Answer:
The new rate should be $56.67 per day
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
As per the statement:
Normal rate per day = $45
To find the new rate:
Let new rate be x per day
By definition of proportion:

By cross multiply we have;

Divide both sides by 100 we get;

Simplify:
x = $56.7
Therefore, the new rate should be $56.7 per day
To graph it, just graph

and

and see where they intersect
I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it
hmm
multiply both sides by -1

multiply both sides by



minus 1 from both sides and minus 6(3^x) from both sides

use u subsitution

we can rewrite it as

now factor
I mean use quadratic formula
for

so for 0=u^2-16u-1, a=1, b=-16, c=-1


remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor


if you take the log base 3 of both sides you get

if you use ln then

then
Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
Hey There!
To solve this problem you need to know the math term "PEMDAS". For this problem we will be using the A and S part (addition & subtraction). When an order of operation problem has only addition and subtraction, you solve the problem by the order of left to right. First, you do 14-10 which equals 4, then you add 5, which equals 9, then you add 9 to 3, that equals 12 then you add 2 to that which equals 14. You're final answer should be 14.
Hope This Helped ;)