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3 years ago

Solve the system of equations below

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

4 0

I think it’s c but i’m not 100% sure

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The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area

Firlakuza [10]

Answer:

The correct answer is A. 600 square centimetres

Step-by-step explanation:

Let's recall that the formula of the surface area of a cube is:

A = 6s², where s is the side length of the cube.

Replacing with the value we know, we have:

A = 6 * 10²

A = 6 * 100

A = 600 square centimetres

The correct answer is A. 600 square centimetres

7 0

3 years ago

A woman invests $5800 in an account that pays 6% interest per year, compounded continuously.

mel-nik [20]

Answer:

Part a) $\$6,539.48$

Part b) $5.36\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

Part a) What is the amount after 2 years?

we have

$t=2\ years\\ P=\$5,800\\ r=0.06$

substitute in the formula above

$A=\$5,800(e)^{0.06*2}=\$6,539.48$

Part b) How long will it take for the amount to be $8000?

we have

$t=?\ years\\ P=\$5,800\\ r=0.06\\A=\$8,000$

substitute in the formula above and solve for t

$\$8,000=\$5,800(e)^{0.06t}$

$(8,000/5,800)=(e)^{0.06t}$

Applying ln both sides

Remember that

ln(e)=1

$ln(8,000/5,800)=0.06t$

$t=ln(8,000/5,800)/0.06=5.36\ years$

5 0

3 years ago

K/5.6+ 41.5 = 10.8 The solution is k=

Contact [7]

Answer: The solution is k = -171.92.

4 0

3 years ago

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Electrician cuts 136 ft. of cable. One piece is 16 ft. less than three times the length of the other piece. Find the length of e

Inessa05 [86]

One piece is 38 feet.

THe other is 98 feet.

8 0

3 years ago

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OAB is a sector of a circle what is the area of the sector

oee [108]

Answer:

12.56 square cm

Step-by-step explanation:

$Central \:angle \:(\theta) = 40°\\Radius \: (r) = 6 cm$

Let A be the area of the sector of circle.

$\therefore \: A = \frac{\theta }{360 \degree} \times \pi {r}^{2} \\ \\= \frac{ 40 \degree}{360 \degree} \times 3.14\times {6}^{2} \\ \\ = \frac{ 1}{9} \times 3.14 \times 36 \\ \\ = 3.14 \times 4 \\ \\ = 12.56 \: {cm}^{2}$

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3 years ago

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