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3 years ago

PLEASE HELP BRAINLIEST

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

$h=15.23 \:\mathrm{in^2}$

Step-by-step explanation:

The surface area of this cylinder consist of two circles and a 3D outer edge with respect to the circumference. The area of a circle is given as $r^2\pi$ . Using $\pi=3.14$ as requested in the problem, the area of both these circles is:

$2\cdot6^2\cdot 3.14=226.08\:\mathrm{in^2}\\$ .

The 3D outer edge is then $800-226.08=573.92\:\mathrm{in^2}$ .

The area of this 3D outer edge is represented by $2r\pi\cdot h$ . Therefore, we set up the following equation:

$2r\pi\cdot h=573.92, \\h=\frac{573.92}{2r\pi}, \\h=\fbox{$15.23\:\mathrm{in^2}$}$ .

You might be interested in

Tanya [424]

Answer:

$2.50$

Step-by-step explanation:

Given

$(x_1,y_1) = (-1,0.8)$

$(x_2,y_2) = (0,2)$

$(x_3,y_3) = (1,5)$

$(x_4,y_4) = (2,12.5)$

Required

The rate of change (b)

The above graph is represented as:

$y = ab^x$

For: $(x_2,y_2) = (0,2)$ ;

We have:

$y = ab^x$

$2 = a * b^0$

$2 = a *1$

$2 = a$

$a = 2$

For $(x_3,y_3) = (1,5)$ ,

We have:

$y = ab^x$

$5 = a * b^1$

$5 = a * b$

Substitute $a = 2$

$5 = 2 * b$

Divide by 2

$2.5 = b$

$b = 2.5$

Hence, the rate of change is 2.50

7 0

3 years ago

8. Lauren wants to buy a shirt that costs $80. Her mother told her that she could only spend $35 for the shirt. The shirt finall

Artist 52 [7]

Answer:

No. Lauren cannot buy the shirt. It costs $48 after the discount.

Step-by-step explanation:

Shirt Cost: $80

Money: $35

Discount: 40%

First, find the amount of the discount by finding 40% of the price. 40% is equal to 0.40 (or 40 divided by 100).

40% of $80 = 0.40 x 80 = $32

Since it's a discount, the final price is the original price minus the discount.

$80 - $32 = $48

So, after a 40% discount, the price is still $48. Lauren only has $35, so it will still be too expensive!

4 0

3 years ago

Factor. 10x^5 − 16x^4 + 4x^2

Licemer1 [7]

We have to find the GCD between 10, 16 and 4 and between x^5, x^4 and x^2

GCD (10,16,4) = 2
GCD (x^5,x^4,x^2) = x^2

So we divide all terms for 2x^2

Final result: 2x^2(5x^3-8x^2+2)

4 0

3 years ago

1. $200 is deposited into an account that earns 6% simple interest

katen-ka-za [31]

Answer:

$260

Step-by-step explanation:

0.06 x 200 = 12

12 x 5 = 60

200 + 60 = 260

3 0

3 years ago

Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will

Natali [406]

9514 1404 393

Answer:

14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

A = P·e^(rt) . . . . . continuous compounding at rate r for t years

A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

t×ln(1.00000671149321522) = ln(1.1)

t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

Additional comment

The investment value at that time will be about $5.269·10^434. (That's a larger number than anything countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0

2 years ago