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My name is Ann [436]
3 years ago
12

Help geometry...................................

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0
C maybe not sure. thats my best guess
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Beau's grandmother started depositing $500 in a savings account each
tamaranim1 [39]

Given:

Beau's grandmother started depositing $500 in a savings account each  year in his birthday

Rate of simple interest = 2.5%

Time = 3 years

To find:

The interest.

Solution:

Formula for simple interest:

I=\dfrac{P\times r\times t}{100}

where, P is principal, r is rate of interest and t is time in years.

Interest for first year is

I_1=\dfrac{500\times 2.5\times 1}{100}

I_1=12.5

New principal = 500+500=1000

Interest for second year is

I_2=\dfrac{1000\times 2.5\times 1}{100}=12.5

I_2=25

New principal = 1000+500=1500

Interest for third year is

I_3=\dfrac{1500\times 2.5\times 1}{100}=12.5

I_3=37.5

Total interest for 3 years is

I=I_1+I_2+I_3

I=12.5+25+37.5

I=75

So, interest after 3 years is $75.

Therefore, the correct options A.

4 0
3 years ago
Simplify the following expressions. Cross out the letter that matches your answer.
OverLord2011 [107]

1. 3x + 5x + 14x = 22x

2. 4x + 7 + 11x = 15x+7

3. 10x + 8 - 3x= 7x+8

4. 6x - 5 + X - 11 = 7x-16

5. -8x + 19 + 2 - 2x = -10x+21

6. X + 23 + 4x - 34 - X = 4x-11

7. 105 + 27x - 68 - 19x - 27 + x = 9x +10

8. 7x + 16 - 3x + 3 - 2x - 2x = 19

9. -18 + 6 - 4x + 10 - 11x + 2 = -15x

10. 16 + 4x - 12x - 28 - 6x + 17 + x - 1 = -13x+4

8 0
3 years ago
choose the equation below that represents the line passing through the point (2, −4) with a slope of one half. a. y = 1/2x 5 b.
ICE Princess25 [194]
The point-slope form: y-y_0=m(x-x_0)

m=\dfrac{1}{2};\ (2;-4)\to x_0=2;\ y_0=-4

subtitute

y-(-4)=\dfrac{1}{2}(x-2)\\\\\boxed{y+4=\frac{1}{2}(x-2)}
6 0
4 years ago
Question: 3 of 20
zysi [14]

Answer:

Sean earns $7.5 in each hour.

Step-by-step explanation:

Given:

Money earned by Sean = $300

Number of hours worked in a day = 8 hrs

Number of days of work  in a week = 5

We need to find Money earned in each hour.

First we will find Total hours work in a week.

Total hours work in a week is equal to Number of hours worked in a day multiplied by number of days work in a week.

Framing in equation form we get;

Total hours worked in a week = 8\times5 = 40\ hrs

Now we will find money earned for each hour.

Money earned each hour will be calculated by Dividing Total Money earned in a week by Total number of hours worked in a week.

Framing in equation form we get;

Money earned each hour = \frac{300}{40} = \$7.5

Hence Sean earns $7.5 in each hour.

8 0
3 years ago
a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that min
Dmitriy789 [7]

The box should have base 52 cm by 52 cm and height 26 cm.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.

The Volume of a box with a square base x by x cm and height h cm is

V = x^2h

Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.

The surface area of the box described is  A = x^2 + 4xh

We need A as a function of x alone, so we'll use the fact that

V = x^2h= 70304 cm^3

⇒ h = \frac{70304}{x^2}

So, the area becomes,

A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}

We want to minimize A, so

A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52

The second derivative test verifies that A has a minimum at this critical number:

A'' = 2+\frac{562432}{x^3}  which is positive at x = 52.

Now,

h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26

Hence, The box should have base 52 cm by 52 cm and height 26 cm.

To know more about volume, click on the link

brainly.com/question/463363

#SPJ4

8 0
2 years ago
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