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stepladder [879]
3 years ago
14

If the diameter of the circle is 24 cm, find its area correct to 1 decimal place.

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

452.4 cm^2

Step-by-step explanation:

Use the area formula A = πr².  With d = 24 cm, r = 12 cm, and so the desired area is

A = π(144 cm^2) = 452.4 cm^2

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A bank manager wants to encourage new customers to open accounts with principals of at least $3,000. He decides to make a poster
ankoles [38]

Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

3000\times\frac{4.8}{100}=144

Divide 144 over 12 to find the monthly earnings:

\frac{144}{12}=12

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.

For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

\frac{120}{4.8\text{ \%}}=\frac{120}{(4.8/100)}=\frac{100}{4.8}\times120=2500

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.

7 0
1 year ago
-2 1/6 + -3 1/3 + -5 1/2
N76 [4]

Answer:

-2 1/6 + -3 1/3 + -5 1/2 = -11

Step-by-step explanation:

-2 + -3 + -5 = -10

-1/6 +- 1/3 + -1/2 = -1

-10+-1=-11

3 0
2 years ago
Max is scuba diving at elevation of -64.5 feet, when friend signals to come higher. Max makes 2 ascents, each an equal distance
KengaRu [80]

Answer: - 42.95 feet

Explanation:

Let each ascent be x. Thus,

2 equal ascents = 2x

From the information given,

initial position = - 64.5 feet

Final position after 2 ascents = - 21.4 feet

This means that

- 64.5 + 2x = - 21.4

2x = - 21.4 + 64.5

2x = 43.1

x = 43.1/2

x = 21.55

Thus, Max's elevation after the first ascent is

- 64.5 + 21.55

= - 42.95 feet

4 0
1 year ago
Find the value of the variable in the parallelogram.
patriot [66]
I kind a get the answer for this one but I’m not sure if that’s the correct one but I think your answer will be -6
7 0
2 years ago
Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9
Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

3 0
3 years ago
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