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Bond [772]
3 years ago
5

Pls help i will mark you as brainliest if u get it right

Mathematics
2 answers:
PIT_PIT [208]3 years ago
5 0

Answer:

9 in³

Step-by-step explanation:

The volume (V) of the pyramid is calculated as

V = \frac{1}{3} Ah ( A is the area of the base and h the perpendicular height )

A = 3 × 3 = 9 in² ← area of base and h = 3, thus

V = \frac{1}{3} × 9 × 3 = 3 × 3 = 9 in³

Lemur [1.5K]3 years ago
3 0

Answer:

27 cubic in

Step-by-step explanation:

area of base (3x3) x height of the pyramid (3)

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What is the coefficient of x7 in the expansion of (1 + x)11?
eduard
You can choose to expand the equation to find the coefficient of x7 but that would take a lot of time. Here is a useful tactic that can help; 

11C(something)(1)(x)⁷ ----> This gives the coefficient of x⁷
11C7(1)⁴(x)⁷ ----> You know that pascal's triangle is equal on both sides 
11C7×1⁴ = coefficient of x⁷ (just ignore x⁷)
330x1⁴=330 

This means that the coefficient of x⁷ is 330. You can double check by expanding the equation. If you do not understand what I did there, you can ask me how I got to the solution. 

Hope I helped :) 
4 0
3 years ago
What is the answers to y=2x for x?
san4es73 [151]

The answer would be 2 times whatever the value of x would be

6 0
3 years ago
Which best describes a rectangle with diagonals that are perpendicular?
solong [7]

Answer:

Rhombus

Step-by-step explanation:

If a parallelogram has diagonals that are perpendicular, it is a rhombus. A square is a parallelogram with four congruent sides and four right angles. This definition can also be stated as: A square is a quadrilateral that is also a rectangle and a rhombus.

8 0
2 years ago
Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu
kakasveta [241]

Step-by-step explanation:

  • Natalie has $5000
  • She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

  • continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}

or

P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}

Here,

i = interest rate

= number of compounding periods

t = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, n, becomes infinitely large.

Therefore, the formula as we discussed above would become:

                                        P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

Part c) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₂ =\:6107.02 $

So, Natalie will have \:6107.02 $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₁₀ =13.597.50 $

So, Natalie will have 13.597.50 $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0
3 years ago
Which two expressions is equivalent to 8(5+x)
Natali [406]

Answer: 8(x+5) 8x + 40

40 + 8x

Step-by-step explanation:

Distribute the 8 by multiplying by each value inside the parentheses.

Commutative property in addition and multiplication allows the terms to be in reversed order.

4 0
3 years ago
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