you deposit 2000 in an account earning 3% interest compounded monthly.
a. how much will you have in the account in 20 years
b. how much interest will you earn

answer 41x

Step-by-step

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Answer:

9:4

Step-by-step explanation:

Answer:

≈ -0.0005

Step-by-step explanation:

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

Answer:

suree.

Step-by-step explanation:

Answer:

x=18°

Step-by-step explanation:

5x-18=4x

subtract 4x from both sides

x-18=0

add 18 to both sides

x=18°

Answer:

33-11

48-26

Alice’s age (a) = Martha’s age (m) + 22

Step-by-step explanation:

In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

To make sure we are correct we would do another problem.

37 - 15 = 22

So in order to find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

Same when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which would be 22.

Answer: 11 and 26

Step-by-step explanation:

hope this helps :)

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

Answer:

$56.16

Step-by-step explanation:

To find the sale price, multiply the original price by 0.75:

74.88(0.75)

= 56.16

So, the sale price is $56.16

Answer:

72 square feet not covered

Step-by-step explanation:

100%-40% = 60%

60% of 120 = 0.6x120 = 72

Answer:

72

Step-by-step explanation:

because i know

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7

Answer:

You want to buy long pieces of paper at Dollar Tree for 66 cents. You have $12. How many long pieces of paper can you buy

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

The carnival offers two magic shows

The morning show is for 20 mintes at $3.75

= 3.75/20

= 0.1875

The afternoon show is for 35 minutes at $5.25

= 5.25/35

= 0.15

Hence you pay a lesser amount for 35 minutes

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Option D is true.

What is Vertical angles?

When the two lines are crosses to each other at a point then the vertical angles are formed.

Given that;

∠1 and ∠2 are formed between two lines which crosses at a point.

Now,

The two lines are vertical lines which passes through a point and ∠1 and ∠2 are formed between them.

So, By definition of Vertical Angles;

∠1 ≅ ∠2

Therefore,

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Learn more about the vertical angles visit:

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you are x

three times is 3x

2 years older is 3x + 2

Answer:

3x+2

Step-by-step explanation:

3 times x plus 2 since he's 2 years older than that

Answer:

20 hours

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

We know that 25% is 1/4 of the time. So 5 hours would be multiplied by 4, which is the reciprocal of 1/4.

5 x 4 = 20, so that's your answer. I hope I helped :)

Answer:

31/2 d nada xdddddddddddddddddddddddddddd

Answer:

c. Playing violent video games is associated with more aggressive behavior.

Step-by-step explanation:

This question is solved interpreting the text.

The study found that students who reported playing more violent video games engaged in more aggressive behavior.

The conclusion that it leads is that violent video games is associated with more agressive behavior. Keyword is associated, and the correct answer is given by option c.

The conclusion that can you make on the basis of this study is: c. Playing violent video games is associated with more aggressive behavior.

A conclusion refers to the final understanding that can be reached on a matter based on the findings in the study.

The findings from this study indicate that students who were exposed to violent video games had the tendency of becoming more aggressive.

So, we can conclude that violent video games is associated with aggressive behavior.

Learn more about conclusions from studies here:

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Answer:

-14. Aunque podría estar equivocado. Espero poder ayudar

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

Given

[tex]a_n = 2n[/tex]

Required

Prove that [tex]S_n = n(n+1)[/tex]

The given sequence is an arithmetic sequence.

The Sn of this sequence is:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

Calculate a1

[tex]a_n =2n[/tex]

[tex]a_1 =2*1[/tex]

[tex]a_1 =2[/tex]

So, we have:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]

Factor out 2

[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]

[tex]S_n = n(1 + n)[/tex]

[tex]S_n = n(n + 1)[/tex] --- Proved

Answer:

B 2:1

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

15 times 25 equals 375

Answer:

ok bueno dejamr haber que ago

Answer:

2/5 > 1/3

9/20 > 13/30

17/12 < 22/15

Step-by-step explanation:

Encuentra un denominador común. por ejemplo, 2/5 y 1/3 tienen un denominador común de 15. 2/5 se convierte en 6/15 y 1/3 se convierte en 5/15. 6 es mayor que 5. ¡Espero que esto ayude y buena suerte!

Answer:

1065.1

Step-by-step explanation:

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Salary is a compensation or fixed amount of money paid to an employee by an employer in return for work performed.

For the given situation,

Halloween's salary received per hour = $9.10

Halloween's piecework pay per unit = 15 cents

Total work per week = 40 hours

Total unit produced per week = 988 units.

Part a:

1. Halloween's piecework pay = [tex](988)(15)[/tex]

⇒ [tex]14820 cents[/tex]

we know that $1 = 100 cents

⇒ [tex]\$148.20[/tex]

2. Halloween's total hourly pay for the week = [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

3. Halloween's total pay for the week = [tex]364+148.20[/tex]

⇒ [tex]\$512.20[/tex]

Part b:

Halloween's boss offered to pay her a straight $13 per hour and no piecework pay for the week.

Total amount received for the week = [tex](40)(13)[/tex]

⇒ [tex]\$520[/tex]

Difference in pay = [tex]520-512.20[/tex]

⇒ [tex]\$7.80[/tex]

Thus, she earns more when she get the straight salary on hourly basis.

Part c:

If her production is 0 units, then she might get her hourly pay only.

⇒ [tex](40)(9.10)[/tex]

Hence we can conclude that

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Learn more about salary and wages here

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Answer:

2,540 miles

Step-by-step explanation:

The computation of the fewer miles is given below;

For Space explorer B

= 15,000 miles ÷ 5 hours

= 3,000 miles per hour

For space explorer A

y = 4,600 x

That means in one hour it covered 460 miles

So, the fewer miles would be

= 3,000 - 460

= 2,540 miles

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Length times width. 3 is length and width is 5