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3 years ago

Change each percent to a decimal or a mixed decimal 43%2 1/2%13.6%521%

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

Step-by-step explanation:

43%=43/100

21/2%=1050

13.6%=136/100

521%=521/100

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The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?

lutik1710 [3]

Answer:

$Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\$

$=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000$

Therefore original price = $580,000

3 0

3 years ago

What are the solutions of x^2 - 2x + 10 = 0?

dybincka [34]

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Substitute [Quad Formula]: $x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}$
Exponents: $x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}$
Multiply: $x=\frac{2\pm\sqrt{4-40} }{2}$
Subtract: $x=\frac{2\pm\sqrt{-36} }{2}$
Factor: $x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}$
Simplify: $x=\frac{2\pm6i }{2}$
Factor: $x=\frac{2(1\pm3i) }{2}$
Divide: $x=1\pm3i$

5 0

3 years ago

Find two numbers if their sum is 91 and the ratio is 6:7.

sammy [17]

Answer:

42:49

Step-by-step explanation:

6x + 7x = 91

13x = 91

x = 7

6 x 7 = 42

7 x 7 = 49

then 42:49

5 0

4 years ago

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Viola drives 2 kilometers up a hill that makes an angle of 9 with the horizontal. To the nearest tenth of a kilometer, what hori

Elenna [48]

cosine ( CAH) = Adjacent/ hypothenus

cos9 = x/ 2

let x represent the horizontal distance

2 cos 9 = x

x = 2 (0.98768834)

x = 1.975

x = 1.97

therefore the horizontal dstance jade covers is 1.97km

8 0

4 years ago

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What is 100,203 in expanded form.

slega [8]

100,000+ 200+3=100,203

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3 years ago

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