Answer:
B. 0.20 per century
Step-by-step explanation:
I calculated it logically
Answer:
72 ft
Step-by-step explanation:
8 x 9 = 72.
This is like a triangle.
One side, the hypotenuse, is the length of the ladder, 10 feet in this case.
Another side, one of legs, is the distance from the bottom of the ladder to the side of the wall, 6 feet.
The last side is what we need to find, how high up the ladder reaches.
Using the p<span>ythagorean theorem, we can find this third side.
This is written as a^2 + b^2 = c^2.
A and B are the legs, while C is the hypotenuse.
Plugging in known values, we get:
6^2 + b^2 = 10^2
Solve as much as possible:
6^2 = 36
10^2 = 100
36 + b^2 = 100
Now you must isolate b.
Subtract 36 from both sides.
100 - 36 = 64
b^2 = 64
The last step in finding b is doing the inverse of squaring, which is square rooting.
√64 = 8
So b equals 8.
This means that <span>the ladder can reach 8 feet up the wall.</span></span>
Answer: the investment would be
$110.45
Step-by-step explanation:
Initial amount deposited into the account is $100 This means that the principal is
P = 100
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 5%. So
r = 5/100 = 0.05
It was compounded for 2 years. So
t = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 100 (1+0.05/4)^4×2
A = 100 (1.0125)^8
A = $110.45
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are the following expression and we are to expand it by multiplying the term outside the parenthesis with terms inside it:
[ t e x ] - 2 x ^ 2 ( 3 x ^ 3 - 5 x ^ 2 + 6 x - 1 ) [ / t e x]
Multiplying the term [ t e x ] - 2 x ^ 2 [/ t e x ] with each of the terms inside the brackets to get:
Note that the exponents are added when multiplied and since each terms has a different exponent so they cannot be added or subtracted.
