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3 years ago

15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

The values of BMW after 2 years and 4 years according to the EXPONENTIAL FUNCTION are $33,462 and $20,358.28

Using the parameters given, we define an decreasing exponential function :

$A = A_{0} (1 - r)^{t}$

Where,

$A_{0}$ = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Therefore, the value of BMW after 2 years and 4 years $33,462 and $20,358.28 respectively.

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A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t

Tamiku [17]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

$\frac{18}{1500} * 100 = 1.2$

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

4 0

3 years ago

Find the focus and directrix of the parabola with the equation x² = -22y.

Bad White [126]

9514 1404 393

Answer:

focus: (0, -5.5)

directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

x² = 4py

where 4p = -22 ⇒ p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

6 0

3 years ago

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and th

const2013 [10]

Step by step:

Perimeter = Summation of all sides = AB+BC+CD+DA = 2x+2+x+2x+2+x=(6x+4)

⇒6x+4=154

⇒6x=154−4

⇒ $\frac{150}{6x}$

⇒25=x

The breadth is x=25

The length of the rectangular pool = (2×25+2)=50+2=52m

breadth is 25 and the length is 52

Hope it helps!

4 0

2 years ago

Read 2 more answers

So I need help with this. Why Do we seat?

r-ruslan [8.4K]

Answer:

When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.

Step-by-step explanation:

hope this helps

6 0

3 years ago

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

castortr0y [4]

∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
 v = km
where k is constant and can be calculated as follow:
when m = 34.932 , and v = 4.1 ⇒⇒⇒ k = v/m = 0.117371
when m = 47.712 , and v = 5.6 ⇒⇒⇒ k = v/m = 0.117371
when m = 61.344 , and v = 7.2 ⇒⇒⇒ k = v/m = 0.117371
when m = 99.684 , and v = 11.7 ⇒⇒⇒ k = v/m = 0.117371

∴ v = 0.117371 m

For v =15.3
∴ m = v/k = 15.3/0.117371 = 130.356 gram

The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (round to the nearest tenth)

3 0

3 years ago

Read 2 more answers