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garri49 [273]
3 years ago
15

You invest $5,000 in a savings account that earns 6% interest each year.

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0
A. Multiply $5000 by .06, and add it back to $5000 to get the total after one year. This is $5300.
B. Multiply the new amount, or $5300 by .06, and add it back to $5300 to get the total after 2 years. This is $5618. 

A. $5300
B. $5618
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Simplify<br> (2x-³y⁴)³(x³+y⁰)÷(4xy-²)³​
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

-4x³(-2x³)

8x⁶

(6⁵)/(6⁴)

6

(3x³)³

27x⁹

(9¹²)/(9⁸)

9⁴

(x²)(x³)

x⁵

(x⁴)/(x²)

x²

-x(-x)(x)

x³

(x³y²)/(x³y⁴)

(1)/(y²)

-2x(x²)(-3x)

6x⁴

(9x⁷)/(3x⁶)

3x

3x²(x²)(-6)

-18x⁴

x/(x³)

1/(x²)

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(x⁴)(x³)

x⁷

(12x⁵)/(36x)

x⁴/3

(x⁴y³)/(x⁴y)

y²

(-2x³)(-4x²)

8x⁵

(-3x²)³

-27x⁶

(x³y⁵)/(xy²)

x²y³

2x³(10x)³

2000x⁶

(x⁷y²)/(x⁴y²)

x³

x⁻⁴

1/x⁴

(-21x⁵y²)/(7x⁴y⁵)

-(3x)/y³

3x⁻³

3/x³

(32x³y²z⁵)/(-8xyz²)

-4x²yz³

...

x⁴y⁴

(4x⁷/7y²)²

(16x¹⁴)/(49y⁴)

...

8x³

4⁻⁴

1/(4⁴) or 1/256

...

a⁵

8⁻²

1/(8²) or 1/64

...

2c⁷

x⁻²

1/x²

...

9x²

x⁻³

1/x³

...

a⁴

x⁻⁴

1/x⁴

...

4c⁵

x²y⁻³

(x²)/(y³)

When multiplying monomials with the same base, ___________ the exponents

add

x³y⁻²

(x³)/(y²)

When dividing monomials with the same base, ______________ the exponents

subtract

x²y³z⁻⁴

(x²y³)/(z⁴)

When raising a power to a power, ________________ the exponents

multiply

x²y⁻³z⁴

(x²z⁴)/(y³)

x⁻²y⁻³

1/(x²y³)

A base raised to a zero exponent equals________________

one

(2m²)(2m³)

4m⁵

(x/y)⁻¹

y/x

4r⁻³(2r²)

8÷r

(x²/y²)⁻¹

y²/x²

2x³y⁻³(2x⁻¹y³)

4x²

(x³/y³)⁻¹

y³/x³

2y²(3x)

6y²x

(x/y)⁻²

y²/x²

4a³b²(3a⁻⁴b⁻³)

12÷(ab)

(x²/y²)⁻³

y⁶/x⁶

4r⁰

4

(2/3)⁻²

9/4

(4xy)⁻¹

1÷(4xy)

(4/5)⁻²

25/16

(3/4)⁻²

16/9

(3/4)⁻¹

4/3

(x³/x⁻⁶)

x⁹

(x²/x⁻⁵)

x⁷

x⁰

1

y⁰

1

x²y⁰

x²

x²y³z⁰

x²y³

y⁰

1

100⁰

1

(-99)⁰

1

x⁰(x⁴)(x⁻⁶)

1/x²

(x⁻³)/(x⁴)

1/x⁷

(x⁻⁴)/(x⁵)

1/x⁹

(4x³/2x⁵)⁰

1

(x⁻⁵y⁴)/(z⁻²)

(y⁴z²)/x⁵

(15x⁶y⁻⁹)/(5xy⁻¹¹)

3x⁵y²

(48x⁶y⁷z⁵)/(-6xy⁵z⁶)

-(8x⁵y²)/z

Is it a monomial? 11

Yes; 11 is a real number and an example of a constant.

Is it a monomial? a - b

No; this is the difference, not the product, of two variables.

Is it a monomial? p²/r²

No; this is the quotient, not the product, of two variables.

Is it a monomial? y

Yes; single variables are monomials.

Is it a monomial? j³k

Yes; this is the product of two variables.

Is it a monomial? 2a + 3b

No; this is the sum of two monomials.

Simplify x²(x³)(x⁶)

x¹¹

Simplify x(x²)(x⁷)

x¹⁰

Simplify (y²z)(yz²)

y³z³

Simplify (y²z²)(y³z)

y⁵z³

Simplify (a²b⁴)(a²b⁴)

a⁴b⁸

Simplify (ab²)(a³b²)

a⁴b⁴

Simplify (2x²)(3x⁵)

6x⁷

Simplify (5x⁷)(4x²)

20x⁹

Simplify (4xy³)(3x³y⁵)

12x⁴y⁸

Simplify (7x⁵y²)(x²y³)

7x⁷y⁵

Simplify (-5x³)(3x⁸)

-15x¹¹

Simplify (-2x⁴y)(-4xy)

8x⁵y²

Simplify (10²)³

10⁶ or 1,000,000

Simplify (x³)¹²

x³⁶

Simplify (-6x)²

36x²

(-3x)³

-27x³

(3xy²)²

9x²y⁴

(2x³y⁴)²

4x⁶y⁸

Find the area of a rectangle if the length is x² and the width is x⁵.

x⁷

Find the area of a square if the side length is xy.

x²y²

Find the area of a triangle with base 9x³ and height 4x.

18x⁴

Simplify (-5x²y)(3x⁴)

-15x⁶y

Simplify (2ab²c²)(4a³b²c²)

8a⁴b⁴c⁴

Simplify (3xy⁴)(-2x²)

-6x³y⁴

(4x³y)(-2x⁵)

-8x⁸y

(-15xy⁴)(-xy³)

15x²y⁷

(-xy)³(xz)

-x⁴y³z

(-4x²y)²(-½xy²)

-8x⁵y⁴

(0.2x²y³)²

0.04x⁴y⁶

(½xy³)²

¼x²y⁶

(0.4x³)³

0.064x⁹

[(x²)²]²

x⁸

[(x²)³]⁴

x²⁴

Find the area of a rectangle whose length is 6x²y⁴ and width is 3xy²

18x³y⁶

Find the area of a triangle whose base is 4x²y and height is 6xy³

12x³y⁴

Find the volume of a cube whose side length is 3x².

27x⁶

Find the volume of a rectangular prism whose side lengths are x³y, xy³, and y.

x⁴y⁵

5 0
2 years ago
Plz answer the following file attached
Finger [1]

Answer:

i like how to tell us to answer something with no file

Step-by-step explanation:

6 0
2 years ago
Type the correct answer in each box. Use numerals instead of words.
Alex_Xolod [135]

Answer:


Step-by-step explanation:

Given that prices for a pair of shoes lie in the interval

[80,180] dollars.

Delivery fee 20% of price.  

i.e. delivery fee will be in the interval [4, 9]

(1/20th of price)

Total cost= price of shoedelivery cost

Hence f(c) = c+c/20 = 21c/20

The domain of this function would be c lying between 80 to 180

So domain =[80,180]

---------------------------------

Amount to be repaid = 42 dollars

Once he received this amount, the price would be

105+42 =147

But since price range is only [21*80/20, 21*180/20]

=[84, 189]

Since now Albert has 147 dollars, he can afford is

[80,147]




6 0
3 years ago
Read 2 more answers
Please help not sure if baby has any correct ​
Elodia [21]
So I think maybe the example for the first problem created some confusion, and you may want to have your child take another look.

If we numbered the top half 1 to 9 going from left to right, numbers 1, 2, 6, 7 and 8 are right. They worked because the top number (numerator) perfectly fit into the bottom number (denominator). This is not true for the rest.

The key is to find the largest number that you can think of that will go into BOTH the top and the bottom evenly.

So for number 3: 18/24; 18 does not fit evenly into 24. The highest number that will fit into both is 6, so you divide both top and bottom by 6 and your answer is 3/4.

Number 4: 45/54; the highest number that goes into both is 9, so you divide both top and bottom by 9 and your answer is 5/6.

Number 5: 55/66; the highest number that can go into both is 11, so the answer is 5/6.

Is this making sense?

The bottom, numbering 1 to 9 from left to right. The correct ones are 1, 6 and 9.

For 2: 14/41 is about 15/40. Both can be divided by 5, so the answer is 3/8.

For 3: 20/81 is about 20/80, and 2/8 is close, but can still be divided by 2, so the answer is 1/4.

For 4: 24/49 is closer to 25/50 than 20/50. 25/50 can be divided by 25, so the answer is 1/2.

For 5: it was all correct, but the answer can be further reduced from 2/8 to 1/4.

For 7: 23/72 is about 25/75, and 25 goes into both, so it reduces to 1/3.

For 8: 13/21 is about 15/20, and 5 goes into both, so the answer is 3/4.

As your child continues to learn this, remember that if he or she gets an answer like 2/6 or 6/12, they should ask themselves if they can further reduce the fractions- 2/6 reduces to 1/3, and 6/12reduces to 1/2. I know it's confusing, but they do get the hang of it with practice
5 0
3 years ago
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