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Semenov [28]
2 years ago
9

Sydney purchases a new car for $27,500. The value of the car decreases at rate of 15% each year. In approximately will the $1,25

4?
Mathematics
2 answers:
Pani-rosa [81]2 years ago
8 0

Answer:

Time taken n = 19 years (Approx)

Step-by-step explanation:

Given:

Amount of car P = $27,500

Decrease rate r = 15% = 0.15

Final amount A = $1,254

Find:

Time taken n

Computation:

A = P[1-r]ⁿ

1,254 = 27,500[1-0.15]ⁿ

0.0456 = [0.85]ⁿ

Time taken n = 19 years (Approx)

hram777 [196]2 years ago
4 0

Answer: 5 years

Step-by-step explanation:

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Mark rode his bike 22/8 miles. which mixed number shows the fraction of miles he rode his bike
Vlad1618 [11]

Answer:

Hey there!

There aren't any options, but the correct answer would be 2 6/8, which simplifies to 2 3/4.

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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
What is the opposite of - 1/4 ?
DENIUS [597]

Answer:

1/4

Step-by-step explanation:

8 0
3 years ago
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