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Rainbow [258]
3 years ago
13

If the car dealer pays 85% of the base price and 75% of the installed options price from the manufacturer,

Mathematics
1 answer:
stira [4]3 years ago
7 0

Answer:

$18,007,50

Step-by-step explanation:

First, you have to calculate the 85% of the base price that the dealer pays for the car:

base price: $18,750

$18,750*85%= $15,937.5

Second, you have to calculate the 75% of the installed options price that the dealer pays:

installed options price= $2,380

$2380*75%= $1,785

Third, you have to add the 85% of the base price plus the 75% of the installed options that the dealer has to pay and you also have to add the destination charge of $285:

$15,937.5+$1,785+$285= $18,007.5

According to this, the dealer has to pay $18,007.5 for the car with a base price of $18,750 and installed options price $2380  including a destination charge of $285.

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while
aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is \theta

Thus, by the question,

tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}

\implies tan\theta = \frac{x}{x}    ( at 3pm the height of shadow = height of the pole)

\implies tan\theta = 1

\implies \theta = 45^{\circ}

Again, according to the question,

When the angle of elevation is   (\theta - 12^{\circ}),

The height of shadow = x + 95,

\implies tan(45-12)^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x

\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}

\implies -0.3505924068 x = - 61.6937213538

x=175.969930202\approx 175.97\text{ cm}

4 0
3 years ago
Eloise has 3/4 -pound of bird seeds. Each day, she feeds the birds in her yard 1/8 -pound of seeds. For how many days will she b
bulgar [2K]

Answer:

6 days

Step-by-step explanation:

First, we make common denominators:

3 *2  =  6

_  ->     _

4 *2  =  8

and we get 6/8

6/8 divided by 1/8 will be 6 days

3 0
2 years ago
What is 52,000,000 × 706,000? A) 36712 × 10 13 B) 36712 × 10 12 C) 3.6712 × 10 13 D) 3.6712 × 10 14
Anna [14]
The answer is b its easy i had this one

3 0
3 years ago
What is the image of A under the translation described by the translation rule (x, y)--->(x + 4, y - 10)?
Mademuasel [1]

Translation rule (x, y)--->(x + 4, y - 10)

Object A = (5, 6)

Apply rule:

(5, 6)---->(5 + 4, 6 - 10) = (9, -4)

Image A' = (9, -4)

Option 3: (9, -4) is the answer

6 0
2 years ago
Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
Misha Larkins [42]

Answer:

[0.25, 2]

Step-by-step explanation:

We have

4t² ≤ 9t-2

subtract 9t-2 from both sides to make this a quadratic

4t²-9t+2 ≤ 0

To solve this, we can solve for 4t²-9t+2=0 and do some guess and check to find which values result in the function being less than 0.

4t²-9t+2=0

We can see that -8 and -1 add up to -9, the coefficient of t, and 4 (the coefficient of t²) and 2 multiply to 8, which is also equal to -8 * -1. Therefore, we can write this as

4t²-8t-t+2=0

4t(t-2)-1(t-2)=0

(4t-1)(t-2)=0

Our zeros are thus t=2 and t = 1/4. Using these zeros, we can set up three zones: t < 1/4, 1/4<t<2, and t>2. We can take one random value from each of these zones and see if it fits the criteria of

4t²-9t+2 ≤ 0

For t<1/4, we can plug in 0. 4(0)²-9(0) + 2 = 2 >0 , so this is not correct

For 1/4<t<2, we can plug 1 in. 4(1)²-9(1) +2 = -3 <0, so this is correct

For t > 2, we can plug 5 in. 4(5)²-9(5) + 2 = 57 > 0, so this is not correct.

Therefore, for 4t^2 ≤ 9t-2 , which can also be written as 4t²-9t+2 ≤ 0, when t is between 1/4 and 2, the inequality is correct. Furthermore, as the sides are equal when t= 1/4 and t=2, this can be written as [0.25, 2]

8 0
2 years ago
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