Raul deposited $3000. Into a checking account that earned simple interest rate each year. After 3.5 years he earned $262.50 in interest. If no money was deposited or withdrawn from the account what was the annual interest rate?

Answer:

$1500 is a reasonable estimate.

Exact total cost of the clothing is $1536.

Step-by-step explanation:

We have been given that a clothing sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32.

First of all, we will find the estimate of price of clothing by rounding to nearest tens as:

[tex]26\approx 30[/tex]

[tex]22\approx 20[/tex]

[tex]\$32\approx \$30[/tex]

Estimated number of clothing would be [tex]30+20=50[/tex]

Estimated cost would be [tex]\$30\times 50=\$1500[/tex]

Therefore, $1500 is a reasonable estimate for the total cost of the clothing.

Let us find exact total number of clothing by adding 26 and 22 as:

[tex]26+22=48[/tex]

Exact total cost of clothing would be [tex]\$32\times 48=\$1536[/tex]

Therefore, the exact total cost of the clothing is $1536.

Answer:

2. G

3. Plane AGH

4. Four planes

Step-by-step explanation:

2. G is the correct answer. Planes ABC and ABI cross intersect at line AB

3. Plane AGH is parallel to the plane containing line EF

4. There are 4 planes perpendicular. Planes DCJ, DCB, BIH, and JIH are all connected to the front plane and are all parallel.

Final answer:

To find the total cost of the steak platters and gratuity, we add up the costs of each platter and then calculate the gratuity as a percentage of the total cost. Adding up the costs of the platters, we get $97.60. Then, multiplying the total cost by 18% as a decimal, we find the gratuity to be $17.57. Adding the total cost of the platters and the gratuity, we get a total of $115.17.

Explanation:

To find the total cost of the steak platters and gratuity, we need to calculate the cost of each platter and then add them up. The 6-ounce platter costs $9.95, so 4 of them would cost 4 times $9.95, which is $39.80. The 8-ounce platter costs $12.95, so 2 of them would cost 2 times $12.95, which is $25.90. The 11-ounce platter costs $15.95, so 2 of them would cost 2 times $15.95, which is $31.90. Adding up these costs, we get $39.80 + $25.90 + $31.90 = $97.60.

Next, we need to calculate the gratuity. The gratuity is 18% of the total cost of the steak platters, which is 18% of $97.60. To find the gratuity, we multiply $97.60 by 18% as a decimal, which is 0.18. So, the gratuity is $97.60 * 0.18 = $17.57.

Finally, to find the total cost of the steak platters and gratuity, we add the total cost of the steak platters and the gratuity together: $97.60 + $17.57 = $115.17.

Answer:

Equation 4

Step-by-step explanation:

Equation 1 : 2x = 24

                   x = 12

Equation 2: 3x = 64

                   x = 21

Equation 3 : 2x = 28

                    x = 14

Equation 4 : 3x = 125

                    x = 41 (Highest value for x)

Answer:

D, Equation 4.

Step-by-step explanation:

You would divide 24 by 2, = 12

You would divide 64 by 3, = 21.3

You would divide 28 by 2, = 14

You would divide 125 by 3, = 41.6

Therefore D equation 4.

I took test and got it correct. Brainliest!?

Answer:

the number of children has red or brown hair is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

We have  been  given that in Marci's family there are total 6 children.

Out of 6 children

Number of children have blonde hair = [tex]\frac{1}{3}[/tex]

Number of children have red hair = [tex]\frac{1}{6}[/tex]

Number of children have brown hair = [tex]\frac{1}{2}[/tex]

Since, we have to find the fraction of children has red or brown hair=[tex]\frac{1}{6}+\frac{1}{2}=\frac{4}{6}=\frac{2}{3}[/tex]

Hence, the number of children has red or brown hair is [tex]\frac{2}{3}[/tex]

The fraction of children with red or brown hair in Marci's family is 2/3.

To determine the fraction of children that have red or brown hair, we can add the fractions of children that have red hair and brown hair. From the given information, we know that 1/6 of the children have red hair and 1/2 of the children have brown hair. To find a common denominator, we can multiply the fractions by the same number. Multiplying 1/6 by 3, we get 3/18. Multiplying 1/2 by 9, we get 9/18. Adding the two fractions together, we get a total of 12/18. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6. After simplifying, we find that the fraction of children with red or brown hair is 2/3.

Answer:

A

Step-by-step explanation:

We can find the cost per game to see which is the lowest. The lowest cost will be the best deal on football tickets.

Football State - $150/7= $21.43

University of Football - $200/8= $25

Gridiron - $175/6= $29.17

Sports - $125/4= $31.25

Football State University is the best deal.

By calculating the cost per game for each university, Football State University appears to provide the best deal since it has the lowest cost per game among the options.

This is a mathematical problem and relates to the concept of unit price in economics. To answer, you must calculate the cost per game for each university, and the one with the lowest cost per game provides the best deal. For Football State University, you'd do $150 divided by 7, resulting to approximately $21.43. University of Football, $200 divided by 8, which equals to $25. Gridiron University, $175 divided by 6 equals approximately $29.17. Lastly, Sports University $125 divided by 4 gives us $31.25. Therefore, according to these calculations,

Football State University

offers the best deal on football tickets since its price per game is the least.

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Answer:

0

Step-by-step explanation:

[tex]g(x) = 3x + 1 \\\ y = 3x + 1[/tex]

Changing x to y and y to x:

[tex]x = 3y + 1 \\\ 3y = x - 1 \\\ y = \frac{x - 1}{3} \\\ g^{-1}(x) = \frac{x - 1}{3} \\\ g^{- 1} (1) = \frac{1 - 1}{3} \\\ g^{- 1} (1) = 0[/tex]

I hope I helped you.

Answer:

0

Step-by-step explanation:

Hope this helps.

Answer:

h = 3V / lw <===ANSWER

Step-by-step explanation:

V = 1/3 lwh (multiply both sides by 3)

3V = lwh (divide both sides by lw)

3V / lw = h

Answer:

period

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Answer:

Both are correct. See below.

Step-by-step explanation:

Hasan's expression 0.25d will find the amount of the discount in $$$ for a 25% discount. By writing d-0.25d he will also find the sale price by subtracting the original by the discount in $$$.

Bella's expression 0.75d finds the sale price for a 25% discount. If you receive 25% off then you pay 75%. Bella also wrote d-0.75d which gives the amount in dollars of the discount. By subtracting the sale price from the original, we find the deduction the sale gives.

Answer:

Step-by-step explanation:

Answer:

hello :

the graph passes by ( 3; -1/3)  : f(3) = -1/3

a/ (3)^3 = -1/3

a / 27 = -1/3

a/9 = - 1

a = - 9

We have the point:

[tex]\left(3,\ -\dfrac{1}{3}\right)[/tex]

Put the coordinates of the point to the equation of the function f:

[tex]f(x)=\dfrac{a}{x^3}\to y=\dfrac{a}{x^3}\\\\\left(3,\ -\dfrac{1}{3}\right)\to x=3,\ y=-\dfrac{1}{3}\\\\\dfrac{a}{3^3}=-\dfrac{1}{3}\\\\\dfrac{a}{27}=-\dfrac{1}{3}\qquad\text{multiply both sides by 27}\\\\a=-\dfrac{1}{3}\cdot27\\\\\boxed{a=-9}[/tex]

Answer:

Speed of train = 16.67 m/s

Step-by-step explanation:

The translated question is

Annabelle took the Polar Express to the North Pole! The Polar Express is 100 meters long and takes 30 seconds to cross the Santa Fe 400 meter ice bridge. How fast is the train?

Total distance traveled by train to cross the bridge = Length of bridge + Length of train

 Total distance traveled by train to cross the bridge = 400 + 100 = 500 meter.

Time taken for this = 30 seconds.

Speed = Distance / Time = 500/30=16.67 m/s        

Answer:

Speed of train = 16.67 m/s

Step-by-step explanation:

Please give Brainliest

Answer:

since the lines don't intersect there is no solution.

To find the remainder when dividing the polynomial f(x) = x^10-8x^8-8x^3+12x^2-5x-5 by x^2-1, we can use synthetic division. Carrying out the synthetic division process, the remainder is -10x + 7.

To find the remainder when dividing the polynomial f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5 by x^2-1, we can use polynomial long division. However, since we want to avoid this method, we can use synthetic division instead.

After performing synthetic division, we find that the remainder is -10x + 7. Therefore, the remainder when dividing f(x) by x^2 - 1 is -10x + 7.

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If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.

2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore  5 < a ≤ 8

3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.

Answer:

Option D) Angle D is not an exterior angle.

Step-by-step explanation:

An exterior angle of a triangle is formed between the extended line DF and line DE.

This means Exterior angle of a triangle is supplementary to the interior angle formed on the same line.

So, exterior angle D + ∠ EDF should be equal to  180° [ By definition ]

Therefore, angle D shown in the diagram is not the exterior angle.

Option D is the answer.

Answer:

180 grams

Step-by-step explanation:

Mitchell has to use more coffee than usual for two reasons: First, he's making a larger pot than usual (15(15left parenthesis, 15 cups rather than 10)10)10, right parenthesis. And second, he's using the Arabica coffee, which requires 20\%20%20, percent more coffee for the same strength.

2

Instead of brewing \blue{10}10start color blue, 10, end color blue cups, Mitchell wants to brew \red{15}15start color red, 15, end color red cups, which means he has to use \dfrac{\red{15}}{\blue{10}}=\purple{1.5}  

​  =1.5start fraction, start color red, 15, end color red, divided by, start color blue, 10, end color blue, end fraction, equals, start color purple, 1, point, 5, end color purple times more coffee.

3

As his friend said, Mitchell also has to use \pink{20\%}20%start color pink, 20, percent, end color pink more coffee than usual, so he'll have to multiply the amount of coffee by \green{1.2}1.2start color green, 1, point, 2, end color green, or \green{120\%}120%start color green, 120, percent, end color green.

4

The total amount of coffee he has to use is 100100100 grams \times×times \purple{1.5} \times \green{1.2} = 1801.5×1.2=180start color purple, 1, point, 5, end color purple, times, start color green, 1, point, 2, end color green, equals, 180 grams.

Answer:

A Surveyed began playing soccer before the age of 10 is 68%

Step-by-step explanation:

Given the statement: A survey of professional soccer players found that 306 of the 450 players surveyed began playing soccer before the age of 10.

we have to find the percent of those surveyed began playing soccer before the age of 10.

Total number of soccer player  = 450 players.

Number of player began playing soccer before age of 10 = 306

Percent states that it is a number or ratio expressed as a fraction of 100.

Percent = [tex]\frac{306}{405} \times 100[/tex]

               = 68%.

Therefore, 68% of those surveyed began playing soccer before the age of 10.

Answer:

Number of professional soccer players under consideration in a survey [tex]=450[/tex]

Number of professional soccer players who began playing soccer before the age of 10 [tex]= 306[/tex]

We have to find the percent of those surveyed who began playing soccer before the age of 10.

Therefore, the percentage of those surveyed who began playing soccer before the age of 10 is:

[tex]\frac{306}{450} \times 100[/tex]

[tex]0.68 \times 100[/tex]

[tex]68\%[/tex]

Hence, 68% of those surveyed began playing soccer before the age of 10.

Answer:

-1/5

Step-by-step explanation:

Perpendicular lines are lines which have a specific relationship. The slopes of the two lines are negative reciprocals of each other. We can find the slope easily in slope-intercept form, y=mx+b.

Since our equation is already in slope intercept form then y=5x-2 has a slope of 5.

The slope of the perpendicular line will be -1/5. This is the negative reciprocal of 5.

Answer:

The answer is A, -1/5!

The answer i got is VP<------------->

AKA the first option

i hope this is right  

Answer:

p by itself. B

Step-by-step explanation:

The other three have double arrows over the top of them which indicates you are dealing with lines. P is not very well marked so you could make a case for vp not being a line. But p by itself is just a point.

Problem 1

Answer: choice D) 84% of the wage earners earn less than $14,000 each

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

The empirical rule states that 95% of the area under a normal curve is within 2 standard deviations (approximately), so 100-95 = 5% is found in the two tails combined, leaving 5/2 = 2.5% in each tail. Because the top 2.5% earns $18000 or more, this means 18000 is roughly 2 standard deviations above the mean, so z = 2

If z = 2 corresponds to with x = 18000, with mean mu = 10000, then the standard deviation sigma is...

z = (x-mu)/sigma

2 = (18000 - 10000)/sigma

2 = 8000/sigma

2sigma = 8000

sigma = 8000/2

sigma = 4000

So mu+sigma = 10000+4000 = 14000 is the cutoff mark for the earners 1 standard deviation above the mean.

Check out the attached image figue 1 for the diagram for the empirical rule. Add up the values that are to the left of z = 1, so 2.35+13.5+34+34 = 83.85 which rounds to 84

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

Problem 2

Answer: choice D) 2.5%

-----------

x = 250, mu = 190 and sigma = 30

z = (x-mu)/sigma

z = (250-190)/30

z = 60/30

z = 2

According to the emprical rule, roughly 95% of the distribution is within 2 standard deviations. So 100-95 = 5% is in the combined tails leaving 5/2 = 2.5% is in the upper tail.

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

Problem 3

Answer: Choice D) 4,4,4,5,5,6,7,7,8,8,8

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

Plot each of the values on a dot plot. See the attached image figure 2 for each dotplot. Notice how plot D is bimodal with two hill features, so this distribution is non-normal. Normal distributions only have one mode (one hill).

Answer: 85 meters

Step-by-step explanation:

The maximum height is the y-value of the vertex.

h(t) = -4.9t² + 20t + 65

      a=-4.9   b=20  c=65

[tex]t=\dfrac{-b}{2a} = \dfrac{-(20)}{2(-4.9)} =\dfrac{-20}{-9.8}=2[/tex]

h(2) = -4.9(2)² + 20(2) + 65

      = -19.6 + 40 + 65

      = 85.4

Answer:

(x+2)^2+ (y+3)^2= 16

Step-by-step explanation:

Given

Centre(h,k)=(-2,-3)

h= -2

k= -3

Diameter=8 units

To find radius,

r=diameter/2

r=  8/2

r=4 units

The equation for a circle with center at (h,k) and radius r is:

(x-h)^2+ (y-k)^2= r^2

Putting in the values of h,k and r

(x-(-2))^2+ (y-(-3))^2= (4)^2

(x+2)^2+ (y+3)^2= 16

Answer: [tex]\bold{\dfrac{16}{33} = 48\%}[/tex]

Step-by-step explanation:

  Red  or  Green

[tex]=\dfrac{red}{total}+\dfrac{green}{total}[/tex]

[tex]=\dfrac{9}{33}+\dfrac{7}{33}[/tex]

[tex]=\dfrac{16}{33}[/tex]

≈ 48%

Answer:

$50.40

Step-by-step explanation:

you just add 40% to $36

that answer is B because first u have to solve for Z in 2x-3y+Z=19

Z will be Z=-19-2x+3y

Answer:

B. (-2,6,3)

Step-by-step explanation:

First we will cancel the z-variable in the first two equations.  We will do this by adding the second equation to the first:

[tex]\left \{ {{2x-3y+z=-19} \atop {+(5x+y-z=-7)}} \right. \\\\7x-2y=-26[/tex]

Next we cancel the z-variable in the bottom two equations.  We will do this by subtracting the bottom equation from the middle one:

[tex]\left \{ {{5x+y-z=-7} \atop {-(-x+6y-z=35)}} \right. \\\\6x-5y=-42[/tex]

We can now take these equations without z as a system:

[tex]\left \{ {{7x-2y=-26} \atop {6x-5y=-42}} \right.[/tex]

We will make the coefficients of y the same by multiplying the top equation by 5 and the bottom by 2:

[tex]\left \{ {{5(7x-2y=-26)} \atop {2(6x-5y=-42)}} \right. \\\\\left \{ {{35x-10y=-130} \atop {12x-10y=-84}} \right.[/tex]

Next we subtract the bottom equation from the top:

[tex]\left \{ {{35x-10y=-130} \atop {-(12x-10y=-84)}} \right. \\\\23x=-46[/tex]

Divide both sides by 23:

23x/23 = -46/23

x = -2

Substitute this into the first equation without z:

7(-2)-2y = -26

-14-2y = -26

Add 14 to each side:

-14-2y+14 = -26+14

-2y = -12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

Substitute both x and y into our first original equation:

2(-2)-3(6)+z = -19

-4-18+z = -19

-22+z = -19

Add 22 to each side:

-22+z+22 = -19+22

z = 3

Using the equations provided in the answers.

The correct answer is C:

7! / (7-2)!2! =

7 * 6*5*4*3*2*1  / 5*4*3*2*1 * 2 *2 =

5040 / 240 = 21

Answer:

C. 7C2 = 7!/(7-2)!2! = 21

Step-by-step explanation:

its a Pascal triangle showing the combination series

the coefficient in question, 21 is the 2nd term (1 doesnt count) on the 7th row

so 7C2 = 7!/(7-2)!2! = 21

ans is C

Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5

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

Work Shown:

AE = 2*(BD)

4x+8 = 2*(4x+3)

4x+8 = 8x+6

8-6 = 8x-4x

2 = 4x

4x = 2

x = 2/4

x = 1/2

x = 0.5

note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.

another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.

If B and D are midpoints and BD = AE, the lengths BD and AE can be equated. Simplifying the derived equation seems to show a discrepancy suggesting a typo or a misinterpretation in the question.

The problem you're trying to solve involves geometric principles related to midpoints and algebraic concepts. Given that B is the midpoint of segment AC and D is the midpoint of segment CE, we know that BD = AE. Therefore, we can equate the expressions for these segment lengths. This gives us the equation 4x+3 = 4x+8.

To solve for x, we can begin by cancelling out the common terms on both sides, in this case 4x. This simplifies the equation to 3 = 8, which doesn't make sense. This might be an indication of either a typo in the original problem or misinterpretation of the question.

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Answer:

B). −2√6/5

Step-by-step explanation:

tan theta = sin theta/ cos theta

Multiply each side by cos theta

tan theta * cos theta = sin theta

Divide each side by tan theta

cos theta = sin theta/ tan theta

We know that the sin (- theta) = - sin theta  since sin is and odd function

sin theta  = - (  sin (-theta))

Putting this into the above equation,

cos theta =  - (  sin (-theta)) / tan theta

cos theta = - 1/5 / (sqrt(6)/12)

Remember when dividing fractions, we use copy dot flip

cos theta =   -1/5  * 12/ sqrt(6)

cos theta = -12/ (5 sqrt(6))

We cannot leave a sqrt in the denominator, so multiply the top and bottom by sqrt(6)/sqrt(6)

cos theta = -12/ (5 sqrt(6))  * sqrt(6)/sqrt(6)

cos theta = -12 sqrt(6) / 5*6

Simplify the fraction.

cos theta = -2 sqrt(60/5

Given sin(−θ)=1/5, we know sin(θ)=−1/5, and tan(θ)=√6/12 is positive, indicating that cos(θ) must be positive in the fourth quadrant. Using the Pythagorean identity, we find that cos(θ)=2√6/5, which corresponds to option (D).

The question asks for the value of cos(θ) given sin(−θ) = 1/5 and tan(θ) = √6/12.

First, recognize that sin(−θ) = −sin(θ), which means that sin(θ) = −1/5. Then, use the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 to find cos(θ).

sin^2(θ) = (1/5)^2 = 1/25
cos^2(θ) = 1 − (1/25) = 24/25
cos(θ) = ±√(24/25)

Since tan(θ) = √6/12 is positive, and tangent is the ratio of sine to cosine, and we know sine is negative (sin(θ) = −1/5), then cosine must be positive for the tangent to be positive. So, cos(θ) is the positive root.

cos(θ) = √(24/25) = 2√6/5. This matches with option D).