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3 years ago

Luiza's savings account had

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

Answer: g is a geometric sequence.

Step-by-step explanation:

Each year since then, her account accumulated interest amounting to

15% of the balance in the previous year.

15% = 15/100 = 0.15

Since the balance is increasing each year, then the constant factor by which it is increasing is 1 + 0.15 = 1.15.

This factor of 1.15 is a common ratio. This means that the sequence is a geometric sequence since it is increasing by a common ratio.

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A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

3 years ago

I need help with HW it is hard (repost i forgot picture)

creativ13 [48]

Answer:

b 8 hours

Step-by-step explanation:

1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer

4 0

3 years ago

Can someone help me in this pretty please and asap!!! ;((

zepelin [54]

Answer:

(x -5)² + (y +4)² = 100 Should be the correct answer, hope this helps :)

Step-by-step explanation:

A circle centered at (h, k) with radius r will have equation ...

... (x -h)² + (y-k)² = r²

The point satisfies the equation for the circle. Filling in the given numbers, we have ...

... (x -5)² + (y+4)² = (-3-5)² + (2+4)² . . . . . . (h, k) = (5, -4), (x, y) = (-3, 2)

... (x -5)² + (y +4)² = 64 +36

6 0

3 years ago

How many 5-millileter test tubes filled with water will it take to fill a 1 leter container?

aliya0001 [1]

One liter is equal to 1000 milliliters. Use the conversion to find your answer. 1000 milliliters / 5mL per tube = 200 tubes

5 0

3 years ago

Anyone? /: please help!!

NeTakaya

The answer is Side RQ corresponds to side QQ'. 100% sure and please feel free to ask more.

5 0

2 years ago