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Arada [10]
2 years ago
13

The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat

in 2013.
Mathematics
1 answer:
svetlana [45]2 years ago
4 0

Answer:

The worth of boat in 2013 will be $9202.6

Step-by-step explanation:

Rate of depreciation = 9% = 0.09

Cost of Boat in 2006 =$ 17,800

Cost of Boat in 2013 = ?

Years = 2013-2006= 7 years

The formula used is: \mathbf{A=P(1+r)^{t}}

Since the value of boat is depreciating the value of r will be r=-0.09

Here P = 17,800 , r=-0.09 and t = 7 years Finding A

A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6

So, the worth of boat in 2013 will be $9202.6

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Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, ho
allochka39001 [22]

Answer:

4,560 pounds of soil

Step-by-step explanation:

Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...

8 ft * 19 ft = 152 sq. ft.

Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.

152 sq. ft. * 30lb =  4,560lb

Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.

4 0
3 years ago
If i^2 = −1 and a = (i + 7), which is the result of squaring a?
Artyom0805 [142]

Answer:

48+14i

Step-by-step explanation:

So squaring (i+7) looks like this

(i+7)^2

(i+7)(i+7)

Use foil.

First: i(i)=i^2=-1

Outer: i(7)=7i

Inner: 7(i)=7i

Last: 7(7)=49

____________Add the terms.

48+14i

8 0
3 years ago
Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2
Vesnalui [34]

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

5 0
2 years ago
A culture started with 6,000 bacteria. After 6
aivan3 [116]

Answer:

9,400 bacteria at Hour 17.

Step-by-step explanation:

If at

Hour 0, it was at 6,000 bacteria then at

Hour 6, it would be at 7,200 bacteria

That means in 6 hours, the bacteria has grown by 1,200

Let's use a ratio:

hours : bacteria

   6     :   1,200

   1      :     200

  17     :   3,400

Now after 17 hours, 3,400 new bacteria has joined our group of 6,000

6000+3400=9400

9,400 bacteria should be present at Hour 17

7 0
2 years ago
29 - 3x F 5x + 5<br> The answer
barxatty [35]

Answer:

x=3

Step-by-step explanation:

29-3*x-(5*x+5)=0

5 0
2 years ago
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