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
kari74 [83]
3 years ago
5

Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual

interest compounded annually. They leave the money in the account for 4 years. Which statement is true about the two investments after 4 years?
Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer:

It is clear that, The Shelly account is $11.23 more than that in Anne account .

Step-by-step explanation:

Given as :

For Anne

The amount deposited in account = p = $500

The rate of interest = r = 6%  at simple interest

The time period of deposit = t = 4 years

Let The amount received in account after 4 years = $A_1

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or, s.i = \dfrac{\textrm p\times \textrm r\times \textrm t}{100}

Or, s.i = \dfrac{\textrm 500\times \textrm 6\times \textrm 4}{100}

Or, s.i = \dfrac{12000}{100}

i.e s.i = $120

∵ Amount = Principal + Interest

Or, A_1 = p + s.i

Or A_1 = $500 + $120

Or, Amount = $620

So, The Amount in Anne account after 4 years is $620

Again

For, Shelly

The amount deposited in account = P = $500

The rate of interest = R = 6% compounded annually

The time period of deposit = T = 4 years

Let The amount received in account after 4 years = $A_2

<u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A_2 = P × (1+\dfrac{\textrm R}{100})^{\textrm T}

Or, A_2 = $500 × (1+\dfrac{\textrm 6}{100})^{\textrm 4}

Or, A_2 = $500 × (1.06)^{4}

Or, A_2 = $500 × 1.26247

Or, A_2 = $631.23

So, The amount received by Shelly in her account after 4 years = $631.23

Now, Difference between amount received in their account

i.e  A_2 -  A_1 = $631.23 - $620

Or, A_2 -  A_1 = $11.23

Hence, It is clear that, The Shelly account is $11.23 more than that in Anne account . Answer

You might be interested in
Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)
Afina-wow [57]

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

4 0
2 years ago
After a party, Corey and Jama count their candy stashes. Corey has 81 pieces and jama has 95 pieces. Corey
Mandarinka [93]

Answer:

the answer is c

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which statement about the amount of paint found by
stepan [7]
  • Circumference=37.68cm
  • 2πr=37.68
  • 6.28r=37.68
  • r=6cm

So

TSA of one hemisphere

  • 2πr²+πr²
  • 6.28(6)²+3.14(6)²
  • 36(6.28)+36(3.14)
  • 36(6.28+3.14)
  • 36(9.42)
  • 339.12cm³

For 2 hemisphere

  • TSA=2(339.12)=678.24cm³
3 0
2 years ago
Create and solve a system of equations for the following scenario: Luke and Leia are selling hot dogs and hamburgers at a minor
mixas84 [53]

So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.


5 0
3 years ago
I need to know what the answer to this problem is the right answer 4/8
erik [133]
I got 8/3 because 4/8 would simplify to 1/2 and the line would be flatter
8 0
3 years ago
Other questions:
  • Solve the system of equations. <br>5y-4x = -7 <br>2y+4y = 14​
    12·1 answer
  • Which number is a factor of 100?
    13·1 answer
  • What do the side lengths of the area models (1,3,5,9,15 and 45) represent? (B) what do these side lengths represent? (C) what is
    9·1 answer
  • PLEASE HELP! What is the area of triangle BCD in exact form? 35 points!
    14·1 answer
  • How long would you need to keep $775 in an account that pays 3% simple interest to earn $93 interest?
    11·1 answer
  • Town A currently has 10,000 people in the population is growing by 1000 people per year. Town B currently has 9000 people in the
    14·1 answer
  • Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D
    11·1 answer
  • The slope of the line below is -3. Use the coordinates of the labeled point to find a point-slope equation of the line.
    8·1 answer
  • What is the smallest number such that when it is divided by 3,5,7 leaving remainder 2 in each case
    14·1 answer
  • *QUICK ANWSER*
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!