Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
a. because to divide 6 1/4 and 3 you need to make the improper fraction a mixed number so the equation is 25/4 / 3/1 then you get the recipricol of 3 witch is 1/3 then you multiply 1/3 x 25/4 whitch is 25/12=2 1/12
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be
.
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.


Amount of interest earned from lower-yielding account:
.
Amount of interest earned from higher-yielding account:
.

Let us solve for x.



Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be
.
Therefore, the man invested $60,000 at 6%.
Answer:
x=7; NL=12; NP+20
Step-by-step explanation:
Answer:
(n-5)^2 - (6n-35)=(n-10)(n-6)
-----------
- n²-10n+25-6n+35 =
- n²-16+60 = n²- 10n - 6n + 60 =
- n(n-10) - 6(n-10) =
- (n-10)(n-6)