To get the number of years it will take for the tuition fee to double we use the compound interest formula, this is given by:
FV=p(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=years
from the information given, we are required to solve for n given that:
FV=$20,000
p=$10,000
r=7%
thus plugging in the formula we shall have:
20000=10000(1+7/100)^n
solving for n we have:
2=(1.07)^n
introducing natural logs we get:
n=ln2/ln1.07
n=10.25 years
Answer: 10.25 years
Given:
The point on the terminal side of theta is (4,-7).
To find:
The exact values of sin theta, secant theta, and tangent theta.
Solution:
If a point is on the terminal side of theta and , then
The point on the terminal side of theta is (4,-7). Here, and .
Now,
Therefore, .
If there are x $13 each books and y $17 each books, then we can build the following equations:
x + y = 8 (or y = 8 - x)
13x + 17y = 128 (or y = 128/17 - 13x/17)
:)
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If
is the component for state
, then you have
which means
. So the state vector is
.
Answer:
16
Step-by-step explanation: