Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
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Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?

Answers

Answer 1

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.


Related Questions

24% of what number is 16.08

Answers

Answer:

67

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

16.08*100/24 is the formula

Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four are girls, and six are boys. Five names are chosen.
What is the probability that three girls and two boys are chosen?

1.90%
350%
7.14%
23.81%

Answers

Answer:

23.81%

Step-by-step explanation:

The total number of ways to select 5 out of 10 will be;

10 C 5 = 252

The number of ways of selecting 2 boys out of 6 will be

6 C 2 = 15 ways

The number of ways of selecting 3 girls out of 4 will be

4 C 3 = 4 ways

The probability of both will be;

(4 * 15)/252 = 60/252 = 0.238095238095

To the nearest percentage, that will be 23.81%

A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability that a person in this population is a teenager? What is the probability of selecting a participant older than 30? What is the probability of selecting a participant who is at least 20 years old?

Answers

Answer:

1)0

2)3/8

Step-by-step explanation:

2)total number of participants who are at least 20 years old = 3

Total number of participants= 8

which is greater -13 or -16?

Answers

Answer:

-13

Step-by-step explanation:

How do Sasa’s film techniques relate to the content and mood of this excerpt?

Answers

Answer:

its a.

Step-by-step explanation:

i took the quiz.

Answer:A

Step-by-step explanation:I DID THE QUIZ

6 blue slabs have a mean weight of 7 kg. 3 yellow slabs have a mean weight of 5 kg. 1 grey slab has a mean weight of 9kg. work out the mean of 10 slabs

Answers

Answer: 6.6kg

Step-by-step explanation:

6 blue slabs have a mean weight of 7 kg. The total weight of the 6 blue slabs will be:

= 6 × 7kg

= 42 kg

3 yellow slabs have a mean weight of 5 kg. The total weight of the 3 yellow slabs will be:

= 3 × 5kg

= 15kg

1 grey slab has a mean weight of 9kg.

To get the mean of the 10 slabs, we add their total weights together and divide by 10. This will be:

= (42kg + 15kg + 9kg)/10

= 66kg/10

= 6.6kg

Based on the information given the mean of 10 slabs is 6.6 kg.

Formulate

(9+5×3+6×7)/10

Calculate the quotient

9+15+6×7/10

9+15+42/10

Calculate the sum or difference

24+42/10

66/10

Reduce the fraction

33/5

Hence:

Mean=6.6 kg

Inconclusion  the mean of 10 slabs is 6.6 kg.

Learn more here: https://brainly.com/question/13964566

What is the answer to this question?
91
X51

Answers

Answer:

4,641

Step-by-step explanation:

Answer: it would be 4641

Step-by-step explanation:

Because when you multiply 91 and 51 that’s the answer you get

Jackson is riding his bike in a 150 mile race. If he wants to keep the same pace for the first five hours then go as fast as he can the last 20 miles. How many miles should he travel in the first hour of his race?

Possible answers:
A. 18 miles
B. 22 miles
C. 24 miles
D. 26 miles

Answers

I think A or B I’m so sorry if this is wrong

Answer:

Step-by-step explanation:

It is b

Evaluate the expression 8n for n = 1 5/12

Answers

Answer

8n=34/3

Step-by-step explanation:

1 5/12=17/12

17/12*8/1=136/12=34/3

6. Just because a diet is popular does not mean it is safe and effective. True False

HELP FAST!
Not really math its PE

Answers

Answer:

true

Step-by-step explanation:

the answer is true hope this helps

Bryant collected 2 pounds of newspaper for the recycling drive. Luther collected 3 7/8 times as much newspaper as Bryant. How many pounds of newspaper did Luther collect?

Answers

Answer:

Luther collected 7.75 pounds of newspaper

Step-by-step explanation:

2 times 3.875

7.75

are 3 6 9 12 15 and 18 a related function

Answers

yeah bc they all share 3
Yes, they are shared the number 3!

How could i improve my math skills? i'm so freaking bad at math i've been in a f for over a month and don't remember anything i've learned over the years. i'm in 10th grade and feel like imma fail or have to dropout of school to be a failure at life. >:(
how can i get better b4 i get kicked outta my homeschool and put into brick and mortar and get the 'rona.

Answers

Flash cards to study

You have $40 to spend on coffee and tea. Graph the equation 8x+4y=40 , where x is the number of bags of coffee and y is the number of boxes of tea. Then find the maximum number of bags of coffee you can buy.

Answers

It do be 5 gimme Brainlyest

BEST ANSWER WILL BE MARKED BRAINIEST
Are same side interior angles complementary or supplementary?
Are same side exterior angles complementary or supplementary

Answers

Answer:

Side interior angles are most definitely supplementary

Step-by-step explanation: I'm pretty sure that other guy just guessed

Given the function f(x) = 3x + 2, and g(x) = -x + 10, find the value of x for which f(x) = g(x).

Answers

Answer:2 I thinkkk

Step-by-step explanation:

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

answer to question below

Answers

what is the flat rate for shipping? it would be 13n and then + or - the number given (flat rate for shipping)
hope this helped :)

Answer:

13n+20

Step-by-step explanation:

Each book costs $13 with a flat rate of $20

You pay $13 for each book, which will be n. And aside from that you also pay for shipping, which will be another $20

So the correct answer is: 13n+20

Carter bought 0.1 pounds of peanuts and 0.2 pounds of raisins. How many pounds of snacks did he buy in all?

Answers

Answer:

0.3 lbs

0.1 + 0.2 =0.3

you're welcome

Answer:

Carter got 0.3 pounds of snacks

I just need help with the graphing the rest of them are all drop downs lol​

Answers

Begin by putting a point on -2 on the y axis. Next, repeat going up 3 and 1 to the right.

1. -1 + 2

2. 1 + (-2)

3. -1 - 2
-
4. 1 - (-2)

Answers

Answer:

1. 1

2. - 1

3. - 3

4. 3

Is the answer.
1.) 1
2.) -1
3.) -3
4.) 3

what is the 289345.29 x 13.4

Answers

3,877,226.886

that the answer

PLZZZZZ HELP I WILL GIVE BRAINLEST POINTS AND EXTRA POINTS
1. Identify each of the following situations or equations as proportional or non-proportional and explain your reasoning.

(a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150
application fee.
(b) y =3/4x
(c) y=1/2x - 6

Answers

Answer:

a. Non proportional

b. Proportional

c. Non proportional

Step-by-step explanation:

Here, we want to determine if each situation is proportional or not

a) Non-proportional

This is because the amount y paid in a month will be;

y = 1400x + 150

Since the amount paid is not solely dependent on the number of months, then we do not have a proportional relationship

b) proportional

y = 3/4x

The value of y is dependent solely on that of x, so the relationship is proportional

c) non proportional

Since the value of y is not solely entirely dependent on x value, then the relationship is not proportional

The listed price of a refrigerator is $ 9700. If a sales tax of 6% is charged from the buyer, find the selling
price of the refrigerator,
the dollar

Answers

Answer:

$10,282.00

Step-by-step explanation:

0.06x9700=582

582+9700=10,282

Answer: $582 is a sales tax of 6% and 9700 is the total price with it

Step-by-step explanation:

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.​

Answers

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.

what is the slope of (12,22) (-20,19)

Answers

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

Nicole deposits $300 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years

Answers

Answer:

the answer is 45%

y-step explanation:

if not sorry :(

This is really head to so try yo best

Answers

???

soooo..........whats ur question

What percent of 25 is 5?
How do you know your answer is correct?

Answers

Answer:

20%

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Convert fraction (ratio) 5 / 25

(4.076 x 10^4) + (3.2 x 10^4)

Answers

Answer:

72760

Step-by-step explanation:

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