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2 years ago

#3 (1 pt) A certain baseball card is very rare and is currently worth $2000. If the price of this card increases by 3% a year,

Mathematics

1 answer:

Galina-37 [17]2 years ago

6 0

Answer:

$2000x(1.03)ˣ

Step-by-step explanation:

This is known as compound interest.

100% + 3% = 103%, so we put this into a decimal: 1.03

We now put this into the equation:

$2000x(1.03)ˣ

If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes

$2000x(1.03)³

You can then use a calculator to work out the answer.

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Simplify:(4x2 - 2x) - (-5x2 - 8x). yall dont gotta simplify this im just bored

jeka57 [31]

Answer:

wsp?

Step-by-step explanation:

9x^2 + 6x

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2 years ago

A factory robot recently examined some bulbs, of which 2 were flawed and 36 were not. Considering this data, how many flawed bul

Vladimir [108]

Answer: 1 bulb

Step-by-step explanation:

Using the proportion of flawed bulbs in the first scenario, you can get the number of flawed bulbs in the other bath.

First scenario total bulbs = 2 + 36 = 38

Proportion of flawed bulbs = 2/38 = 1/19

In a batch of 19, the flawed bulbs are;

= 1/19 * 19

= 1 bulb

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2 years ago

Joe made a scale model of his fathers sports car. The length of the actual car is 24 feet long. Joe's model is 6 inches long. if

dlinn [17]

The answer will be 192 sq ft

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3 years ago

How much time has passed from the first clock to the second clock?

bonufazy [111]

Answer:

Step-by-step explanation:

Time for first clock is 8:34

Time for second clock is 11:48

subtract them: 11 hrs. 48 min.

- 8 hrs. 34 min.

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3 hrs. 14 min.

4 0

2 years ago

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$

I leave the details of integrating to you.

3 0

2 years ago