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2 years ago

Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π

Mathematics

1 answer:

Kisachek [45]2 years ago

7 0

Answer:

33.51 cubic inches

Step-by-step explanation:

Formula for volume of a sphere is V= 4 /3 · π · r3

We know the diameter is 4, and the radius is half the diameter, so the radius is 2.

V = 4 /3 · π · $2^{3}$

≈ 33. 51032

Rounded to the nearest hundreth is 33.51.

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A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty

Diano4ka-milaya [45]

The absolute value equation representing the length of the nail is :

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

actual length - allowable variation

$1 - \frac{1}{32} = \frac{31}{32}$

The maximum allowable length :

Actual length + allowable variation

$1 + \frac{1}{32} = 1 \frac{1}{32}$

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

$\frac{31}{32} \leqslant x \leqslant 1 \frac{1}{32}$

A nail of length 1.05 inches

Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

Learn more : brainly.com/question/24656203

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2 years ago

What is the ratio of two soccer balls to six footballs

kkurt [141]

The ratio would be 2:6 or 1:3 in its simplest form.

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2 years ago

What is 4/5 divided by 2/3 simplest form

olga nikolaevna [1]

The answer is 6/5 as an improper fraction, or 1 1/5 as a mixed number.

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2 years ago

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Can someone please help me and ill give you brainliest

Anna11 [10]

Answer:

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3 years ago

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Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the

VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

$R=\frac{Pi}{1-(1+i)^{-n}}$ , where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

$n=3\times 12=36$

$1.25\%=\frac{1.25}{100}=0.0125$

$30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}$

$30=\frac{0.0125P}{1-(1.0125)^{-36}}$

$30=\frac{0.0125P}{1-0.6394091578134724264}$

$30=\frac{0.0125P}{0.3605908421865275736}$

$10.817725265595827208=0.0125P$

$0.0125P=10.817725265595827208$

$P=\frac{10.817725265595827208}{0.0125}$

$P=865.41802124766617664$

$P\approx 865.42$

We know that total cost of TV would be equal to down payment plus amount of loan that is:

$865.42+600=1465.42$

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

$\$30\times 36=\$1080$

To find the total amount of interest paid, we will subtract amount of loan from total payment.

$\$1080-\$865.42=\$214.58$

Therefore, the total amount paid in interest would be $214.58.

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3 years ago