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2 years ago

Solve: 2x + 18 - 1 = 33

Mathematics

2 answers:

Alecsey [184]2 years ago

7 0

Answer: $x=8$

Simplify both sides of the equation

 $2x+18+-1=33$ 

 $(2x)+(18+-1)=33$ (Combine Like Terms)

$2x+17=33$

Subtract 17 from both sides

$2x+17-17=33-17\\2x=16$

Divide both sides by 2

$2x/2=16/2\\x=8$

masya89 [10]2 years ago

5 0

Answer:

$2x + 18 - 1 = 33 \\ 2x + 17 = 33 \\ 2x = 33 - 17 \\ 2x = 16 \\ \frac{2x}{2} = \frac{16}{2} \\ x = 8$

hope this helps you...

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Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates

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Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

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Let the Annual percentage rate on interest = r % compounded annually

Now, From Compound Interest method

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, $240,141 = $167,000 × $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

or, $\dfrac{240,141}{167,000}$ = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or , 1.437 = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or, $(1.437)^{\frac{1}{20}}$ = $(1+\dfrac{r}{100})$

or, 1.018 = $(1+\dfrac{r}{100})$

Or, $\dfrac{r}{100}$ = 1.018 - 1

Or, $\dfrac{r}{100}$ = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8% Answer

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2 years ago

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Answer:

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<h3>13.5 m/s is the right answer.</h3>

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2 years ago

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the trian

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The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100

<h3>How to determine the legs of the triangle?</h3>

The complete question is in the attached image

The given parameters are:

Area = 24

Legs = x and x + 2

The area of the triangle is calculated as:

Area = 0.5 * Base * Height

This gives

0.5 * x * (x + 2) = 24

So, we have:

0.5(x)(x + 2) = 24

Divide through by 0.5

(x)(x + 2) = 48

Expand

x^2 + 2x = 48

Subtract 48 from both side

x^2 + 2x - 48 = 0

Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100