Tetsuo has decided to purchase a new car. He decides to put 10% down and finance the remaining balance. The bank
offers Tetsuo a 36 month loan at 6.71%. If the car is valued at $32,000, what will his monthly payments be?
a. $983.93
c. $782.65
b. $885.45
d. $688.88
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Answer:

6%

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

2400=4000x r x 10

2400=40000r

2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6

Answer:

I think its C .

The coefficients a and b for the linear function are given by:

a = -2, b = 5.

A linear function is modeled by:

y = ax + b

In which:

Given two points, the slope is given by change in y divided by change in x, hence, for points AB:

a = (-1 - 7)/(3 - (-1)) = -8/4 = -2.

Hence:

y = -2x + b.

When x = -1, y = 7, hence the value of b is found as follows:

7 = -2(-1) + b

b = 5.

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Answer:

A

Step-by-step explanation:

when plotted this is 20,0

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

Answer:

49 is not a prime number

Step-by-step explanation:

7 times 7 = 49

Answer:

C) 49

Step-by-step explanation:

Prime numbers are numbers that can only be factored into 1 and it's own number.

In the case of 49, it is a composite number.

Factors of 49: 1 , 7 , 49

1 x 49 = 49

7 x 7 = 49

49 x 1 = 49

~

Answer:

34

Step-by-step explanation:

34*34=(30+4)^2=900+16+240=1156

The production cost of company 1 is higher than company 2, and when producing the same number of units, company 2 has a lower production cost than company 1. This indicates that when producing the same number of units, company 2 has a lower production cost than company 1.

The given function represents the production cost f(x), in dollars, for x number of units produced by company 1:f(x) = 0.25x² − 8x + 600

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:x     g(x)6     862.28     856.810   85512   856.814   862.2

To determine whether the production cost of company 1 is less than the production cost of company 2 when producing the same number of units, we must find the production cost of both companies for each given value of x and then compare them. Using the formula above, the production cost of company 1 for each given value of x is:

f(6) = 0.25(6)² − 8(6) + 600= 81 dollars

f(8) = 0.25(8)² − 8(8) + 600= 88 dollars

f(10) = 0.25(10)² − 8(10) + 600= 95 dollars

f(12) = 0.25(12)² − 8(12) + 600= 100 dollars

f(14) = 0.25(14)² − 8(14) + 600= 103 dollars

The production costs of company 2, which are given in the table, are:g(6) = 862.2 dollars

g(8) = 856.8 dollars

g(10) = 855 dollars

g(12) = 856.8 dollars

g(14) = 862.2 dollars

We can see that for each value of x, the production cost of company 1 is higher than the production cost of company 2. Therefore, when producing the same number of units, the production cost of company 2 is less than the production cost of company 1.

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Answer:

1)C 2)A  3)D

Step-by-step explanation:

A. - incorrect, we can see that Jack need add 1 more layer on picture

B. - correct. 8×2=16

C. - correct. cube's side is 1 centimeter, 1×8=8

D. - incorrect, we can see that box is 2 centimeters high

E. - correct

\(\text{volume}=\text{1st side}\times\text{2nd side}\times \text{height}\\\text{1st side}=2\\\text{2st side}=8\\\text{height}=2\\\text{volume}=2\times2\times8=32 cm^3\)

F - incorrect, i counted volume in E

Answer: BCE

Sorry if i have mistakes in text, i'm from russia tho

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.

In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.

But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.

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The statement is true: A number

\(�\)

c is an eigenvalue of an

\(�×�n×n matrix �A if and only if the equation (�−��)�=0(A−cI)x=0\)has a nontrivial solution.

To justify this answer, let's consider the reasoning:

Definition of Eigenvalue:

An eigenvalue of a matrix

\(�A is a number �c such that there exists a non-zero vector �x�=��Ax=cx.\)

Rewriting the Eigenvalue Equation:

The equation

\(��=��\)

Ax=cx can be rearranged as

\((�−��)�=0\)

(A−cI)x=0, where

�

I is the

\(��\)

n×n identity matrix.

Nontrivial Solution:

For the equation

\((�−��)�=0\)

(A−cI)x=0 to have a nontrivial solution, there must exist a non-zero vector

�

x such that

\((�−��)�=0(A−cI)x=0.Non-Zero Vector �x:If (�−��)�=0\)

(A−cI)x=0 has a nontrivial solution, it means that there exists a non-zero vector

�

x that is in the null space (kernel) of

\((�−��)(A−cI), i.e., �≠0x=0 and (�−��)�=0(A−cI)x=0.\)

Null Space and Eigenvalues:

The null space of

\((�−��)\)

(A−cI) contains all vectors

\(�x such that (�−��)�=0(A−cI)x=0.\) Therefore, if there exists a non-zero vector

�

x in the null space, it implies that

�

c is an eigenvalue of

�

A.

Conversely, if

�

c is an eigenvalue of

�

A, then there exists a non-zero vector �

x that satisfies

(\(�−��)�=0(A−cI)x=0. This implies that (�−��)\)(A−cI) is singular, and hence,

\((�−��)�=0(A−cI)x=0 has a nontrivial solution.\)

Based on these justifications, we can conclude that the statement is true: a number

\(�c is an eigenvalue of an �×�n×n matrix �A\) if and only if the equation

\((�−��)�=0\)

(A−cI)x=0 has a nontrivial solution.

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Answer:

2(x^2-16y^2)

Step-by-step explanation:

9514 1404 393

Answer:

  2(x -4y)(x +4y)

Step-by-step explanation:

Once you factor out the common factor of 2, what remains is the difference of squares. That can be factored further.

The factoring of the difference of squares is ...

  a² -b² = (a -b)(a +b)

Then we have ...

  2x² -32y² = 2(x² -16y²) = 2(x² -(4y)²)

  = 2(x -4y)(x +4y)

Answer:noooo

Step-by-step explanation:

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

b) log₇ (¹⁴⁷/₁₆)

         log (7)

If f(x) is a linear function, it can be represented by the equation of a straight line in the form:

f(x) = mx + bwhere m is the slope of the line and b is the y-intercept.

Given that f(-5) = 3 and f(5) = 2, we can substitute these values into the equation to form a system of equations:

f(-5) = -5m + b = 3 ---- (1)

f(5) = 5m + b = 2 ---- (2)

To find the equation for f(x), we need to solve this system of equations for the values of m and

b.We can subtract equation (1) from equation (2) to eliminate the b term:5m + b - (-5m + b) = 2 - 3

5m + b + 5m - b = -1

10m = -1

m = -1/10

Substituting the value of m back into either equation (1) or (2) to solve for b:-5(-1/10) + b = 3

1/2 + b = 3

b = 3 - 1/2

b = 5/2

Therefore, the equation for f(x) is:

f(x) = (-1/10)x + 5/2

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Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

Answer:

C. She could spin a spinner divided into five equal sections three times. On the spinner, four sections represent customers who buy goldfish and one section represents customers who do not buy goldfish.

Step-by-step explanation:

We are told that four out of five customers who bought pets chose goldfish.

Thus;

P(those who bought pets also chose gold fish) = 4/5

Therefore;

P(those who bought pets but do not buy gold fish) = 1 - (4/5) = 1/5

Now, she wants to know the estimated probability that three randomly selected customers buying pets would not buy goldfish.

The probability we have is 1/5.

Therefore,to accommodate the 3 randomly selected customers, we have to multiply the numerator and denominator for each probability by 3.

Thus;

P(those who bought pets also chose gold fish) = 4/5 × 3/3 = 12/15

P(those who bought pets but do not buy gold fish) = 1/5 × 3/3 = 3/15

Looking at the new probabilities, the simulation she can use is to divide a spinner into five equal sections three times so that for each section, we can have the probability of 1/5 and 4/5.

Thus, option C is correct.

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:

Step 1: Calculate the number of $500 increments for the loan amount:

Number of $500 increments = loan amount / $500

= $1,693 / $500

≈ 3.386

Since we can't have a fraction of an increment, we round up to 4.

Step 2: Calculate the daily payment:

Daily payment = 25 © * Number of $500 increments

= 25 © * 4

= $100

Step 3: Calculate the total repayment amount:

Total repayment amount = Daily payment * number of days

= $100 * 120

= $12,000

Step 4: Calculate the annual interest rate:

Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)

= ($12,000 - $1,693) / $1,693 * (360 / 120)

Now, let's perform the calculations:

Amount you repay ≈ $12,000

Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)

Calculating the annual interest rate:

Annual interest rate ≈ (($10,307) / $1,693) * 3

Rounding to four decimal places:

Annual interest rate ≈ (6.0905) * 3

≈ 18.2715

Therefore,

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

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Answer: c=7

Step-by-step explanation:

8c = 56  Divide both sides by 8

\(\frac{8}{8}c = \frac{56}{8}\)  

c = 7

The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We know the area in the polar coordinates is given by:

\(\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta\)

We have r = sin2θ

Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.

Put this value in the above integration and limit 0 to π/2

\(\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta\)

After solving the above integration, we get:

\(\rm A = \dfrac{\pi}{8}\)

Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

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Answer:

\(13x^2-6x-11\)

Step-by-step explanation:

Start by setting up the expression:

\(8x^2+x-10-(-5x^2+7x+1)\)

Note the " - - " makes a "+" and " - + " makes a "-"

\(8x^2+x-10+5x^2-7x-1\)

Combine like terms

\(13x^2-6x-11\)

Answer: 13x2−6x−11

Step-by-step explanation: this is just a guess

Answer:

asking if there are any questions

When a student has a $100 bill a $1 bill, and a $50 bill, the number of different sum of money the student can have by selecting at least one bill and up to all of the bills is 10 and without the condition of at least one bill is 11.

Therefore the answer is (a) 10 and (b) 11.

A student has a $100 bill a $1 bill, and a $50 bill, so there are total of three distinct bills. The number of ways the student can select at least one bill and up to all of the bills is given by combination. Therefore number of different sum of money the student can make is

= 3C1 + 3C2 + 3C3

= 3 + 3!/ (2! × 1!) + 3!/ (3! × 0!)

= 3 + 3 + 1

= 10

If there is no condition that the student should take at least one bill, an additional case of selecting none is added. So the number of different sum of money the student can make is

= 3C0 + 3C1 + 3C2 + 3C3

= 1 + 10

= 11

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Using the Root Test, the correct answer is: Converges

To determine if the series converges or diverges using the Root Test, follow these steps:

1. Define the series: ∑(ln(n)/9n−6)^n
2. Apply the Root Test by taking the n-th root of the series: (ln(n)/9n−6)
3. Evaluate the limit as n approaches infinity: lim (n->∞) (ln(n)/9n−6)
4. Compare the limit with 1: if the limit is less than 1, the series converges; if the limit is greater than 1 or is infinite, the series diverges; if the limit equals 1, the test is inconclusive.

Now, let's evaluate the limit:

lim (n->∞) (ln(n)/9n−6)

First, note that the denominator (9n-6) grows faster than the numerator (ln(n)). Since the denominator grows faster than the numerator, the limit will approach zero.

lim (n->∞) (ln(n)/9n−6) = 0

Since the limit is less than 1 (0 < 1), the series converges.

Therefore, the correct answer is:
Converges

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The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)

Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.

In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.

The vector from tail to head can be written as:

Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)

Therefore, the vector from head to tail is:

Head to Tail = – (2, -4, 4) = (-2, 4, -4)

The coordinates of the vector from head to tail are (-2, 4, -4).

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Answer:

Step-by-step explanation:

When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2