Answer: 13.29%
Step-by-step explanation:
The formula to calculate the compound amount (compounded continuously) is given by :-
, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.
Given : P= $ 35,000 , A= $257,000 and t=15 years
To find : r , we substitute all the values in the above formula , we get
Taking natural log on both the sides , we get
Hence, the annual interest rate = 13.29%
The answer is A that’s the answer
Answer:
4
Step-by-step explanation:
x^2/ y^4
Let x=8 and y=2
8^2 / 2^4
PEMDAS says powers first
64 / 16
Divide next
4
It is -11.34
-$68.04 divide by 6 is -$11.34, so instead of 11.34, it's -11.34
Let the total toys be x.
The first has (1/10)x = x/10
The third child has one more toys than the first = x/10 + 1
The fourth has double of the third: = 2* (x/10 + 1) = 2x/10 + 2
Since we know that the second child has 12 more toys than the first
Therefore the Second minus First = 12.
First let us find the second.
1st + 2nd + 3rd + 4th = x
x/10 + 2nd + (x/10 + 1) + (2x/10 + 2) = x
2nd + x/10 + x/10 + 1 + 2x/10 + 2 = x
2nd + x/10 + x/10 + 2x/10 + 1 + 2 = x
2nd + 4x/10 + 3 = x
2nd = x - 4x/10 - 3
2nd = 6x/10 - 3
But recall
2nd - 1st = 12
6x/10 - 3 - x/10 = 12
6x/10 - x/10 = 12 + 3
5x/10 = 15
5x = 15 * 10
x = 15*10 /5
x = 30
So there were 30 toys in all.
