Answer:
0.83
Step-by-step explanation:
The 3 keeps going on and on and on :)
Answer:
4 snack bars left
Step-by-step explanation:
12 snack bars= 1 dozen
Already ate 8 snack bars in total
12-8= 4
4 snack bars left on the plate
Answer:
It takes 14 years for the account balance to reach $10,296.62
Step-by-step explanation:
Given:
Principal amount = $5,887
Rate of interest = 4% and 12 times per year
Balance amount = $10296.62
To find:
The time to reach $10,296.62 = ?
Solution:
We know that
Here,
N(t) = 10,296.62
= $5,887
r = 4 % = 0.04
we have to find the t value
On substituting the given values
Taking ln to remove e we get
ln
ln(1.749) = 0.04t
t = 13.97
t = 14
Answer:
These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
