12. Karen borrowed a sum of money for some big screen TVs and a
waterfall for her restaurant. If she borrowed $10,200 and received a 3.85
% interest rate compounded continuously, how much did Karen pay in
interest over a 7 year period? Round your answer to the nearest whole
number.

Step-by-step explanation:

[tex]mean = \frac{(25.25 + 17.50 + 4.75 + 45.00 + 33.50 + 11.70 + 23.80 + 38.00 + 17.75 + 14.25)}{10} \\ = 23.15[/tex]

Answer:

301.440 mi²

Step-by-step explanation:

Surface area of a cylinder = 2πrh + 2πr²

Where,

Radius, r = 6 mi

Height, h = 2 mi

Surface area of a cylinder = 2πrh + 2πr²

= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)

= 75.36 + (6.28 * 36)

= 75.36 + 226.08

= 301.44 mi²

To the nearest thousandth

Surface area of a cylinder = 301.440 mi²

Answer:

1. 76017.69 mm^2 or 76.02 m^2

2. 631332.52 mm^3 or 631.33 m^3

Step-by-step explanation:

1. The equation for the surface area of an equilateral trianglula prism is  

2 * ( ( sqrt(3) / 4 ) * s^2) + 3( h * s )

2 * ( ( sqrt(3) / 4 ) * 60^2) + 3( 405 * 60 )

76017.69 mm^2 or 76.02 m^2

2. The equation for the volume of an equilateral trianglula prism is  

( sqrt(3) / 4 ) * s^2 * h

( sqrt(3) / 4 ) * 60^2 *405

631332.52 mm^3 or 631.33 m^3

Answer:

Picture please

Step-by-step explanation:

I cannot identify the 3-D shapes unless if there is a picture.

The total volume of the solid is 2,160 unit³.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.

The unit of volume is in cubic units such as m3, cm3, in3 etc.

First, Base area

= 1/2 x b x h

= 1/2 x 15 x 12

= 15 x 6

= 90 unit²

Now, Volume of Figure

= Base area x h

= 90 x 24

= 2,160 unit³

Learn more about Volume here:

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Answer:

[tex] \frac{1}{3} h = a \\ a = 10cm[/tex]

Answer:

Please mark me brainliest! ^^

vvvvvvvvvv

Answers :

y = 3

Step-by-step explanation:

Answer:

you will get more money if he gives you 1 cent per day then doubles it

Step-by-step explanation:

if your brother gives you 25 cents per day, at the end of 10 days you will have $2.50

if he gives you 1 cent per day then doubles it, this will be your daily earnings:

day 1- 0.01

day 2- 0.02

day 3-  0.04

day 4- 0.08

day 5- 0.16

day 6- 0.32

day 7- 0.64

day 8- 1.28

day 9- 2.56

day 10- 5.12

then when you add all of this up, you would recieve 10.23 cents at the end of day 10

Answer:

y=25

Step-by-step explanation:

y=4+4x+x^2

x=3

y=4+4(3)+(3)^2

y=4+12+(3)^2

y=4+12+(3x3)

y=4+12+(9)

y=16+9

y=25

If this helps please mark as brainliest

Answer:

C. SA = 148.8 ft

Step-by-step explanation:

3.1×8×6= 148.8

Answer:

B) 883.6

Step-by-step explanation:

V=πr^2h

radius= 7.5

V=π(7.5)^2(5)

V= 883.6

Answer:

a. 3100 wpm

[tex]1 \: minute = 70 \: words \\ 30 \: minutes = (30 \times 70) \: words \\ = 2100 \: words[/tex]

Answer:Ronny’s car will be worth $0 after 50 years

Step-by-step explanation:

Answer:

33.8

Step-by-step explanation:

AB/AC = AD/AE

10/(10+16) = 13/AE

10/26 = 13/AE

=> AE = 26×13/10

= 338/10

= 33.8

Answer:

1/6

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 5 / 4 - (-2)

1 / 6

Answer:

B. 64 square inches

Step-by-step explanation:

you just add

Answer:

Step-by-step explanation:

4

Answer:

AB= GJ ➗2

2x+24➗2= x+12

i'm not sure

Answer:

it should be 2462 feet³

Step-by-step explanation:

Answer:

134.3

Step-by-step explanation:

.

Answer:

15%

Step-by-step explanation:

A chess club with 80 members is electing a new president. Ryan received 12 votes.

12 votes = 12 Members

The percentage of the club members that voted for Ryan is calculated as:

12 members/ 80 members × 100

= 15%

Therefore, 15% of the club members voted for Ryan

Answer:

The Great Chicago Fire was a conflagration that burned in the American city of Chicago during October 8–10, 1871. The fire killed approximately 300 people, destroyed roughly 3.3 square miles (9 km 2) of the city, and left more than 100,000 residents homeless. The fire began in a neighborhood southwest of the city center.

Step-by-step explanation:

Origin

The fire is claimed to have started at about 8:30 p.m. on October 8, in or around a small barn belonging to the O'Leary family that bordered the alley behind 137 DeKoven Street.

Spread

When firefighters finally arrived at DeKoven Street, the fire had grown and spread to neighboring buildings and was progressing toward the central business district.

Aftermath

Once the fire had ended, the smoldering remains were still too hot for a survey of the damage to be completed for many days. Eventually, the city determined that the fire destroyed an area about 4 miles (6 km) long and averaging ⁄4 miles (1 km) wide, encompassing an area of more than 2,000 acres (809 ha).

Hope this helps please mark brainliest!!

Answer:

4 and 5 alternate interior  8=60

Step-by-step explanation:

Alternate means... well... alternating so they are not on the same side but on different sides. Interior means inside si the angles that match this would be 4&5 or 3&6, but 4&5 is one of the options.

1 and 8 are the same value. 1,4,5,8 are all 60 degrees.

Answer:

x=8

y=14

Step-by-step explanation:

3x+18=5x+2

2x=16

x=8

..........

5y+68=3y+96

2y=28

y=14

Answer:

x=8, y=14

Step-by-step explanation:

Opposite angles are equal to eachother. Therfore this setup is a simple equation

3x+18=5x+2

Simplify and x=8

5y+68=3y+96

Simplify and y=14

Have a nice day ;)

Answer:

a) x = -1.5

b) x = 1

Step-by-step explanation:

For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:

7x + 5 = 3x - 1

-3x         -3x

4x + 5 = -1

Next, to get the coefficients on one side, you subtract 5 from both sides:

4x + 5 =  -1

    -5      -5

4x = -6

Now, you divide by 4 on both sides to isolate x:

x = -6/4 = -1.5 --- > x = -1.5

For problem b, you start by subtracting 3x from both sides(kinda like problem a):

5x + 12 = 3x + 14

-3x          -3x

2x + 12 = 14

Next, you can subtract 12 from both sides, isolating the "x term".

2x + 12 = 14

       -12  -12

2x = 2

Lastly, you can divide by 2 to get x:

x = 1

1:

[tex]7x +5=3x-1\\7x+5-3x=-1\\7x-3x=-1-5\\4x= -1-5\\4x= -6\\x=-\frac{6}{4} (en donde ambos se divide entre 4)\\Respuesta / x=-\frac{3}{2}[/tex]

2:

[tex]5x+12=3x + 14\\5x+12-3x=16\\5x-3x=16-12\\2x= 16-12\\2x= 4\\x=4/2\\( se divide entre 2)x= 2[/tex]

Step-by-step explanation:

A. x^2-9x+18

B. x^2-8x+16

C. 2x^2-5x-12

D. 12x^2-31x+7

Answer:

40 squared cm

Step-by-step explanation:

The formula for this shape would be

A=bh

This is the same as a rectangle because it is technically a rectangle, don't get confused by the triangle.

Imagine that you can cut this shape, so cut where the dotted line is, put it on the opposite side, and you get a rectangle.

------

So:

10 × 4 = 40

-----

Have a good day :)

Answer:

so 3%5+=67K and 9+=-8 is -1

Step-by-step explanation:

Answer:

Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?

Step-by-step explanation:

Answer:87.5

Step-by-step explanation: I can find the total cost of a 5 hire bike tour because I'm given the unit rate and the amount of time to multiply it by.

The total cost of the five hours bike tour is $87.50

Cost of equipment = $50

Cost per hour = $7.50 per hour

The total cost of the equipment for five hours will be the addition of the fixed cost and the variable cost. This will be:

= $50 + $7.50h

where, h = number of hours = 5 hours

Total cost = $50 + $7.50(h)

= $50 + $7.50(5)

= $50 + $37.50

= $87.50

The total cost of the five hours bike tour is $87.50

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Answer:

$1,826

Step-by-step explanation:

Given that

The amount invested is $1,200

The annual rate of interest is 6%

And, the time period is 7

We need to find the value of the account after 7 years in the case of compounded continuously

We know that for compounded continuously, the following formula should be used

= Amount invested ×e^(rate, time)

= $1,200 × e^(0.06 ×7)

= $1,200 × e^0.42

= $1,826