Taking x as the number to be found,
x=32a+30=58b+44 where a and b are the quotients you get on dividing x by 32 and 58.
Simplifying this equation you get 16a+15=29b+22
16a= (16+13)b+22-15 or 16a=16b+13b+7
16(a-b)=13b+7
Now I have to find a value for b where 13b+7 is divisible by 16. The least common multiple of these numbers can be found by
going through the multiplication tables of 13 and 16 and 13x13+7=176,
while 16x11 is also 176.
Now that the value of b is found to be 13, we can substitute it in our first equation, x=58b+44=58x13+44=798.
Now find the least common multiple of 58 and 32
LCM (n,m)=nm/GCD (n,m) where GCD is the greatest common divisor of n and m
LCM (58, 32)=58x32/2 as 2 is the GCD of 58 and 32
LCM (58, 32)= 1856/2= <em>928</em>
Add this LCM to the previous answer, ie, 798 to get the next answer in the series. 798+928=1726
Add the LCM again to the last answer to get the final answer, that is less than 3000=1726+928=2654
Since 12 inches is one foot, multiply 7 by 12.
7 × 12 = 84
<h2>Answer:</h2>
<u>7 feet = </u><u>C. 84 inches</u><u>.</u>
Question Continuation
A customer who owns shares in just one fund is to be selected at random.
a. What is the probability that the selected individual owns shares in the balanced fund?
b. What is the probability that the individual owns shares in a bond fund
Answer:
a. 0.08
b. 0.28
Step-by-step explanation:
Given
Money-market 22%
High-risk stock 17%
Short bond 11%
Moderate-risk stock 25%
Intermediate bond 12%
Balanced 8%
Long bond 5%
a. What is the probability that the selected individual owns shares in the balanced fund?
Let P(Balanced) = The probability that the selected individual owns shares in the balanced fund
P(Balanced) is given as 8% from the above table
So, P(Balanced) = 8/100
P(Balanced) = 0.08
b. What is the probability that the individual owns shares in a bond fund
Let P(Bond) = The probability that the individual owns shares in a bund fund
P(Bond) = P(Short Bond) + P(Intermediate Bond) + P(Long Bond)
P(Short Bond) = 11%
P(Intermediate Bond) = 12%
P(Long Bond) = 5%
So, P(Bond) = 11% + 12% + 5%
P(Bond) = 28%
P(Bond) = 0.28
Step-by-step explanation:
1. move the decimal to make the numbers whole
0.25 - move to the right 2 times - 25
0.044 - move to the right 3 times - 44
2. Multiply 25 * 44 = 1,100
3. Add decimal
you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.
<u>Answer - 0.01100 or 0.011</u>
Answer:
i think it might be 10 im sorry if im wrong
Step-by-step explanation:
The perimeter of a circle is π × d where d is the diameter so half of that is 1/2 π × d. But If you are going to walk around a semicircle you need to go half way around the circle and then across a diagonal to get back to where you started so the perimeter is 1/2 π × d + d.