Determine the interest earned on a 3 and 1/4 year investment of $2880 at a rate of 4.5%

Answer:

t

Step-by-step explanation:

both t and s represent x axis value, t is greater as is on the right side from s  

Answer: t

Step-by-step explanation: khan academy

Answer:

B=25

Step-by-step explanation:

Answer:

1. 0.5 L; 2. 5.00 L  

Step-by-step explanation:

V = 5.00 - 0.5n

If you include units, the equation becomes

V(in litres) = 5.00 L - (0.5 L/day) × (n days)

1. Rate of evaporation

When you include the units, it becomes easier to see that the water is evaporating at a rate of 0.5 L/day.

That is, 0.5 L of water evaporates each day.

The negative sign shows that the volume of water is decreasing.

2. Volume at the beginning

At the beginning of the experiment, n = 0. Then

V = 5.00 -0.5×0 = 5.00 - 0 = 5.00 L

The bucket originally contained 5.00 L of water.

Answer:

95.69%

Step-by-step explanation:

We have X is the number of parts produced up to (and including) the first slightly defective part. So, X is Geometric (2/92), which would be the following:

P (X => 3) = Summation i = 3, up to infinity of {[(90/92)^(i-1)] * (2/92)}

We replace and solve and we are left with:

P (X => 3) = (2/92) * (90/92)^(3-1) * 1/(1 - 90/92)

P (X => 3) = 0.9569

Which means that the probability that at least 3 parts must be produced until there is a slightly defective part produced is 95.69%

Answer: Area = 490.87  meters

Step-by-step explanation:

A=πr2

r = 12.5 (1/2 of diameter)

A = 490.87  meters

Step-by-step explanation:

We know that the formula to find the area of a circle is πr^2 or in other words, pi times the radius squared. We have been given the diamter of 25 inches. We know that the diamater is double the radius. 25 divided by 2 will get us 12.5. If we write this in equation form (or substitute the variables) will be written as: (3.14)12.5^2, 3.14 being pi. Now, we would multiply the radius by radius (because it's squared) or in other words, (12.5*12.5) to equal 156.25. If we write this in equation form, we would get: 3.14(156.25). Now we finally multiply pi (3.14) times 156.25 to equal 490.625 or rounded to the tenth 490.6

Answer 9 is in the domain of f g

Step-by-step explanation:

last option

The previous transformation could be classified as a

✔ reflection across the y–axis

.

Step-by-step explanation:

Answer:

D. [3, -1, -1, 3, 4, 4, 1, 1]

Reflection across the y–axis

Step-by-step explanation:

Please mark as Brainliest!

Answer: 3 hours and 18 minutes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x-3)^2=49[/tex]

<=>

[tex](x-3)^2-49=0\\\\<=> (x-3)^2-7^2=0\\\\<=> (x-3-7)(x-3+7)=0\\<=> (x-10)(x+4)=0\\<=> x -10=0\ or \ x+4=0\\<=> x = 10 \ or\ x = -4[/tex]

solutions are -4 and 10

do not hesitate if you need further explanation

if you like my answer, tag it as the brainliest :-)

Answer:

(1)0.0138

(2)A. If the depth of the dive is increased by one meter, it adds 0.0138 minutes to the time spent under water.

Nos 3-12: See Explanation

Step-by-step explanation:

Given the regression equation for the relation of dive duration (DD) to depth (D).

[tex]DD = 2.69 + 0.0138D\\$Where: Duration DD is measured in minutes\\epth D is in meters.[/tex]

(1)The slope of the regression lie =0.0138

(2)

When D=1, DD = 2.69 + 0.0138(1)=2.7038

When D=2, DD = 2.69 + 0.0138(2)=2.7176

2.7176-2.7038=0.0138

Therefore, If the depth of the dive is increased by one meter, it adds 0.0138 minutes to the time spent under water.

(3) When depth, D =200 meters

DD = 2.69 + 0.0138(200)=5.45 Minutes

(4) When depth, D =210 meters

DD = 2.69 + 0.0138(210)=5.588 Minutes

(5) When depth, D =220 meters

DD = 2.69 + 0.0138(220)=5.726 Minutes

(6) When depth, D =230 meters

DD = 2.69 + 0.0138(230)=5.864 Minutes

(7) When depth, D =240 meters

DD = 2.69 + 0.0138(240)=6.002 Minutes

(8) When depth, D =150 meters

DD = 2.69 + 0.0138(150)=4.76 Minutes

(9) When depth, D =160 meters

DD = 2.69 + 0.0138(160)=4.898 Minutes

(10) When depth, D =170 meters

DD = 2.69 + 0.0138(170)=5.036 Minutes

(11) When depth, D =180 meters

DD = 2.69 + 0.0138(180)=5.174 Minutes

(12) When depth, D =190 meters

DD = 2.69 + 0.0138(190)=5.312 Minutes

A regression line is only a single line that fits the data the best. It tells how steep it is, whereas the intercept reveals where it intersects an axis.

For question 1):

By calculating the slope of the regression line we get the slope value that is [tex]= 0.0138[/tex]

For question 2):

Describe whatever this slope means about this penguin's dives in precise terms.

The time spent under liquid increases by 0.0138 minutes whenever the diving depth is raised by one meter, which is equal to "Option A".

For question 3):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times200 = 2.69+2.76 = 5.45\ minutes[/tex]

For question 4):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times210 = 2.69 + 2.898 = 5.588\ minutes[/tex]

For question 5):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 220 = 2.69 + 3.036 = 5.726\ minutes[/tex]

For question 6):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times230 = 2.69 + 3.174 = 5.864 \ minutes[/tex]

For question 7):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times240 = 2.69 + 3.312 = 6.002\ minutes[/tex]

For question 8):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 150 = 2.69 + 2.07 = 4.76\ minutes[/tex]

For question 9):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 160 = 2.69 + 2.208 = 4.898\ minutes[/tex]

For question 10):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 170 = 2.69 + 2.346 = 5.036\ minutes[/tex]

For question 11):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 180 = 2.69 + 2.484 = 5.174 \ minutes[/tex]

For question 12):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 190 = 2.69 + 2.622 = 5.312\ minutes[/tex]

Find out more about the regression line here:

brainly.com/question/7656407

Answer:

The probability that either Alex or Bryan get an A is 0.9

Step-by-step explanation:

Before we proceed to answer, we shall be making some important notation;

Let A = event of Alex getting an A

Let B = event of Bryan getting an A

From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ [tex]B^{c}[/tex] ) = 0.1

We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)

We can use the addition theorem here;

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)  .......................(i)

Also,

P(A) = P(A ∩ [tex]B^{c}[/tex] )  +   P(A ∩ B)   .........................(ii)

We can insert ii into i and we have;

P(A ∪ B) =  P(A ∩ [tex]B^{c}[/tex] )  +   P(A ∩ B)  + P(B) - P(A ∩ B) =   P(A ∩ [tex]B^{c}[/tex] ) + P(B) = 0.1 + 0.8 = 0.9

Answer:

176 sweets

Step-by-step explanation:

162 - 30 = 132 this finds the 3/4 before he purchased more sweets.

132 divided by 3 = 44 This finds how many thirds their are. (We do 3 not 4 because 1/4 is already gone and there are only 3rds lefts.)

44 x 4 = 176 This finds the total before he purchased more.

Hope this helps!

Answer:

Step-by-step explanation:

mabey its c

The equation which is equivalent to [tex]2^{\frac{2}{3} }[/tex] will be equal to [tex]\sqrt[4]{2^3}[/tex]. Hence, option C is correct.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

[tex]2^{\frac{2}{3} }[/tex] = 1.68

Now, let's check the options,

A.

[tex](2^{\frac{1}{4} } )^{\frac{1}{2} }[/tex] = 1.09 ≠ 1.68, hence this is incorrect.

B.

[tex]2\frac{1}{4}*2\frac{1}{2}[/tex] = 9/4 × 5/2 = 5.625 ≠ 1.68, hence, this is incorrect.

C.

[tex]\sqrt[4]{2^3}[/tex] = 1.68 = 1.68, hence, this is correct.

D.

√8 = 2.82 ≠ 1.68, hence, this is incorrect.

To know more about arithmetic operations:

https://brainly.com/question/13585407

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Answer:

  (0, ∞)

Step-by-step explanation:

A good place to start is by visualizing what the graph looks like on a number line.

For x > 0, it is an open circle at x=0, and shading to the right extending to infinity.

__

So, the left end of the interval is 0, but 0 is not included in the interval.

The right end of the interval is infinity, but there is no such number, so "infinity" is not included in the interval.

"Not included" means you use round brackets ( ) for the corresponding end of the interval. ("Included" would mean you use square brackets [ ].)

So, the interval 0 < x < ∞ is written in interval notation as ...

  (0, ∞)

Answer:

D Y is all real numbers

Step-by-step explanation:

When looking at the y axis, you can see that if the graph were to be bigger, the line would keep going. This means y will never stop.

Answer:The point from which circle is drawn is called center of circle.

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Answer:

662

Step-by-step explanation:

l x w

10x41

6x22

8x15

662

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Square root is finding what number times what gets your goal.

10 x 10 = 100 so 100 squared is 10.

5 x 5 = 25 so 25 squared is 5.

4 x 4 = 16 so 15 squared is 4.

You get it? :)

Have a nice day!

Answer:

His speed as he left the floor is 4.83 m/s.

Step-by-step explanation:

Given: 46 inches = 1.1684 m and mass = 200 lb = 90.7185 Kg.

From the third equation of motion under free fall,

  [tex]V^{2}[/tex] = [tex]U^{2}[/tex] - 2gs

Where; V is the final velocity (0), U is the initial velocity (unknown), g is the value of gravity - 10 m/[tex]s^{2}[/tex] and s is the distance = 1.1684 m.

Then;

0 = [tex]U^{2}[/tex] - 2gs

[tex]U^{2}[/tex] = 2gs

   = 2 × 10 × 1.1684

  = 23.368

⇒ U = [tex]\sqrt{23.368}[/tex]

       = 4.8340 m/s

The initial velocity, U = 4.83 m/s.

Therefore, his speed as he left the floor is 4.83 m/s.

Answer:

His speed as he left the floor is 4.83 m/s.

Step-by-step explanation:

Answer:

30 years old

Step-by-step explanation:

Joe's age can be set to x. Since Billy is twice as old as Joe, his age can be set to 2x. They add up to 45. You can set up an equation, 2x+x=45.

Simplify the equation.

3x=45, x=15

Joe is 15. Billy is 2(15)=30.

Answer:

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   [tex]x = \frac{1}{\sqrt{2} }[/tex]  

Step-by-step explanation:

Step(i):-

Given function

                       [tex]f(x) = \frac{-x}{2x^{2} +1}[/tex]     ...(i)

Differentiating equation (i) with respective to 'x'

                     [tex]f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }[/tex]   ...(ii)

                    [tex]f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }[/tex]

Equating Zero

                   [tex]f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0[/tex]

                 [tex]\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0[/tex]

                [tex]2 x^{2}-1 = 0[/tex]

               [tex]2 x^{2} = 1[/tex]

             [tex]x^{2} = \frac{1}{2}[/tex]

             [tex]x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

[tex]f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }[/tex]

put

      [tex]x = \frac{1}{\sqrt{2} }[/tex]

[tex]f^{ll} (x) > 0[/tex]

The absolute minimum value at   [tex]x = \frac{1}{\sqrt{2} }[/tex]

Step(iii):-

The value of absolute minimum value

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

                       [tex]f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}[/tex]

         on calculation we get

The value of absolute minimum value = - 0.3536      

Final answer:-

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   [tex]x = \frac{1}{\sqrt{2} }[/tex]    

Answer:

12 x y² + 6 y³

Step-by-step explanation:

Step(i):-

Given ( 2 x + x + x + 2 y ) times 3 y times y

( 2 x + x + x + 2 y ) × 3 y × y = ( 4 x + 2 y) × 3 y × y =  ( 4 x + 2 y) 3 y²

By applying Distributive property

( a + b ) c = a . c + b . c

               = 4 x . 3 y² + 2 y . 3 y²

               = 12 x y² + 6 y³

Final answer:-

( 2 x + x + x + 2 y ) times 3 y times y =  12 x y² + 6 y³

Answer:

$7875

Step-by-step explanation:

1 Month      4000 Paid

2 Months    2000 Paid

3 Months     1000 Paid

4 Months     500 Paid

5 Months      250 Paid

6 Months       125 paid

Total = $7875 Paid

Hope this helped ;)

Answer:

# of pages   # of magazines

     1-20                    7

   21-40                    4

Step-by-step explanation:

Numbers 1 through 20:

10, 11, 14, 16, 17, 17, 20 (7 numbers)

Numbers 21 through 40:

21, 28, 29, 32 (4 numbers)

Answer:

Number of bags that Bonnie can make so that each one has the same number of candies = 48

Number of candies from bag I in each of the treat bag = 5

Number of candies from bag II in each of the treat bag = 13

Number of candies from bag III in each of the treat bag = 7

Step-by-step explanation:

Given: One bag (I) has 240 candies, one bag (II) has 624 candies and one bag (III) has 336 candies

To find: Number of bags that Bonnie can make so that each one has the same number of candies and number of each type of candies in each bag

Solution:

[tex]240=2^4\times 3\times 5\\624=2^4\times3\times13\\336=2^4\times3\times7[/tex]

Highest common factor (H.C.F) = [tex]2^4\times3=48[/tex]

So,

Number of bags that bonnie can make so that each one has the same number of candies = 48

Now,

[tex]\frac{240}{48}=5\\ \frac{240}{48}=13\\\frac{240}{48}=7[/tex]

Number of candies from bag I in each of the treat bag = 5

Number of candies from bag II in each of the treat bag = 13

Number of candies from bag III in each of the treat bag = 7

Answer:

1. Parameter because the value is a numerical measurement describing a characteristic of a population

Step-by-step explanation:

A parameter is a fixed measure which describes the whole population while a statistic is a characteristic of a sample (which is a portion of the target population).

In a study of all 1963 employees at a college, it is found that "40%" own a computer.

The study involved the entire population of employees in the college, therefore the result describes the computer owning characteristics of the whole population under study. It is therefore a parameter.

The correct option is 1.

Answer:

(a) 17/20 b.5/18/25 c. 1.255

Answer:

D. ​Yes, because the frequencies start​ low, proceed to one or two high​ frequencies, then decrease to a low​ frequency, and the distribution is approximately symmetric.

Step-by-step explanation:

Hello!

The given frequency distribution for temperatures.

To see if the distribution appears to have a normal distribution you have to draw a histogram using the information. Check attachment.

As you can see, the distribution appears symmetric, it starts low and proceeds to grow until it reaches its maximum point (f(4)=13) and then starts to decrease to low frequencies. The right tail decreases a little more than the left one but it is almost symmetrical.

I hope this helps!

Answer:

20:30 goes to 8:12

the rest goes to 6:18

Step-by-step explanation:

i may be wrong

Answer:

7:12 is equivalent to 6:18

20:30 is equivalent to 8:12

5:15 is equivalent to 6:18

Step-by-step explanation:

plz mark brainliest