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
tekilochka [14]
2 years ago
15

Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened he

r account with initial deposit of $10,000. She made $1,000 deposits at the end of each quarter. How much is in the account at the end of 6 quarters?
Mathematics
2 answers:
77julia77 [94]2 years ago
5 0
The answer is 16,240

I just timed 4% to 1 thousand which got me 40. I added 40 to a thousand. Then timed 1040 to 6 which got me 6240. I added 6240 to 10 thousand to get 16,240.
fiasKO [112]2 years ago
3 0

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

  • The amount in the account at the end of 6 quarters is approximately <u>$16,767.2</u>

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

Learn more about compounding interest rate here:

brainly.com/question/8806008

You might be interested in
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
Taya2010 [7]

Answer:

75081

Step-by-step explanation: multiply 80950 by 0.9275

5 0
2 years ago
When solving an equation in the form ax^2=c by taking square roots, how many solutions will there be?
sergij07 [2.7K]
I think there would be two soulutions. ax^2 and c^2. Hope it's right. sorry if it is not. But hope it is and hope it helps.
7 0
3 years ago
Each pound of food C contains 6 ounces of ingredient P and 3 ounces of ingredient Q. Each pound of food D contains 4.5 ounces of
GuDViN [60]
So hmm the food C = 6p + 3q  and the food D = 4.5p + 1.5q

now, if we check how much is the ratios of C/D for each component, then, mixture M = 144p + 60q, must contain the same ratio for each "p" and "q" component

\bf \textit{ratio of "p"}\implies \cfrac{6}{4.5}\implies \cfrac{4}{3}&#10;\\\\\\&#10;\textit{ratio of "q"}\implies \cfrac{3}{1.5}\implies \cfrac{2}{1}

so, if we divide the 144p by 4+3, or 7 even pieces, 4 must belong to food C and 3 to food D, retaining the ratio of 4/3

and we do the same for 60q, we divide it in 2+1 or 3 even pieces, but that one is very clear, 2 must belong to food C and 1 to food D, 60/3 is clear ends up with a ratio of 40 and 20

now the "p" part... ends up as \bf \cfrac{144}{7}\cdot 4\qquad and\qquad \cfrac{144}{7}\cdot 3\implies \cfrac{576}{7}\qquad and\qquad \cfrac{432}{7}

that's what I see it, as the ratio of 4/3 and 2/1 being retained in the mixture M
7 0
3 years ago
Oliver uses the greatest common factor and the distributive property to rewrite this sum:
dalvyx [7]
The greatest common factor of 64 and 96 is 32, so, the first step after finding the great common factor is convert and rewrite "64 + 96" into distributive property. 

You should get 32(2 + 3)
7 0
2 years ago
tres cajas contienen cuatrocientas naranjas la primera tiene veinte naranjas mas q la segunda y treinta mas q la tercera cuantas
Lemur [1.5K]

Answer: Box3 has 120 oranges.

Box1 has 150 oranges.

Box  has 130 oranges.

Step-by-step explanation:

I will answer this in English.

The question says:

3 boxes have 400 oranges.

The first one has 20 more than the second and 30 more than the third.

So we have 3 equations:

box1 + box2 + box3 = 400

box1 = box2 + 20

box1 = box3 + 30

Now, we can take the variable box1 in the third equation and replace it on the other two.

box3 + 30 + box2 + box3 = 400

box3 + 30 = box2 + 20

Now we can isolate one of the variables in the second equation, let's isolate box2.

box2 = box3 + 30 - 20 = box3 + 10

now we can replace it in the other equation:

box3 + 30 + box2 + box3 = 400

box3 + 30 + box3 + 10 + box3 = 400

3*box3 + 40 = 400

3*box3 = 400 - 40 = 360

box3 = 360/3 = 120.

Box3 has 120 oranges.

Box1 has 120 + 30 = 150 oranges.

Box  has 150 - 20 = 130 oranges.

5 0
3 years ago
Other questions:
  • Solve the following equation for y.
    13·2 answers
  • What is the length of the diagonal of a cube of 4 inches
    13·1 answer
  • The rectangles garden is 25ft by 15ft what is the area of the garden ?
    10·1 answer
  • Suns the value of m, rounded to the nearest tenth
    13·1 answer
  • One tank is filling at at a rate of 3/4 gallon per 2/3 minutes. A second tank is filling at a rate of 5/8 gallon per 1/2 minutes
    7·2 answers
  • the diameter of Earth's moon is on average 3.8 x 10^8m. Use the formula A=4π² to find the approximate surface area. (Use 3.14 fo
    5·1 answer
  • Cooper opened a savings account with $800 that pays no interest. He deposits an
    7·1 answer
  • Can someone help me answer this?
    13·2 answers
  • Hello there
    12·2 answers
  • Determine if the sides are greater than (&gt;), less than (&lt;), or equal (=) to each other.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!