Amount to be paid back = $ 88,624.36
<u>Step-by-step explanation:</u>
Principal amount = $ 40,000
Rate of interest = 7.5%
Number of years = 11

Plugin the values as,




Small, because 1 divided by 8 = 0.125, and 3 divided by 4 = .75 Hope this helps!
Answer:
A) 68.33%
B) (234, 298)
Step-by-step explanation:
We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:
A. P (250 x < 282)
P ((x1 - m) / sd < x < (x2 - m) / sd)
P ((250 - 266) / 16 < x < (282 - 266) / 16)
P (- 1 < z < 1)
P (z < 1) - P (-1 < z)
If we look in the normal distribution table we have to:
P (-1 < z) = 0.1587
P (z < 1) = 0.8413
replacing
0.8413 - 0.1587 = 0.6833
The percentage of pregnancies last between 250 and 282 days is 68.33%
B. We apply the experimental formula of 68-95-99.7
For middle 95% it is:
(m - 2 * sd, m + 2 * sd)
Thus,
m - 2 * sd <x <m + 2 * sd
we replace
266 - 2 * 16 <x <266 + 2 * 16
234 <x <298
That is, the interval would be (234, 298)
Answer:
See below.
Step-by-step explanation:
6.) (5)/6 ≤ 1 (Yes)
7.) 1.4(11) > 16
15.4 > 16 (No)
8.) 11.1 + 9.8 ≥ 21.01
20.9 ≥ 21.01 (No)
9.) 2.5 < (90)/30
2.5 < 3 (Yes)
10.) 1/2 > 3(1/6)
1/2 > 1/2 (No)
11.) 2.16 ≥ 3(0.6) - 0.5
2.16 ≥ 1.8 - 0.5
2.16 ≥ 1.3 (Yes)
12.) x < 2 (x is less than 2.)
13.) x ≥ -1 (x is greater than or equal to -1.)
Minus 12x both sides
0=5x^2-12x+9
use quadratic formula
for 0=ax^2+bx+c
x=
given
5x^2-12x+9
a=5
b=-12
c=9
remember: i=√-1