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: The initial height of the ball is 12 feet.
Step-by-step explanation:
We have the function
, which models the height (in feet) of the ball after
seconds.
Then, as the height is in function of the time, we know that the ball is in the initial height when:

So, to find the initial height, you need to substitute
into the function:

Therefore, the initial height of the ball is 12 feet.
Answer:
<h3>X=18</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY:</em></u>
A(B+C)=AB+AC
A(B-C)=AB-AC
2(3x – 4) + 10 = 5(x + 4)
2(3x-4)+10 (First, expand by using distributive property.)
2*3x=6x
2*4=8
6x-8
6x-8+10
-8+10 (Add and subtract.)
-8+10=2
6x+2
5(x+4)
5*x=5x
5*4=20
5x+20
6x+2=5x+20
6x+2-2=5x+20-2 (Subtract 2 from both sides.)
20-2 (Solve.)
20-2=18
6x=5x+18
6x-5x=5x+18-5x (Then, subtract 5x from both sides.)
18-5x (Solve.)
18-5x=18
x=18
So, the correct answer is x=18.
Answer: the inequality is 5 x y < 7
hope this helped, i might be wrong though