HEEEEEEEEEEELLLLLLLPPPPP PLEASE ); Kingston deposited $90 in a savings account earning 6% interest, compounded annually. To the nearest cent, how much will he have in 2 years?


Answer 1

Answer: 101.12

Step-by-step explanation: This answer is rounded to the nearest cent. The other is not, and will count it wrong.

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A coin is flipped three times. James is declared the winner if there are at least two tails. Peter is declared the winner if there is a head flipped.a. How many different outcomes are there?b. What is the probability that James wins?c. What is the probability that Peter wins?d. Is the game fair?e. Are there any outcomes where the game would be tied?f. Are there any outcomes where no one would win?

Find an exact value of sin(17pi/12)



   Hi my lil bunny!



= (53.407075)/(12)

= 4.45059



If this helped you, could you maybe give brainliest..?

Also Have a great day/night!


I have an answer and explanation but I can't type so search up the question you asked and you should get an answer and explanation from s0cratic.

Simplify the following:3( x + 1) – 4( 2x – 5 ) + 10x
O 5x - 32
0 21x + 23
0 5x + 23
O 5x - 17




Step-by-step explanation:

3(x+1) - 4(2x-5) + 10x

3x+3 - 8x+20 + 10x

(3x-8x+10x = 5x)

(3+20 = 23)

Therefore, answer is 5x-23. :)

A rectangular block of aluminum30 mm×60 mm×90 mm is placed in apressurechamber and subjected to a pressure of 100 MPa. If the modulus of elasticity is 75GPa andPoisson's ratio is 0.35, what will be the decrease in the longest side of the block, assuming thatthe material remains within the linear elastic region? What will be the decrease in the volume oftheblock? g



\Delta V = - 216.415 mm^3

Step-by-step explanation:

we know that change is length is calculated by following strain relation

\Delta L = L * \epsilon_x

where strain is given as

\epsilon_x = (\sigma_x - \nu(\sigma_y + \sigma_z))/(E)

\epsilon_x = (-10^8 - 0.35 ( -10^8 -10^8 (N/m^2)))/(7.5 * 10^10)

\epsilon_x = -4.453 * 10^(-4)

plugging strain value in change in length formula

\Delta L =  90 *  -4.453 * 10^(-4)  = - 0.04008 mm

calculate the length on the longer side

L_(long) = L = \delta L

              = 90 - 0.04008 = 89.95 mm

intial volume =  90*60*30 = 1.62 * 10^5 mm^3

change in volume

\Delta V =V ( \epsilon_x +\epsilon_y +  \epsilon_z )

\Delta V = 1.62 * 10^5 (-4.453 - 4.453 - 4.453) * 10^(-4)

\Delta V = - 216.415 mm^3

Final answer:

Calculations involve determining strain from given pressure and Modulus of Elasticity and then determining the decrease in length of the longest side and total volume of the aluminum block when subjected to pressure.


The question is about applying principles of material science under conditions of pressure. The decrease in length and volume of a rectangular block of aluminum when subjected to pressure can be calculated by using the concepts of Modulus of Elasticity and Poisson's Ratio.

First, the strain experienced can be calculated using the formula:

Strain = Pressure / Modulus of Elasticity

Substituting the given values, the strain is found. The change in the longest side (90mm) is calculated by multiplying the original length by the strain. The volume change is calculated using the formula:

Change in volume = Original volume * (-3) * strain

Where original volume is = 30mm * 60mm * 90mm. Here the negative indicates a decrease. This will provide the decrease in the longest side and the total volume of the block when subjected to the given pressure.

Learn more about Material Deformation under Pressure here:



What is the answer?



C. 2.75P

Step-by-step explanation:

The original value was P.

It increased by 275%. That means it increased by 275% of P.

275% of P = 2.75P

The increase in value is 2.75P.

Now we add the increase to the original value of P to find today's value.

2.75P + P = 3.75P

Answer: C. 2.75P

Two sides of a triangle have lengths 9 and 15. What must be true about the length of the third side? less than 6 less than 15 less than 9 less than 24



D. 6<x<24.

Step-by-step explanation:

Let x be the length of third side of our triangle.

We have been given that two sides of a triangle have lengths 9 and 15.

To find the possible length for 3rd side of our triangle we will use triangle inequality theorem.

Triangle inequality theorem states that the sum of the lengths of any two sides of a triangle should be greater than the length of the third side.

Using triangle inequality theorem we will get:





Therefore, the third side of triangle must be greater than 6 and less than 24 and option D is the correct choice.

One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39​HELP ASAP


Hey there! :)


13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

39 / 3 = 13 packages.


Step-by-step explanation: