Please help! Question below

Do not multiply by pi. Just use the whole number and do not try to include pi in the

IrinaK [193]

Answer:

Surface area = 1808.64in² and volume is 7234.56in³

Step-by-step explanation:

The figure above is a sphere, and it has a diameter of 24in

Radius = ?

Radius = diameter / 2

R = 24 / 2

R = 12in

Surface area of of sphere = 4πr²

Volume of a sphere = 4/3 πr³

π = 3.14

1. Surface area = 4 * 3.14 * 12²

Surface area = 4 * 3.14 * 144

Surface area = 1808.64in²

2. Volume of the sphere = 4/3πr³

Volume = 4/3 * 3.14 * 12³

Volume = 4/3 * 3.14 * 1728

Volume = 7234.56in³

The surface area of the sphere is 1808.64in² and the volume is 7234

56in³

4 0

3 years ago

Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He want

Maru [420]

Answer:

30 dollars

Step-by-step explanation:

Sice he has to make a profit of 300 dollars if you divide 100 by to you get 30.If Sanju sells the artwork at 30 dollars he will make 300 dollars

3 0

3 years ago

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Where is the major arc located in a central angle

gayaneshka [121]

Answer:

Step-by-step explanation:.

5 0

3 years ago

At the beginning of each of her four years in college, Miranda took out a new Stafford loan. Each loan had a principal of $5,500

kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

$P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}$

i.e. $PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}$

Substituting the values, we get,

i.e. $PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}$

i.e. $22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-0.4735]}{0.00625}$

i.e. $22000=\frac{P\times 0.5265}{0.00625}$

i.e. $P=\frac{22000\times 0.00625}{0.5265}$

i.e. $P=\frac{137.5}{0.5265}$

i.e. $P=261.16$

Thus, the total lifetime cost to pay of the loans compounded annually = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

7 0

3 years ago

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Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of

Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

$sum = \frac{n}{2} \{ a + a _{n} \}$

here,

n is the number of terms
a is the first number of the series
an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

$S = \frac{25}{2}\{ 1 +25\}$

$= \frac{25 \times 26}{2}$

$= 25 \times 13$

$= 325$

So, the value of S comes out to be 325.

8 0

3 years ago

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