Areashaded=areabigcircle-areasmallcircle
areacircle=pir^2
d/2=r
big diameter=20.4, so radius i 20.4/2=10.2cm
small is 10.8/2=5.4
so
big-small
pi10.2^2-pi5.4^2
pi(104.04-29.16)
pi(74.88)
using 3.14=pi
235.1232 cm^2
answer is B
Answer:
Step-by-step explanation:
Purchase price (A) : $12,500
Down Payment (B): $3,000
Loan Taken (C = A - B): $9500
D : Interest calculation for $9,500 for 3 years P(1 + rt)
= 9500(1 + (14.5/100) * 3)
= 9500(1 + 0.145 * 3)
= 9500 * 1.435
= $13632.5
E : Interest calculation for $9,500 for 2 years P(1 + rt)
= 9500(1 + (14.5/100) * 2)
= 9500(1 + 0.145 * 2)
= 9500 * 1.29
= $12,255
Difference between D - E
= $13632.5 - $12,255
= $1377.5
Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years
Answer:
![4^{7}](https://tex.z-dn.net/?f=4%5E%7B7%7D)
Step-by-step explanation:
To simplify the expression
, we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg:
.
![4^4 \times4^3=4^{4+3}](https://tex.z-dn.net/?f=4%5E4%20%5Ctimes4%5E3%3D4%5E%7B4%2B3%7D)
![=4^{7}](https://tex.z-dn.net/?f=%3D4%5E%7B7%7D)
Hope this helps :)
So firstly, let's solve the expressions when t = 3 and t = 7
First expression:
![6(3)+12\\ 18+12\\ 30](https://tex.z-dn.net/?f=%206%283%29%2B12%5C%5C%2018%2B12%5C%5C%2030%20)
![6(7)+12\\ 42+12\\ 54](https://tex.z-dn.net/?f=%206%287%29%2B12%5C%5C%2042%2B12%5C%5C%2054%20)
Second expression:
![6(3+2)\\ 6(5)\\ 30](https://tex.z-dn.net/?f=%206%283%2B2%29%5C%5C%206%285%29%5C%5C%2030%20)
![6(7+2)\\ 6(9)\\ 54](https://tex.z-dn.net/?f=%206%287%2B2%29%5C%5C%206%289%29%5C%5C%2054%20)
Also note that if we foil the second expression, it is the same as the first expression.
So all that apply are:
- The value of both expressions when t = 3 is 30
- The value of both expressions when t = 7 is 54
- The expressions are equivalent
Answer:
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