Triangle ABC, with A = (-2,3) B = (-4,1) and C = (-3,5), is rotated 90- clockwise about the origin to make Triangle A'B'C'. What are the y-coordinates of B'?

Using compound interest, it is found that:

a) The monthly payments are of $3,401.49.

b) The total of all monthly payments for 30 years is of $1,224,536.

c) The total interest is of $794,536.

d) The total interest is greater.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For the parameters, we have that:

For practicality, first we are going to solve item b.

Item b:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]

[tex]A(30) = 1224536[/tex]

The total of all monthly payments for 30 years is of $1,224,536.

Item a:

$1,224,536 is paid in 30 x 12 = 360 months, hence:

1224536/360 = $3,401.49.

The monthly payments are of $3,401.49.

Item c:

The interest is the total subtracted from the principal, hence:

1224536 - 430000 = $794,536.

The total interest is of $794,536.

Item d:

Loan of $430,000, interest of $794,536, hence the total interest is greater.

You can learn more about compound interest at https://brainly.com/question/25781328

Answer:

Step-by-step explanation:

solution 1:

570 not man = 15% (cause 100% - 85%)

15% = 570

100% = w (for "whole package")

15w = 100 * 570

15w = 57000

w = 57000 / 15

w = 3800

solution 2:

15% = 570

85 = m (for "men)

15m = 570 * 85

15m = 48450

m = 48450 / 15

m = 3230

100% = 85% + 15%

100% = b (for "buch of people")

b = 3230 + 570

b = 3800

Answer:

Yes that is correct you got keep up good work

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

Answer:

1.FILTER WATER 2.FILTER CLOTH

3.LIQUIDS

4.INSOLUBLE

5.DIFFERENCE

Answer:

25

Step-by-step explanation:

4 hours goes into 100 miles 25 times.

Answer:

b

Step-by-step explanation:

pls give brainliest hope helpful

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

The number of student taking math is 37 while the number of students taking programming is 74

Universal set = 97

let

The number taking math = x

The number taking programming = 2x

The number of students that take exactly one subject = 53

The student taking neither of the subject = 15

The number of students taking only maths will be

The number of students taking only programming will be

let

n(m ∩ p) = y

Therefore,

x - y + 2x - y = 53

3x - 2y = 53

Also,

97 = x + 2x - y + 15

3x - y = 82

Therefore,

3x - 2y = 53

3x - y = 82

-y -(-2y) = 82 - 53

y = 29

3x - 29 = 82

3x = 82 + 29

3x = 111

x = 111/3

x = 37

Finally,

number of students taking maths = 37

number of student taking programming = 37×2 = 74

Check similar problem on sets: https://brainly.com/question/16132324?referrer=searchResults

Answer:

Yes

Step-by-step explanation:

(I can only read the graph).

Since for each dot, a vertical line drawn through it only intersects that dot, we conclude that the relation is a function.

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

Answer:

y=3x+1

Step-by-step explanation:

m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3

-8= -3(3) + b

-8= -9 + b

+9     +9

1=b

Then put in slope intercept form:

y= 3x+1

Hope this helps! :)

Answer:

False    -5.25 is < (less than) -3

Step-by-step explanation:

Answer:

First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.

Step-by-step explanation:

A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.

-kiniwih426

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.

Answer:

267 (please double check this!!!)

Step-by-step explanation:

Separate the block into sections that you can find the volume for easily and figure out the measurements for each

the two smaller blocks on top will be symmetrical

the bottom area is 5 high and 3 deep and you get the length by adding 4+5+4 because that's the length of the whole thing

so 13*3*5 = 195

The two smaller blocks is just adding a *2 once you figure out the one

it's 3 deep still and 4 wide, if you subtract the total height from the height given of the bottom part you get 3

3*4*3 = 36

you have another one of those blocks so it'd be 36*2

then you add them both 72+195 = 267

Answer:

parrelel

Step-by-step explanation:

Answer:

x-intercept is 1  and y-intersect is -2

Step-by-step explanation:

To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.

-4x + 2y = -4         Let x = 0  and solve for y

-4(0) +2y = -4

0 + 2y = -4

 2y = -4

    y = -4/2 ; y = -2       y- intercept is -2

                              Let  y = o and solve

     -4x + 2y = -4

      -4x + 2(0) = -4

     -4x + 0 = -4

      -4x = -4

         x = -4/-4 ;  x = 1           x-intercept is 1

Answer: 0.42857142857

Step-by-step explanation:

Answer:

(0,2) x (3,-2)

Step-by-step explanation:

Answer:

f×3-f×(-3)

3f+3f

solution:

6f

Step-by-step explanation:

hope it's can help

Answer:

r = -9

Step-by-step explanation:

the less the negative number is the more it is .

Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation:

Answer:

The first numbers in the sets are input and the second numbers are outputs.

1. {(1, 1), (2, 3), (3,5)}

2. {(6,2), (5, 3), (4,8)}​

Answer:

Step-by-step explanation:

Pythagorean Theorem Formula: a² + b² = hypotenuse²

x² + 5² = 13²

x² + 25 = 169

x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)

x² = 169 - 25

√x² = √144

x = 12

Answer:

D. x = 4

Step-by-step explanation:

2x – 1= 7

add 1 to both sides:

2x=8

divide both sides by 2:

x=4

One solution.

Answer:

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