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Gnesinka [82]
3 years ago
13

For the function f(1) = Pere, if P = 7 and r= 0.07, then what is the value of f(7)

Mathematics
2 answers:
Kipish [7]3 years ago
7 0

Answer:I think b

Step-by-step explanation:

Elis [28]3 years ago
3 0

Answer:

A. 11.4

Step-by-step explanation:

f(t) = Pe^{rt}

Data:

P = 7

r = 0.07

Calculation:

\begin{array}{rcl}f(t) & = &Pe^{rt}\\f(7)& = & 7 e^{(0.07 \times 7)}\\ & = & 7 e^{0.49}\\& \approx & 7 \times 1.632\\ & \approx & \mathbf{11.4}\\\end{array}

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Determine the y-intercept of the
Alex777 [14]
The answer would be (0,5)
8 0
3 years ago
Plz explain step by step ​
kirill115 [55]

Step-by-step explanation:

a=20⁰ vertically opposite angles are equal

b=160⁰ sum of angles on a straight line add up to 180⁰

(180⁰-20⁰=60⁰)

c=125⁰ sum of angles on a straight line add up to 180⁰

(180⁰-35⁰-20⁰=125⁰)

8 0
2 years ago
Find the domain of the function. (Enter your answer using interval notation.)
Andreas93 [3]

Answer:

(-\infty,-9)\cup(-9,\infty)

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

s(y)=\frac{7y}{y+9}

Set the denominator to 0:

y+9=0

Subtract 9:

y\neq-9

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

(-\infty,-9)\cup(-9,\infty)

And we're done :)

4 0
3 years ago
If someone could help me out with this, I would greatly appreciate it!!
kati45 [8]

We are given that revenue of Tacos is given by the mathematical expression -7x^{2}+32x+240.

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.


7 0
3 years ago
16 and 17 please I don’t know if it’s the distance formula
Trava [24]

Answer:

#16 = (0, -10)

#17 = (-18, -3)

Step-by-step explanation:

U wouldn't use the distance formula, you would need to use the Midpoint Formula, which is, M = (x1 + x2 / 2, y1 + y2 / 2). For #16, you plug in (4, -5) for M and 8 for x1 and 0 for y1, so the equation should look like this : (4, -5) = (8 + x2 / 2, 0 + y2 / 2). Then separate the equation to make it easier: 4 = 8 + x2 / 2 and the second equation : -5 = 0 + y2 / 2. So let's do the 1st equation, the first step would be to multiply the 2 to both sides. So the equation should look like this, 8 = 8 + x. Then subtract the 8 from both sides and you get 0 as your x. Now moving on to the 2nd equation, you multiply the 2 to both sides, and you get, -10 = 0 + y, as your equation, but since 0 won't affect it, -10 should be your y. Then just use these steps to solve #17, and your answer should be (-18, -3).

6 0
3 years ago
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