Answer:
59.98
Step-by-step explanation:
To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:
Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us
We can now solve for r algebraically, first by multiplying both sides by 12:
And then subtracting 1116.5 from both sides:
Answer:
879cm
Step-by-step explanation:
Radius is 35cm.
Diameter is 70cm.
Pie/Pi is 3.14 and so on.
Perimeter of circle:70×3.14=219.8
219.8×4=879.2
Round Off:879.2cm
Width = x
length = 3x + 4
x + x + 3x + 4 + 3x + 4 = 60
add
8x + 8 = 60
subtract
8x = 52
x = 6.5
width = 6.5
length = 23.5
Answer:
A) it wouldn't fit
Step-by-step explanation:
The cost of the bond was 90/100 times $5,000, that is, $4,500 total.
<span>The annual interest is 5% of $5,000, that is, $250. </span>
<span>The current yield is 5% divided by (90/100), that is 5.555%; round to 5.6% as instructed. </span>
<span>The yield that real bond buyers would be more interested in is the yield to maturity, but this cannot be calculated without knowing the term (number of years). If it's a short term bond that will pay you back $5,000 in just a few years, that would add several percent to the yield, but if it's a 15-year bond the growth of the $4,500 to $5,000 adds only a fraction of 1% to the yield.</span>
