Answer:
The answer here is 3.
Step-by-step explanation:
Since 7 of the marbles are yellow and 13 of them are green, you would first add these numbers together to find the number of marbles that are not green. After doing this you will find that 20 of the marbles aren't green. Since there are 23 marbles, and 20 of them aren't green, you would subtract these two numbers to find that the number of green marbles is three.
Answer:
Term payback = 15 yr = $331527.6 20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.
Step-by-step explanation:
20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%= 394389.648
15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6
Answer:
Step-by-step explanation:
First off, I'm assuming that when you said "directrices" you mean the oblique asymptotes, since hyperbolas do not have directrices they have oblique asymptotes.
If we plot the asymptotes and the foci, we see that where the asymptotes cross is at the origin. This means that the center of the hyperbola is (0, 0), which is important to know.
After we plot the foci, we see that they are one the y-axis, which is a vertical axis, which means that the hyperbola opens up and down instead of sideways. Knowing those 2 characteristics, we can determine that the equation we are trying to fill in has the standard form

We know h and k from the center, now we need to find a and b. Those values can be found from the asymptotes. The asymptotes have the standard form
y = ±
Filling in our asymptotes as they were given to us:
y = ±
where a is 2 and b is 1. Now we can write the formula for the hyperbola!:
which of course simplifies to

6 zeros
You pretty much just multiply the 4 and the 8 and proceed by adding the quantity of zeros. So the product would be 32,000,000.
Answer:
C = 14pi
Step-by-step explanation:
C = pi d
The radius is 7 so the diameter is
d = 2r
d = 2*7
=14
C = pi *14
C = 14pi