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BartSMP [9]
3 years ago
7

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

9514 1404 393

Answer:

  22.09 ft²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr² . . . . where r is the radius, half the diameter

The slice, at 45°, is 1/8 of the circle, so the area of the slice is ...

  A = (1/8)π(15 ft/2)² = 225π/32 ft² ≈ 22.09 ft²

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

3 0
3 years ago
A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu
Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

y_1=9+0.12x

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

y_2=27+0.07x

According to question, it becomes,

y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360

Hence, they will charge same amount for 360 minutes of calls.

5 0
3 years ago
Kinda need some help
aksik [14]

Answer:

1) x=10

2) x=6

3) x=13

Step-by-step explanation:

1) 15x-17+4x+7=180

19x-10=180

19x=190

x=10

2) 13x+5=16x-13

5+13=16x-13x

18=3x

x=6

3) 9x+7=11x-19

7+19=11x-9x

26=2x

x=13

6 0
3 years ago
Find an equation in slope-intercept form for the line with a zero slope and passes through (12, -9).
Virty [35]
If the slope is 0, then x does not change at all.

take the given y coordinate, and make that the equation.

so y=-9, since the line will never change.
8 0
4 years ago
If your pencil is 20 centimeters long how many millimeters is it
Nonamiya [84]
200 milimeters is the answer
4 0
3 years ago
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