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RUDIKE [14]
4 years ago
6

Find the common ratio for the following sequence. Type a numerical answer in the space provided. If necessary, use the

Mathematics
1 answer:
VashaNatasha [74]4 years ago
6 0

Answer:

-1

Step-by-step explanation:

the common ratio in this geometric series is -1

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A person invest 7900 in an account growing at a rate allowing the money to double every 8 years. How much money would be in the
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There will be $7,900.

Step-by-step explanation:

Seeing as it will double every EIGHT years, and 5 is less than eight, the amount will stay the same.

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3 years ago
Gas in Germany cost 1.50 euros per liter. how much is this in dollars per gallon
SIZIF [17.4K]
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.

Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.

The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:

3.78 * 1.50 = €5.67

Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.


So, our answer is that the cost is $6.97 per gallon.




Hopefully this is correct and makes sense to you. This is how I would approach the question.


3 0
3 years ago
A ship leaves port on a bearing of 34.0 and travels 10.4 mi. the ship then turns due east and travels 4.6mi. how far is the ship
Natasha2012 [34]
A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)

The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi

the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles

It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
90-39.6=50.4°
6 0
4 years ago
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