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klio [65]
3 years ago
6

Luke purchased a motorcycle for $8765. It depreciates about 5.3% each yeah. What is the value of the motorcycle after five years

?
Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0
After 5 years, the value of this motorcycle is $<span>6675.77</span>
mafiozo [28]3 years ago
8 0
The formula is to find the salvage value or the remaining value after depreciation of n year at the rate I

Salvage value = Purchase price (1- I%)^n

Salvage Val = 8765(1-5.3%)^5 = $6,675.77



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What is (43/7÷ x+32/9) ÷25/6=4/3
Fittoniya [83]

The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

<h3>How to solve for x in the equation?</h3>

The equation is given as:

(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3

Rewrite as a product

(43/7 ÷ x + 32/9) x 6/25 = 4/3

Multiply both sides of the equation by 25/6

(43/7 ÷ x + 32/9)= 4/3 x 25/6

Evaluate the product

(43/7 ÷ x + 32/9)= 50/9

Rewrite the equation as:

43/7x + 32/9= 50/9

Subtract 32/9 from both sides

43/7x = 2

Multiply both sides by 7x

14x = 43

Divide by 14

x =43/14

Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

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3 0
2 years ago
Which represents all the values of x that make the rational expression 2x-4 over x-5 undefined?
julsineya [31]
X=5 because the denominator can never equal zero or it will be undefined. and 5-5=0
7 0
3 years ago
Read 2 more answers
Each pound of food C contains 6 ounces of ingredient P and 3 ounces of ingredient Q. Each pound of food D contains 4.5 ounces of
GuDViN [60]
So hmm the food C = 6p + 3q  and the food D = 4.5p + 1.5q

now, if we check how much is the ratios of C/D for each component, then, mixture M = 144p + 60q, must contain the same ratio for each "p" and "q" component

\bf \textit{ratio of "p"}\implies \cfrac{6}{4.5}\implies \cfrac{4}{3}&#10;\\\\\\&#10;\textit{ratio of "q"}\implies \cfrac{3}{1.5}\implies \cfrac{2}{1}

so, if we divide the 144p by 4+3, or 7 even pieces, 4 must belong to food C and 3 to food D, retaining the ratio of 4/3

and we do the same for 60q, we divide it in 2+1 or 3 even pieces, but that one is very clear, 2 must belong to food C and 1 to food D, 60/3 is clear ends up with a ratio of 40 and 20

now the "p" part... ends up as \bf \cfrac{144}{7}\cdot 4\qquad and\qquad \cfrac{144}{7}\cdot 3\implies \cfrac{576}{7}\qquad and\qquad \cfrac{432}{7}

that's what I see it, as the ratio of 4/3 and 2/1 being retained in the mixture M
7 0
3 years ago
Where are earthquakes most likely to occur?
bonufazy [111]

Most earthquakes occur along the edge of the oceanic and continental plates.  So, when they slide past each other. Many think it's when they pull apart but that has mixed results.

5 0
3 years ago
A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round answer t
r-ruslan [8.4K]

Answer: Tthe tower is 129 feet tall.

Step-by-step explanation:

According to trigonometry in a right triangle:

\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}

Let x be the height of the tower.

Given , \theta=65^{\circ}

Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.

\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}

Hence, the tower is 129 feet tall.

3 0
3 years ago
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