Answer:
D
Step-by-step explanation:
I believe D is the answer because 10^-3 = 0.001 ; there is only one answer that has 0.001 in the correct exponential form (10^-3).
Also, for the future, to correctly figure out what the exponential form, try to take the number given, let's say 10^-2 (^ means to the power of), and move the decimal place to the left, two decimal places (because of the power of -2).
Ex: 10.0 --> 0.01
Hope this helped!
Answer:
Perpendicular
Step-by-step explanation:
Answer:
152 cm
Step-by-step explanation:
Once again its a square. All sides are equal.
Square root 361 to get 19.
19 x 19 = 361
4 was sewed together.
You could either add, 361+361+361+361
Or you could multiply, 361 x 4
Either way you get 1444.
You could either square root 1444 to get the side length or you could add the previous side length to itself once to get the new side length of 38.
Now you need to get perimeter.
P=4 x length
P=4 x 38
152 cm
When a set of objects are chosen from a larger set in which the order of the object doesn't matter, we call this combination. Otherwise if the order of selection would matter this would be called a permutation.
Probability is the likelihood of selecting a particular specified object in from a specified group of objects.
Therefore our answer is B.
<span>Presumably you are saying that the 7.5% is the actual real effective per annum rate since you did not include a compounding interval. Therefore if you let R = 1.075 which is 7.5%, X = $1,000 and F(n) be the balance after n years then you can figure it out by thinking about what happens. After one year, your balance is:
F(1) = X * R
After two years, your balance is:
F(2) = ( F(1) +X ) * R
.:
F(2) = X * R^2 + X * R
After three years, your balance is:
F(3) = ( F(2) + X ) * R
F(3) = X * R^3 + X * R^2 + X * R
You can see that the general form is:
F(n) = X * summation of R^k for k = 1 to n
Applying the summation of a geometric sequence equation and you get:
F(n) = X * ( ( 1 - R^(n+1) ) / ( 1 - R ) - 1 )
Therefore the total value of the investments after 10 years is:
F(10) = $1,000 * ( ( 1 - 1.075^11 ) / ( 1 - 1.075 ) - 1 )
F(10) = $15,208.12
If you blindly use the programs in the business calculators, you'll get the wrong answer of $14,147.09 because those calculators assume that the deposit is made at the end of the year not at the beginning. The equation is slightly easier to work out that way as the summation of the geometric sequence would be for k from 0 to n-1. That's one of the downfalls of relying on those calculators, you don't actually understand what's happening.
Now the portion of that which is from the first $1,000 payment is $1,000 * 1.075^10 which is $2,061.03</span><span>
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