All categories

3 years ago

Find the volume of this. Show work.

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

Answer: 471.24 (with 3.14 as pi)

Step-by-step explanation:

Volume of cylinder = pi*r^2*height

Radius = 10/2 = 5

Pi*25^2*6 = 471.24

You might be interested in

for the question. 19. Solve this equation: 80 = 3y + 2y + 4 + 1. A. y = 15 B. y = 75 C. y = –15 D. y = 1/5

Scorpion4ik [409]

80 = 3y+ 2y+4+1
Simplfy like terms:
80 = 5y + 5
-5 -5
75 = 5y
5 5
y = 15
The answer is A. hope this helps

3 0

3 years ago

Read 2 more answers

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:

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

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

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

Solving inequalities <br><br><br> 3n + 8 < 5

Bezzdna [24]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable. Inequality Form:

5 0

2 years ago

Read 2 more answers

The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end (in feet)?

luda_lava [24]

The answer is 3.16 ft

The surface area (SA) of the rectangular prism is:
SA = 2lw + 2ld + 2wd

However, the pool is without the top side, so the area of the top side should be excluded from the surface area of the pool. The surface area of the rectangular pool is:
SA = lw + 2ld + 2wd

We know:
SA = 210 ft²
l = 9 ft
w = 10 ft
d = ?

210 = 9 * 10 + 2 * 9 * d + 2 * 10 * d
210 = 90 + 18d + 20d
210 - 90 = 38d
120 = 38d
d = 120/38
d = 3.16 ft

8 0

2 years ago

What is the GCF of 48 and 36

slega [8]

Answer:

12 is the gcf of 48 and 36

Step-by-step explanation:

Hope this helps :)

3 0

2 years ago