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3 years ago

HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

8 0

Answer:

The first one is A.

The second one is C.

Step-by-step explanation:

Hope this helps :)

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Find the quotient. Your answer should be in simplest form. -4/5 divided by 8/9

Shalnov [3]

Answer : -9/10

-4/5 times 9/8 = -36/40
Then simplify that you get -9/10

8 0

3 years ago

Read 2 more answers

A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. Th

loris [4]

Answer:

30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

180° -(69° -35°) = 146°

and the distance is ...

c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015

c ≈ 30.74

The straight-line distance between the two fires is about 30.7 km.

8 0

3 years ago

Lucy recieves a gift of a twenty-one year annuity on the day she was born. The annuity pays $500 on her odd birthday and $700 on

suter [353]

Explanation:

Let i represent the nominal annual interest rate (8%). Then the effective annual multiplier of the principal is ...

(1 +i/12)^12 = (1+.08/12)^12 ≈ 1.0829995

Then the 2-year multiplier is the square of this:

1+r = (1.0829995)² = 1.1728879

We can use the formula for the present value of an annuity to refer all of the odd-birthday payments to 1 year prior to birth, then adjust by the above annual multiplier. All the even-birthday payments will have the formula applied in the usual way.

PV = P(1 -(1+r)^-n)/r

where P is the payment amount, (1+r) is the periodic multiplier, and n is the number of payments.

For the odd-birthday payments, the PV (1 year early) is ...

PV = $500(1 -(1.1728879)^-11/0.1728879 = $2391.5704

so, the amount referred to the day of birth is ...

1.0829995 × $2391.5704 = $2590.07 . . . . . PV of odd-birthday payments

The value of even-birthday payments is ...

PV = $700(1 -(1.1728879)^-10/0.1728879 = $3227.06

And the total value of both sets of payments is ...

annuity value = $2590.07 +2337.06 = $5817.13

_____

Alternate solution

You could also work this using the PV formula on the sum of ten sets of two years' payments: (700 +500/1.083) and then add the PV of the first odd-year birthday payment: 500/1.083.

This gives ...

500/1.083 + (700 +500/1.083)(1 -(1.1729^-10))/0.1729 = 5817.13

3 0

4 years ago

In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, AE = 3x - 5, and CE = x + 11.

german

Answer:

Step-by-step explanation:

For the case of a parallelogram, when the diagonals ( in our case AC & BD) are intersected, they are basically bisected ( divided into two equal halves ). Therefore when the diagonals intersect at point E, we can say that the diagonal AC is divided in two equal halves which in our case are AE and CE. since AE and CE are equal , we can say that,

$AE= CE \\or\\3x-5 = x+11 ---- (1)\\now solving (1) for x, \\3x-x=11+5\\2x=16\\x=8-----> (2)\\\\as \\ AC = AE+CE\\AC = 3x-5+x+11\\AC = 4x+6\\\\\\from (2)\\\\\\AC= 4(8)+6\\AC = 32+6\\AC = 38\\\\since AC = BD ( Diagonals are of same Length )\\therefore \\BD =38$

5 0

4 years ago

If f(x)= 2x2-4x and g(x)=5-2x evalute f(x)-g(x) for x=5

dezoksy [38]

f(x)= 2x²-4x
g(x)= 5-2x

 f(x)-g(x) = 2x²-4x - ( 5-2x) = 2x² - 4x-5+2x= 2x² -2x-5
f(x)-g(x) = 2x² -2x-5
f(5)-g(5) = 2*5² -2*5-5=50-10-5 =35
f(5)-g(5) = 35

7 0

3 years ago