find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year . ​

Find The Amount Accumulated After Investing A Principal P For T Years At An Interest Rate Compounded

Answers

Answer 1

Answer:

A = $2,122.20

Step-by-step explanation:

A = P(1 + r/k)^kt

Where,

A = future amount

P = principal = $1,500

r = interest rate = 7%

k = number of periods compounded = 4

t = years = 5 years

A = P(1 + r/k)^kt

= 1,500 (1 + 0.07/4)^4*5

= 1,500 (1 + 0.0175)^20

= 1,500 (1.0175)^20

= 1,500 (1.4148)

= 2,122.20

A = $2,122.20


Related Questions

5.401 \times 10^{-1} = {?}5.401×10 −1 =?

Answers

Answer:

2.005 x 10^2

Step-by-step explanation:

PLS HELP GUYS!!!
Select the correct step to solve 10x = 150.


Divide only one side of the equation by 150.

Divide both sides of the equation by 10.

Divide both sides of the equation by 150.

Divide only one side of the equation by 10.

Answers

Answer:

divide both sides of the equation by 10

divide both sides by 10 or just divide 150 by 10

Right Triangle Trigonometry.

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.

Answers

Answer:

344 feet

Step-by-step explanation:

474-130=344

find the sum of (2c+6)+3(c+8) pls help me for 15 points and a brainiest!!!

Answers

Answer:

(2c+6)+3(c+8)

=2c+6+3c+24

=5c+30

Which statements are true about triangle XYZ? Select three options.
XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.

Answers

First, second and fourth options are true about triangle XYZ.

XY measures [tex]\sqrt{26}[/tex] units.

YZ measures [tex]\sqrt{52}[/tex] units.

ZX measures [tex]\sqrt{26}[/tex] units.

XYZ is a right triangle.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given X (-1, 5), Y (4, 4), Z (-2, 0)

Distance between two points D = [tex]\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}}[/tex]

|XY| = [tex]\sqrt{(4-5)^{2} +(4+1)^{2} } =\sqrt{1^{2}+5^{2} } =\sqrt{26}[/tex]

|YZ| = [tex]\sqrt{(0-4)^{2} +(-2-4)^{2} } =\sqrt{4^{2}+6^{2} } =\sqrt{52}[/tex]

|XZ| = [tex]\sqrt{(0-5)^{2} +(-2+1)^{2} } =\sqrt{5^{2}+1^{2} } =\sqrt{26}[/tex]

[tex]|XY|^{2} +|XZ|^{2} =|YZ|^{2}[/tex]

So, XYZ is a right triangle.

So, the first, second and fourth options are correct.

Find out more information about right triangle here

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Answer: a and d

Step-by-step explanation:

edge

A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. Use an equation in point-slope form to determine the height of the candle after 2 hours.

Answers

Answer: 8.75 is the correct answer

Step-by-step explanation:

I'm big brain.

What is the greatest common factor of 48x3, 12x4, and 36x5?

Answers

12 is the greatest common factor

If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2

Answers

Answer:

C.

Step-by-step explanation:

G(x) = 5x - 2

G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.

G^-1(x) = (x/5) + 2

You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?​

a) Yes
b) No

Answers

Answer: Yes

Step-by-step explanation: got it wrong and told me the correct answer

WILL GIVE BRAINLIEST

Just need the answer

Answers

Answer: B

Step-by-step explanation:

2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3

Answers

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

Solve for h .

-18 + h = 28

h =

Answers

Answer:

H = 46

Step-by-step explanation:

Add 18 to both sides to get h by itself

h = 46

Final Answer: [tex]h = 46[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]h[/tex]. [tex]-18 + h = 28[/tex]. [tex]h[/tex] = ?

Step 1: Regroup the terms.

[tex]h - 18 = 28[/tex]

Step 2: Add [tex]18[/tex] to both sides.

[tex]h = 28 + 18[/tex]

Step 3: Simplify [tex]28 + 18[/tex] to [tex]46[/tex].

[tex]h = 46[/tex]

~I hope I helped you :)~

-16.3=w+6.1 first to answer will earn brainiest!

Answers

Answer:

w = - 22.4

Step-by-step explanation:

w + 6.1 = -16.3

**subtract 6.1 on both sides to isolate w:

w = -16.3 - 6.1

w = -22.4

Answer:i wont answer it because the other guy is right

Step-by-step explanation:

Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?

Answers

Answer:3,360.0

Step-by-step explanation:

Question in picture below will give brainly

Answers

Answer:

right ^_^

Step-by-step explanation:

Guys please help me with this?!

Answers

Answer:

X = 41  

y = 7.22

Step-by-step explanation:

How do you write 5 out of 6 in a fraction. Show how you got the answer.

Answers

Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

Answer:

5/6

5 out of 6

Step-by-step explanation:

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FASTEST!

Answers

Answer:

speed i answerd first U.U

Step-by-step explanation:

A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

Answers

Answer:

The sample size is [tex]n = 2[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  [tex]\sigma = 2.539[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>  [tex]n = [\frac{2.58  *  2.539  }{4.266} ] ^2[/tex]

=>  [tex]n = 2[/tex]

21 ft
What is the area of this rectangle?
Select the correct answer.
-21 ft
-24 1/2 yd 2
-14 yd 2
-28 yd2
-49 yd2
-None of the above.

Answers

Answer:

A=441 so none of the above

Step-by-step explanation:

A=wl=21·21=441

Consider the following statements:
I. As far as the significance level is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test.
II. A point estimation procedure utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest.
a. I and II are both true.
b. I and II are both false.
c. I is true and II is false.
d. I is false and II is true.
e. I is false and II is sometimes true.

Answers

Answer:

b. I and II are both false.

Step-by-step explanation:

I. For a significance level, the two tailed hypothesis is not always accurate than the one tailed hypothesis test. The hypothesis testing is carried to find out the correctness of a claim of a population parameter. The two tail hypothesis test which used both positive and negative tails of the distribution is not always more accurate than one tailed test.

II. The process of the point estimation involves the utilization of the values of a statistic which is obtained from the sample data to obtain the best estimate of a corresponding unknown parameter in the given population.

Hence, both the statements are false.

Plz answer the question attached

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)

Answers

Answer:

so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract

Step-by-step explanation:

List the subsets of the set { dog,cat,rabbit}

Answers

Answer: so dog goes to cat, dog goes to rabbit and cat goes to rabbit I think

Step-by-step explanation:

The possible Subset is

Sub sets :  {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.

What is a subset ?

If each constituent of a set A is a member of a different set B, then the sets A and B are subsets of one another.

To put it another way, A⊂B A and B stand for the subset connection.

Set A is referred to as a subset of Set B if all of the elements in Set A are also found in Set B. In other words, Set A is a part of Set B. A is the subset of B, for instance, if set A contains the elements X, Y, and set B contains the elements X, Y, and Z.

We have set,

Set :  {dog, cat, fish}

Then, the subset contain the elements of set A as

Sub sets :  {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.

learn more about Subset here:

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1. Slope: (put your answer in the form 3/4)

Answers

Answer:

1/4x

Step-by-step explanation:

The slope of any graph can be determined with the same formula

Change in Y

Change in X

Fill in the fraction

1

4

Thats how you get the slope.

I hope this helps!

pls give brainliest and thanks

Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 30 inches long.
If she knits at the same rate, how many minutes will it take Shelby to knit the scarf?

Answers

Answer:

90 minutes

Step-by-step explanation:

let x=amount of time it would take for Shelby to knit the scarf

[tex]\frac{15}{5} =\frac{x}{30}[/tex]

cross multiply

15*30=5x

450=5x

450/5=x

x=90

It would take Shelby 90 minutes to knit a scarf that is 30 inches long.

Solve each system using substitution.

1. 4x= 3y-2 ; 18= 3x+y​

Answers

Answer:

y = 6

Step-by-step explanation:

so since you have 2 variables, you need to find a substitution for one of them.

let's do that for y

let y = something in the second equation.

y = 18 - 3x

then plug this into the first equation

4x = 3(18 - 3x) - 2

4x = 54 - 9x -2

4x = 52 - 9x

13x = 52

x = 4

now you have x, plug it into any of the equations to find y.

4(4) = 3y - 2

16  = 3y - 2

18 = 3y

y = 6

Answer:

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 -----1

18= 3x+y -----2

Isolate the y in 2.

y = 18-3x -----3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6

Help me please I’m confused

Answers

Answer:

Its c

Step-by-step explanation:

⚠️HELP PLZ TIMED⚠️
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
O 2
O9
12
O 36

Answers

I’m pretty sure it’s 12 don’t take my advice tho just saying
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