How much will you lose

Using compound interest and continuous compounding, it is found that it would take 2.61 years longer for Carter's money to triple.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For Carter, we have that the rate of interest and the number of compoundings are, respectively, r = 0.04875 and n = 12. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.04875}{12}\right)^{12t}[/tex]

[tex](1.0040625)^{12t} = 3[/tex]

[tex]\log{(1.0040625)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.0040625)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.0040625)}}[/tex]

t = 22.58.

The amount of money is given by:

[tex]A(t) = Pe^{kt}[/tex]

For Jack, we have that the rate of interest is of k = 0.055, hence:

[tex]A(t) = Pe^{kt}[/tex]

[tex]3P = Pe^{0.055t}[/tex]

[tex]e^{0.055t} = 3[/tex]

[tex]\ln{e^{0.055t}} = \ln{3}[/tex]

[tex]0.055t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.055}[/tex]

t = 19.97.

The difference is given by:

22.58 - 19.97 = 2.61

It would take 2.61 years longer for Carter's money to triple.

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Answer:

4.7m

Step-by-step explanation:

35/7.5

=4.7m

Am sure am correct

Mean is average 11 x 2 = 22

The two cards need to equal 22 when added together.

the difference is 6:

6/2 = 3

11-3 = 8

11+ 3 = 14

14 +8 = 22

the two numbers are 8 and 14

Answer:

~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)

Step-by-step explanation:

Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.

Answer:

[tex]\left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]

Step-by-step explanation:

[tex]x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right][/tex]

[tex]y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right][/tex]

To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.

[tex]2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]

Answer:

#1: 4) D

#2: 1) 34.89 = 3 × C

#3: 4) 6y + 18

Step-by-step explanation:

#1

Using the distributive property:

3 × 5z = 15z

3 × -3 = -9

The correct expression is 15z - 9. Hence, D is the right option.

#2

You need to find the cost of each box.

3 × C = 34.89

34.89 ÷ 3 = 11.63

3 × 11.63 = 34.89

Hence, 1) is the right option.

#3

Using the distributive property:

6 × y = 6y

6 × 3 = 18

The expression is 6y + 18. Hence, 4) is the right option.

hope this helps!! p.s. i really need brainliest :)

Answer:

Using a graduated ruler, draw a line segment AB of length 10 cm.

Draw 2 arcs of radius more than half of AB with A as the center, one above AB and one below AB.

With the same radius, similarly, draw 2 arcs with B as the center.

Answer:

There are 9 ounces of peanuts

Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|

The gym option costs less per class for six classes(Option B), and the gym option costs less per class for seven (Option D).

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Here we're specified that:

For high school classes:

For local gym:

For 6 classes:

High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 6 = $(20+60) = $80

(since $20 dollar is one time cost, and $10 was price for each class)

Similarly, joining local gym's $50 cost is one time, and rest of $5 is price for each class.

Local gym : $50 + $(5+5+5+5+5+5) = $20 + $5 × 6 = $(20+30) = $50

For 7 classes:

High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 7 = $(20+70) = $90

Local gym : $50 + $(5+5+5+5+5+5+5) = $20 + $5 × 7 = $(20+35) = $55

Thus, the statements which are true about the average cost for the two options is given by: Option B: The gym option costs less per class for six classes., Option D: The gym option costs less per class for seven classes.

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The coordinate of point G is its location on the coordinate plane

The area of the triangle would not remain the same

From the question, we have the following points

G = (4,-3) and

G = (4,3)

The above coordinates are two different points, and so they would make the triangle have different areas.

Hence, the area of the triangle would not remain the same

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Answer:

5000(1.04)^x, x is # of years

To know how many calories has Sabir burned in his workout, first identify the calories he burnt every day, and then add them.

The total of calories burnt is equal to adding the calories burnt everyday:

Due to this, the steps recommended are:

Here is a hypothetical example:

Note: This question is incomplete because the chart is not given;  due to this, the answer is based on general knowledge.

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Step-by-step explanation:

a) write 2 2/3 as an improper fraction in its simplest form....

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

[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]

[tex] = \frac{8}{2} \\ [/tex]

[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]

[tex] = \frac{4}{1} = 4 \\ [/tex]

B) Work out 2 2/3 x5 give your anwser as an improper...

[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]

[tex] = \frac{8}{3} \times 5 \\ [/tex]

[tex] = \frac{40}{3} \\ [/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]

As we can see, the probability of this event is 2/7 = 0.28 (approx), so it's even less than 50%, hence we can conclude that the given event is less likely to happen.

The Correct choice is B

The less likely would be the best description of the likelihood of the event.

The correct option is B.

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

The probability of the event is 2/7.

To describe the likelihood of the event,

we can convert the fraction to a decimal:

2/7 = 0.2857...

Since the decimal is between 0 and 0.5, we can say that the event is "less likely" to occur.

Therefore, the best answer is B. Less likely.

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#SPJ7

Answer:

1,253 in³

Step-by-step explanation:

The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.

The formula for the volume of a rectangular prism is length×width×height or base×height

Let's substitute!

(l×w×h)+(l×w×h)

=(7×5×5)+(11×14×7)

=175+1078

=1,253 in³

Hope this helps!

The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The times of the runners in a marathon are normally distributed, with

Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.

The probability of runner selected with time less than or equal to 3 hours and 20 minutes,

[tex]P=1-0.84\\P=0.16[/tex]

Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

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Answer:

Step-by-step explanation:

draw a square and cut it from the top right corner to the bottom left corner it makes a triangle

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

Answer:

26 is a:

B. Whole number

D. Natural number

E. Integer

F. Rational number

Answer:

B, C, D, E, F or all options except A

Step-by-step explanation:

26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on

26 is a whole number.

whole numbers are 0 1 2 3 4 and so on

26 is a real number

imaginary number example: sqrt of -2

natural numbers are numbers going from 1 to infinity

integers are any number that is not a decimal.

26 is rational since it's not irrational.

Answer:

x=15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

The legs and x and 20 and the hypotenuse is 25

20 ^2+x^2 = 25^2

400 + x^2 = 625

Subtract 400 from each side

x^2 = 625-400

x^2 = 225

Take the square root of each side

sqrt(x^2) = sqrt(225)

x = 15

Answer:

152 ft²

Step-by-step explanation:

First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².

Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².

Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².

Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².

Hope this helps!

Answer:

327675

Step-by-step explanation:

the formula of the series is:

16

∑5*2^(n-1)

n=1

the formula for the sum of a geometric series is:

Sn=a(1-r^n)/(1-r)

plug in the values from above

n=16 a=5 and r=2 (values from the geometric function) so

Sn=5(1-2^16)/(1-2)

Sn=327675

The name of the shape depicted in the graph below is rose, so the answer is A.

A rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.

In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.

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Answer:

parallelogram

Step-by-step explanation:

Parallelograms have two pairs of parallel sides and no right angles.

Answer:

Step-by-step explanation:

The slope-intercept formula can be used to find the equation of the line.

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}}[/tex]

y=-3x+14

I hope this helps you! Let me know if my answer is wrong or not.

Step-by-step explanation:

my solution is

1/4, 5/16, 3/8, 7/16, 19/32

Dilation involves changing the size of a figure

The dilation rule of a figure in the coordinate plane by a scale factor of 5 is (b) (x,y) [tex]\to[/tex] (5x,5y)

The scale factor (k) is given as:

k = 5

Assume the coordinates of the figure is (x,y)

The dilation rule would be:

(x,y) [tex]\to[/tex] k(x,y)

Substitute 5 for k

(x,y) [tex]\to[/tex] 5(x,y)

Expand

(x,y) [tex]\to[/tex] (5x,5y)

Hence, the dilation rule is (b) (x,y) [tex]\to[/tex] (5x,5y)

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If the coordinate plane is dilated by a scale factor of 5, hence the resulting coordinate of the preimage will be (5x, 5y)

Dilation is a transformation technique that changes the size and shape of an object in an xy plane

If the coordinate point (x, y) is dilated by a factor of "k", the resulting coordinate of the preimage will be (kx, ky)

If the coordinate plane is dilated by a scale factor of 5, hence the resulting coordinate of the preimage will be (5x, 5y)

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A cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.

A cube is a three-dimensional shape that has equal length, width, and height.

We are given that the height of a cube is 1 unit. Since the length, width, and height of a cube are always equal, therefore:

Length of the cube =1 unit

Width of the cube = 1 unit.

In summary, a cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.

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