ALGEBRA PLEASE HELP ANSWER BOTH! I need the steps and the answers..

23.

a)The object hits 150 feets after 9 seconds or 1 second

b)150 ft , time is 9 sec or 1 sec

24.

a) y=125000(0.8)^x

b)$40960

Step-by-step explanation:

23.

Given the equation that models the height as

h=-16t²+160t+6 and h=150, re-write the equation as

150=-16t²+160t+6

150-6=-16t²+160t

144=-16t²+160t

16t²-160t+144=0divide the terms by 16

t²-10t+9=0

factorize as

t²-t-9t+9=0

t(t-1)-9(t-1)=0

(t-9)(t-1)=0

t-9=0

t=9  or

(t-1)=0

t-1=0

t=1

The object hits 150 feets after 9 seconds or 1 second

b) maximum height is given as

h=-16t²+160t+6

h=-16(9²)+160*9+6

h= -1296 + 1440+6 = 150 ft

Time taken is 9 seconds or 1 second

24.

a)The formula for exponential decay is ;

y=a(1-b)^x

where

a=original amount

b=decay factor as a percentage

x=exponent, how often the decay occurs

Given that;

a=$125000

b=20% =0.2

Then

y=125000(1-0.2)^x

y=125000(0.8)^x is the exponential decay function

b)Given x=5

y= 125000(0.8)^5 =$40960

inverse operation of addition