the population of red hook is growing at a rate of 3.5% per year. if its current population is 12,500, in how many years will the population exceed 20,000? round your answer to the nearest year. only an algebraic solution is acceptable.

Answer:

Buy Two tshirts and a pair of pants....

Step-by-step explanation:

Total purchase -

$9.85 + $56.00 = $65.85

Shipping charges is 20%  -

65.85 * 0.2 = 13.17

Total (including shipping) = $79.02

If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,

Total purchase will be -

$9.85 + $56.00 + $9.85 = $75.70

Puchasing 2 tshirts will be $3.32 cheaper....

Answer:

You should buy a second t-shirt.

Step-by-step explanation:

The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

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

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

The required value of y is 117°

Given AB and CD are parallel lines;

and EF is the transversal

Thus 2x + 16 = 3x - 12 { because they are corresponding angles }

On solving the above mentioned linear equation

we get,

x = 25

Thus the required angles are  2x + 16 = 50 + 16 = 66 degrees

and 3x - 12 = 75 - 12 = 63 degrees

And to find the value of y

we can use linear pair property

Thus y + 63 = 180

y = 180 - 63

y = 117 °

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)

To find the rate of interest, given the principal, interest amount, and time, we can use the formula: rate = (interest / principal) * (1 / time). By substituting the given values into the formula and performing the calculations, we can determine the rate of interest.

The rate of interest can be calculated using the formula: rate = (interest / principal) * (1 / time). In this case, the principal is $5000, the interest amount is $45.58, and the time is 1 year.

Substituting the values into the formula, we get: rate = (45.58 / 5000) * (1 / 1) = 0.009116 * 1 = 0.009116.

To round the rate to the nearest hundredth place, we consider the two decimal places after the point. Since the third decimal place is less than 5, we leave the second decimal place unchanged. Therefore, the rounded rate is approximately 0.01.

Hence, the rate of interest is approximately 0.01 or 1%.

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Answer:

i have no idea

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Answer: $262.5‬0

Step-by-step explanation:

The yards are sized in a ratio of 4:5.

Assuming the perimeter of both farms is x, the formula to calculate it will be;

\(\frac{4}{4 + 5} x = 280\\\\x = 280/\frac{4}{9} \\\\x = 630 yards\)

The perimeter of the larger fence will therefore be;

= 630 - 280

= 350 yards

The cost to dig the trench will be;

= 350 * 0.75

= $262.5‬0

The relationship between 1.8/7.2 and 0.4/1.6 is that they represent the same fraction. Both fractions simplify to 1/4.

To determine the relationship between the fractions 1.8/7.2 and 0.4/1.6, we can simplify both fractions to their simplest form.

First, let's simplify 1.8/7.2. We can divide both the numerator and denominator by 1.8 to obtain 1/4. This means that 1.8/7.2 is equivalent to 1/4.

Next, let's simplify 0.4/1.6. We can also divide both the numerator and denominator by 0.4, which gives us 1/4.

Therefore, both fractions, 1.8/7.2 and 0.4/1.6, simplify to 1/4. This indicates that the relationship between the two fractions is that they represent the same value, or in other words, they are equal to each other.

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Answer:

There are 6 strawberry candies in the bag

Step-by-step explanation:

The probability of an event occurring = (The number of required outcome) ÷ (The number of possible outcome)

The given parameters in the question are;

The number of different types of fruit in Marina's bag = 3

The type of fruits in the bag = Lemon, watermelon, strawberry

The probability of choosing strawberry, P = 1/5

The number of lemon candies in the bag = 16

The number of watermelon candies in the bag = 8

Let, 'x', represent the number of strawberry candies in the bag

Therefore, by the definition of probability, we have;

P = 1/5 = x/(x + 16 + 8)

x + 16 + 8 = 5·x

16 + 8 = 5·x - x = 4·x

24 = 4·x

∴ x = 24/4 = 6

The number of strawberry candies in the bag, x = 6 strawberry candies.

The equation of the circle whose diameter has endpoints (-1, 4) and (-3, -4) is (x + 2)² + y² = 17.

To find the equation of the circle, use the midpoint formula. Then, use the distance formula to find the radius of the circle.

Midpoint of the diameter endpoints (-1, 4) and (-3, -4) can be found as follows:

Midpoint formula: ((x1+x2)/2, (y1+y2)/2)

Substitute the given values of the endpoints.

(-1, 4) and (-3, -4)

(-1 + -3)/2, (4 + -4)/2

(-4/2, 0/2)

The midpoint is (-2, 0).

Using the distance formula, determine the radius of the circle.

Distance formula: √[(x2-x1)² + (y2-y1)²]

Substitute the given values of the endpoints.

(-1, 4) and (-3, -4)

d = √[(-3 - (-1))² + (-4 - 4)²] = √[(-2)² + (-8)²] = √[4 + 64] = √68 = 2√17

Since the diameter is the distance between (-1, 4) and (-3, -4), it has a length of 2 times the radius. Hence, the radius is r = (1/2) d = √17.

The equation of the circle is (x + 2)² + y² = 17.

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Answer:

8n+15p+11

Step-by-step explanation:

just combine like terms

The net will form a square based triangular pyramid. The surface area will be 48 units².

The net will form a square based triangular pyramid.

Dimensions of square:

Side = 4 units.

Area = 4² = 16 units²

Dimension of triangle:

Height = 4 units

base = 4 units.

Area = 4 × 1 / 2 × 4 × 4

A = 32 units ²

Total surface area = 16 + 32 = 48 units².

Therefore, the net will form a square based triangular pyramid. The surface area will be 48 units².

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Answer:

y−4= −1/2 (x−4)

Step-by-step explanation:

The point-slope equation of the line through (-4,8) and (4,4) will be; y−4= −1/2 (x−4)

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that the line that passes through the points (-4,8) and (4,4).

To find the slope of the line that passes through points (-4,8) and (4,4).

Therefore, the slope of the line is;

m = Δy/Δx

m = (4 - 8)/(4 + 4)

m = -4/8

When we simplify it, then we get the;

m = -1/2

The point-slope equation will be;

y−4= −1/2 (x−4)

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A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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Answer:

y = 13.9

Step-by-step explanation:

The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. \(\sqrt{192}\) is about 13.9

The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.

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

The area of the rectangle = length × Width

One of Julian's friends also has a rectangular aquarium.

The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

Let x be the length of Julian's tank.

Let y be the width of Julian's tank.

So, the Area of Julian's tank = length × Width

                                               = xy

Since we are given

300 = xy

Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.

So, the length of his friend's tank = 5/4 x

So, the width of his friend's tank = 5/4 y

So, Area of his friend's tank = ( 5/4 x) (5/4 y)

                                           = 25 / 16 xy

                                           = 25 / 16 (300)

                                           = 468.75

Hence the area of the rectangular base of his friend's tank is 468.75 square inches.

So, Option D is correct.

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Answer:

Step-by-step explanation:

\((\frac{13 - \sqrt{57} }{8} , \frac{13 + \sqrt{57} }{8} )\)

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

Answer:

Width=8

Length=28

Step-by-step explanation:

Width=x

Length=3x+4

perimeter is 2 lengths and 2 widths

2x + 2(3x+4)=72

2x+6x+8=72

8x=72-8

8x=64

x=8, so the width is 8

the length Is 3(8)+4 = 28

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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The transformation graph is attached

The domain of the function y =  e^(x + 2) - 3 is: all real number

The range of the function y =  e^(x + 2) - 3 is: y > -3

The transformation from y =  e^x  to y =  e^(x + 2) - 3 is as follows:

The range of the function: y =  e^(x + 2) - 3

y =  e^(x + 2) - 3

y + 3 = e^(x + 2)

x + 2 = ㏑ (y + 3)

x = ㏑ (y + 3) - 2

hence y > -3

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Answer:

x=1

Step-by-step explanation:

it is

Answer:

3/4

Step-by-step explanation:

the bone and the steak weigh = 1 5/8 pounds

The bone weighs 7/8

The meat weighs = 15/8 - 7/8

Converting 1 5/8 to an improper fraction gives 13/8

13/8 - 7/8 = 6/8 = 3/4

Answer: 1.4

Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.

So, its 2y=2.8

To solve this, you simply divide both sides of the equation by 2.

2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4

So, y=1.4

\(\text {Hello! Let's solve this Equation!}\)

\(\text {The First Step is to Flip the Equation:}\)

\(\text {Before: 2.8=2y}\\\text {After: 2y=2.8}\)

\(\text {Your Final Step is to Divide by 2:}\)

\(\text {2y/2=2.8/2}\)

\(\text {Your Answer will be:}\)

\(\fbox {y=1.4}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Answer:21.149

Step-by-step explanation:If you add them all together you get 21.149 5x4 =20 so add the decimals last then add 20 when you add .04+.069 then add .4+.64 then add the answers and get 21.149.

Answer: 1/2 cups

Step-by-step explanation:

Given that:

Every 1/4 cup of tuna has 1/2 gram of fat

How many cups of tuna are there for every gram of fat:

Let cup of tuna for 1 gram of fat = t

Hence, If

1/4 cup of tuna = 1/2 cup of fat

t tuna = 1 cup of fat

Cross multiply :

1/2 t = (1/4 * 1)

1/2 t = 1/4

t = 1/4 ÷ 1/2

t = 1/4 * 2/1

t = 2/4

t = 1/2

Hence, 1/2 cups of tuna for every gram of fat

Answer:

64

Step-by-step explanation:

Answer:

130.26

Step-by-step explanation:

257.40-21.82-150.32=45=130.26