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3 years ago

Given below are lease terms at the local dealership. What is the total cash

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

Answer:

$2900

Step-by-step explanation:

• Length of lease = 36 months

• MSRP of the car = $22,750

• Purchase value of the car after lease = $16,900

• Down payment = $1800

• Monthly payment = $425

• Security deposit = $375

• Acquisition fee = $300

The amounts in bold above (last 4 lines) are usually due at signing. Usually there is also sales tax, but that is not mentioned here.

Total due at signing: $1800 + $425 + $375 + $300 = $2900

Answer: $2900

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

(-3, -129)

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is (-3, -129)

7 0

3 years ago

Buchanan corp. is refunding $10 million worth of 10% debt. the new bonds will be issued for 8%. The corporation's tax rate is 35

Alik [6]

The net cost of call premium can be calculated considering the total amount after taxes deductions times the percentage of the call premium.

Writing the percentage as a decimal number, we get:

10000000 × (1 - 0.35) × 0.09 = 585000

The net cost of the call premium after taxes is 585000$.

5 0

2 years ago

Does anyone know what the answer?

11111nata11111 [884]

Answer:

x = 7

Step-by-step explanation:

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

5 0

3 years ago

Read 2 more answers

Find the HCF of 960 and 432

sdas [7]

Answer:

Step-by-step explanation:

Using Uclid's division algorithm, the HCF of 960 and 432 can be obtained as follows:

Here, 960 is greater and 432 is smaller. We divide 960 by 432.

STEP 1:

960 = 432*2 + 96

STEP 2:

Divide divisor (432) by remainder (96)

432 = 96 * 4 + 48

STEP 3:

Divide divisor (96) by remainder (48)

96 = 48 * 2 + 0

Since, remainder at this step is zero (0), so the HCF would be the divisor of this step which is 48.

Thus, HCF of 960 and 432 is 48

4 0

2 years ago

The denominator of a fraction exceeds the numerator by 7. If 3 is added to the numerator and 1 is subtracted from the denominato

Elodia [21]

9/16 is the original fraction. 9+3 = 12 and 16-1 =15. 12/15 = 4/5

3 0

3 years ago