Find the values of r and t.

Answer:

the answer is that X= -8/5

Step-by-step explanation:

Carrie must have invested £2550 at 8% interest rate for 1 year

What is the present value of £2754 ?

The present value of £2754  is its today's worth of the £2754  that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754  today

PV=FV/(1+r)^N

PV=amount invested=unknown

FV=worth of investment after 1 year=£2754

r=interest rate=8%

N=number of years since invested=1

PV=£2754/(1+8%)

PV=£2754/1.08

PV=£2550

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Answer:

The answer is A: 1/25

Using the segment addition postulate, the value of p = 5, and YZ = 9 units.

Since point Y lies between points X and Z, the three points are collinear, therefore, based on the segment addition postulate, XY + YZ = XZ.

Given the following:

XY = 3p

YZ = 2p - 1

XZ = 6p - 6

Substitute

3p + 2p - 1 = 6p - 6

Add like terms

5p - 1 = 6p - 6

5p - 6p = 1 - 6

-p = -5

p = 5

YZ = 2p - 1

Plug in the value of x

YZ = 2(5) - 1

YZ = 9 units.

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Answer:

Step-by-step explanation:

Volume formula  V= lwh

Given

Volume is:

Correct option is A

Answer:

fraction 3 and 3 over 5 cubic feet

Step-by-step explanation

Answer:

x = 20.996 , 1.002 square inches.

Step-by-step explanation:

We assume that the sides are bent at right angles

Dimensions of the given metal sheet are

Length = 18feet = 216 inches

Width = 44 inches

When we will bend the width part of the given metal sheet

let the bent length be x

so the cross sectional dimensions will be

width = 44-2x

length = x

Area  = x(44-2x)

The given are should be at most 50 square inches

so the equation becomes

x(44-2x)[tex]\leq 50[/tex]  

-2x^2 + 44x [tex]\leq 50[/tex]

[tex]2x^2 -44x +50\geq 0[/tex]

[tex]x^2 -22x +25\geq 0[/tex]  (dividing the equation by 2)

upon solving the above quadratic equation we get

x = 20.996 , 1.002

both the solutions are possible.

Therefore we have the are using the values of x as  20.996 and  1.002 are

42.159968 and 42.079992 which is less than 50 square inches.

Answer:

84

Step-by-step explanation:

6•11 for rectangle and 1/2 6•6 for triangle add and you get 66+18=84

Answer:

84

Step-by-step explanation:

find the area of the triangle first

= 1/2 * 6 * 6

=18 in^2

rectangle

= L * W

= 6*11

= 66 in^2

therefore, 66+18

=84

Answer:

The equation of the quadratic function is y = -4(x + 1)² + 8

Step-by-step explanation:

The vertex form of the quadratic function is y = a(x - h)² + k, where

∵ The vertex of the graph of the quadratic function is (-1, 8)

∴ h = -1 and k = 8

→ Substitute the values of h, k in the form of the equation above

∵ y = a(x - -1)² + 8

∴ y = a(x + 1)² + 8

→ To find a substitute x and y of the equation by the coordinates

   of a point lies on the graph of the function

∵ The y-intercept is 4

→ That means the graph intersect the y-axis at point (0, 4)

∴ x = 0 and y = 4

∵ 4 = a(0 + 1)² + 8

∴ 4 = a(1)² + 8

∴ 4 = a(1) + 8

∴ 4 = a + 8

→ Subtract 8 from both sides

∵ 4 - 8 = a + 8 - 8

∴ -4 = a

→ Substitute the value of a in the equation

∴ y = -4(x + 1)² + 8

∴ The equation of the quadratic function is y = -4(x + 1)² + 8

Answer:

1 hen lays 1 egg in 3 days

Basically, in 3 days 1 hen lays 1 egg

1 hen lays 4 eggs in 12 days

Therefore, 3 hens lay 12 eggs in 12 days ******************

1 hen lays 3 eggs in 9 days ******************

Step-by-step explanation:

Answer:

I and III only. Got it correct on Stats test.

Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.

Given that, at King Kong High School, the average weight of senior boys is 168 lbs.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Here, a new distribution is created by adding the boys' weights and the girls' weights together.

So, the new average weight of senior boys and girls

= 168+117

= 285 lbs

The new standard deviation is 5+7

= 12 lbs

Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.

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Answer/step-by-step explanation:

We know that during their first year, the company caught 95,000 fish, and the amount of fish caught decreased 4% each year. First, let's calculate 4% of 95,000, by doing the equation: 95,000 x 0.04 = 3,800

So, each year, the company catches 3,800 less fish.

In order to find out how many fish the company caught in ten years, we need to multiply 3,800 x 10 and then subtract it from 95,000. Then we need to multiply that number by 10.

3,800 x 10 = 38,000

95,000 - 38,000 = 57,000 x 10 = 570,000.

Therefore, the company caught a total of 57,000 fish in the first ten years.

Hope this helps! :D

Answer:

4

Step-by-step explanation:

fourrrrrrr

2x + -10 = 10 + -3x

Explanation

Reorder the terms:

-10 + 2x = 10 + -3x

-10 + 2x = 10 + -3x

Solving for variable x

Move all terms containing x to the left, all other terms to the right

Add 3x to each side of the equation

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

Answer

So your answer is x=4

hope that helps you:)

Answer:49 cents

Step-by-step explanation:

U have to divide the 1.47 into 3

Answer:

The equation of the line:

[tex]y=\frac{3}{2}x+9[/tex]

Step-by-step explanation:

Given

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2/3

perpendicular to m = -1/m

                                 [tex]=-\frac{1}{\left(\frac{-2}{3}\right)}=\frac{3}{2}[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 3/2 and the point (-4, 3)

[tex]y-3=\frac{3}{2}\left(x-\left(-4\right)\right)[/tex]

[tex]y-3=\frac{3}{2}\left(x+4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=\frac{3}{2}\left(x+4\right)+3[/tex]

[tex]y=\frac{3}{2}x+9[/tex]

Thus, the equation of the line:

[tex]y=\frac{3}{2}x+9[/tex]

The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

Number of protozoa 5 days ago = 1

Since protozoa double every 1.25 days.

Number of times protozoa doubles in 5 days ⇒

5 / 1.25 = 4 times.

So,

1 →2 → 4 → 8 → 16

Hence "The number of protozoa on the slide now is 16".

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Answer: maybe c?

Step-by-step explanation:

from eqn. 1

3x + 2y = 23

2y = 23 - 3x

y = 23/2 - 3/2x

sub into eqn. 2

1/2x - 4 = 23/2 - 3/2x

1/2x + 3/2x = 23/2 + 4/1

2x = 23/2 + 8/2

2x = 31/2

x = 31/4

sub into eqn. 1

31/4 + 2y = 23

2y = 23 - 31/4

2y = 92/4 - 31/4

2y = 61/4

y = 61/8 or 7 5/8  

ummm i got something wrong but try c?

Answer:

C . 31/4,-1/8

Step-by-step explanation:

1. sub the given value of y

into 3x + 2 (1/2x -4) 23

2. slove for x = 31/4

3.sub the given value of x into 1/2x - 4 =y

4. solve the equation for y

5. y = -1/8

6. ordered pair to (x,y) = 31/4,1,8

Answer:

6,354.12

Step-by-step explanation:

The length of the segment to the nearest tenth of a centimeter is 105.0 cm

The given parameter is the line segment

When the line segment is measured by a meter rule, we have the length to be

Length = 105 cm

When approximated to the nearest tenth, we have:

Length = 105.0 cm

Hence, the length of the segment to the nearest tenth of a centimeter is 105.0 cm

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Answer: 5.8

Step-by-step explanation:

To find the answer to this question, you need to find the difference between the two numbers. To find the difference between the two numbers you have to subtract.

 9 - 3.20 = 5.8

Answer:

$4

Explanation

3.20 / 4 = .80   .80 x 9 = 7.20   7.20 - 3.20 = 4

Answer:

I think its 63 degrees.

Answer:

63

Step-by-step explanation:

In a triangle, all interior angles add up to 180

47+70+x=180

x=63

Answer:

24/6=4

48/6= 8

so x=8

Step-by-step explanation:

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

Explanation:

Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.

So,

GJ = 2*PQ

Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ

Or in short,

GJ = 2*RJ

---------

In summary we can see that

equating both right hand sides leads to

2RJ = 2PQ

RJ = PQ

Because PQ is 10 units, this means RJ is also 10 units.

--------------------

Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.

Answer:

a^2 + b^2 = c^2

C should equal to the longer side, which would be 19.

Plug in other two numbers for A and B.

12^2 + 14^2 = 19^2

Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle.

144 + 196 = 361

340 = 361

It's not a right triangle.

Step-by-step explanation:

Because I know it.  Can You mark me as a brainliest?

Answer: [tex]c. (t:58\leq t\leq 70)[/tex]

Step-by-step explanation:

given data:

T =  58 degree Celsius.

changes in temperature = 3dregres every hour = 4.

solution:

[tex]t=58+3h\\where h = 4[/tex]

substitute the value for h into the equation.

[tex]t=58+3(4)\\t=58+12\\t=70[/tex]

the set with [tex]58\leq t\leq 70[/tex]  best represents the function range.

Answer:

The total perimeter she would need to fence would be:

4L + πr

Step-by-step explanation:

Since her yard is a square and half a circle, and she wants to fence the whole distance around the square and the half circle, then she needs to know the perimeter of a square and semicircle.

The perimeter of a square which is the distance around the square is given by 4L where L is the side length.

The perimeter of a circle, which is the circumference of a circle is 2πr, where r is the radius of the circle Therefore, half a circle would be 2πr/2 = πr.

The total perimeter she would need to fence would be:

4L + πr.

Answer:

Thanks for the free points...

I love school by the way

Answer:

hey

can you give me a brainliest

Step-by-step explanation:

Answer:

12/37

Cos D = 12/37

Juan sent 34 text messages.

First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.

Answer:

It's D

Step-by-step explanation:

10 divided by 20