Your laptop died and you need a new one for work NOW! The one you need will cost $500. You do not have the cash in your checking account, so you decide to borrow the money from your savings account. You have $9,000 in your savings account gaining 3% interest per year. If you don't replace the $500 in the savings account, how long will it take before the balance again reaches $9,000?

Answer:

heres what i did on the 2.1.4 practice problem on apex

Step-by-step explanation:

1. Circle the two boats you picked for your trip.

the yacht and the tall ship (aka the pirate ship)

2. Make sense of the problem.

what do you know?

The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.

what do you want to find out?

How fast is each boat traveling in knots (nautical miles per hour)?

what kind of answer do you expect?

probably just some numbers like 10 miles per hour or 40 miles per hour

Writing some expressions

3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)

the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300

4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)

so the yacht's speed would be S = x knots, s is for speed.

5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)

the distance returning from the island would be D = 2.5x.

6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)

10x - 300 = 2.5x

7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)

  10x - 300 = 2.5x  

10x - 300 + 300 = 2.5x + 300

  10x -2.5x = 300

   7.5x = 300

        x = 40

x is the speed of the yacht. (40 nautical miles per hour)

8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)

the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.

9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.

Find the speed for the kayak. Use one of these facts to help.

The steamboat's speed is 4 less than 8 times the speed of the kayak.

The tall ship's speed is 1 more than 3 times the speed of the kayak.

The yacht's speed is 5 less than 15 times the speed of the kayak.

Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)

the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak

 40 = 15x - 5

  40 + 5 = 15x -5 + 5

 45 = 15x

   x = 3

therefore, the speed of the kayak is 3 nautical miles per hour.

10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.

It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?

If so, how long will you have to spend at the reef?

If not, how late will you be for the return trip?

Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)

the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.

we can solve for x by doing:

100 = 20x -40

100 + 40 = 20x - 40 + 40

140 = 20x

140 / 20 = x

    x = 7

so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:

7 / 3 = 2 1/3 hours.

2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)

7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)

330 - 280 = 50 min. (how many min I can spend at the reef)

Answer:

The answer is 80

Step-by-step explanation: You can trust me ok?:)

Answer:

The arrow should point at 0.5 which is half way between 0 and 1

Step-by-step explanation:

- + 1 = -3/4 + 5/4 = 2/4 = 1/2 and 1/5 in decimal form is 0.5

pls brainliest:)d

Answer:

$4.42!

Step-by-step explanation:

Just add all the prices together then divide by 2!

$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84

$8.84 ÷ 2 = $4.42!

Answer:

The answer for your question is 1.25 m/s.

Step-by-step explanation:

this is your answer.........

I have done a hard work please mark it as brainliest

Answer:

1000/t=w

Step-by-step explanation:

The first thing we need to do is, multiply 1000 to both sides,

c(1000)=wtc

now we need to divide both sides by tc

c(1000))/(tc)=w

The c's on the left side will cancel out

1000/t=w

Step-by-step explanation:

hdhdhdhdhddjdifififiifr

Answer:

i think thats 12

Step-by-step explanation:

Answer:

[tex]a = 80[/tex]

[tex]p = 32 \sqrt{5} [/tex]

Step-by-step explanation:

p= 4 × sides

[tex]p = 4(4 \sqrt{5)} [/tex]

[tex]p = 16 \sqrt{20} [/tex]

[tex]p = 16 \times \sqrt{5 \times 4} [/tex]

[tex]p = 16 \times 2 \sqrt{5} [/tex]

[tex]p = 32 \sqrt{5} [/tex]

for question two

[tex]a = {sides}^{2} [/tex]

[tex]a = {(4 \sqrt{5} )}^{2} [/tex]

[tex]a = 16 \times 5[/tex]

[tex]a = 80[/tex]

hope it helps ❤️‍❤️‍

for any question comment me

Step-by-step explanation:

2x=8

x=8÷2

x=4

x=5+3

×=8

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

In order for two triangles to be congruent, they must have the exact same side lengths and angle measures. In this case, you know that the angles of the triangles are equal, but you are not given side lengths. In math, you can never assume that the lengths are equal just because they look like it. Therefore, the answer is B. False because you do not know a single side length. In the future, review the rules of congruent triangles: SAS, ASA, SSS, AAS, HL where S = side, A = angle, H = hypotenuse, L = leg.

3xcubed y to the fifth over 2

Answer:

(-4, 7)

Step-by-step explanation:

The x and y coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

-1 = (2 + x) / 2

-2 = 2 + x

x = -4

5 = (3 + y) / 2

10 = 3 + y

y = 7

The coordinates of point S are therefore (-4, 7).

Answer:

5

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

9r−11=34

Add 11 to both sides.

9r=34+11

Add 34 and 11 to get 45.

9r=45

Divide both sides by 9.

r= 45/9

Divide 45 by 9 to get 5.

r=5

A percentage is given by dividing a given value by a total and multiplying the result by 100

The percentage of the dartboard occupied by the bullseye is approximately 1.963 %

Reason:

The given parameters are;

The area of the dartboard, A = 1,600 cm²

The location of the center of the bullseye = (0 cm, 0 cm)

The coordinates of a point on the circumference = (√3 cm, √7 cm)

Question: Possible question with regards to the given parameter; The percentage of the dartboard covered by the bullseye

Solution;

The radius of the bullseye, r = [tex]\sqrt{(\sqrt{3})^2 + (\sqrt{9})^2} = \sqrt{10}[/tex]

The area of the bullseye, [tex]A_b[/tex] = π· r² = π × [tex](\sqrt{10})^2[/tex] = 10·π

∴ The area of the bullseye, [tex]A_b[/tex] = 10·π cm²

The percentage area is given as follows;

[tex]Percentage \ area = \dfrac{A_b}{A} \times 100[/tex]

Therefore;

[tex]Percentage \ area \ occupies \ by \ bulleseye = \dfrac{10 \cdot \pi}{1,600} \times 100 \approx 1.963 \%[/tex]

The percentage of the dartboard occupied by the bullseye ≈ 1.963 %

Learn more about percentage area here:

https://brainly.com/question/11642822

Answer:

2%

Step-by-step explanation:

Should be Choice B

Answer:

dfd

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2

(thank you dude!)

Answer:

2, and thank youuu:)

Step-by-step explanation:

Answer:

Yes it is division

Step-by-step explanation:

It should be 3

Answer: yes division

66÷22=$3 per lunch

Step-by-step explanation:

Answer:

33 1/3

Step-by-step explanation:

1. First, you want to make 6 into a fraction with a bottom/denominator of 3 to make adding 6 and 2/3 easier.  So, to make 6 into a fraction with a denominator of 3 , you multiply 6 by 3 to get 18.  The 18 is the numerator (top of the fraction) and 3 is the denominator (the bottom).  So now you have 18/3+2/3 divided by 1/5.

2. Now, add the 18/3 and the 2/3 to get 20/3 divided by 1/5.

3. After this, you want to divide.  To divide fractions, you use Keep, Change, Flip (KCF).  To do this, keep the 20/3 the same, change the division sign to multiplication, and flip the 1/5 to 5/1.  So, now you have 20/3 multiplied by 5/1.

4. Simplify this by multiplying 20 by 5 and 3 by 1 to get 100/3.

5. Now we have to create 100/3 into a mixed number.  To do this, we know that 33 multiplied by 3 is 99, which is as close as we can get to 100 without going over.  This means that we can make 100/3 into 33 and 1/3.  

Hope this helps! :) If you could give me Brainliest that would be super helpful!

The mixed fraction is 33 1/3.

A fraction represented with its quotient and remainder is a mixed fraction.

Given:

​6 2/3÷1/5​

On further solving the given expression

=20/3 ÷1/5​

Now, division of fraction is not possible

so,

=20/3 * 5/1

=100/3

=33 /13

Hence, the mixed fraction is 33 1/3.

Learn more about mixed fraction here:

https://brainly.com/question/2753661

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Answer:

L = 110 degrees

Step-by-step explanation:

all angles in a parallelogram are congruent

Answer:

How are you in college

Step-by-step explanation:

1 + 1 = 2

Answer:

2l+2w, 60+60+30+30

Step-by-step explanation:

2(length)+2(width)

The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.

Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-

Perimeter = 2 ( l +  w)

Perimeter = 2 ( 60 + 30 )

To know more about perimeter follow

https://brainly.com/question/19819849

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Answer:

y=9

Step-by-step explanation:

no matter what y is there is no +b so it would be a constant straight line. y=3(3) and there is no y intercept. hope this answers your question

Answer:

What do you mean? 14+17 is 31.. 14<17

Answer:

1. 14:31

2. 17:31

Step-by-step explanation:

i got it right on e d g e n u i t y 2020

hope it helps (:

Answer:

The answer would be rational. Please mark brainliest.

Step-by-step explanation:

I know this because the number make up a difference of y=mx+b

Answer:

ye

Step-by-step explanation:

Answer:

0.736

Step-by-step explanation:

Answer:

0.736

Step-by-step explanation:

decimal form of 92/125

Here we are given with a equation:

[tex] {x}^{3} = - 2197[/tex]

And we have to solve it with appropriate steps.

So, let's start solving.

Add 2197 to both sides of the equation,

[tex] {x}^{3} + 2197 = - 2197 + 2197[/tex]

[tex] {x}^{ 3} + 2197 = 0[/tex]

Now, using the identity:

Let's proceed further.

x³ is the cube of x and 2197 is the cube of 13

[tex](x) {}^{3} + (13) {}^{3} = 0[/tex]

[tex](x + 13)( {x}^{2} - x \times 13 + {13}^{2} ) = 0[/tex]

[tex](x + 13)( {x}^{2} - 13x + 13) = 0[/tex]

Now,

So, x = -13

And, for the second let's use the discriminate formula,

➝ D = b² - 4ac

➝ D = (-13)² - 4(1)(13)

➝ D = 169 - 52

➝ D = 117

Now, using the D. formula,

[tex]x = \dfrac{ - b \pm \sqrt{ D} }{2a} [/tex]

[tex]x = \dfrac{13 \pm \sqrt{117} }{2} [/tex]

[tex]x = \dfrac{13 \pm 3 \sqrt{13} }{2} [/tex]

So the roots of the equation are:

[tex]{ \boxed{ \bf{x = - 1 ,\: \frac{13 + 3 \sqrt{13} }{2} and \: \frac{13 - 3 \sqrt{13} }{2} }}}[/tex]

And we are done !!

#CarryOnLearning

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Answer:

2

Step-by-step explanation:

Answer:

The answer is: If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.

Step-by-step explanation: