Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?

Answers

Answer 1

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer 2

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)


Related Questions

how to solve 3(w+3)-6w?

Answers

Answer:

-3w+9

Step-by-step explanation:

3(w+3)-6w

distribute

3w+9-6w

combine like terms

-3w+9

Answer:

Step-by-step explanation:

Tell whether each function is linear or non-linear.

Function A line1 Function B

x 0 1 2 3

y 0 1 8 27

y = –x + 5


Function A is non-linear and Function B is non-linear.


Function A is linear and Function B is non-linear.


Function A is linear and Function B is linear.


Function A is non-linear and Function B is linear.

Answers

Answer:

Function A is non-linear and Function B is linear.

Step-by-step explanation:

Linear function:

Has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

In a linear function, when x changes by 1, y will always changes by the same amount.

Function A:

When x changes by 1, y can change by various amounts. So function A is non-linear.

Function B:

y = -x + 5

In the format of a linear function, so linear

Solve 22x − 2 = 15. Round your answer to the nearest hundredth.

Answers

Answer:

0.77

Step-by-step explanation:

Original equation: 22x-2=15

Add 2 to both sides: 22x=17

Divide by 22 on both sides: x=17/22, or 0.77

Let me know if this helps!

Roger has two golden retrievers, Sadie and Buddy. buddy weighs 14 pounds more than Sadie. If their total weight is 136 pounds, how much does Sadie weigh

Answers

Answer:

Sadie weighs 61 pounds.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Sadie's weight is x.

Buddy's weight is y.

Buddy weighs 14 pounds more than Sadie.

This means that [tex]y = x + 14[/tex]

Their total weight is 136 pounds.

This means that

[tex]x + y = 136[/tex]

Since [tex]y = x + 14[/tex]

[tex]x + x + 14 = 136[/tex]

[tex]2x = 122[/tex]

[tex]x = \frac{122}{2}[/tex]

[tex]x = 61[/tex]

Sadie weighs 61 pounds.


Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?

Ashley:p=2d
Carly:p=d+5

Answers

They would on day 4 that they would be on the same page

Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0​

Answers

The Vertex is (-2,1)

And the focus is  (-2,3)

please answer i know the picture is a little blurry but please i will give you brainliest!!

Answers

Answer: the 1st one.

Step-by-step explanation: becuase today I was helping out a freind with this.  So it the first one

Which relationships describe angles 1 and 2 ?

select each correct answer

-complementary angles
-vertical angles
-supplementary angles
-adjacent angles

Answers

it should be supplementary angles :)

In this question, you have a large circle A with a radius of 6.5cm and a small circle B with radius 2.3cm. Calculate the area of the two circles. Once you have calculated the areas, take the area of circle A and subtract the area of Circle B and that will give you the area of the purple shaded region.

Answers

Answer:

116.113cm2 is the purple reigon area

Step-by-step explanation:

using pi r squared

1st circle area: 16.619

2nd circle area: 132.7322

1st - 2nd = 116.113 cm2

Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

False

True

False

True

True

What is the constant of proportionality of y=9x so what does k=

Answers

Its k = 34 if u move the constant

Share 200 in the ratio 3:1:4
(will give brainliest)

Answers

Answer:

75:25:100

Step-by-step explanation:

step 1= 3+1+4=8

step 2= 200/8=25

step 3= 25 x 3=75

25 x 1= 25

25 x 4=100

Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6

Answers

Your answer is B. 5x+8

A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round
your answer to the nearest cent if necessary.

Answers

Answer:

The 16-oz bottle is a better buy

Step-by-step explanation:

Find the better buy by finding which one has a lower price per ounce:

Calculate the price per ounce of both bottles by dividing the cost by the number of ounces

5.78/16

= 0.36

3.97/8

= 0.5

Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.

Answer:

The 16-oz bottle of parmesan cheese is the better buy.

Step-by-step explanation:

It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.

Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x

Answers

Answer:

x² + x + 1 and remainder 2

Step-by-step explanation:

Given

(x³ + 1) ÷ (x - 1)

Without using a synthetic division, we can use easier method to find the quotient.

We know the formula:

x³ - 1 = (x - 1)(x² + x + 1)

Rewrite the given as:

x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2

This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2

The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first equation be p = x³ + 1

Let the second equation be q = x - 1

A = p / q

On simplifying , we get

A = x³ + 1 / ( x - 1 )

On dividing , we get the quotient as

A = x² + ( x² + 1 ) / ( x - 1 )

A = x³ + x + 1 + ( 2/x + 1 )

Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )

To learn more about equations click :

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f(n)=n^2-4;find (-1)

Answers

Answer:

-5

Step-by-step explanation:

f(-1) = -1^2 - 4

f(-1) = -1 - 4

f(-1) = -5

I need help here with explanation pleaseeeee

Answers

(4,80) it’s easy because x comes before y

What is the inverse of the function f(x) = 2x+1

Answers

Answer:

The answer is b. h(x) = one-halfx – one-half

Step-by-step explanation:

Answer:

hey everyone its b!!!

Step-by-step explanation:

i’ll mark brainliest

Answers

A:C

Step-by-step explanation:

The radius of a circle is 11 ft. Find the circumference of the circle.

34.54 ft

69.08 ft

17.27 ft

25.14 ft

Answers

Answer:

69.12 ft

Step-by-step explanation:

The formula for circumference of a circle is 2πr

= 2 × 3.142× 11

= 69.12

Hence the circumference of the circle is 69.12 ft

Two students on roller skates stand face-toface, then push each other away. Which student will always have the fastest speed

Answers

Answer:

The student with lower weight will move faster than the one with higher weight.

Step-by-step explanation:

The students are on roller skates and it is assumed that their wheels are identical. They are on a frictionless flat horizontal ground. According to Newton's Law F=ma

Mass of student 1 is 97 kg

Mass of student 2 is 61 kg

The force magnitude is assumed to be equal and acceleration is same. The student with higher weight will have lesser force exerted than the student with lighter weight.

Is the following set a function?
{(-3, -27), (-2, -18), (1, -9), (0, 0), (1,9), (2, 18), (3, 27)}
A) Yes
B) No

Answers

Answer:

yes i think

Step-by-step explanation:

No because there’s two 1s and the x

divide the following
3554by10
4678 by 40​

Answers

3554 by 10 = 355.4
4678 by 40 = 116.95
355.4
116.95
The calculator helped me

Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?

Answers

Answer:

20 percent left

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Combine like terms.
3(2-5) – (4w=11)

Answers

Answer:

-5 = w

Step-by-step explanation:

3(2-5) – (4w=11)

Distributive property

6 - 15 - 4w = 11

Combine like terms

-9 - 4w = 11

Add 9 on both sides

-9 + 9 - 4w = 11 + 9

-4w = 20

Divide by -4 on both sides to isolate the variable

-4w/-4 = 20/-4

w = -5

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

i can solve this put first why is there an equal sign in between the parantasis

if you want to keep the equal sign delet the ()

Step-by-step explanation:

3(2-5) – 4w=11

-9-4w=11

-4w=20

w=-5

you have to do parantasis first

p--parantasis

e--exponents

m--multiplication

d--division

a--adition

s--subtraction

Write an expression that has 5 terms and that is equivalent to 5x+y

Answers

5x + y - 2 + 3 - 1. Lmk if this helps otherwise I will go further into it.

The expression should be written when there is 5 terms and that is equivalent to 5x+y should be likely 5x + y - 2 + 3 - 1.

Calculation of an expression;

Since we have to determine the 5 terms

And, it should be equivalent to 5x + y

So here the equation be like

= 5x + y - 2 + 3 - 1

hence, The expression should be written when there is 5 terms and that is equivalent to 5x+y should be likely 5x + y - 2 + 3 - 1.

Learn more about an expression here: https://brainly.com/question/24595897



9. When Diego's phone is fully charged, it will last 18 hours. How much time 1 point

is left on his phone when the battery has 15% charge remaining? *

Answers

Answer:

2.7 hours

Step-by-step explanation:

Assuming that each percentage is worth the same amount of time. Then we can use the Rule of three since this is a ratio problem and we are given three values and a variable which is the amount of time that the battery lasts at 15%. This variable is represented by the letter x. To solve this we simply multiply the diagonal values and divide by the last remaining value which gives us the value of the variable like so...

100%  <====>  18 hours

 15%   <====>  x hours

(15 * 18) / 100 = 2.7 hours

Finally, we can see that 15% charge on the phone will last 2.7 hours

Please help, I will give brainliest, I am struggling badly.

Answers

Answer:

3rd option is the amswer

In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?

Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction

Answers

Answer:

The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Trust me edge 2022

Complete the statement.
The polynomial function f(x) = ____.

(x + 2)(x - 2)(x + √3)

(x + 2)(x +√3)(x-√3)

(x - 2)(x + √3)(x-√3)

(x + 2)(x - 2)(x + √3)(x-√3)

Answers

Answer:

B

Step-by-step explanation:

edg 2020

The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

We have been given the polynomial function:

⇒ x³ + 2x² - 3x -6

Simplify the radical by breaking the radicand up into a product of known factors.

⇒ x³ + 2x² - 3x -6

Add and subtract the second term to the expression and factor by grouping.

⇒ x²(x + 2) - 3(x + 2)

⇒ (x + 2)(x² - 3)

⇒ (x + 2)(x +√3)(x-√3)

Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).

Learn more about the polynomials here:

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The question seems to be incomplete the correct question would be

If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)

The polynomial function f(x) = ____.

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