Hello,
P(x)=150*1.07^x
==>ln(P(x)/150)=x*ln(1.07)
==>x=(ln(P(x)-ln(150))/ln(1.07)
If you know how much is P(x) then you have the answer.
Answer:
Step-by-step explanation:
Answer:
The numerical expression would be
1
−
4
x
.
Explanation:
1
[One] - [minus] [the product of]
4
[four] and
x
, [unknown number].
4
x
is the product of 4 and x
(
4
⋅
x
)
.
Answer: 3
Step-by-step explanation:
Answer:
The three consecutive integers are 12, 13, 14.
Step-by-step explanation:
Encode the question in an equation. We are given two facts: (1) the three integers are consecutive, and (2) they relate to each other through a sum.
Pick any of the integers (first, second, or third) and call it n. Then write the two others correspondingly in terms of n. I pick the middle one as n, so the three consecutive integers are (n-1), n, (n+1). That's (1). As for (2), here is the fact:
Lo and behold, one equation with one unknown! Easy to solve for n to give us the middle integer, n:
The three consecutive integers are 12, 13, 14.
The equation of the perpendicular line is:
y = (-1/13)*x - 87/13
<h3>
How to get the line equation?</h3>
For a general linear equation:
y = a*x + b
Another linear equation that is perpendicular to the above one is given by:
y = (-1/a)*x + c
Where a, b, and c are real numbers.
In this case, we want to find a perpendicular line to:
y = 13*x - 2
Then it will be something like:
y = (-1/13)*x + c
To find the value of c, we use the fact that it must pass through the point (4, -7), then:
-7 = (-1/13)*4 + c
Now we can solve that for c:
-7 + 4/13 = c
-87/13
Then the linear equation is:
y = (-1/13)*x - 87/13
If you want to learn more about linear equations:
brainly.com/question/1884491
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