Using an exponential function, the inequality is given as follows:
The solution is t > 2.9, hence the tax status will change within the next 3 years.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
For this problem, the parameters are given as follows:
A(0) = 9400, r = 0.143.
The population after t years is modeled by:
The tax status will change when:
Hence the inequality is:
Then:
Since both logs are negative:
t > 2.9.
The solution is t > 2.9, hence the tax status will change within the next 3 years.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
<em>- 1.568</em>
Step-by-step explanation:
Let's assume that the base of the given logarithm is 10.
log m = 0.345 ⇒ 
= m
log n = 1.223 ⇒ 
= n
mn = × = 
= 
log = - 1.568 × log 10 = <em>- 1.568</em>
I believe the correct answer from the choices listed above is the last option. The function that represents the total cost to build the dog house would be <span>c(p)=12p+65. Hope this answers the question. Have a nice day.</span>
Answer:
-13y-3
Step-by-step explanation:
(-4y - 1) + (-9y -2)
remove parenthesis
-4y - 1 + -9y -2
combine like terms
-13y - 1 - 2
now we subtract -1 -2 = -3 so
-13y- 3
Answer:
21x/20 or can be written as x + x/20 .
Step-by-step explanation:
The number is x
step 1
x is increased by 50%
value of 50% of x = 50/100 *x = x/2
New value after this change = x + 50% increase = x + x/2 = 3x/2
Step 2 The value obtained is decreased by 30%
value of 30% newly found number is = 30% of value found in step 1
value of 30% newly found number is = 30/100 * 3x/2 = 9x/20
This value (9x/2) is subtracted from value found in step 1(3x/2) as given that value obtained is decreased by 30%
new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20
new value found after 30% decrease = (30x-9x)/20 = 21x/20
Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20
