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WINSTONCH [101]
2 years ago
7

Jobie starts with $325 in her piggy bank. Each month she adds $10.

Mathematics
2 answers:
astraxan [27]2 years ago
6 0
I think it is the fourth one
tangare [24]2 years ago
3 0

A recursive formula represent the nth terms of a sequence in terms of it's previous (n-1)th term and it include first term.

Let's assume,

a_{1} = First term,

a_{n} = nth term,

a_{n-1}= Previous term of nth term or (n-1) the term.

According to the problem,

Jobie starts with $325 in her piggy bank. Each month she adds $10.

Which means first term: a_{1} = 325

Since he is adding $10 each month. So, this month if he will have a_{n-1} then in the next month he will have 10+a_{n-1}.

So, the recursive formula will be ,

a_{n} =10+a_{n-1} , a_{1} =325

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
3 years ago
HELP! WILL MARK BRAINLIEST WITH A EXPLANATION!!!!please & thank u
mamaluj [8]

Answer:

The answer is A

Step-by-step explanation:

8 0
3 years ago
Please help me asap have a great day
GREYUIT [131]

Answer:

C, 15

Step-by-step explanation:

i looked it up

5 0
3 years ago
Solve the following system using the substitution method.
Liono4ka [1.6K]
X = (15 - 8y)/9

-5[(15 - 8y)/9] + 12y = -107

(-75/9) + (40/9) + 12y = -107

y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

3 0
3 years ago
What is the integral of 1/(y²-1)
ANTONII [103]
Hello here is a solution : 

3 0
3 years ago
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