1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolbaska11 [484]
3 years ago
9

You are given a choice of taking the simple interest on ​$10,000 invested for 2 years at a rate of 3​% or the interest on ​$100,

000 invested for 2 years at an interest rate of 3​% compounded daily (use the Banker's rule ).
Which investment earns the greater amount of​ interest?
Give the difference between the amounts of interest earned by the two investments.
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

Compount interest earns more. Difference between 2 interest is $92 445.39

Step-by-step explanation:

Simple Interest:

I =  \frac{prt}{100}

p = $10000

r = 3%

t = 2years

I = (10000×3×2)/100

= $600

Total amount = $10 600

Compound Interest:

A = p( {1 +  \frac{r}{100}) }^{n}

p = $100000

r = 3/730 (daily)

t = 730 (2yrs)

A = 100000[1+(3/73000)]^730

= $103 045.39 (2d.p)

Difference = $103045.39 -

$10600

= $92 445.39

(Correct me if i am wrong)

You might be interested in
Sally's bank account has $650 in it. Every week, Sally withdraws $50 to pay for her dog sitter.
lawyer [7]

Answer:

11 weeks

Step-by-step explanation:

If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.

I hope this helps have a great day :)

8 0
2 years ago
Given the equation P2 = A3, what is the orbital period, in years, for the planet Saturn? (Saturn is located 9.5 AU from the sun.
algol [13]

Answer: 29.28 years

Explanation:

From Kepler's third law the square of orbital period of revolving celestial body is proportional to the cube of semi -major axis from the body  it is revolving about.

P² =A³

Where, P is the orbital period in years and A is the semi-major axis in AU (Astronomical units)

It is given that, For Saturn, A = 9.5 AU. We need to find P

⇒P² = (9.5 AU)³

⇒P² = 857.38

⇒P = 29.28 years

Thus, the orbital period of Jupiter is 29.28 years around the Sun.

5 0
3 years ago
Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2. Samples of size 100 from
garri49 [273]

Answer:

standard error = 2.11

Step-by-step explanation:

First we stablish the data that we have for each sample:

<u>Population 1</u>                                          <u>Population </u>2

n₁ = 100                                                     n₂ = 90

x¯1= 95                                                    x¯2 = 75

σ₁ = 14                                                        σ₂ = 15                  

To calculate the standard error of each sample we would use the formulas:

σ = σ₁/√n₁

σx¯2 =  σ₂/√n₂

Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:

σx¯1 - σ x¯2  = √(σ₁²/n₁ + σ₂²/n₂ )

So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):

σ₁² = (14)² = 196

σ₂² = (15)² = 225

Now we can proceed to calculate the standard error of the distribution of differences in sample means:

σx¯1 - σx¯2  = √(196/100 + 225/90) =  2.11

This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.

6 0
3 years ago
Chris is calculating his deductions for his tax return. He is filing singly. He can claim $1,813 from property taxes, $1,513 fro
zalisa [80]
The standard deduction compare to Chris’s deductions is letter D which is "<span>The standard deduction is $664 better than Chris’s deductions."

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
5 0
3 years ago
Michael has 1.85 in dimes and nickels.He has a total of 25 coins.how many of each does he have
creativ13 [48]
D+n=25 subtract d from both sides *(if your wondering what d and n are it stands for Dimes and Nickels)* n=25-d   
0.10d+0.05= 1.85
0.10d+0.05(25-d)= 1.85
0.10d+1.25-0.05d= 1.85
0.05d = 0.60
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My answer: He has 12 dimes (d=12) and 25-12=13 so 13 nickels.. Hope this helps! :)

5 0
3 years ago
Other questions:
  • Hey can you please help me posted picture of question
    8·1 answer
  • What is the value of m in the following proportion? 5/6 m/48 20 pionts m
    12·2 answers
  • Mr. Nguyen plants 24 trees around the neighborhood pond. he plants equal numbers of maple,pine,spruce, and birch trees. ge water
    11·1 answer
  • |2x-3|=5<br><br> Absolute value
    13·2 answers
  • The diagram shows a sphere with center O and a radius of 6 inches that has been cut by a plane. The cross-section formed by the
    8·2 answers
  • Volume of spheres and cones
    10·2 answers
  • Simplify the following 2a + 3b + 4a – 7b
    15·2 answers
  • I will give brainiest to whoever answers correctly !!
    14·1 answer
  • PLEASEEE HELP!!!! what’s the relation?
    15·1 answer
  • What is the horizontal and vertical shift for the absolute value function below f(x)=3[x+9]+6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!