A.85
B.98
C.102
D.34

Answer:

The amount that your loan balance will be when you pay off the car is $20,566.18.

Step-by-step explanation:

Step 1. Calculation of monthly payment

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new car = $55,000

P = Monthly payment = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number of months = 72

Substitute the values into equation (1) and solve for P, we have:

$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)

$55,000 = P * 60.3395139355201

P = $55,000 / 60.3395139355201 = $911.51

Step 2. Calculation of the loan amount balance when you pay off the car

This can be calculated using the ballon payment formula as follows:

P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)

Where:

P = Monthly payment = $911.51

PV = Present value or the cost of the new car = $55,000

Ballon = Ballon payment or the loan amount balance when you pay off the car = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number months to pay off the loan amount balance = 48

Substituting the values into equation (1) and solve for Ballon, we have:

911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))

911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363

911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)

38,812.39 = 55,000 - (Ballon / 1.27048916109538)

Ballon / 1.27048916109538 = 55,000 - 38,812.39

Ballon / 1.27048916109538 = 16,187.61

Ballon = 16,187.61 * 1.27048916109538

Ballon = $20,566.18

Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.

Answer:

32

Step-by-step explanation:

Answer - Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Step-by-step explanation:

As a ream or

500

sheets of paper weigh

4.818

pounds

One sheet of paper weighs

4.818

500

=

0.009636

pounds.

It is apparent that pound is too big a unit for a sheet of paper.

As each pound has

16

ounces, one can say

one sheet of paper weighs

0.009636

×

16

=

0.154176

ounces.

If ounce is too big, as we have

1

pound equal to

28.34952

grams

one sheet of paper weighs

0.154176

×

28.34952

≈

4.371

grams

please mark as brainliest

Answer:

See below

Step-by-step explanation:

a) y = 5x

b) 45 = 3y + 2x

is 20 ÷ 5 the question? if so he was penalized 4 times. 5 × 4 is 20

Answer:

No solution is possible from the information provided

Step-by-step explanation:

Answer:

Paige is incorrect.  g(x) has a steeper slope

Step-by-step explanation:

The slope for f(x)  is

m =( y2-y1)/(x2-x1)

   = (17/2 - 5/2) / ( -1 - -6)

    = (17/2 - 5/2) / ( -1 +6)

    = (12/2)/5

    = 6/5

The slope for g(x)  is

m =( y2-y1)/(x2-x1)

   = (-1 - 13/3) / ( 6 - 2)

    =(-3/3 -13/3) / (6-2)

    (-16/3)/4

     -16/3 * 1/4

   - 4/3

Comparing the magnitudes

|6/5|   |-4/3|

|6/5*3/3|     |-4/3*5/5|

|18/15|           |20/15|

|20/15| is greater so it has a steeper slope

g(x) has a steeper slope

Answer:

so ....where is the question?

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

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

Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Step-by-step explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

Answer:

8/33

Step-by-step explanation:

The limit as x approaches 1 from either side should match, so that

[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2[/tex]

[tex]\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1[/tex]

==>   a - 2 = 1   ==>   a = 3

The answer is a = 3.

Finding Left Hand Limit (LHL)

[tex]\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a[/tex]

Finding Right Hand Limit (RHL)

[tex]\displaystyle \lim_{x \to \11^{+}} f(x) = 1[/tex]

For a continuous function, LHL = RHL

The Probability is 1/2 or .5, .5 rounded to the nearest tenth would be irregular because .5 is already in the tenth place but according to the law of rounding since ut is five it would be rounded up giving the whole number 1

Answer: The minuend is 20000

Step-by-step explanation:

To calculate the minuend, we use the equation:

[tex]\text{Subtrahend}=\text{Minuend-Difference}[/tex]

We are given:

Difference between the two numbers = 7194

Subtraend = 12806

Putting values in above equation, we get:

[tex]\text{Minuend}=12806+7194\\\\\text{Minuend}=20000[/tex]

Hence, the minuend is 20000

This converts to the improper fraction 7/4

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

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

Answer:

[tex]\approx 15.9[/tex]

Step-by-step explanation:

The length of an arc with measure [tex]\theta[/tex]  and radius [tex]r[/tex] is given by [tex]\ell_{arc}=2r\pi\cdot \frac{\theta}{360}[/tex]. From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by [tex]\angle AOC[/tex] subtracted from 360. The measure of the arc formed by [tex]\angle AOC[/tex] consists of two congruent angles, [tex]\angle AOB[/tex] and [tex]\angle COB[/tex]. To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

We have:

[tex]\cos \angle AOB=\cos \angle COB=\frac{4}{10},\\\angle AOB=\arccos(\frac{4}{10})=66.42182152^{\circ}[/tex]

Therefore, [tex]\angle AOC=2\cdot 66.42182152=132.84364304^{\circ}[/tex]

The measure of the central angle of [tex]\widehat{ADC}[/tex] must then be [tex]360-132.84364304=227.15635696^{\circ}[/tex]

Thus, the length of [tex]\widehat{ADC}[/tex] is equal to:

[tex]\ell_{\widehat{ADC}}=2\cdot 4\cdot \pi \cdot \frac{227.15635696}{360},\\\ell_{\widehat{ADC}}=15.8585053832\approx \boxed{15.9}[/tex] (three significant figures as requested by question).

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

Answer:

please post a more cohesive question. The values are very confusing

Answer:

You answered it

Answer:

-11

Step-by-step explanation:

Given the expression (-3/5)(17 5/6)

Converting the mixed to improper fraction

​(-3/5)(17 5/6)

=  (-3/5)(107/6)

= (-3*107)/(5*6)

= -321/30

= -10.7

Hence the required best estimate is -11

ANSWER

D

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

hey can you explain cause IM reading  my self and id  be happy to help if you  oh you have a picture oh the answer is...

Step-by-step explanation:

Answer:

x = 84 , y = 168

Step-by-step explanation:

[tex]Sin 60 = \frac{opposite side}{hypotenuse}\\\\ \frac{\sqrt{3}}{2}= \frac{AB}{BC}\\\\ \frac{\sqrt{3}}{2} = \frac{84\sqrt{3}}{y}\\\\Cross\ multiply ,\\\\y*\sqrt{3} =2*84 \sqrt{3}\\\\y= \frac{2*84*\sqrt{3}}{\sqrt{3}}\\\\y=168[/tex]

[tex]Cos\60 = \frac{adjacent}{hypotenuse}\\\\ \frac{1}{2}= \frac{AC}{BC}\\\\ \frac{1}{2}= \frac{x}{168}\\\\ \frac{1}{2}*168=x\\\\x= 84[/tex]

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: 9 \: (4x - 15)[/tex]

Plugging in the value [tex]x = 3[/tex] in the above expression, we have

➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]

➼ [tex] \: 9 \: (12 - 15)[/tex]

➼ [tex] \: 9 \: ( - 3)[/tex]

➼ [tex] \: - 27[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

A linear transformation is defined as:

For a transformation T that goes from R^n to R^m, this transformation is linear if, for two vectors A and B, we have that:

T(A + B) = T(A) + T(B)

In this case, we have the transformation:

T(x1​, x2​)= ​(x1x2​, x1​, x2​).

If we define two vectors:

A = (a1, a2)

B = (b1, b2)

if the transformation is lineal, we will have that:

T(A + B) = T(A) + T(B)

Or

T(0) = T(A - A) = T(A) + T(-A)

(just two different ways of writing the same thing, I will use the first one, because it is the general way)

We want to see that, for our transformation, this equation is false.

first the left side:

A + B = (a1, a2) +  (b1, b2) = (a1 + b1, a2 + b2)

Then the transformation applied to that vector gives:

T(A + B) = T(a1 + b1, a2 + b2) = ( (a1 + b1)*(a2 + b2), (a1 + b1), (a2 + b2))

             = (a1*a2 + a1*b2 + b1*a2 + b1*b2, a1 + b1, a2 + b2)                                  

While for the right side, we have:

T(A) + T(B) = T(a1, a2) + T(b1, b2) =  (a1*a2, a1, a2) + (b1*b2, b1, b2)

                  = (a1*a2 + b1*b2, a1 + b1, a2 + b2)

Then we can rewrite:

T(A + B) = T(A) + T(B)

as:

(a1*a2 + a1*b2 + b1*a2 + b1*b2, a1 + b1, a2 + b2) = (a1*a2 + b1*b2, a1 + b1, a2 + b2)

We can see that the first part of these vectors is different, thus, the equality is false.

Then we can conclude that:

T(A + B)  ≠ T(A) + T(B)

Then the transformation T is not linear.

Answer:

A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )

Step-by-step explanation:

The matrix

[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]

This is a 3 x 3 matrix  

Attached below is the prove that A is diagonalizable  

The decimal form of the given number is $15,000,000,000,000.00

From the question, we are to convert the given number to decimal form

The given number is $1.5×10¹³

$1.5×10¹³ = $15,000,000,000,000.00

Hence, the decimal form of the given number is $15,000,000,000,000.00

Learn more on Conversion to decimals here: https://brainly.com/question/10944785

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