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Harrizon [31]
3 years ago
14

You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money

to purchase a car which costs $2500. However, your parents remind you that it's probably not a good idea to empty your entire savings account so they recommend leaving a balance of $500 in your account. How many months will it take you to have enough money saved to purchase the car AND still have a $500 balance? Set up an equation and solve. ​
Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

48 months

Step-by-step explanation:

first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.

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How many feet tall is the building ​
Fantom [35]

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + \frac{3}{12} ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

\frac{AB}{ED}= \frac{BC}{DC}

\frac{h}{5.25}=\frac{55}{3.75}

h = \frac{55\times 5.25}{3.75}

h = 77 ft

Therefore, height of the building will be 77 ft.

6 0
3 years ago
Batman can clean up all of the crime in Gotham City in 8 hours working alone. Robin can do the same job alone in 12 hours. If Ro
scoray [572]
<h2>The crime gets cleaned up at 2:00 PM</h2>

Step-by-step explanation:

Let the work be w.

Batman can clean up all of the crime in Gotham City in 8 hours working alone.

\texttt{Rate of batman,}r_b=\frac{W}{8}

Robin can do the same job alone in 12 hours.

\texttt{Rate of Robin,}r_r=\frac{W}{12}

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.

Let the time of completion of work after Batman's joining be t.

We have time of working of Robin = t + 10:00 -8:00 = t + 2

So

                             t\times \frac{W}{8}+(t+2)\times \frac{W}{12}=W\\\\12t+8t+16=96\\\\20t=80\\\\t=4hours

After 4 hours of 10:00 Am work gets completed.

Time = 10:00 AM +  4 hours =  2:00 PM

The crime gets cleaned up at 2:00 PM

4 0
4 years ago
Please help im confused on the last question on my warm up!
geniusboy [140]

Answer:

Choice B: Only (-1,-5)

Step-by-step explanation:

With this one, first the equation needs to be reduced into point-slope format.

y+5=2(x+1)

Distributive Prop.

y+5=2x+2

Carry over the 5 to the opposite side.

y=2x-3

Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.

Choice A: X is 5; Y is 10

y=2x-3

y=2(5)-3

y=10-3

y=7

This does not give a y value of 10, so it is false.

Choice B: X is -1; Y is -5

y=2(x)-3

y=2(-1)-3

y= -2-3

y= -5

This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.

3 0
3 years ago
Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
dsp73

Answer:

0.35%

Step-by-step explanation:

4 0
3 years ago
WHICH ONE DOESN'T BELONG? Which figure does not belong with the other three? Explain your reasoning.
juin [17]
The sphere. All the others are prisms.
5 0
3 years ago
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