Isabella saved $13,000 and bought a car that cost $11,675. The insurance for the car will cost $650 per year.
How many full years will Isabella be able to pay for car insurance with her remaining savings?

Answers

Answer 1

Answer:

isabella will be able to pay 2 full years of insurance with her remaining savings

Step-by-step explanation:

as we know isabella saved $13,000

the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining

insurance for a year costs $650,

so we will divide her remaining sum by the yearly cost giving us -

1,325/650

= ‎‎‎2.0.3....

this means that she will be able to pay for 2 full years of insurance with her remaining savings

hope this helped:)

Answer 2
Answer:  2 years

========================================================

Explanation:

x = number of years

Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.

For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.

The expression 650x is added onto the 11675 which is the cost of the car.

Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.

Set this equal to 13000 and solve for x

650x+11675 = 13000

650x = 13000 - 11675

650x = 1325

x = 1325/650

x = 2.03846 which is approximate

Rounding down to the nearest whole number gets us to x = 2

She will be able to afford 2 full years of insurance

Note that if x = 3, then,

650x+11675

650*3+11675

13625

Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.


Related Questions

Please help me Simplify: 6! − 3!

Answers

Answer: Option B 3!((6×5×4)-1)

Step-by-step explanation:

6! - 3!

= (1×2×3×4×5×6) - (1×2×3)

= 720 - 6

= 714

As you told you forgot to put options lemme answer it.

It will be option B

3!((6×5×4)-1)

It will be 6((6×5×4)-1)

= 6(120) -6

= 720 - 6

= 714

please click thanks and mark brainliest if you like :)

[tex]\\ \sf\longmapsto 6!-3![/tex]

[tex]\\ \sf\longmapsto (6\times 5\times 4\times 3\times 2\times 1)-(3\times 2\times 1)[/tex]

[tex]\\ \sf\longmapsto (720)-6[/tex]

[tex]\\ \sf\longmapsto 714[/tex]

Note:-

[tex]\boxed{\sf n!=n\times (n-1)(n-2)\dots}[/tex]

or

[tex]\\ \sf\longmapsto n!=n\times( n-1)![/tex]

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?

Answers

Answer:

f(x) = 3x - 14

Step-by-step explanation:

note that y = f(x), thus rearrange the equation making y the subject.

Given

y - 3x = - 14 ( add 3x to both sides )

y = 3x - 14 , that is

f(x) = 3x - 14 ← in functional notation

Would the function ƒ(x) = 4 be considered a step function? Explain your reasoning.

Answers

Hey there! I'm happy to help!

A step function is a function that looks like stairs when you graph it. Normally the end of one line will be graphed as an open circle (less or greater than, not equal to) while the other end would be a closed circle. This allows for a new line of the function to start directly above it without it not being a function (an input cannot have two outputs)

The function f(x)=4 is just a horizontal line as it has a slope of 0 (there is no x on the right side of the equation), so this doesn't resemble a step function.

Have a wonderful day and keep learning! :D

What is the decimal equivalent of 9.7x10^5
A. 0.000097
B. 970,000
C. 9,700,000
D. 97,000,000

Answers

Answer:

B. 970,000

Step-by-step explanation:

Move the decimal 5 places to the right, since the exponent is a positive 5.

9.7 x 10 = 970,000.

If it is a negative exponent, you would have to move the decimal to the left.

Please please please please help

Answers

Answer:

14

Step-by-step explanation:

Answer: n=3+7+6

N=10+6

N=16

Step-by-step explanation:

Find the value of each of the following: a. |15| b. |−15| c. −|15| d. −|−15| *Note: the numbers are inside the 2 parallel lines*

Answers

Answer:

a is 15, b is 15, c is -15, and d is -15 also

Step-by-step explanation:

The 2 parallel lines that surround the number are called "absolute value signs" everything inside them has an outcome of a positive number and in this case the number is 15. Like I said the number(s) inside the absolute value signs have to have a outcome of a positive number, notice in c and d there is a negative sign outside the absolute value signs. Therefore you multiply the negative seperately so, 15(-1) is -15.

2.(08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint:
You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

Answer:

Step-by-step explanation:

Start by finding the radius

d = 8

r = d/2

r = 8/2

r = 4

Next find the height

the height = 3 times the radius

the height = 3 * 4

The height = 12

Volume = pi * r*r * h

pi = 3.14

r = 4

h = 12

V = 3.14 * 4 * 4 * 12

V = 602.88

A rhombus that is a rectangle is called

Answers

square ?

although this statement doesn't make any sense.

Answer:

Square!

Step-by-step explanation:

A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.

Hope helped.. If yes mark me BRAINLIEST

TYSM!

Ricky went to buy stationary to New Paper Mart. He found missing data in the bill as shown below. Find the values of A, B, C and D and complete the bill.

Answers

Answer:

The value of A = 36

The value of B = 42

The value of C = 30

The value of D = 12

Step-by-step explanation:

A= $6 x 6= 36

B= 336 ÷ 8= 42

C= $15 x 2= 30

D= 24 ÷ $2= 12

Find complete question in the attachment

There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.

Answers

Answer:

4 bus is required for field trip to carry 200 passengers.

Step-by-step explanation:

Total no . of passengers = 200

let the be x bus required to carry 200 passengers

capacity of 1 bus = 60 passengers

capacity of x bus = 60*x passengers = 60x passengers

Thus,

60x = 200

x = 200/60 = 3 2/3

thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4

Thus, 4 bus is required for field trip to carry 200 passenger.

PLEASE HELP ME FAST...​

Answers

Answer:

Sequence a) Pattern: (-2) -9, -11, -13, -15, -17

Sequence b) Pattern: (-5) -15, -20, -25, -30, -35

Sequence c) Pattern: (-6) -13, -19, -25, -31, -37

Hope this helps!

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------------

A (Subtracting by 2): -9, -11, -13, -15, -17.

B(Subtracting by 5): -15, -20, 25, -30, -35

C(Subtracting by 6): -13, -19, -25, -31, -37

help me please!!! its in the picture

Answers

Hi, I'm happy to help!

First, we need to find BC. We know, because B is the midpoint of AC, that AB and BC are congruent, or the same length. We are told that AB is 3.

So, BC is 3 also.

Next, we need to find AC. AC is a combination of AB and BC, so, we just add them.

3+3=6

AC is 6.

Finally, we need to find DE. We know that AC and CE are congruent because of this sign: ≅. This means they are the same length. We can then know that CE is 6 also. To find DE we need to take the length of CD away from CE. We know that CD is 2, so now, we subtract.]

6-2=4

DE is 4.

I hope this was helpful, keep learning! :D

Find the midpoints of the points (-3,-2) and (1,-4)

Answers

Answer: (-1,-3)

Step-by-step explanation:

midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]

[tex](\frac{-2}{2},\frac{-6}{2})[/tex]

-2/2=-1

-6/2=-3

So the midpoint is (-1,-3)

Please mark brainliest  

Recall the difference between an equation and an inequality. Then, identify whether these mathematical statements represent an equation or an inequality.

Answers

Answer:

If it were an equation, it would be in the form ax+by+c=0, however if it were an inequality, instead of the equal sign it would be an inequality sign like greater than or less than.

Step-by-step explanation:

Find the value of x needed to make the equation below true. *
-4(1.5x-5)+4x=26

Answers

Answer:

-3

Step-by-step explanation:

First we need to distribute the -4.

-6x+20+4x=26

-2x+20=26

subtract 20 on both sides

-2x=6

divide out -2

x=-3

The answer is -3 to this equation

20
19) Mindy and Cindy bought 64 grapes.
Cindy ate 3/8 of the grapes and Mindy ate
the rest. How many grapes did Mindy eat?

Answers

Answer:

40 grapes

Easy explanation:

64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten? It should be written as 8x−15x. It should be written as −2x−5x. It should be written as x−8x. It should be written as −x−7x. I think it should be B but im not quite sure Is the given equation a quadratic equation? x(x−6)=−5 The equation is not a quadratic equation because there is no x2-term. The equation is a quadratic equation because there is an x2-term. The equation is not a quadratic equation because the expression is not equal to zero. The equation is not a quadratic equation because there is a term with degree higher than 2. For this one i think its A but once again im not sure. Which of the following is an example of the difference of two​ squares? x2−9 x3−9 (x+9)2 (x−9)2 this one i have no clue i would appreciate it if anyone could explain this one.

Answers

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

Factor by grouping.

f(x) = x^2. What is g(x)?

Answers

g(x) = ax^2
y = ax^2
16 = a1^2
a = 16

Therefore, g(x) = 16x^2

Hi! Can someone help me solve this question. Thanks

Answers

by directors cut, if it’s how much he took away its 198 minutes. if it’s how much the video was, its 162.

Last month, Seth made money by selling stocks. His investment income was $401. This month, Seth's investment income is - $261. what does this mean

Answers

Answer:

This means that because of this month Seth's investment income has decreased by 261, and now is $140.

401-261=140

Answer:Seth lost money

Step-by-step explanation:

Since the investment income was $401

And now is -261 meaning that Seth lost money last month

If the nth term of A.P. are 7, 12, 17, 22.....is equal to the nth term of another A.P. 27, 30, 33, 36. Find the value of n?​

Answers

Answer:

[tex]n = 11[/tex]

Step-by-step explanation:

We are given two arithmetic sequences:

7, 12, 17, 22... and 27, 30, 33, 36...

And we want to determine n such that the nth term of each sequence is equivalent.

We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

The first sequence has an initial term of 7 and a common difference of 5. Hence:

[tex]\displaystyle x_n = 7 + 5(n-1)[/tex]

The second sequence has an initial term of 27 and a common difference of 3. Hence:

[tex]x_n = 27 + 3(n-1)[/tex]

Set the two equations equal to each other:

[tex]7 + 5 (n-1) = 27 + 3(n-1)[/tex]

Solve for n. Distribute:

[tex]7 + (5n - 5) = 27 + (3n - 3)[/tex]

Combine like terms:

[tex]5n + 2 = 3n + 24[/tex]

Isolate:

[tex]2n = 22[/tex]

Divide. Hence:

[tex]n = 11[/tex]

In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.

Find the measure of b.

Answers

Answer:

i'm pretty sure it's 45 degrees?

Answer:

Step-by-step explanation:

b = 25°

Identify the terms, like terms, coefficients and constants of the following expressions: a) 9 − z + 3 − 2z b) 7 − 5b + 1 terms: _____________ terms: ______________ like terms: ______ like terms: _______ coefficients: _____ coefficients: _____ constants: ______ constants: ______

Answers

Answer:

See below.

Step-by-step explanation:

a) 9 − z + 3 − 2z                             b) 7 − 5b + 1

terms: 9, -z, 3, -2z                          terms: 7, -5b, 1

like terms: 9 & 3; -z & -2z              like terms: 7 & -1

coefficients: -1, -2                           coefficients: -5

constants: 9, 3                                constants: 7, 1

 

Express the following in the radian measure 240degree
, -315degree
, 570degree

Answers

240°= 4π/3 radians
-315°= -7π/4 radians
570°=19π/6 radians

rewrite without parentheses and simplify (y-5)^2

Answers

Answer:

y^2 - 10y + 25

Step-by-step explanation:

(y - 5)^2 =

(y - 5) • (y - 5)

Multiply y times y

y^2

Add 5 and 5

10

Multiply 5 and 5

25

Add these terms together

y^2 - 10y + 25

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

(a - b)² = a² - 2ab + b²(a + b)² = a² +2ab + b²(a - b) (a + b) = a² - b²

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

If 3x + 6y = 7z, find x + 2y in terms of z.

Answers

Answer:

Does the answer help you?

One of the factors of 6x3 − 864x is 4 x2 x + 12 x − 8

Answers

Your answer is x + 12

Hope this helped!

Answer:

x+12

Step-by-step explanation:

Correct on test

what is a ray that bisects an angle into two congruent angles?
- colilinear
- protractor postulate
- angle
- angle bisector
- angle addition postulate

Answers

Answer:

An angle bisector

Step-by-step explanation:

An angle bisecter

What are the opposites of 3,7,5, and -2 2

Answers

Answer:

-3, -7, -5, 2, and -2

Step-by-step explanation:

When you are looking for opposites just think about a number line.

You are on the positive side

What is the opposite of a positive... negative

The same for the other way around

What is the opposite of a negative... positive

Answer:

Step-by-step explanation: The opposites are what you would imagine them to be, positive and negative.

the answer is -3, -7, -5 and 22

How do I solve this question 5x - [7 - (2x - 1)] = 3(x - 5) + 4(x + 3)

Answers

Answer:

x = 6/4, or x = 3/2, OR x = 1 1/2

Step-by-step explanation:

5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)

Pick one side to work on first, I will chose the right side,

Distribute on the right side.

5x - [7 - (2x-1)] = 3x - 15 + 4x + 3

Now, add like terms on the right side.

5x - [7 - (2x-1)] = 7x - 12

Now, to isolate 7 - (2x -1), subtract 5x from both sides.

so now,

-7 - (2x-1) = 2x - 12

Now, we can add 7 to both sides of the equation to isolate -(2x-1)

we add instead of subtract because the seven is a negative.

-(2x-1) = 2x - 5

Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.

-2x + 1 = 2x - 5

Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.

6 = 4x

Divide both sides by 4

x = 6/4, or x = 3/2, OR x = 1 1/2

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ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!) Internet radio probably uses UDP because it is a connection-less protocol and streaming media typically does not require an established connection.a. Trueb. False #Recall that input from a user is always in the form of a string. #Write a function called "input_type" that gets user input and #determines what kind of string the user entered. The user input #will be supplied as an argument to the function like normal. # # - Your function should return "integer" if the string only # contains characters 0-9. # - Your function should return "float" if the string only # contains the numbers 0-9 and at most one period. # - You should return "boolean" if the user enters "True" or # "False". # - Otherwise, you should return "string". #Write your function here! which phrase matches the algebraic expression bellow? 2(x+7)+10 prove that tan theta + cot theta = sec theta cosec theta- 2 Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21 What parts of North America did England control? Why was Guanghi a hero and why Simplify.2(x+2) - 4x Which is not a characteristic of all metals? Select one: a. soft and easy to cut b. Good electrical conductors c. Ductile and malleable It is important that my job involves thinking about complexProblems How many ways can you arrange your 3 statistics books, 2 math books, and 1 computer science book on your bookshelf if (a) the books can be arranged in any order In Brazil, the well-to-do live in fashionable neighborhoods, go to private schools, ride in new cars, and shop at malls. However, the urban poor live in distant housing projects, take long bus trips to work, go to public schools or drop out, and shop at small local shops. This reflects __________. EarthShapers Inc., a manufacturer of heavy construction equipments based in U.S.A., maintains large sales and support operations overseas. Before sending new employees to its operations in Japan, it requires the employees to take courses in Japanese history and culture so that they can adjust more easily to living in Japan. This training focuses on the _____ component of international competence training. Find g(-3)+5 if g(x)=2x-1 y is inversely proportional to x. When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one) Which of the following statements is not correct? Group of answer choices The deadweight loss that arises in monopoly stems from the fact that the profit-maximizing single-price monopoly firm produces a quantity of output that is smaller the socially-efficient quantity. Consumer surplus is smaller with perfect price discrimination than for a single-price monopolist that can not price discriminaten with a single price monopoloblem caused by monopoly is monopoly profit. For a given demand curve, the profit for a single-price monopolist is larger than for a monopolist that can price discriminate. The deadweight loss caused by monopoly is similar to the deadweight loss caused by a tax on a product. Wookie Company issues 8%, five-year bonds, on January 1 of this year, with a par value of $108,000 and semiannual interest payments. Semiannual Period-End Unamortized Premium Carrying Value (0) January 1, issuance $8,271 $116,271 (1) June 30, first payment 7,444 115,444 (2) December 31, second payment 6,617 114,617 Use the above straight-line bond amortization table and prepare journal entries for the following: a) The issuance of bonds on January 1. b) The first interest payment on June 30. c) The second interest payment on December 31. Plz help, will mark brainliest! g If the risk-free rate is 5%, return on the market is 8%, and beta is 0.5, a stock with a return of 7% is likely: Group of answer choices Correctly valued Undervalued None of the options Overvalued