How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)

Answers

Answer 1

Answer:

757,576cents

Step-by-step explanation:

Given

Amount = $10000

Time = 4years

Rate = 8%

n = 1/4 year (compounded quarterly

Using the formula to get the principal

A = P(1+r/n)^nt

10000 = P(1+0.08/0.25)^4(1/4)

10000 = P(1+0.32)

10000= 1.32P

P = 10000/1.32

P = 7575.76

Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents


Related Questions

Plzzzz help it’s a test
Devan has 4 liters of milk. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement
is closest to the number of fluid Ounces in 4 liters?
A) 135 oz
B) 115 fl oz
C) 147 fl oz
D) 34 fl oz

Answers

Answer:

Step-by-step explanation:

The answer is B

The reason for this is all you have to do is multiply 29.4 x 4 and you get 118.4 and round it to get 115 fl oz

✨Hope it helps✨

Brainliest?...

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? (1 point)

n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers


it would be n = 1/2

Answer:

n = 1/2

Step-by-step explanation:

Brainliest?!

Someone help
What is 3.5=12s-55

Answers

Answer:

4.875 = s

Step-by-step explanation:

3.5=12s-55

Add 55 to each side

3.5+55=12s-55+55

58.5 = 12s

Divide each side by 12

58.5/12 = 12s/12

4.875 = s

Answer:

s = 4.875

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3.5 = 12s - 55

Step 2: Solve for s

Add 55 to both sides:                    58.5 = 12sDivide 12 on both sides:                4.875 = sRewrite:                                           s = 4.875

Step 3: Check

Plug in s into the original equation to verify it's a solution.

Substitute in s:                    3.5 = 12(4.875) - 55Multiply:                               3.5 = 58.5 - 55Subtract:                              3.5 = 3.5

Here we see that 3.5 does indeed equal 3.5.

∴ s = 4.875 is a solution of the equation.

VOTING In a recent school election, 208
of the 325 freshmen voted in their
class election. Write the fraction of
freshmen who voted. Then write the
fraction as a decimal.

Answers

Answer:

208/325

0.64

Step-by-step explanation:

Write the fraction as the number that voted on top of the number of total freshmen

For the decimal, divide 208 by 325. (This also gives you the decimal)

The fraction is 16/25. The fraction as a decimal is 0.64

Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel, how many buses does the transit system have?

Answers

9514 1404 393

Answer:

  2214 buses

Step-by-step explanation:

Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.

  total = 3·738 = 2214

The transit system has 2214 buses.

two angles are complementary they also have the same measurements which statements below are correct ​

Answers

The first both angles measure 45 degrees




Step by step explanation:


Complementary angles are angles that add up to 90 degrees and it said they both are equal which means both of them have to be half of the 90 degrees and half of 90 is 45 so 45 degrees

1
2
3
X
Numedaya
cling magazine
Number of
megnes sold
a
12
15
21
Tom sold magazines for 4 days last week. The table above gives the total number of magazines Tom had
sold for the week at the end of each of the 4 days. Which of the following best models the relationship
between the total number M of magazines Tom sold and the number x of days selling?
O M(x)=x+4
O M(x)= 1.5x +4
20 M(x)= 4x + 4
> M(x)= 6x+4

Answers

Answer:

C. [tex] M(x) = 4x + 4 [/tex]

Step-by-step explanation:

Find the rate of change/slope (m) using two pairs (1, 8) and (2, 12):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4 [/tex]

(Note: M(x) = y)

Find y-intercept (b) by substituting x = 1, M(x) = 8, and m = 4 in M(x) = mx + b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

b = 4

substitute m = 4, and b = 4 in M(x) = mx + b, to get the equation that models the relationship.

The equation would be:

✅ [tex] M(x) = 4x + 4 [/tex]

2x + 7 + 5x = 7 ( x + 8) how many solutions?

Answers

Answer:

no solution

Step-by-step explanation:

what is the product 49 x0.7

Answers

The answer is 34.3 can I get crown so I will have a rank

Dwayne bought 11 shirts for the members of a club. He paid $7 for 10 shirts and $10 for 1 shirt. He also paid a one-time fee of $60 and $4 to embroider the club name on each shirt. Which expression could be used to determine how much he paid altogether for the 11 shirts?

Answers

Answer:

T = (7 * 10) + 10 + 60 + (4 * 11)

Step-by-step explanation:

The expression that can be used to determine the total cost would be the following ...

T = (7 * 10) + 10 + 60 + (4 * 11)

This expression sums up the cost of each shirt, the one-time fee, and the embroidery costs. Since 10 of the shirts cost $7 each then you need to multiply the cost by the number of shirts that cost that amount. The same goes for embroidery. Since there are a total of 11 shirts and each one costs $4 to embroider then you do 4 * 11

Explain the error in the work and how you might prevent it

Answers

Answer:

The error is  -12x² - 14x = - 26x² because 12x² and 14x are unlike terms, so we can not add them

To prevent it the dividend must be written as 6x³ + 0x² - 14x + 1

Step-by-step explanation:

In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.

Example:

If the dividend is 3x³ - 2x + 5, then you must write it as 3x³ + 0x² - 2x + 5

Let us solve our question

∵ The dividend is 6x³ + 1 - 14x

→ You must arrange it from the greatest power of x

∴ The dividend is 6x³ - 14x + 1

∵ The term of x² is missing

→ Write it in the dividend with a coefficient of 0

∴ The dividend is 6x³ + 0x² - 14x + 1

The error is the adding of unlike terms

∵ 6x³ - 14x + 1 ÷ 3x + 6 = 2x² and [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)]

∵ [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)] = 6x³ - 14x + 1 - 6x³ - 12x²

∵ 6x³ - 14x + 1 - 6x³ - 12x² = 0 - 12x² - 14x + 1

∵ 0 - 12x² - 14x + 1 = -26x² + 1 ⇒ error

∴ The error is  -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,

   so we can not add them

→ To prevent it, write 0 as a coefficient of the missing term

∵ The missing term is the term of x²

∴ Add to the dividend the term 0x²

The dividend must be written as 6x³ + 0x² - 14x + 1

Answer:

-14x and 12x² are not like terms, so they can’t be subtracted.

To prevent this error, be sure to line up like terms

Step-by-step explanation:

just did it

How do you factor 5x+10y+30z

Answers

Answer:

5(x+2y+6z)

Step-by-step explanation:

Answer:

5(x+2y+6z)

Step-by-step explanation:

Factor out 5 from the expression

URGENT!! I have 12 minutes left!!
Question: Which words have horizontal reflection symmetry? Select all that apply.
A. MOM
B. BOB
C. BIB
D. TOOT

Answers

Answer:

c

Step-by-step explanation:

Answer:

MOM

TOOT

Step-by-step explanation:

On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?

Answers

Answer:

66

Step-by-step explanation:

Answer:

2 games were bowled per day

Step-by-step explanation:

Saturday:  Shoes: $3 : Game: $4.50

Sunday: Shoes: $6 : Game $3

Saturday: total for 1 game: $7.50 .... 2 games: 12

Sunday: total for 1 game: 9 .... 2 games 12

Both days you bowled two games

A race car travels 276 feet each second. How many yards does the race car travel in 5 seconds if it maintains that speed?

Answers

Answer:

460 yards

Step-by-step explanation:

3 feet are in a yard so 276 feet / 1 second * 1 yard / 3 feet=92 yards per second

92 * 5 = 460 yards

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can travel 3 miles in 60 minutes.

The man can travel 1 mile in 20 minutes.

We have,

A car travels 276 feet each second.

This can be written as:

276 feet = 1 second

Multiply both sides by 5 we get,

5 x 276 feet = 5 x 1 second

1380 feet = 5 second ____(1)

1 yard = 3 feet

Multiply both sides by 460.

460 x 1 yard = 460 x 3 feet

460 yard = 1380 feet ____(1)

From (1) and (2) we get,

460 yard = 5 seconds

Thus,

If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ5


[tex]6 \div 3 + {9}^{2} - 4[/tex]
evaluate the following expression​

Answers

If you are using pemdas then it is 79

Solve 6 (7 + 9x) - 21 = 129 please solve this!

Answers

Answer: I would suppose 2.

What is the slope of the line containing (-3, 1) and (1, -2)?
4
O A. -
O B.
o
c.
im
O
4
-

Answers

Answer:

[tex] \huge \orange{ - \frac{3}{4} } \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 2 - 1}{1 - - 3} = \frac{ - 3}{1 + 3} = \frac{ - 3}{4} = - \frac{3}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{3}{4} \\ [/tex]

Hope this helps you

What's on your Christmas List? Santas Listening~

Answers

Answer:

1. My gf with me ;)

2. Ps5

Step-by-step explanation:

THERE :)

Answer:

VR Headset

Neon Nail Polish

New Blankie

Money for a laptop (I almost have enough!)

Step-by-step explanation:

Bc y not

the number of blueberry muffins that a baker makes each day is 40% of the total muffins she made

Answers

Answer:

Number of muffins baked x .4 = number of muffins baked by that person

Step-by-step explanation:

You live in a small town where the population is currently 5000 people.
However, the population is increasing by 20% each year. What will the
population be in the year 2035 if it continues to grow at that rate? Round to
the nearest person. (Hint: It will be 2035 in 15 years.] *

Answers

Answer:

The population of each year is,

20/100 * 5000 = 1000

The population of 15 years is,

1000 * 15 = 15000

The total of 15 plus the 5000 years is,

15000 + 5000 = 20000

Thank you and please rate me as brainliest as it will help me to level up

Solve for p 6p-8n=12

Answers

Answer:

i need more information

Step-by-step explanation:

P=2+4n/3 is the correct answer to the question.

Tina purchased 3. lbs. of apples and Joe purchased 11 lbs. of apples What is the difference in the amount of apples Tina and Joe purchased?​

Answers

Answer:All we need to do is add.

5 + 2 = 7

Therefore, Joe has 7 apples.

best of luck

2 after a long morning of sledding, Mrs.Fieldhouse made a batch of hot cocoa for her daughter and neighborhood friends. She divided it among 8 mugs. Each mug has more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation

Answers

Answer:

[tex]\frac{x}{8}>9[/tex]

Step-by-step explanation:

step one:

given

we can say that the total amount of cocoa made by Mrs.Fieldhouse is

x ounces

Step two:

Since the total batch which is x ounces was divided into 8 mugs

then the expression is x/8

The inequality for the situation is

[tex]\frac{x}{8}>9[/tex]

Describe the end behavior of the following function f(x)=-7x^3+2x-4

Answers

Answer:

(0,-4)

Step-by-step explanation:

The owner of a discount clothing store ordered six belts and eight hats for $140. A
week later, at the same prices, he bought nine belts and six hats for $132. Find the
price of a belt and a hat.

Answers

Let b = the price of the belt
h = the price of the hat
Equation 1
6b + 8h = 140
Equation 2
9b + 6h = 132
Multiply equation 1 by 1.5
1.5(6b + 8h = 140)
9b +12h = 210
Subtract by equation 2
9b-9b +12h-6h = 210-132
6h = 78
h = 13
Substitute h = 13 in equation 1
6b + 8*13 = 140
6b = 140 - 104
6b = 36
b = 6
The price of the hat is $13.00 each
The price of the belt is $6.00 each

What’s the temperature after t minutes plssss helppp

Answers

Answer:

what does T equal

Step-by-step explanation:

what is 6.4r-7-2.9r simplified

Answers

Answer:

3.5r - 7

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define

6.4r - 7 - 2.9r

Step 2: Simplify

Combine like terms:                    3.5r - 7

And we have our final answer!

The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 3 in. What are actual dimensions of the kitchen

A 41ft by 6 ft

B 15ft by 6 ft

C 15ft by 18 ft

D 7.5 ft by 18 ft
Explanation is required

Answers

D because it’s division

An arctic woolly-bear caterpillar lives for 7 years and spends 90% of its life frozen. How many days of its life is the arctic woolly-bear frozen? Round to the nearest whole day.

Answers

Answer:

2,300 days are without activities

Step-by-step explanation:

We start by calculating the number of days in 7 years

Mathematically, that would be 7 * 2,555

From the question, 90% of days are without activities

The number of days without activities will be;

90/100 * 2,555 = 2,299.5 which is approximately 2,300 days

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