Respuesta :
Answer:
(1) For x = –12, g (x) = -9
For x = –9, g (x) = -3
For x = –6, g (x) = 3
For x = –3, g (x) = 9
(2) The principal amount of money is $80.
Step-by-step explanation:
(1)
The expression of g (x) is,
[tex]g(x)=2x+15[/tex]
The complete table is:
x g (x)
-15 [tex]2(-15)+15=-15[/tex]
-12 [tex]2(-12)+15=-9[/tex]
-9 [tex]2(-9)+15=-3[/tex]
-6 [tex]2(-6)+15=3[/tex]
-3 [tex]2(-3)+15=9[/tex]
0 [tex]2(0)+15=15[/tex]
(2)
The formula for simple interest is:
[tex]I=P\times r\times t[/tex]
Given:
I = $40
r = 10%
t = 5 years.
Compute the value of P as follows:
[tex]I=P\times r\times t[/tex]
[tex]P=\frac{I}{r\times t}[/tex]
[tex]=\frac{40}{0.10\times 5}\\\\=80[/tex]
Thus, the principal amount of money is $80.