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3 years ago

What are decimals please help me

Mathematics

1 answer:

vampirchik [111]3 years ago

5 0

Answer:

A decimal is a number that can't be divided easily

Step-by-step explanation:

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a state employees pension fund invested a total of one million dollars into two accounts that earned 3.5 and 4.5 annual simple i

erik [133]

Let the investment in first account be x and this account is earning 3.5% interest

So Interest on this account is 3.5% of x = 0.035x

So the investment in second account would be (1,000,000-x) and this account is earning 4.5% interest

So the interest on this account is 4.5% of (1,000,000-x) = 0.045*(1,000,000-x)

Given that total interest for the year is $42,000

So we have

0.035x + 0.045(1,000,000-x) = 42,000

0.035x - 0.045x + 0.045*1,000,000 = 42,000

-0.01x + 45,000 = 42,000

-0.01x = 42,000-45,000

-0.01x = - 3000

0.01x = 3000

x = 3000/0.01

x= 3,00,000

Therefore Investment in one account s 300,000 and the investment in other account is 1,000,000-300,000 = 700,000

4 0

3 years ago

14. A rectangle has a width described by the expression (x2 + 2x – 15)/x and a length described by the expression

tensa zangetsu [6.8K]

Answer:

The answer to your question is Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

Step-by-step explanation:

Data

Width = (x² + 2x - 15)/x

Length = (3x² + 4x)/ (5 + x)

Process

1.- Write the formula for the perimeter of a rectangle

Perimeter = 2W + 2L

2.- Substitution

Perimeter = 2(x² + 2x - 15)/x + 2(3x² + 4x)/(5 + x)

3.- Simplification

Perimeter = (2x² + 4x - 30)/x + (6x² + 8x)/(5 + x)

4.- Sum the fractions

Least common factor = x(5 + x)

Perimeter = [(2x² + 4x - 30)(5 + x) + (x(6x² + 8x)] / x(5 + x)

-Simplification

Perimeter = [10x² + 20x - 150 - 2x³ - 4x² + 30x + 6x³ + 8x²] / x(5 + x)

Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

8 0

3 years ago

Which statement about the ordered pairs (−9,3) and (2,−4) is true for the equation 6x−y2=14 ?

ehidna [41]

Answer:

What are the statements to choose from? Send me a message with the choices.

Step-by-step explanation:

6x-2y=14

+2y +2y

6x=14+2y

5 0

3 years ago

Find the value of x so that the function has the given value.

GuDViN [60]

Answer:

-78

Step-by-step explanation:

-4/5+7;j(x0= -5

-4/5 equals 0.8

0.8 equals 80

-80+7= -73

-73 - -5= -78

X= -78

Please tell me if wrong

3 0

2 years ago

PLEASE HELP WILL MARK AS BRAINLIEST

AveGali [126]

Answer:

$\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}$

Step-by-step explanation:

Using Pythagorean Theorem first to find EC

$\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm$

Given that:

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

ABCD is a trapezoid / trapezium

So,

Area of Trapezium = $\sf \frac{AB+DC}{2} (EC)$

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium = $\sf \frac{17+8}{2} ( 12)$

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

5 0

3 years ago

What are decimals please help me ​

What are decimals please help me