You invest $1,000 in an account with 6 % interest, compounded annually. Assume you do not touch the money or add money other than the earned interest.
How much money will you have in the account after 10 years?
(A) $ 1790.85
(B) $ 109951.16
(C) $ 538.62
(D) $ 1600

Answers

Answer 1

Answer:

A) 1790.85

Step-by-step explanation:

Hi there!

In order to solve this problem, you’ll need to use the compound interest formula [tex]x = p(1 + \frac{r}{n} )^n^t[/tex]

p will be your principle, or starting amount, which is 1,000.

r will be your percentage, which is 0.06.

n will be the amount of times interest is compounded, since this question says compounded anually, your compound will be 1.

t is the time in years it is compounded, which is 10.

When the numbers are plugged in, we get [tex]x = 1,000(1 + \frac{0.06}{1})^1^0[/tex]

When we solve for this, we get 1790.85.

Hope this helps! :)


Related Questions

can anyone help me with this?0​

Answers

Answer:

C) (y - 1)(y - 5)

Step-by-step explanation:

Hi there!

First you separate your expression into groups.

[tex](y^2-5y)(-1y+5)[/tex]

Now we take the common multiple out of each.

[tex]y(y - 5)-1(y - 5)[/tex]

Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.

After we do that, we are left with y - 1. (we got this from taking the common multiples out)

Now we are just left with (y - 5)(y - 1)

Hope this helped!

paper costs $ 40 for 10 teams how much for 1 ream?​

Answers

Answer:

$4

Step-by-step explanation:

40/10 = 4

At a local electronic store there is a 60.1% probability that an in
stock computer is a laptop. There also exists a 25.3% probability
that a randomly chosen in-stock computer at this electronics store
has an NVIDIA GTX graphics card chipset. The likelihood that a
randomly selected computer in this store is a laptop with an NVIDIA
GTX graphics card chipset is 11.95%. If you randomly choose a
laptop computer, what is the probability that this computer will be
equipped with an NVIDIA GTX graphics card chipset?

Answers

Answer:

17

Step-by-step explanation:

2) y = 3.x – 5; Find y if x = 8

Answers

Answer:

y=19

Step-by-step explanation:

y=3(8)-5

y=19

Answer:

Y=19

Step-by-step explanation:

So step one, fill in x and multiply

y=24-5

subtract

y=19

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1000 grams and mass was decreasing by 14% per day. Determine the mass of the radioactive sample at the beginning of the 10th day of the experiment. Round to the nearest tenth (if necessary).​

Answers

Answer:

120.91 grams

Step-by-step explanation:

multiply the initial amount by the percent that will remain to the power of n-1, n being the term number, or how many days that have passed.

f(x)=1000(0.85)^14-1

A train leaves at 0711 and arrives at 0945. It travelled at an average speed of 110 km/h.
How far did it travel? Give your answer in km to 1DP?​

Answers

Answer:

282.3

Step-by-step explanation:

Answer:

282.3

Step-by-step explanation:

WILL MARK BRAINLYIST

Answers

A.AAA know this becouse i took the test

HELP will give brainliest if you give right answer

Answers

x intercepts: when y = 0
It would be (x,0) and (x,0)
Look on the graph

Solution: (-7,0) and (-5,0)
X intercepts are (-5, 0) and (-7, 0) as the parabola intersects the x axis these two points

I need help with this problem !

Answers

Answer:

15, inches, 7, inches

Step-by-step explanation:

44=2(8+l)+2l

44=16+4l

28=4l

7=l

l=7

w=8+7

w=15

Write an equivalent expression to show the relationship of multiplication and addition 6 + 6 + 6​

Answers

Answer:

6^3

Step-by-step explanation:

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 75 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Answers

Answer:

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Population: [tex]\mu = 75, \sigma = 5[/tex]

Sample of 85: [tex]n = 85, s = \frac{5}{\sqrt{85}} = 0.5423[/tex]

If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

This is 1 subtracted by the pvalue of Z when X = 74.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{74.4 - 75}{0.5423}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a pvalue of 0.1335

1 - 0.1335 = 0.8665

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Help me please I dont know this​

Answers

Answer:

QS and PR. They are going in a strait line following the same path but they will never touch. :)

Answer: PQ and QR

Step-by-step explanation:

Well if you flip PQ over to it's side you will see that they are lining up

What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697

Answers

Answer:

22

Step-by-step explanation:

because it just is

How many solutions does the system have?
You can use the interactive graph below to find the answer.
y=3x+3
y=-2x+3








(Choice A)
A
Exactly one solution

(Choice B,)
B
No solutions

(Choice C)
C
Infinitely many solutions

Answers

It is c I believe ok guys plz give me the branliest

Answer:

its A exactly one soulution

Step-by-step explanation:

Use the graph of the scatter plot to answer the question.

Based on the graph, what would be the slope for the line of best fit of the scatter plot?

A. 0

B. 1/2

C. 1

D. 1 1/2

E. 2

Answers

Answer:i think 0

Step-by-step explanation:

Answer:

its 0 I got it right on my question yesterday

Type an equation for the following pattern. Enter the fraction in simplest form ​

Answers

Answer:

y=½x+0

Step-by-step explanation:

∆y/∆x

=1-½/2-1=½

the first part of the rule is ½x

Plug in x=3

½×3=3/2

when x=5

½×5=4/2

Therefore the rule is y=½x+0

A rectangle has a width measuring 6 units and a length measuring x + 4 units. Write and solve an inequality to find the value of x so that the area of the rectangle is more than 36 square units. Justify your answer.

Answers

Answer:

its easy the anser is x=40

Step-by-step explanation:

you just add the numbers

You might need:
Calculator, Z table
Yuki and Zana are on a swimming team. They often compete against each other in the 100 meter freestyle
race. Yuki's times in this race are normally distributed with a mean of 80 seconds and a standard deviation
of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard
deviation of 5.6 seconds. We can assume that their times are independent.
Suppose we choose a random 100 meter freestyle race and calculate the difference between their times.
Find the probability that Yuki's time is faster than Zana's.
You may round your answer to two decimal places.
P (Yuki faster)

Answers

Answer:

0.2389 = 23.89% probability that Yuki's time is faster than Zana's.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Find the probability that Yuki's time is faster than Zana's.

That is, the subtraction of Yuki's time by Zana's time has to be higher than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

[tex]\mu = 80 - 85 = -5[/tex]

The standard deviation is the square root of the sum of the variances. So

[tex]\sigma = \sqrt{4.2^2+5.6^2} = 7[/tex]

We have to find 1 subtracted by the pvlaue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-5)}{7}[/tex]

[tex]Z = 0.71[/tex]

[tex]Z = 0.71[/tex] has a pvalue of 0.7611

1 - 0.7611 = 0.2389

0.2389 = 23.89% probability that Yuki's time is faster than Zana's.

In this exercise we have to use knowledge about probability to calculate the probability of faster time, so we have to:

probability that Yuki's time is faster than Zana's.

When the distribution is normal, we use the z-score formula. In a set with mean  and standard deviation , the zscore of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Find the probability that Yuki's time is faster than Zana's. That is, the subtraction of Yuki's time by Zana's time has to be higher than 0. When we subtract normal distributions, the mean is the subtraction of the means. So:

[tex]\mu= 80-85=-5[/tex]

The standard deviation is the square root of the sum of the variances. So:

[tex]\sigma= \sqrt{(4.2)^2+(5.6)^2} = 7[/tex]

We have to find 1 subtracted by the p-value of Z when X = 0. So:

[tex]Z= \frac{X-\mu}{\sigma}\\Z= \frac{0-(-5)}{7}\\Z= 0.71[/tex]

Has a p-value of 0.7611:

[tex]1 - 0.7611 = 0.2389[/tex]

See more about probability at brainly.com/question/795909

Which expression represents the absolute value of - 10

Answers

Answer:

|-10|=10

Step-by-step explanation:

Absolute value is 10

helppppp please what is it

Answers

Answer: 125 yards?

Step-by-step explanation:

Answer:

125 yards

Step-by-step explanation:

triangles are similar so let's see the ratio

112/140= 4/5

100÷ 4/5 =125 yards

Elijah is planning a circular flower garden with a 12-foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for π)

Answers

Answer:

37.7 ft

Step-by-step explanation:

c=πd (circumference= 3.14*diameter)

c=3.14*12

c=37.68 ft

rounded to tenths place-37.7 ft

Pls help urgently extra points and mark brainlist easy reading

Answers

Answer:

the act of pointing out faults

Step-by-step explanation:

Answer: The answer is A the act of pointing out faults because it talks about how Anna was Criticism of how the or the author on skate  

Step-by-step explanation:

Please help 15 point

Answers

Answer:

x = √2

Step-by-step explanation:

Since this is a 30° 60° 90°, the hypotenuse is 2 times greater than the small leg. We can use this information to make an equation and solve for x.

2x = √8

x = √2

Therefore, x = √2.

Simplify each expression -21v^6/-6v^8, v=0

Answers

Answer:

The correct answer is,

[tex] - \frac{7v {14}^{} }{2} [/tex]

Answer:

the answer is b 7/2v^2

i got it right on ed

please help me ill mark brainliest

Answers

Answer:

A) 50

Step-by-step explanation:

X = 5

15 * 5 + 75 = 150

150 / 3 = 50

y = 50

Please help

Sorry I need 20 characters to submit this question that’s why I’m adding more words please help

Answers

Answer:

C

Step-by-step explanation:

i think its c because 4 times -7 is negative 28, which means that the other answers are wrong. please give me brainliest!!<3

julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number

Answers

Answer:

-10

Step-by-step explanation:

Answer:

 309

Step-by-step explanation:

-42 x -7 = 294 + 15 = 309

Help plz? I don’t know what to write

Answers

Answer:

1. C

2. B

3. A

4. D

Step-by-step explanation:

In a game show, contestants gain or lose points by answering questions. Jacob began with 27 points, then he lost 53 points and gained 15 points. What was his final score?

Answers

Answer:

His final score was -11 points

Step-by-step explanation:

27 - 53 = -26

-26 + 15 = -11

It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
A: How long does it take him to cover the 1rst hallway? The second one? The third one?

B: Does Damian make it to class on time? By how much is he late or early?

Answers

Answer:

He will not make it to class. He will be 3 seconds late!

Step-by-step explanation:

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