A typical exponential function is y=a

when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a

3936.6=a

divide the second equation by the first to eliminate a:
243=

log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a

a=0.183
please double check my calculation
Answer:
four more than 1/3 would be 1 and 2/3
Step-by-step explanation:
Dissecting the information:
"The husband pays a flat rate of $125 for one year" means he pays $125 irrespective of how many times he visits (x). Doesn't depend on the number of visits (x).
"The wife pays $6 per visit" means that she pays $6x, of course, being dependent on the number of visits (x).
Hence, their total cost is sum of their individual costs, $(125+6x).
Husband's cost is <em>f(x)=125, </em>wife's cost is <em>g(x)=6x, </em>and total cost is <em>h(x)=125+6x. </em>Option D is correct answer.
ANSWER: D
Answer:
0.375
Step-by-step explanation:
Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -25$ - 45$ - 75$
Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$
Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
The amount of money Lola withdrew = 35$ + 55$ + 65$ = 155$