Tom wants to borrow $16,578 for a car. The bank is going to charge him 12% interest annually, compounded monthly. If his car payment is $345.00 a month. How much will he owe at the end of 4 months? (Take this one month at a time. Determine the interest for the month; add it to the principal. Then subtract the payment, and that is your new principal for the next month.)​

Answers

Answer 1

Answer:

Step-by-step explanation:

Principal, P = $16,578

Interest rate, r = 12% = 0.12

Monthly interest rate = annual interest rate / 12

= 12%/12

= 1%

= 0.01

Time, t = 1 year

Number of period, n = 12

Car payment per month = $345.00

Month 1:

A = P(1 + r/n)^nt

A = 16,578(1 + 0.01/12)^(12)(1)

A = 16,578(1 + 0.000833333)^(12)

= 16578(1.000833333)^12

= 16578(1.0100459608871)

A = $16,744.54

Principal after month 1 repayment = $16,744.54 - $345

= $16,399.54

Month 2:

A = P(1 + r/n)^nt

= $16,399.54(1 + 0.01/12)^(12)(1)

= 16,399.54(1 + 0.000833333)^(12)

= 16,399.54(1.000833333)^12

= 16399.54(1.0100459608871)

= 16,564.289137406431934

= $16,564.29

Principal after month 2 repayment = $16,564.29 - $345

= $16,219.29

Month 3:

A = P(1 + r/n)^nt

= $16,219.29(1 + 0.01/12)^(12)(1)

= 16,219.29(1 + 0.000833333)^(12)

= 16,219.29(1.000833333)^12

= 16219.29(1.0100459608871)

= 16382.228352956532159

= $16,382.23

Principal after month 3 repayment = $16,382.23 - $345

= $16,037.23

Month 4:

A = P(1 + r/n)^nt

= $16,037.23(1 + 0.01/12)^(12)(1)

= 16,037.23(1 + 0.000833333)^(12)

= 16,037.23(1.000833333)^12

= 16037.23(1.0100459608871)

= 16198.339385317426733

= $16,198.34

Principal after month 4 repayment = $16,198.34 - $345

= $15,853.34


Related Questions

What is the second integral of
[tex] \frac{1}{x} [/tex]
?​

Answers

Answer:

[tex]\displaystyle \int {\int {\frac{1}{x}} \, dx} \, dx = xln|x| - x + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Logarithmic Differentiation

Integration

IntegralsIndefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Logarithmic Integration

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {\int {\frac{1}{x}} \, dx} \, dx[/tex]

Step 2: Integrate Pt. 1

[Inner Integral] Logarithmic Integration:                                                       [tex]\displaystyle \int {ln|x|} \, dx[/tex]

Step 3: Integrate Pt. 2

Identify variables for integration by parts using LIPET.

Set u:                                                                                                             [tex]\displaystyle u = ln|x|[/tex][u] Differentiate:                                                                                             [tex]\displaystyle du = \frac{1}{x} \ dx[/tex]Set dv:                                                                                                           [tex]\displaystyle dv = dx[/tex][dv] Integrate:                                                                                                 [tex]\displaystyle v = x[/tex]

Step 4: Integrate Pt. 3

[Integral] Integration by Parts:                                                                       [tex]\displaystyle \int {ln|x|} \, dx = xln|x| - \int {(x \cdot \frac{1}{x})} \, dx[/tex][Right Integral] Simplify:                                                                                 [tex]\displaystyle \int {ln|x|} \, dx = xln|x| - \int {} \, dx[/tex][Right Integral] Reverse Power Rule:                                                           [tex]\displaystyle \int {ln|x|} \, dx = xln|x| - x + C[/tex]Redefine:                                                                                                       [tex]\displaystyle \int {\int {\frac{1}{x}} \, dx} \, dx = xln|x| - x + C[/tex]

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

Unit: Integration

Book: College Calculus 10e

Is "y = 0.860x + 3.302" a function? Explain why.

Answers

Answer:

Yes.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Any line that follows slope-intercept form will be a function.

If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.

∴ y = 0.860x + 3.302 is indeed a function.

HELP PLEASEEE!!!! ASAP!!!!!

Answers

To find the inverse of a function, switch the x's and y's, then solve for y again.

y = 2/3x - 17

SWITCH

x = 2/3y - 17

2/3y = x + 17

y = 3(x + 17) / 2

y = x - 10

SWITCH

x = y - 10

y = x + 10

y = cuberoot(2x)

SWITCH

x = cuberoot(2y)

x^3 = 2y

y = x^3 / 2

y = x/5

SWITCH

x = y/5

y = 5x

Hope this helps!

Which of the following is the number of sides for a regular polygon that will
not form a regular tessellation?

A. 6
B. 4
C. 7
D. 3

Answers

Answer:

A

Step-by-step explanation:

A

The number of sides for a regular polygon that will not form a regular tessellation is 7. The correct option is C.

What is a polygon?

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

A tessellation or tiling is the seamless covering of a surface, frequently a plane, with one or more geometric shapes, known as tiles. One regular polygon can be used to create a single regular tessellation. Two or more regular polygons are used in a semi-regular tessellation.

Triangles, squares, and hexagons are the only three regular tessellations.

Now, the name of the polygon having 3, 4, and 6 sides is triangle, square, and Hexagon. Therefore, the only regular polygon that will not form a regular tessellation is heptagon, which has 7 sides.

Hence, the number of sides for a regular polygon that will not form a regular tessellation is 7.

Learn more about Polygon here:

https://brainly.com/question/10441863

#SPJ2

simplify m√p + n√p - √p

Answers

Answer:

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p}(m + n - 1) }}[/tex]

Please help 50 points! ​

Answers

d=10

Answer:

Solution given:

[tex]\sqrt{25+3x}=d+2x[/tex]

squaring both side

25+3x=(d+2x)²

when x=-3

25+3*-3=(d+2*-3)²

25-9=(d-6)²

16=(d-6)²

[tex]\sqrt{16}=d-6[/tex]

4=d-6

d=4-6

d=10

Answer:

d = 6

Step-by-step explanation:

[tex] \sqrt{25 + 3( - 3)} = d + 2( - 3) \\ 4 = d - 6 \\ d = 10[/tex]

hopefully this makes sense

:)

What is the vertex of the function f(x) = -|x + 7| − 4?

A.
(-7,-4)
B.
(7,4)
C.
(-7,4)
D.
(7,-4)

Answers

Answer:

it would be

D.

(7,-4)

Mark me as brainliest pleases

Answer:

it would be A (-7,-4)

Step-by-step explanation:

please help!! asap need 5 and 6

Answers

Answer:

both substitutions

Step-by-step explanation:

in 5. based on 3 BC is substituted by its equal counterpart AB.

and in 6. we use 1. to substitute AC by its associated absolute value.

Noelle has containers that each hold one gallon of liquid. She used these containers to dispose of waste from the chemistry laboratory. She collected 3 quarts 1 pint of liquid from the first table, 4 quarts from the second table, 2 quarts from the third table , and 3 quarts 1 pint from the fourth table. What is the least number of containers Alyssa needed to collect the waste ? ( 4 quarts = 1 gallon , 2 pints = 1 quart )

Answers

Answer:

4 containers.

Step-by-step explanation:

Since Noelle collected 3 quarts 1 pint of liquid from the first table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.

She also collected 4 quarts from the second table, 2 quarts from the third table.

Finally, she collected collected 3 quarts 1 pint of liquid from the fourth table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.

So, the total amount of liquid she collected in quarts is V = 3.5 quarts + 4 quarts + 2 quarts + 3.5 quarts = 7.5 quarts + 5.5 quarts = 13 quarts

We now convert this value to gallons to know the amount of containers Noelle needs since she has one gallon containers.

13 quarts = 13 × 1 quarts = 13 quarts × 1 gallon/4 quarts = 13/4 gallons = 3.25 gallons

Since the total amount of liquid is 3.25 gallons = 3 gallons + 0.25 gallons, Noelle would need 4 containers since 3 containers would contain the first 3 gallons and the fourth container would contain the remaining 0.25 gallons.

So, Alyssa would need 4 containers.

find the scale factor

Answers

Answer:

I think its 1.4

Step-by-step explanation:

if you divide 42 by 1.4 it makes 30 and if u multiply 30 by 1.4 it makes 42

Answer:

the scale factor is 7/5

Step-by-step explanation:

42/30=

42/30=

then you find a common factor between the two is 6, so you divide both sides of the fraction by 6 to get 7/5. and because they both are the same you know that they both have the same scale factor. Which is 7/5. I am not quite sure if you need to find the missing side length but in case you do multiply 40 by 7/5 so it looks like 40/1 x 7/5. 40 x 7 = 280. 280/5 = 56. so your side length is 56.

Which expression is equivalent to

Answers

Answer:

[tex]\frac{(x+2)}{(x-1)}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + x -2}{x^2 -2x+1}[/tex] =

[tex]\frac{(x+2)(x-1)}{(x-2)(x-1)}[/tex] =

[tex]\frac{(x+2)}{(x-1)}[/tex]

Omg who can help me? Its due tomorrow

Answers

I could help ! But the light kinda makes some of the words hard to read

arrange the resistance r1 r2 and r3 in increasing order. ​

Answers

Answer:

[tex]R_1>R_2>R_3[/tex]

Step-by-step explanation:

As per Ohm's law,

V = IR

I = Current

R = Resistance

V = Voltage

This law states → R = [tex]\frac{V}{I}[/tex]

If we graph the relation between Voltage and Current, linear graph represents the Resistance.

Greater the slope of the line will represent greater resistance.

Therefore, [tex]R_1>R_2>R_3[/tex]

Factor: (a+3)^2 -a(a+3)

Answers

Answer:

3(a +3)

Step-by-step explanation:

(a+3)^2 -a(a+3)

FOIL

a^2 +3a+3a+9 -a(a+3)

Distribute

a^2 +3a +3a +9 -a^2 -3a

Combine like terms

3a +9

FACTOR out a+3

(a+3)( a+3 -a)

(a+3) (3)

3(a+3)

Answer:

3(a+3)

Step-by-step explanation:

Expand the first set of brackets first

(a+3)^2

A^2 + 3a + 3a +9

=A^2 + 6a + 9

Expand the second set of brackets

-a(a+3)

=-a^2 - 3a

Add both sets together

3a + 9

Factorise:

3(a+3)

Find the length of the arc round your answer to the nearest 10th

Answers

Answer:

i think its 30

Step-by-step explanation:

Answer:

length ≈ 2.6 ft

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{30}{360}[/tex]

      = 2π × 5 × [tex]\frac{1}{12}[/tex]

      = 10π × [tex]\frac{1}{12}[/tex]

     = [tex]\frac{10\pi }{12}[/tex]

     ≈ 2.6 ft ( to the nearest tenth )

HELP ASAP 10 POINTS BRAIN LIST THANKS AND 5 STAR BUT IF CORRECT

Answers

Answer:

3 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 1/2 * 3/2 * 4

V = 3 cm^3

Answer:

3 cm³

Step-by-step explanation:

V = L * W * H

V = (4 cm)(3/2 cm)(1/2 cm)

V = 12/2 * 1/2 cm³

V = 12/4 cm³

V = 3 cm³

The+pie+chart+shows+the+age+distribution+in+a+village+of+120+a)+how+many+people+are+older+than+60+=+120+B)+What+percentage+of+the+villagers+are+under+25?+I+KNOW+A+I+NEED+TO+KNOW+B

Answers

Answer:

if the village is of 120 people and  120 people are over the age of 60 then 0 people are under the age of 25.

Step-by-step explanation:

Thank you guys for helping me !! Can you help me with this question ?

Answers

Answer:

(A). x² + y² - 4x + 6y - 3 = 0

Step-by-step explanation:

(x - 2)² + (y + 3)² = 4²

x² - 4x + 4 + y² + 6y + 9 - 16 = 0

x² + y² - 4x + 6y - 3 = 0

A particular strain of bacteria triples in population every 45 minutes Assuming you start with 50 bacteria in a Petri dish how many bacteria will there be in 4.5 hours

Answers

Answer:

4.5 hours in minutes = 270

Every 45 minutes, bacteria triples

You start with 50

Divide 270 (total time) by 45 (every time bacteria triples)

270/45 = 6

36,450 bacteria

Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.​

Answers

Answer:

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)^2 = 122

=> 9x^2 + 12xy + 4y^2 = 144

=>9x^2 + 4y^2 = 144 – 12xy

From the questions, xy = 6

So,

9x^2 + 4y^2 = 144 – 72

Thus, the value of 9x^2 + 4y^2 = 72

Answered by GAUTHMATH

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

What is the sum of the polynomials? (6x+7+x^2)+(2x^2-3)
a.-x^2+6x+4
b.3x^2+6x+4
c.9x + 4
d.9x^2+4

Answers

Answer:

b.

[tex]{ \tt{(6x + 7 + {x}^{2})(2 {x}^{2} - 3) }} \\ = { \tt{(2 + 1) {x}^{2} + 6x + (7 - 3) }} \\ = { \tt{3 {x}^{2} + 6x + 4 }}[/tex]

Please help me with this (geometry)

Answers

Answer:

∠ 6 = 55°

Step-by-step explanation:

∠ 6 and 125° are same- side interior angles and sum to 180° , then

∠ 6 = 180° - 125° = 55°

PLEASE HELP!

Record the lengths of the sides of ΔABC and ΔADE.

I would appreciate it.

Answers

AB: 20

BC: 12

AC: 16

AD: 10

DE: 6

AE: 8

Please Solve:
x^2-4x-5=0

Answers

The quadratic equation answer is: x^1 = -1; x^2=5 and the number of solutions are 2 real solutions. Hope this helps :)

7. If the supplement of an angle is 69, then find its complement.​

Answers

Answer:

no solution

Step-by-step explanation:

Supplementary angles add to 180

Let x be the supplement

x+69 = 180

x = 180-69

x =111

The complement of an angle means they add to 90

111+y = 90

y = 90-111

y =-21

But an angle cannot be negative so there is no solution

Answer:

21 degrees.

Step-by-step explanation:

To find the complementary angle you have to subtract the given angle from 90.

so,

90 - 69 = 21.

Extra info: if you need to find the supplementary angle you need to subtract the given angle from 180.

Plz help out will give brainliest

Answers

Answer:

10 degrees = C

Step-by-step explanation:

Total internal angles add to 180 degrees.

Add all values of c and set equal to 180.

18c = 180.

c=10

Answer:

c = 10

Step-by-step explanation:

3c + 6c + 9c = 180 degrees. Every triangle has 180 degrees.

18c = 180                Combine the like terms. Divide by 18

18c/18 = 180/18

c = 10

Sue, Jane, and Alice share 213 paper clips equally among themselves. if Alice gives 24 paper clips to Sue, how many paper clips does Sue have altogether?

Answers

213/3 = 71
71 + 24 = 95 answer

The air in poultry-processing plants often contains fungus spores. Inadequate ventilation can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and "colony-forming units (CFUs)" are counted after an incubation period. Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.

Day Day 2 Day 3 Day 4

Kill room 3175 2526 1763 1090

Processing 529 141 362 224

The spore count is clearly higher in the kill room. Give sample means and a 99% confidence interval to estimate how much higher the spore count is in the kill room?

Answers

Answer:

-611.031 < μd < 4260.031

Step-by-step explanation:

This is a matched pair design :

______Day1 Day 2 Day 3 Day 4

x1 Kill room 3175 2526 1763 1090

x2 Processing 529 141 362 224

First we obtain the difference, d ;

d = (x1 - x2)

d = 2646, 2385, 1401, 866

The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5

The standard deviation of difference,

Sd = √(Σx-dbar)²

Using calculator, Sd = 834.086

The 99% confidence interval :

Mean ± margin of error

dbar ± margin of error

Margin of Error = Tcritical * Sd/√n

Tcritical at 99%, df = n-1 ; df = 4-1 = 3

Tcritical = 5.84

Margin of Error = 5.84 * 834.086/√4 = 2435.53112

Confidence interval = 1824.5 ± 2435.53112

(-611.031 ; 4260.031)

would appreciate the help please!

Answers

Answer:

I think SAS is the correct Ans

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