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Lady_Fox [76]
3 years ago
9

Fluffy, Spot and Skampy have a combined age in dog years of 91. Spot is 14 years younger than Fluffy. Skampy is 6 years older th

an Fluffy. Create and solve an equation to find the age of Fluffy. Justify.
Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer: fluffy = 33yrs

Spot = 19 yrs

Skampy = 39 yrs

Step-by-step explanation:

Let fluffy = x

Spot = y

Skampy =z

x + y + z = 91 -------1

x -14 =y ------2

z = x + 6 --------3

Put eqn 2 and 3 in eqn 1

x + x - 14 + x + 6 = 91

3x = 99

x = 33

y = 33-14= 19

z = 33+6 = 39

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W = \frac{V}{LH}


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melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

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Joining these two points we can draw a straight line showing y = -x + 3

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y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

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y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

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y = 3 + 5 = 8

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4 0
2 years ago
Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl
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Answer:

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_____

<em>Account value calculation</em>

The future value of the initial $300 deposit after 8 years is ...

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for principal P earning annual rate r compounded n times per year for t years.

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  $364.89 +15,922.68 = $16,287.57

_____

<em>Comment on account value</em>

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

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