MATHEMATICS HIGH SCHOOL

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021

Answers

Answer 1
Answer:

The approximate value of the land in 2021 will be $588,394.356.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Value of the land in 1960 = $30,000

Each year, the value is increasing approximately 5 % = 5/100 = 0.05.

Value of the land in 1961 = 30,000 + (30,000 × 0.05)

                                         = 30,000 (1 + 0.05)

                                         = 30,000 × 1.05

Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)

                                          = (30,000 × 1.05) (1 + 0.05)

                                          =  (30,000 × 1.05) (1.05)

                                          = 30,000 × (1.05)²

So each year previous value is multiplied with 1.05.

Value of the land after n years = 30,000 × (1.05)ⁿ

Value of the land after 61 years = 30,000 × (1.05)⁶¹

                                                     = 588,394.356

Hence the approximate value of the land in 2021 is $588,394.356.

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Answer 2
Answer:

Answer:

$91,500

Step-by-step explanation:

The land appreciates 5% of 30k which is $1,500 and multiply that by 61

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10. The ratio of red marbles to purple marbles is 3:8. If there are 44marbles, how many purple marbles are there? *

Answers

Answer:

32 purple marbles.

Step-by-step explanation:

Turn 3:8 into 3x+8x.

Equation:

3x+8x=44

x=4

Now, refer back to 3x:8x. We know that x=4, so 4*8=32.

32 purple marbles.

Answer:

There are 32 purple marbles and 12 red marbles

Step-by-step explanation:

The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...

3x+8x=44

11x=44

x=4

We need to know the number of purple marbles so we do,

8*4=32

How many 1/10 are in 3?

Answers

There are 30, 1/10's in 3.

What is Fraction?

Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.

  • The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.
  • The numerator specifies how many fractionalparts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.

We have to find number of 1/10's in 3.

Then, 3 x 10 / 1

= 3 x 10

= 30

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there are 30 
1/10=o.1
and 3/0.1 = 30

Which statement defines the term markup?the extra amount added to the selling price to arrive at the cost price
the extra amount added to the cost price to arrive at the selling price
the extra amount added to the marginal cost to arrive at the selling price

Answers

In retail, a markup is a ratio. It is the extra amount added to the cost price to arrive at the selling price. Markup is generally expressed as a percentage, while the cost is a whole number.

Answer: Second option is correct.

Step-by-step explanation:

Markup is the extra amount added to the cost price to arrive at the selling price.

As in retail market , cost price is always marked up by the retailers to make some profit and cover overhead expenses.

So, Markup is that amount that is added to the cost price.

Discount is also given to that amount only, to increase his goodwill.

Hence, Second option is correct.

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is perpendicular to both sidelines. What can be said about the relationship of the sidelines? Justify your answer. a. The sidelines are perpendicular to each other by the definition of the Transitive Property.

b. The sidelines are parallel by the Same-Side Interior Angles Theorem.

c. The sidelines are perpendicular by the Perpendicular Transversal Theorem

d. The sidelines are parallel because they are perpendicular to the same line.

Answers

The true statement about the sidelines would be that they are parallel because they are both perpendicular to each of the boldly marked line.

  • If the sidelines are perpendicular, then the boldly marked lines, then the boldly marked lines cannot be perpendicular to both sidelines

  • The fact that all the boldly marked lines forms a perpendicular line with both sidelines, then it is a must that both sidelines are perpendicular.

Therefore, since the sidelines are perpendicular to the same set of lines, then the sidelines would be parallel.

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The sidelines are parallel to one another, because
they are perpendicular to the same line.

The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is, d = 0.123456789101112 . . . . What is the 100th digit of d to the right of the decimal point?

Answers

Answer:

2

Step-by-step explanation:

We are given that a decimal number  d

d=0.12345678...

Where d is formed by writing in succession all the positive integers in increasing order after decimal point.

We have to find the 100th digit of d to the right of the decimal point.

Place of first digit 1 after decimal=Tenth

Place of second digit 2 after decimal=Hundredth

Place of third digit  3 after decimal=Thousandth

Therefore, 100th digit of d to the right of the decimal point=2

After making a deposit, puja had $264 in her savings account. She noticed that if she added $26 to the amount originally in the account and doubled the sum, she would get the new amount. How much did she have in the account?

Answers

Most people have issues with word problems because they do not go through the words in the question very minutely. It is of immense importance to go through all the data that has been provided in the question.
Let us assume the original amount that Puja had in her account = x dollars
Then from the details already given in the question, we can arrive at the equation
x + 26 + x + 26 = 264
2x + 52 = 264
2x = 264 - 52
2x = 212
x = 212/2
   = 106
From the above deduction we can conclude that the amount Puja originally had in her account was $106. I hope the procedure is clear enough for you to understand.

Answer: $106.00 in the account
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