<u>Answer:</u>
The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$
<u>Explanation:</u>
We know final amount is given by
Where,

A = final amount
P = initial principal balance = $3200
r = interest rate = 3.74%
t = number of time periods elapsed = 2 years
Substituting the values in the formula

A=
We know, e = 2.72
So we get A = 3449.23$ which is the available amount for the down payment of car .
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:

We found the slope:

Thus, the equation is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

Answer:
r=8.66025403784
Step-by-step explanation:
7065=π(r squared)X30
7065=94.2(r squared)
7065÷94.2=r squared
√75=r squared
8.66025403784=r
Answer:x^2 + 9x + 20
Step-by-step explanation:
You could just multiply (x+4)(x+5) and get x^2 + 9x + 20, but judging from the picture, it looks like they want you to split it into 4 rectangles
x^2 +4x+ 5x + 20 =x^2 +9x + 20, just like (x+4)(x+5)
Answer:
The first one
Step-by-step explanation:
An easy way is SOH CAH TOA
SOH is that you use sine if you there is the opposite (in this case the question mark) and hypotenuse (the diagonal line)
CAH is that you use cosine for the adjacent side (1100) and the hypotenuse.
TOA is using tangent for the opposite and adjacent side.
To fine the question mark, you would use tangent. And plug in the given (1100 for the adjacent). So tan45 = x/1100.
If you need more help or clarification, let me know!