Answer:
20/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 80 and 36 is 4
Divide both the numerator and denominator by the GCD
80 ÷ 4
36 ÷ 4
Reduced fraction: 20/9
The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"
Take the square root of each part of the ratio of 1:16 and we get 1:4
So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.
Therefore, the circumference has been multiplied by 4
1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:
2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:
3) Thus the rate Otto needs is
Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%
Answer:
8 because it is composite.
Step-by-step explanation:
Step-by-step explanation:
<h3> a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )</h3>
[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
<h3> b) 400 ÷ { 40 – (-2) -3 – ( -1)} </h3>
{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
<h3>c) 40 x -23 + 40 x -17 </h3>
(40 x 23) + (40 x -17)
920 + (-680)
= 240
<h3>d) 1673 x 99 – (-1673) </h3>
(1673 x 99) + 1673
1673 x 100
= 167300
<h3>e) 490 x 98 = 48020</h3>
Hope this helps ^-^
