Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.

It's false. Consider f(x) = 1/x. This function is both continuous and decreasing on [1, ∞), and has a limit of 0 as x approaches infinity. But the integral diverges.

a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.

b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.

c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.​

The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.

Loan amount = $6,000

Maturity period = 5 years

Interest rate = 7%

N (# of periods) = 60 months (5 years x 12)

Results:  

Monthly Payment = $118.81 ($34.02 + $84.79)

Mortgage Payment = $7,128.60 ($118.81 x 60)

Total of 60 Mortgage Payments $7,128.60

Total Interest = $1,128.60 ($7,128.60 - $6,000)

 Date Beginning Balance   Interest    Principal        Ending

                                                         Repayment    Balance

1 3/2022       $6,000.00             $35.00     $83.81       $5,916.19

2 4/2022         $5,916.19               $34.51     $84.30      $5,831.90

3 5/2022        $5,831.90              $34.02     $84.79      $5,747.11

Learn more about calculating monthly payments at https://brainly.com/question/24576997

Answer:

The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.

So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.

A 5-year loan will have 60 monthly payments since 5 × 12 = 60.

Multiply the monthly payment by 60 months to get the total amount paid on the loan:

$118.80 × 60 = $7,128.

To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:

$7,128 − $6,000 = $1,128.

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

Hi ;-)

[tex]y=15 \ and \ x=5\\\\(y-9)+(3+x)=(15-9)+(3+5)=6+8=\boxed{14}[/tex]

Answer:

14

Step-by-step explanation:

(y-9)+(3+x)

(15-9)+(3+5)

6+8

14

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

Answer:

22

Step-by-step explanation:

Answer:

[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]

4) finally: the first term is '39/8', the difference is '-1/4'.

Answer:

quad 2

Step-by-step explanation:

Midpoint = (x1 + x2)/2,(y1 + y2)/2

x1 = 2

x2 = - 4

y1 = 5

y2 = 3

midpoint = (2 - 4)/2,(5 + 3)/2

midpoint = -2/2, 8/2

midpoint = -1,4

-1 for x puts you in quad 2 or 3

4 for y puts you in quad 2 because you are going up.

The final answer is in quad 2

9514 1404 393

Answer:

  5/3 in²

Step-by-step explanation:

The area of a rectangle is the product of length and width.

  A = LW

  A = (5 in)(1/3 in) = 5/3 in² = 1 2/3 square inches

Answer:

6,2 kordinat 34,5 h2 semoga membanti

Step-by-step explanation:

the slope that is PARALLEL to the equation of the line y = -1/2x+6 is -1/2.

and the slope that is PERPENDICULAR to the equation of the line y = -1/2x+6 is :

-1 ÷ -½ = 2

Answer:

414,400

Step-by-step explanation:

[tex]342.475 + 71.925[/tex]

[tex] = 414.400[/tex]

Step-by-step explanation:

Hi there!

Given;

The equation of straight line is 2y-3x+6 = 0.

a. Express in the form of y = mx + c.

2y-3x+6 = 0

2y = 3x-6

y = (3x-6)/2

y = (3/2)X - 3

Therefore, the required equation is : y = (3/2)x-3.

b.

The y-intercept of the equation is -3.

Hope it helps!

Answer:

89,892

Step-by-step explanation:

[tex]x+y[/tex]

[tex](38,221)+(51,671)[/tex]

[tex]89,892[/tex]

Answer:

It is 20 white marbles

step by step explanation:

Fraction of the yellow marbles:

[tex]1 - \frac{1}{4} - \frac{3}{8} = \frac{3}{8} [/tex]

let total number of marbles be x :

[tex]{ \sf{ \frac{3}{8} \: of \: x = 30 \: yellow \: marbles}} \\ \\ \frac{3}{8} \times x = 30 \\ \\ 3x = 30 \times 8 \\ 3x = 240 \\ x = 80[/tex]

Total marbles = 80 marbles

for white marbles:

[tex] = \frac{1}{4} \times 80 \\ \\ = 20[/tex]

Answer:

i think zero but i suck at slope

Step-by-step explanation:

pew pew

Answer:

answer is xy

Step-by-step explanation:

✓x-y=xy

y x=xy

Answer:

60:20

100:?x

60×x=100×20

=33.333 %

Answer:

Just 2 hours

Step-by-step explanation:

Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours

(0,2) is your answer

Explanation

Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

[tex]\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y -  [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

m = - [tex]\frac{1}{2}[/tex]

( - 10, 1 )

y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]

y - 1 =  - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)

y = - [tex]\frac{1}{2}[/tex] x - 4

Answer: [tex]y=2x+7[/tex]

Step-by-step explanation:

Let's introduce couple variables [tex]m_{1}[/tex] (slope of your equation) and [tex]m_{2}[/tex] (slope of the equation we need to find.

Parallel lines have the same slope, therefore: [tex]m_{1} = m_{2}[/tex], where [tex]m_{1}=2[/tex] and this means that [tex]m_{2} = 2[/tex] as well.

Given that we will use point-slope equation form with the point (0,7):

[tex]y-y_{1} =m(x-x_{1} )\\[/tex] where [tex](x_{1}, y_{1} )[/tex] is the point

Let's substitute:

[tex]y-7=2(x-0)\\[/tex]

And calculate:

[tex]y-7=2x\\[/tex]

Now we just need to isolate [tex]y[/tex] by subtracting 7 from both sides:

[tex]y=2x+7\\[/tex]

That's it!

Here's the graph to show the results:

Answer:

(15,8)

Step-by-step explanation:

steps are in the picture above.

Answer:

[tex]\frac{1}{5^{7} }[/tex]

Answer:

b) 0

Step-by-step explanation:

[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

Answer: Slope = 5/6

Concept:

Here, we need to know the idea of a slope.

A slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (-4, 1)

(x₂, y₂) = (2, 6)

Given equation

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the equation

Slope = (6 - 1) / (2 - (-4))

Simplify values in parentheses

REMEMBER to change signs whenever a [+, -] meets [-] sign

Slope = 5 / (2 + 4)

Slope = 5/6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

best bet is 6

Step-by-step explanation:

Answer:

1. the smiley face, the top right corner.

2. top left corner again

3. rotation i think...

4.  e looks like the answer not sure.

Step-by-step explanation:

ez... maybe

Answer:

1st page-1

2nd page-b on the second line

3rd-b

4th-a

5th-c

Step-by-step explanation:

Answer:

Schleiden in 1838 said plants are made cells

Step-b