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3 years ago

What is a possible value for the missing term in the geometric sequence? 18, _, 8

2 answers:

4 0

13 because you do 18-8 and you get 10 and divide that by 2 and you get 5 then add 5 to 8 and you get 13 and subtract 5 from 18 and you get 13 as well. Hope that helps

jasenka [17]3 years ago

3 0

Since it's geometric, the ratio between the second and first term is equal to the ratio between the third and secons term.

So, x/18 = 8/x
x^2 = 144
So, x can be either 12, or -12

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Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly

Effectus [21]

Solution-

The price of the snow thrower = $1980

He must pay a 10% down-payment and the rest at a $116 monthly payment for 18 months.

A. How much is the down payment

Down payment amount is, 10% of $1980, i.e

$=1980\times \dfrac{10}{100}=\dfrac{1980}{10}=\$198$

B. What is the total amount of the monthly payments

A monthly payment of $116 for 18 months, i.e

$=116\times 18=\$2088$

C. How much did Jean pay for the snow thrower on the installment plan

It is the sum of down-payment and total monthly payments, i.e

$=198+2088=\$2286$

D. What is the total finance charge

It the difference between the original price and the amount paid by Jean, i.e

$=2286-1980=\$306$

E. If Jean models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d

As he paid the down-payment of $198 and then a constant monthly payment of $116, so

The first term = 198

common difference = 116

The A.P. series will be, 198, 314, 430, 546, 662,.................., 2286

4 0

3 years ago

Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.

attashe74 [19]

Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

y = (11•³√4)/3

So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).

3 0

2 years ago

If a and b are positive constants and if a(x-y) = b(y-x), what is the value of the ratio of x/y?

Mekhanik [1.2K]

Answer: x/y=1

Step-by-step explanation:

a(x-y)=b(y-x)

(a+b)x=(a+b)y

x/y=1 ans

hope this helps

8 0

3 years ago

SELECT 3 OPTIONS:

Umnica [9.8K]

It’s a positive slope, constant slope, and increasing function. Because it’s a straight line going diagonally to the top right, you know the slope is positive, constant, and the function is positive.

6 0

3 years ago

Which equation best represents the line in the graph

bulgar [2K]

Answer:

G

Explanation

4 0

3 years ago