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2 years ago

6

1) x-1+5

="absmiddle" class="latex-formula">+3=0
4) $x^{4}$ -64=0

1 answer:

TEA [102]2 years ago

6 0

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4) x^4-64=0

x^4 = 64

$x = \sqrt[4]{64}$

x = 2.83

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Step-by-step explanation:

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4 0

2 years ago

Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 MSRP, a 79% residual value, and a money factor

Scrat [10]

<h3>Option A</h3><h3>The monthly lease payment for a 36-month lease on a car is $ 358.64</h3>

<em><u>Solution:</u></em>

Given that,

MSRP of car = $29,000

Percentage of residual = 79% = $\frac{79}{100} = 0.79$

<em><u>Find residual value</u></em>

$\text{Residual value } = \text{ MSRP } \times \text{ Percentage of residual } \\\\\text{Residual value } = 29000 \times 0.79 \\\\\text{Residual value } = 22910$

<em><u>Find the depreciation amount</u></em>

Depreciation amount = cost - residual value

Depreciation amount = 29000 - 22910 = 6090

<em><u>Find Base monthly lease payment</u></em>

$\text{Base monthly lease payment } = \frac{ \text{ Depreciation amount }}{ \text{ number of months }}$

$\text{ Base monthly lease payment } = \frac{6090}{36} = 169.1667$

<em><u>Find Interest per month</u></em>

$\text{ Interest per month } = (cost + residual ) \times \text{ money factor }$

$\text{Interest per month } = (29000 + 22910) \times 0.00365= 189.4715$

<em><u>Find monthly lease payment</u></em>

Monthly lease payment = Base monthly lease payment + Interest per month

Monthly lease payment = 169.1667 + 189.4715 = 358.6382 $\approx 358.64$

Thus monthly lease payment is $ 358.64

Option A is correct

5 0

3 years ago

Read 2 more answers

How would using a number line to find the sum of 2+5 be different from using a number line to find the sum -2+(-5)?

Komok [63]

In finding the sum of 2+5 you would go right on the number line, while in finding the sum of -2+(-5) you would go left on the number line

7 0

3 years ago

What is the midpoint value of a data set, where the values are arranged in ascending or descending order?

Blababa [14]

Answer:

Median

Step-by-step explanation:

Remember ...

Mean = Average

Median = Middle

Mode = Most (the number that appears most)

4 0

2 years ago

The area of a rectangle is represented by (x^2-14x-32) square units . If the width of the rectangle is represented by (x+2) unit

Flura [38]

The expression for length of rectangle is (x - 16) units

<h3><u>Solution:</u></h3>

Given that area of a rectangle is represented by $x^2-14x-32$ square units

width of the rectangle is represented by (x+2) units

To find: length of the rectangle

<em><u>The area of rectangle is given as:</u></em>

$\text { area of rectangle }=\text { length } \times \text { width }$

Substituting the values in formula, we get

$x^{2}-14x-32=\text{length} \times(x+2)$ ---- eqn 1

Let us first factorise the L.H.S of eqn 1

$x^{2}-14x-32$

Break the expression into groups

$=\left(x^2+2x\right)+\left(-16x-32\right)$

$\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)$

$\mathrm{Factor\:out\:}-16\mathrm{\:from\:}-16x-32\mathrm{:\quad }-16\left(x+2\right)$

$=x\left(x+2\right)-16\left(x+2\right)$

$\mathrm{Factor\:out\:common\:term\:}x+2$

$=\left(x+2\right)\left(x-16\right)$

Now substitute the above value in eqn 1

$(x + 2)(x - 16) = length \times (x + 2)$

$length = \frac{(x + 2)(x - 16)}{x + 2}$

Length = x - 16

Thus the expression for length of rectangle is (x - 16) units

8 0

3 years ago