question:

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.

Is this evidence that the scent of lavender is not gender neutral, on average? Select the correct statement of H0, Ha, and the hypotheses parameter in the corresponding test. -

a) Let µ be the mean gender-orientation score for all smells being studied. We test H0: µ=12 versus Ha: µ≠12 ; The alternative is two-sided because we want to test if all of the smells are not gender-neutral.

b) Let µ be the mean gender-orientation score for lavender. We test H0:µ=1.28 versus Ha:µ≠10.28; The alternative is two-sided because we want to test if lavender is not gender-neutral.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

d) Let µ be the mean gender-orientation score for lavender. We test H0: µ < 12 versus Ha: ≥ 12 ; The alternative is not two-sided because we want to test if lavender is gender-neutral.

Answer:

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

Step-by-step explanation:

Here, some smells are perceived to be more feminine while some are more masculine. The researcher picked a sample size of 300 american adults to score quantitatively the perceived gender-orientation of lavender.

We are told that when the score is smaller it indicates a mord feminine scent, when the score is larger it indicates a more masculine scent while a score of 12 indicates a gender neutral scent.

In this case the participants gave lavender a score of 10.28

From the above information we have the following :

Mean, µ = 12

Sample size = 300

Sample mean x' = 10.28

Since the sample mean is less than 12, the null and alternative hypotheses will be:

H0 : µ = 12

Ha : µ ≠ 12

This is a two tailed test because the alternative hypothesis is not gender based, which means lavender could be perceived to be either more feminine or more masculine.

The correct option is option C.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

estion



Carmen, Goran, and Henry have a total of

$

127


in their wallets. Henry has

4


times what Goran has. Carmen has

$

7


more than Goran. How much does each have?

Answers

Answer:

Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

Step-by-step explanation:

be Carmen's money "c", Goran's "g" and Henry's "h"

Now, we organize the equations and we are left with:

c + g + h = 127

h = 4 * g

c = g + 7

replacing in the main one we have:

g + 7 + g + 4 * g = 127

6 * g = 127 - 7

g = 120/6

g = 20

now replacing:

h = 4 * 20 = 80

c = 20 + 7 = 27

therefore, Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

I need help please look at the picture and tell me what x equals thank you.

Answers

Answer:

X= 72

Step-by-step explanation:

(x-2)+ (x-2)+(x-2) = 180°

or, 3x - 36 = 180°

or, 3x = 180+36

or, 3x = 216

or, x =216/3

or, x = 72°

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