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mafiozo [28]
3 years ago
14

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it

has an accumulated value of $68,000 at the end of 30 years
Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer: the principal is approximately 23377

Step-by-step explanation:

Let the Initial amount deposited into the account be $x This means that the principal is P = $x

It was compounded quarterly. This means that it was compounded four times in a year. So

n = 4

The rate at which the principal was compounded is 3.575%. So

r = 3.575/100 = 0.03575

It would be compounded for 30 years So

t = 30

The formula for compound interest is

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

A = total amount in the account at the end of t years.

A is given as $68,000

Therefore

68000= x (1+0.03575/4)^4×30

68000= x (1+0.0089375)^120

68000= x (1.0089375)^120

68000 = 2.90878547719x

x = 68000/2.90878547719

x = 23377.4545

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Factor and\or expand the following expression : 3(2x + w)
lutik1710 [3]

Answer:

6x +3w

Step-by-step explanation:

3(2x + w)

Distribute

3*2x +3*w

6x +3w

7 0
3 years ago
Read 2 more answers
Find the two numbers whose sum is 29 and whose difference is 15.
yulyashka [42]

Answer:

a = 22

b = 7

Step-by-step explanation:

Let the two numbers be represented as a and b.

a + b = 29

a - b = 15

Using elimination method

Add both equations

2a = 44

Divide both sides by 2 to get a

2a/2 = 44/2

a = 22

Now substitute a = 22 in any of the equations to get b .

Using the first equation, we have

a + b = 29

22 + b = 29

Subtract 22 from both sides of the equation

22 - 22 + b = 29 - 22

b = 7

Therefore the two numbers are 22 and 7

7 0
3 years ago
Probability of pulling a green marble out of a bag of coloured marble is 2:5 if you were to pull coloured marbles out of the bag
Slav-nsk [51]

Answer: 171 green marbles

Step-by-step explanation: There are 7 total marbles so 100/7 equals 14.28

Then there is a 2 out of 7 total tries so  14.28 * 2 equals 28.57% chance to get a green marble.

600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.

6 0
3 years ago
Work out please what is it
lisov135 [29]

Answer:

answer for 1

5 3/4 - 2 1/4 = 7

2

= 3 1

2

= 3.5

Spelled result in words is seven halfs (or three and one half).

How do you solve fractions step by step?

Conversion a mixed number 5 3

4

to a improper fraction: 5 3/4 = 5 3

4

= 5 · 4 + 3

4

= 20 + 3

4

= 23

4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4

4

= 20

4

b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

Conversion a mixed number 2 1

4

to a improper fraction: 2 1/4 = 2 1

4

= 2 · 4 + 1

4

= 8 + 1

4

= 9

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4

4

= 8

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Subtract: 23

4

- 9

4

= 23 - 9

4

= 14

4

= 2 · 7

2 · 2

= 7

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the next intermediate step , cancel by a common factor of 2 gives 7

2

.

In words - twenty-three quarters minus nine quarters = seven halfs.

Step-by-step explanation:

answer for 27 2/3 + 2 1/5 = 148

15

= 9 13

15

≅ 9.8666667

Spelled result in words is one hundred forty-eight fifteenths (or nine and thirteen fifteenths).

How do you solve fractions step by step?

Conversion a mixed number 7 2

3

to a improper fraction: 7 2/3 = 7 2

3

= 7 · 3 + 2

3

= 21 + 2

3

= 23

3

To find new numerator:

a) Multiply the whole number 7 by the denominator 3. Whole number 7 equally 7 * 3

3

= 21

3

b) Add the answer from previous step 21 to the numerator 2. New numerator is 21 + 2 = 23

c) Write a previous answer (new numerator 23) over the denominator 3.

Seven and two thirds is twenty-three thirds

Conversion a mixed number 2 1

5

to a improper fraction: 2 1/5 = 2 1

5

= 2 · 5 + 1

5

= 10 + 1

5

= 11

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5

5

= 10

5

b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 5.

Two and one fifth is eleven fifths

Add: 23

3

+ 11

5

= 23 · 5

3 · 5

+ 11 · 3

5 · 3

= 115

15

+ 33

15

= 115 + 33

15

= 148

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds plus eleven fifths = one hundred forty-eight fifteenths mark me brainlist if i help

4 0
3 years ago
Which choice shows 1/4 of 8
yulyashka [42]

Answer:

there is no picture so I dont know what i have to do..

5 0
3 years ago
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