Suppose the diameter of a circle is 6. What is its circumference

Answers

Answer 1

Answer: the formula for circumference is: C=pi(3.14)*d(diameter)

so multiply pi and 6 and you should get...

18.84

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Simplify 8 + 3{x - 2[x + 5(x + 3)]}. -33x + 82 33x - 82 -33x - 82

What is the answer to this proplem in the picture.

Answers

$Answer:y\leq3x-1$

$y\leq3x-1$

A CD makes 58 1/2 revolutions in 3/4 min.Complete the unit rate.

______revolutions/min

Answers

The most important thing in this problem is understanding and then dividing the given units properly. The first thing that is given is that the CD makes 58 1/2 revolutions in 3/4 minutes. We have to first simplify the number of revolutions made by the CD. This will make the problem in hand very easy.
Number of revolutions made by the CD = 58 1/2
   = 117/2
Then
The unit rate = (117/2)/(3/4)
   = (117 * 4)/(2 * 3)
   = (117 * 2)/3
   = 39 * 2
   78
So the unit rate is 78 revolutions per minute.

78 revolutions per minute58.5I divided it by 3 to get 19.5Then multiplied 19.5 by 4 to get the amount of rotations in a minute

Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.

Answers

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0 solve 3x+2=0

+ 1 +1 -2 -2

_______ _______

3x = 1 3x = -2

x =1/3 x= -2/3

check for to make sure both solutions work by plugging back into the equation

Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,000 into his savings account. He will withdraw $1,200 from his checking account each year. His savings account earns 8% interest each year. In how many years will both accounts have the same balance?

Answers

The correct answer is:
5.9 years.

Explanation:
Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.

The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time

using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.

This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).

Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).

Simplifying the right hand side, we have:
10000-1200x=2000+160x.

Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.

Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.

Divide both sides by 1360:
$(8000)/(1360) = (1360x)/(1360)$ ;
5.9=x.

Let x be the number of needed years.

1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.

2. He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have $\$2,000\cdot (1.08)^x.$