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DENIUS [597]
3 years ago
10

27

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

A  ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB²  = 45 = r²

Then area of quarter circle is

A = \frac{1}{4} × πr² = \frac{1}{4} × π × 45 ≈ 35.3

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Liz deposited money into an account in which interest is compounded quarterly at a rate of 3.2%. How much did she deposit if the
Anna [14]

Answer:

$4125.00

14.94 years

$379.50

Step-by-step explanation:

1. A = P(1 + r/n)^(nt)

4837.65 = P(1 + 0.032/4)^(4×5)

4837.65 = P(1.008)^(20)

P = 4125.00

2. A = P(1 + r/n)^(nt)

10250 = 5125(1 + 0.0475/1)^(1×t)

10250 = 5125(1.0475)^t

2 = 1.0475^t

ln 2 = t ln 1.0475

t = 14.94

3. Beth pays the first $100, bringing the cost to $1118.  She then pays 25% of this, which is $279.50.  So she pays a total of $379.50.

5 0
3 years ago
what is the algebraic equation 3 times the sum of a number and 7 is 2 less than five times the number
stealth61 [152]
Let n = number

"3 times the sum of a number and 7" translates to 3(n + 7)

"2 less than five times the number" translates to 5n - 2

The word "is" becomes the equals sign.

3(n + 7) = 5n - 2

I think you already asked this one. 
7 0
3 years ago
What is the slope of the line through the points (–3, 5) and (4, 5)? undefined 0 2 –2
Kazeer [188]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case you have the points (-3, 5) and (4, 5):

y_{2} =5\\y_{1} =5\\x_{2} =4\\x_{1} =-3

^^^Plug these numbers into the formula for slope...

\frac{5-5}{4 - (-3)}

\frac{0}{7}

0

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
3 years ago
Read 2 more answers
Help please.<br> A) 60<br> B)120<br> C)140
kvasek [131]
Hi there,

The answer to your question is:

B. 120

Hope this helped,

Sincerely,

Dus4nR
8 0
3 years ago
Please help and explain.
Radda [10]

Explanation:

Vertex form of a quadratic function is given by y = a(x - h)² + k

where

1) 'a' determines if parabola is stretched or compressed.

   If a > 1 then graph is stretched by a factor of a.

   If 0 < a < 1, then graph is compressed by a factor of a.

2) If a > 0 then graph opens upwards with a happy face. (minimum)

3) If a < 0 then graph opens downwards with a sad face. (maximum)

4) (h, k) is the vertex point

5) The axis of symmetry is x = h

While solving for y = 1(x - 4)² + 3

Identify following's:

Vertex: (h, k) = (4, 3)

Axis of symmetry: x = 4

Max/Min: As here a > 0, Minimum (4, 3)

Stretch/compression: a = 1, the graph is stretched by a factor of 1.

Direction of opening: As a > 0, the graph opens upwards.

7 0
2 years ago
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