Answer:
-13
Step-by-step explanation:
−2+3(1−4)−2
=−2+(3)(−3)−2
=−2+−9−2
=−11−2
=−13
Oof... you will need 46,656 to get all 6 prizes .... Throw a die.
Each number on the die depicts one of the 6 prizes.
The number of times you throw describes the number of boxes.
PART A
alligators:
x = total number of alligators
n = number of years
x=20*1.25^n
crocodiles:
y = total number of crocodiles
n = number of years
y=25+10n
PART B
alligators
x=20*1.25^4 = 48.82 round up to 49
crocodiles 25 +10(2) = 25+20 = 45
Part C
7 years
20(1.25^n)=25+10n
1.25^n=1.25+0.5n
n=7
check:
alligators 20+1.25^7 = 95.36
crocodiles = 25+10(7) = 95
Given info:
Compound Interest = Rs.1290
Rate of Interest = 15% p.a
Time = 2 years
<h3>Formula we have to know:-</h3>

<u>Where</u>
C.I = Compound Interest
P = Principle
R = Rate of Interest
N = Time

Here
C.I = Rs.1290
R = 15%
N = 2 years
Principle = ?
Now,Calculating the sum (Principle) borrowed by Rachna
![\quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%20%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7BC.I%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%281%20%20%2B%20%5Cdfrac%7BR%7D%7B100%7D%20%5Cbigg%29%5E%7Bn%7D%20%20-%201%20%5CBigg%5D%7D%7D%7D)
Substituting the given values
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%281%20%20%2B%20%5Cdfrac%7B15%7D%7B100%7D%20%5Cbigg%29%5E%7B2%7D%20%20-%201%20%5CBigg%5D%7D%7D%7D)
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%28%5Cdfrac%7B%281%20%5Ctimes%20100%29%20%2B%2015%7D%7B100%7D%20%5Cbigg%29%5E%7B2%7D%20%20-%201%20%5CBigg%5D%7D%7D%7D)
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%28%5Cdfrac%7B115%7D%7B100%7D%20%5Cbigg%29%5E%7B2%7D%20%20-%201%20%5CBigg%5D%7D%7D%7D)
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%28%5Cdfrac%7B115%7D%7B100%7D%20%5Ctimes%20%5Cdfrac%7B115%7D%7B100%7D%20%20%5Cbigg%29%20%20-%201%20%5CBigg%5D%7D%7D%7D)
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%28%5Cdfrac%7B13225%7D%7B10000%7D%20%5Cbigg%29%20-%201%20%5CBigg%5D%7D%7D%7D)
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%28%20%5Ccancel%7B%5Cdfrac%7B13225%7D%7B10000%7D%7D%20%5Cbigg%29%20-%201%20%5CBigg%5D%7D%7D%7D)
![\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}](https://tex.z-dn.net/?f=%5Cquad%7B%3A%20%5Cimplies%7B%5Csf%7B1290%20%3D%20%20%5CBigg%5BP%20%20%5Cbigg%28%7B1.3225%20-%201%7D%20%5Cbigg%29%20%5CBigg%5D%7D%7D%7D)








<u>Hence,</u>
The sum (Principle) is Rs.4000.