99=3/8g+2+12g+2
-4 -2 -2
95=3/8g+12g
95=12(3/8)g
(Divide both sides by 12(3/8))
2.96875=x
Or 3
Answer:
Allen sold 50 cell phones while Kay sold 67 cell phones.
Step-by-step explanation:
Let the number of cell phones sold by Allen be x. This will imply that the number of cell phones sold by Kay is x + 17.
Furthermore, we are informed that together they sold a total of 117 cell phones. Therefore, we use the following equation to determine the number of cell phones sold by each;
x + x + 17 = 117
2x + 17 = 117
2x = 100
x = 50
Therefore, Allen sold 50 cell phones while Kay sold 67 cell phones.
Volume = 
150 = 
x 3.14 x 10 x 10 x h
150 x 3 = 314 x h
h = 450/314
h = 1.43 inches
To calculate amount accrued after a given period of time we use the compound interest formula: A= P(1+r/100)∧n where A i the amount, P is the principal amount, r is the rate of interest and n is the interest period.
In the first part; A= $ 675.54, r= 1.25% (compounded semi-annually) and n =22 ( 11 years ), hence, 675.54 = P( 1.0125)∧22
= 675.54= 1.314P
P= $ 514.109 , therefore the principal amount was $ 514 (to nearest dollar)
Part 2
principal amount (p)= $ 541, rate (r) = 1.2 % (compounded twice a year thus rate for one half will be 2.4/2) and the interest period (n)= 34 (17 years×2)
Amount= 541 (1.012)∧34
= 541 ×1.5
= $ 811.5
Therefore, the account balance after $ 811.5.
So a pentagon is constructed by five identical triangles, that's why you can find the area of one triangle and multiply it with 5:
A_pentagon=A_triangle*5
To find the area of a triangle you must use tangens.
You can watch this for more on that on youtube.
For the length of an arc or a portion of a circle you can find it using:
arc lenght = 2π*r(A/360), where A=angle.
So if you know radians, then 2π is a whole circle. And to calculate for the specific circle you have to use the radius. That's why you multiply with radius, which is the only difference between any two different circles. you then multiply with the part of the circle that you want to find the lenght for, which is A/360 (because there are 360° in a circle)
I hope that helped.
