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Jet001 [13]
3 years ago
10

3) Ashley uses the two points on the coordinate plane to represent the location of her house and the public library. Each unit o

n the graph represents 1 mi. How far is the public library from Ashley’s? Show your work.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles
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Wire is commonly made by putting hot metal through a hole in a plate. What length of wire, of diameter 1mm, can be made from a 1
shtirl [24]
Basing on the question the volume of metal should be equal to the volume of the wire.
We already have the volume of the metal which is 1cm cube.
To get the volume of the wire, the equation is V=3.14 x r^2 x h
since the volume of the wire is same as the volume of the metal, we simply substitute.

1 cm^3 = 3.14 x r^2 x h

h is the length of the wire.
the diameter of the wire is 1 mm or 0.1 cm, to get the radius we divide it by 2, 0.1 cm / 2 is 0.05 cm, we substitute

1 cm^3= 3.14 x (0.05 cm)^2 x h
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7 0
3 years ago
You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon
sergejj [24]

Answer:

  $13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

  FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

  FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

  FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

  $1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  = $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0
3 years ago
Divide.<br><br> 7 9/6 divided by 2 3/4
rosijanka [135]

Answer:

2 20/69

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If 120 marks is 60% what is full marks
AveGali [126]
Let's say is "x", so, then "x" is the 100%, and we know that the 60% is 120, what the dickens is "x" anyway?

\bf \begin{array}{ccll}&#10;marks&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;x&100\\&#10;120&60&#10;\end{array}\implies \cfrac{x}{120}=\cfrac{100}{60}\implies x=\cfrac{120\cdot 100}{60}
3 0
2 years ago
Please response ASAP!<br><br> 2+3=<br> 9+2=<br> 0+1=<br> 7+4=
Stolb23 [73]

2+3=5

9+2=11

0+1=1

7+4=11

3 0
2 years ago
Read 2 more answers
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