Mathematics College

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

40:10 = 12 :
Equivalent ratio

Answers

40:10=12:3


Solution:

Since
40 : 10 = 12 : X

Then we know
10/40 = X/12

Multiplying both sides by 12 cancels on the right
12 × (10/40) = (X/12) × 12
12 × (10/40) = X

Then solving for X
X = 12 × (10/40)
X = 3

Therefore
40 : 10 = 12 : 3

Arthemeatic sequence

Answers

Answer:

14

Step-by-step explanation:

its going down by 11

Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Michelin wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Michelin announce

Answers

Answer:

The minimum guaranteed mileage is  [tex]x = 71489.55[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 67900[/tex]

     The standard deviation is  [tex]\sigma = 2050[/tex]

Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

    [tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]

=>  [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]

=>    [tex]z = \frac{ x - 67900 }{ 2050}[/tex]

From the z table, the critical value corresponding to 0.96 to the left of the curve is  

         [tex]z = 1.751[/tex]

So

        [tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]

=>     [tex]x = 71489.55[/tex]

Please please help fast! I don't have time!!! Please

Answers

Answer:

Concept: Statistical Analysis

2 and 4 would be correct and indicate a strong correlation between the subject and the result

18. A couple is opening a savings account for a newborn baby. They start with
$3,450 received in baby gifts. If no deposits or withdrawals are made, what is
the balance of the account if it earns simple interest at 5% for 18 years?
I

Answers

Answer:

I think you have to do ( 3,450 x .05 ) x 18

Sorry if i'm wrong.

Balance at end is $6,555

Given that;

Amount deposit in bank = $3,450

Rate = 5% = 0.05

Number of year = 18 year

Find:

Balance at end

Computation:I = PRT

Balance at end = PRT + Amount deposit in bank

Balance at end = (3,450)(0.05)(18) + 3,450

Balance at end = 3,105 + 3,450

Balance at end = $6,555

Learn more:

https://brainly.com/question/3304148?referrer=searchResults

Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?

Answers

Well it would be 7 days. 36 x 3 is 108 720 divided by that is 6 but a remainder so you add one to 6 and it’s 7

Answer:

She has to work for 60hours in order to earn $720.

Step-by-step explanation:

Amount of money earned in 1hour=36÷3

                                                        =12$

Total time required=720÷12

                               =60hours

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2

Answers

Answer:

12.7

Step-by-step explanation:

[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]

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

Answers

Answer:

2.005 x 10^2

Step-by-step explanation:

Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will randomly choose 1 marble from the bag. What is the probability that Keisha will choose an orange marble? this is one question only probability please it´s urgert!! Here are the answer choices: A 2/4 B 1/8 C 3/8 or D 1/4.

Answers

Answer:

Answer

Step-by-step explanation:

1/4

PLEASE HURRY WILL GIVE BRAINLEST

What is the gross earnings for a person who has $26,480 in total sales, $1250 in Returns and Allowances, and a rate of commission of 7%?

Answers

Answer:

2317.000.00

Step-by-step explanation:

can someone help me with this

Answers

Answer: 28 hours and 5 min

Step-by-step explanation:

So there are 60 min in hour so the fourmula would be 60x=1683 and when you solve you get 28.05

81x^4 write as a square

Answers

Answer:

a square what

Step-by-step explanation:

Answer:

(9x^2)^2

Step-by-step explanation:

81 root is 9

Evaluate:5^-1 – 6^-1
with explanation please!!

Answers

Answer:

1/30

Step-by-step explanation:

5^-1 = 1/5

6^-1 = 1/6

1/5 - 1/6 = 1/30

Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 

Answers

Answer:

4 5 and 20

Step-by-step explanation:

A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The 80% confidence interval is  [tex]0.0328 <  \mu <  0.0392[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 23

  The sample mean is  [tex]\= x = 0.036 \ cc/m^3[/tex]

   The standard deviation is  [tex]\sigma = 0.012[/tex]

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } =  1.282[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = 1.282  *  \frac{0.012 }{\sqrt{23} }[/tex]

=>    [tex]E = 0.00321 [/tex]

Generally 80% confidence interval is mathematically represented as  

      [tex]0.036  -0.00321 <  \mu <  0.036  + 0.00321[/tex]

=>  [tex]0.0328 <  \mu <  0.0392[/tex]

   

4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)

Answers

The 3 option
(3,9), (-7,1), (6,12), (-3, -9)


determine if any of the following listed pairs are congruent, select all that apply

Answers

Is there a picture I can look at?

Suppose that y varies directly with x and y = 12 when x = -2. What is x when y = -6?

Answers

X=1

Explanation:
Conduct a ratio, -2/12=x/-6

You have to find the x in this ratio so you will multiply -2 and -6 together, and multiply 12 and x together and make them equal to eachother. It would look like this.
(-6)(-2)=12x
12=12x
x=1

I hope this is right and I’m sorry if I’m wrong:((

True or False. A triangle can be made with side lengths 4, 4 and 8.

Answers

Answer:

False

Step-by-step explanation:

34 divided by 523.6




Answer

Answers

Answer:

0.06493506493

Step-by-step explanation:

Answer:

0.064935065

Step-by-step explanation:

every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy

Answers

Answer:

The 40th visitor will recieve both

Step-by-step explanation:

5×8= 40

8×5= 40

Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5

A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.

B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.

C) Lourdes dog gained weight every month because it is getting older.

D) Lourdes dog lost weight every month because the change in May is a negative number.​

Answers

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of

Answers

Answer:

17

8/17

Step-by-step explanation:

x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]

sin∠D = [tex]\frac{8}{17}[/tex]

what the answer?please tell me
12 points

Answers

Step-by-step explanation:

[7 + (-2)] * (-3)

= 7(-3) + (-2)(-3)

= -21 + 6

= -15. (C)

Answer:

C. -15

Step-by-step explanation:

Hope this helped have an amazing day!

what methods of the early Greek historians might be useful to historians today

Answers

Answer:

The study of the past and examining why events took place.

Answer:

The investigation of the past and the causes of events.

Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£

Richard:
£

Nick:
£

Answers

Answer:

dan 14 Richard 42 nick 14

Select the correct answer.
Which graph represents this equation?
y- 4=-3(x+5)

Answers

Step-by-step explanation:

The given expression is :

y- 4=-3(x+5)

⇒ y-4 = -3x-15

⇒y+3x = -15 + 4

⇒ y+3x= -11

We need to draw the graph for this equation. The attached figure shows the graph for this equation.

**********************

Answers

Answer:

4

Step-by-step explanation:

you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X

how much is 48 oz in lobby?

Answers

Answer:

bill nyedddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-s dtep explanation:

dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

What is 60 minutes 20% of

Answers

Answer:

60 minutes is 20% of 300%

Step-by-step explanation:

60 minutes is 20% of 300
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