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3 years ago

What percent increase between 80 and 110

Mathematics

2 answers:

lianna [129]3 years ago

7 0

Answer:

37.5%

Step-by-step explanation:

Dennis_Churaev [7]3 years ago

5 0

Answer:

37.5 percent

Step-by-step explanation:

Where: 80 is the old value and 110 is the new value. In this case we have a positive change (increase) of 37.5 percent because the new value is smaller than the old value.

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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.

il63 [147K]

The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

= 10 [ 7.7 + 19 x 0.25 ]

= 10 [ 7.7 + 4.75 ]

= 10 x 12.45

= 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

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8 0

1 year ago

Use the substitution method to solve the system of equations.

Murrr4er [49]

Answer:

D. (1/4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

Substitute in y: 4x - (-8x) = 3
Simplify: 4x + 8x = 3
Combine like terms: 12x = 3
Isolate x: x = 3/12
Simplify: x = 1/4

Step 3: Solve for y

Define equation: y = -8x
Substitute in x: y = -8(1/4)
Multiply: y = -2

8 0

3 years ago

What is the distance between the points (-4,2) and (3,-5)

34kurt

Answer:

7√2 units

Step-by-step explanation:

The distance between two points having coordinates (x1, y1) and (x2, y2) is given by,

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

Here, x1=-4 and y1=2

x2=3 and y2=-5

$\sqrt{ {(3 - ( - 4))}^{2} + {( - 5 - 2)}^{2} }$

$\sqrt{ {(3 + 4)}^{2} + {( - 7)}^{2} }$

$\sqrt{ {(7)}^{2} + {( - 7)}^{2} }$

$\sqrt{49 + 49} = 7 \sqrt{2}$

6 0

4 years ago

Read 2 more answers

You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a

Lady_Fox [76]

<h2>○=> Correct option :</h2>

$\color{plum} \bold{ \tt \: \bold{C. \$20,652.00}}$

<h3>○=> Steps to derive correct option :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

$= \tt \frac{8.3}{10 \times 100} \times 1900$

$= \tt \frac{8.3 \times 19000}{1000}$

$= \tt \frac{1577000}{1000}$

$\color{plum} = \tt \$1577$

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

$= \tt19000 + 1577 + 75$

$\color{plum} = \tt \$20652$

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is (C) $20,652.00

6 0

3 years ago

Please help 9, 5, and 10!

bulgar [2K]

Answer:

It wont let me access it

Step-by-step explanation:

4 0

3 years ago