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Gnoma [55]
2 years ago
12

Ariana started a savings account with $240. She deposits $30 into her account at the end of each month. She wants to know how ma

ny months it will take for her account to have a balance greater than $500.
Mathematics
1 answer:
mafiozo [28]2 years ago
8 0

Answer:

9 months

Step-by-step explanation:

$500 - $240 = $260

$260/$30 = 8.67(3s.f.) ≈ 9 months

Recheck:

Balance after 9 months = 240 + (30×9) = 240 + 270 = $510

                                      ∴ $510 > $500

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Free_Kalibri [48]
The answer is -14 ........
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3 years ago
Which expression is undefined?
Mkey [24]

Answer:

D: \frac{3}{(6-6)}

Step-by-step explanation:

Option A equates to -\frac{0}{2}=0

Option B equates to \frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}

Option C equates to 0\div11 =0

Option D equates to \frac{3}{(6-6)}=\frac{3}{0} which cannot be defined as division by 0 is impossible

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The correct answer is x= -1. Hope this helps!!
6 0
3 years ago
Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
Gre4nikov [31]

In this picture dots are clearly shown the frequency of the concert.

<h3>What is Frequency?</h3><h3>Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.</h3>

Here, in given data about the six concerts

Concerts              Frequency

    0                              2

    1                               2

    2                              1

    3                              1

Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.

Learn more about Frequency from:

brainly.com/question/5102661

#SPJ1

3 0
2 years ago
The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa
SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0
2 years ago
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