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3 years ago

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Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and

a residual value of 72%. Determine Ralph's approximate monthly lease payment. a. $145.00 b. $230.40 $248.89 d. $443.73 C.

1 answer:

sesenic [268]3 years ago

6 0

Answer:

d. 443.73

Step-by-step explanation:

i got it right on the test

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.

So, our first term is <em>x</em>.

Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:

$x+3=xr^2$

Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by <em>x: </em>

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the <em>x: </em>

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio <em>r</em> is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.

So, our fifth term is -1/4.

4 0

3 years ago

Describe the symmetry of these functions

Oduvanchick [21]

If it was line symmetry it would need to repeat the same shape twice, which the first follows but the second doesn’t.
if it was rotational, you would need to be able to take the shape in the top right and rotate it counterclockwise or clockwise to get the shape that locks in place. that doesn’t follow that.
both line and rotational symmetry is incorrect because the first example would need to lock up inside the right side of that example.

the answer is C

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3 years ago

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Felicia used 153 Yellow beads and some green beads for her art project. She used 9 times as many Yellow beads as green beads. Ho

Vlada [557]

Answer:

17

Step-by-step explanation:

To find the number of green beads that Felicia used, we first need to list out what we know.

Let x = number of green beads.

Yellow Beads = 153

So we get:

x*9 = 153

We divide both sides by nine to find the value of x.

$\dfrac{x*9}{9}=\dfrac{153}{9}$

x = 17

To see if we got the answer correct, let's substitute x.

x * 9 = 153

17 * 9 = 153

153 = 153

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3 years ago

You are going shopping. You are given 40 dollars to buy clothing. You buy

Oduvanchick [21]

Answer:

6 dollars

Step-by-step explanation:

40-10=30

30/5= 6

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3 years ago

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Solve this PLZ!<br> 4 - 7 (v - 9) = -7 -6(v - 10)

Arisa [49]

I maybe wrong, but I think it is 14

Simplify both sides of the equation
(Do distributive property)
Add 6v to both sides
Subtract 67 from both sides
Divide both sides by -1

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3 years ago