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Papessa [141]
3 years ago
7

Roberto and Maria Santanos spend approximately $11.50 per week to wash and dry their family's clothes at a local coin laundry. A

new washer and dryer would cost them a total of $782. How many weeks will it take for the laundromat cost to equal the cost of a new washer and dryer? ​
Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

68 weeks

Step-by-step explanation:

1 week costs $11.50.

so, how many such weekly each cycles fit into the price of new machines ?

if they wait to long (to many weeks) they spend in total more money than buying a new machine.

but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).

so the break even point is simply

782 / 11.5 = 68 weeks.

after 68 weeks it has cost them exactly the same amount of money, as if they had bought new machines right away at the beginning.

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An amount of $19,000 is borrowed for 6 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of t
Galina-37 [17]
The multiplier for increasing by 7.25% is 1.0725. To get our answer we times the price by the multiplier to the power of the amount of years:

19,000 x 1.0725⁶   ( it's to the power of 6 because of the six years)
= 28,915.94
= $28,916 (to the nearest dollar)

So if the loan is to be paid in full the $28,916 (to the nearest dollar) must be paid back.
4 0
3 years ago
How do you solve this problem
Kryger [21]

Answer:

sin(A) = \frac{21}{{29} }

cos(A)=\frac{20}{29 }

tan(A)=\frac{21}{20}

sin(C) = \frac{20}{{29} }

cos(C)=\frac{21}{29 }

tan(C)=\frac{20}{21}

Step-by-step explanation:

So first we need to make sure we know the trig identities to solve this problem.

  • sin(\alpha )=\frac{opposite}{hypotenuse}
  • cos(\alpha )=\frac{adjacent}{hypotenuse}
  • tan(\alpha )=\frac{opposite}{adjacent}

Here we only have two legs of the triangle, so we will need to use the Pythagorean Theorem a² + b² = c² to solve for the missing leg, the hypotenuse in this case.

  • Solving for the hypotenuse, c, we get c = \sqrt{a^{2} +b^{2} }
  • Here a = 20 and b = 21, so plugging in these values to the equation we get: c= \sqrt{(20)^{2}+(21)^{2}  } =\sqrt{400+441} =\sqrt{841}=29

Now we can use the trig identities to figure out the missing values for the problem

  • sin(A) = \frac{21}{{29} }
  • cos(A)=\frac{20}{29 }
  • tan(A)=\frac{21}{20}
  • sin(C) = \frac{20}{{29} }
  • cos(C)=\frac{21}{29 }
  • tan(C)=\frac{20}{21}
4 0
3 years ago
Find the slope for (2, 150) and (4,130)
iris [78.8K]

Answer:

-10

Step-by-step explanation:

A slope's equation for 2 points on a coordinate plane is y² - y^1 ÷ x² - x^1

Note that the exponents aren't meaning powered, but just as a marking.

x1 is 2, x2 is 4, y1 is 150, y2 is 130

130-150 / 4-2     =     -20/2, so -10

4 0
3 years ago
What would the radius of the circle be if the diameter is 20ft?​
LekaFEV [45]

Answer:

The radius is 10

Step-by-step explanation:

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The probability of one head must be 3/8. I believe there is a 50% chance of getting a toss of more then 1 head in 3 tosses.
5 0
3 years ago
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