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barxatty [35]
3 years ago
10

Arnie is an american teaching english in Japan,and the currently has 55,000 yen in his bank account.If the excham=nge rate chang

es from 1 us dollar=90.77 Japanese yen to 1 US dollar=91.24 Japanese yen what happens to the value in US dollars of the money in Arnie's bank account?
A. it increases by $3.12
B it decreases by $3.12
C. it decreases by $25,850.00
D. it increases by $25,850.00
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0
It decreases by $3.12
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A standard die is rolled 600 times. How many times would you expect to roll a number
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Their are 3 numbers less than 4 on a die with 6 sides so 3 is 50% of 6 so then it should land on a number less than 4 50% of the 600 rolls to get 300
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3 years ago
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Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe
8090 [49]

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

7 0
2 years ago
Round to the nearest tenth.
laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

<u>Recall the Law of Cosines</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)

<u>Identify angles and sides</u>

<u />m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6

<u>Solve for side "a"</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2

Therefore, the length of line segment BC is about 8.2 units

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A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.20. If a point on
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Answer:

We have

tan 12.5  = 60 / adj       rearrange  as

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N six years, john will be four times as old as mary is right now. right now, john is twice as old as mary. how old is john
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John is 6 years old and mary is 3. 
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