The rule for secants tells you
EC·ED = EB·EA
(x+4)(x+5) = (x+1)(x+12)
9x+20 = 13x+12 . . . . . . simplify, subtract x²
8 = 4x . . . . . . . . . . . . . . add -12-9x
2 = x

The value of x is 2.

8 0

3 years ago

7. Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first

sesenic [268]

Answer:

Step-by-step explanation:

Let the first term is n, then the second term must be an where a is a common ratio, and the third term is a^2 n

so, n + an = 24

n + an + a^2 n = 26

solve for a, then solve for n

6 0

3 years ago

Which sum will be neither positive nor negative. a. 3+2 b. -4+(-4) c. -6+6 d. 7+(-6)

anastassius [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

If you're starting salary is 40,000 and you receive a 3% increase at the end of every year what is the total amount in dollars y

storchak [24]

$\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &40000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=\textit{elapsed time}\to &15\\
\end{cases}
\\\\\\
A=40000(1+0.03)^{16}\implies A=40000(1.03)^{16}$

7 0

2 years ago