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Alborosie
3 years ago
15

WXYZ is a rectangle. WX = 2x – 6 and ZY = 32. Find the value of 'x'.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

19

Step-by-step explanation:

2x-6 =32

-add 6 on both sides

2x=38

-divide it by 2

x=19

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Suppose you buy a CD for $1000 that earns 2.5% APR and is compounded
labwork [276]

The early withdrawal fee on this account is $6.25

Step-by-step explanation:

Suppose you buy a CD for $1000

  • It earns 2.5% APR and is compounded  quarterly
  • The CD matures in 5 years
  • Assume that if funds are withdrawn  before the CD matures, the early withdrawal fee is 3 months' interest

We need to find the early withdrawal fee on this account

∵ The annual interest is 2.5%

- Change it to decimal

∵ 2.5% = 2.5 ÷ 100 = 0.025

∴ The annual interest rate is 0.025

∵ The interest is compounded quarterly

∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625

∵ The early withdrawal fee is 3 months' interest

∵ You buy the CD for $1000

∵ A quarter year = 3 months

∴ The early withdrawal fee = 1000 × 0.00625 = $6.25

The early withdrawal fee on this account is $6.25

Learn more:

You can learn more about the interest in brainly.com/question/11149751

#LearnwithBrainly

7 0
3 years ago
It takes a ball an average of 0.09 seconds to knock down 4 dominoes, how long will it take to knock down 8 dominoes?
Elina [12.6K]
Answer: 0.18 seconds
step by step explanation: if it takes 0.09 seconds to knock down 4 dominoes, and you are trying to find out how long it will take to knock down 8 dominoes, you can see that 8/4=2, so you need to multiply 0.09 times 2 to get your answer, which is 0.18 seconds.
4 0
3 years ago
How do you solve 6650÷50
SpyIntel [72]

Answer:

its 133

Step-by-step explanation:

50 fits into 6650 133 times. u cant show a pic but if you know division, its easy.

4 0
3 years ago
A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What
Andreas93 [3]

Hi!

Add the student together to get the number of students

10+4 = 14

Divide the girls by half

4/2 = 2

2/14 is the answer for this question.

<em>Hope this helps! Have an amazing day <3</em>

<em />

4 0
3 years ago
Find all solutions to
BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
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