How many years would it take a 6000$ loan at 5% to earn 12000$ in interest?

Answer: Events A and B are independent because P (A l B )  =  P(B)

The events A and B are independent because P(A and B) = P(A)×P(B).

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

The given parameters are:

P(A) = 0.2

P(B) = 0.3

P(A and B) = 0.06

Two events A and B are independent if

P(A and B) = P(A)×P(B)

Here, we have 0.06 = 0.2 * 0.3

⇒ 0.06 = 0.06

Therefore, the events A and B are independent because P(A and B) = P(A)×P(B).

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For x = -5 the equation [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex] is a true equation. Hence, OPTION (B) IS CORRECT.

We have the following equation -

[tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex]

We have to find the value of x that makes this equation true.

In order to prove that the equation is true at x = 2 and x = 0, we have to prove that the left hand side of the equation equals the right hand side of the equation, if we substitute 2 or 0 in place of x Solving the equation to find the value of x -

[tex]x^{2} =2x\\x^{2} -2x=0\\[/tex]

x (x - 2) = 0

x = 0          or           x - 2 = 0

Test case 1 : for [tex]x = 2[/tex]

[tex]x^{2} =2x\\2^{2} =2 (2)\\4 =4[/tex]

LHS = RHS

Test case 2 : for [tex]x =0[/tex]

[tex]x^{2} =2x[/tex]

[tex]0^{2} = 2(0)[/tex]

[tex]0 = 0[/tex]

LHS = RHS

Hence, the equation [tex]x^{2} = 2x[/tex] is a true equation for [tex]x=0[/tex] and [tex]x=2[/tex]

We can use the similar approach in the equation -

                                     [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex]

to find the value of [tex]x[/tex] for which the equation is true.

-8(x+5) = -3x-7+x-3

-8x-40=-2x-10

-8x+2x = -10+40

-6x = 30

x=-5

Hence, for x = -5 the equation [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex] is true equation.

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Answer:

i am confused on what you are asking but if you explain it i would love to help

Step-by-step explanation:

Answer:

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

Step-by-step explanation:

hope this helps if yes then name brainliest laav :))

Answer:

I don't understand either so I can't help

Answer:

B: 1/3

Step-by-step explanation:

The original shape is getting bigger so it must be a whole number greater than 1. And the shape is still there so it can't be 0. The only other answer is 3.

Answer:

I believe the answer is Candace Pickles is the renter, Capital Rabbit Properties is the owner, Robin Russo is the agent but I'm not 100% sure.

Step-by-step explanation:

Answer:

500y[tex]^{2}[/tex]

Step-by-step explanation:

Answer:bellow hope I helped most likely c

Step-by-step explanation:

If 2% per year

480 x 1.02 = 489.6 first year

489.6 x 1.02= 499.392. Second year

499.392 x 1.02 = 509.37984 third year

If 2 % per all 3 years

480 x 1.02 = 489.6 all 3 years

If 2 % per each month

480 x 1.02 = 489.6 first month

489.6 x 1.02 = 499.392 second month

499.392 x 1.02 = 509.37984 third month

509.37984 x1.02 = 519.5674368 forth month

519.5674368 x1.02 =529.958785536 fifth month

529.958785536 x 1.02 =540.5579612467 sixth month

540.5579612467 x 1.02 = 551.3691204716 seventh month

551.3691204716 x 1.02 =562.396502881 eigth month

562.396502881xl x1.02 = 573.6444329386 nineth month

573.6444329386 x 1.02 =

585.1173215974 tenth month

585.1173215974 x 1.02= 596.8196680293 11th month

596.8196680293 x 1.02=608.7560613899 12 months (1 year)

608.7560613899 x1.02 = 620.9311826177 1st month 2nd year

620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year

633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year

646.0168023955 x 1.02 =658.9371384434 4th month 2nd year

658.9371384434 x 1.02= 672.1158812123 5th month 2nd year

672.1158812123 x1.02 = 685.5581988365 6th month 2nd year

685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year

699.2693628132 x1.02 =713.2547500695 8th month 2nd year

713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year

727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year

742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year

756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)

772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year

787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year

803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year

819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year

835.6916189634 x 1.02 =852.4054513427 5th month 3rd year

852.4054513427 x1.02 = 869.4535603696 6th month 3rd year

869.4535603696 x 1.02 =886.842631577 7th month 3rd year

886.842631577 x 1.02= 904.5794842085 8th month 3rd year

904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year

922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year

941.1244953706 x1.02 = 959.946985278 11th month 3rd year

959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)

Step-by-step explanation:

hey the answer is 12 I'll take a picture of it

Answer:

90+100+110+3x+2x=360

300+5x=360

5x=360-300

5x=60

x=12

Answer:

16.

Step-by-step explanation:

7×4= 28

since this is a ratio you so the same to the other side

4×4=16

Answer:

Step-by-step explanation:

kageyama. ig

Answer:

Kageyama takes the cake 100%

Step-by-step explanation:

Answer:

Since the triangle we are dealing with is an isosceles triangle if MNO is 80° that means angle <OMN and < NOM are equal. Take 180°- 80°= 100°. Then divide by two to get each angle to get 50°.

Step-by-step explanation:

About integers and rounding off. Oopsie but we don't do it in Kenyan Syllabus. Hope I was helpful✌☺.

Answer:

angle Z=20°

side xy≈15.36

hypotenuse≈19.49

Step-by-step explanation:

Find angle z adding the other two angles and subtracting that by 180 to get 20.

(12)tan(20) gets you side xy which is 15.36

12^2+15.36^2=xz^2

Answer:

56 will be sick after 4 weeks.

Step-by-step explanation:

900 / 2 = 450 (Week 1)

450 / 2 = 225 (Week 2)

225 / 2 = 112.5 (Week 3)

112.5 / 2 = 56.25 (Week 4)

(Rounding to a whole number since there can't be a quarter of a child)

Answer:

56.25 students would still be sick after 4 weeks

Answer:

12ft is the width and 14ft is the length

Step-by-step explanation:

Hope this helps!

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

Answer:

t = 50

Step-by-step explanation:

EI = EG

2t - 79 = t - 29

t - 79 = -29

t = 50

Answer:

2x^2 + 19x + 9

Step-by-step explanation:

Using the FOIL method (ask me via comments if you don't know what it is), we expand it to 2x^2 + 18x + x + 9, then we add like terms, equal to 2x^2 + 19x + 9.

The trinomial expression for (2x + 1)(x + 9) is [tex]2x^2 + 19x + 9[/tex].

To express (2x + 1)(x + 9) as a trinomial, you need to perform the multiplication.

Distribute each term from the first parenthesis to each term in the second parenthesis:

(2x + 1)(x + 9) = 2x * x + 2x * 9 + 1 * x + 1 * 9

Now, simplify the expression:

[tex]= 2x^2 + 18x + x + 9[/tex]

Finally, combine like terms:

[tex]= 2x^2 + 19x + 9[/tex]

So, (2x + 1)(x + 9) expressed as a trinomial is [tex]2x^2 + 19x + 9.[/tex]

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Answer:

C) 116

Step-by-step explanation:

<F = x

x + 64 = 180

x = 116

Answer:

S.A = 6[tex]s^{2}[/tex]

Answer:

39.6

Step-by-step explanation:

i would give explanation but im bad at doing that

Answer:

39.6

Step-by-step explanation:

24% of 165 = 165 times 24% = 165 × 0.24 = 39.6

Answer:

75

Step-by-step explanation:

Note the location of the vertical line inside the box.  This locates the median.  Looking carefully, we see that this line hovers over 75 in the list of test scores.

The median is 75.  Look up "median" and "box plot" if you need more information.

Answer:

The reflection will be on the first quadrant

Step-by-step explanation:

Here, we want to reflect the given point over the y-axis

By reflecting over the y-axis, we simply have to negate the x-coordinate value

So after the reflection, the point (-8,5) becomes (8,5)

(8,5) is a point on the first quadrant

So we have the position after the reflection on the first quadrant

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

[tex]$=\frac{48}{2}$[/tex]

= 24 feet

a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]  

                                         = 10 feet

b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]

                                     [tex]$=\frac{10}{24}$[/tex]

                                     [tex]$=\frac{5}{12}$[/tex]

c). The percent of the roof used as overhung is

     [tex]$=\frac{4+4}{60}\times 100$[/tex]

     [tex]$=\frac{80}{6}$[/tex]

       = 13.33 %

Answer:-1/7

Step-by-step explanation:

i could be wrong but i tink it going to negative would be the opposite

Answer:

dez nutz

Step-by-step explanation:

DEZ NUTZZZZZ ACROSS YOUR FACE