Answer:
I could be wrong, but I believe that the answer is D, none. This is because there is only proof of one congruent side and angle.
Step-by-step explanation:
15.75=5(1+i)^2
3.15=1+i^2
2.15=i^2
i= √2.15 or approximately 1.47
Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
In simplified form it is 5x+5
Exponential in form. y=AB^x
put data into calc should get
A = 1000 and B = 1.06
y=1000(1.06^x)
x=30 years, y=1000(1.06^30)=5743
A=1000 is the principal (initial deposit)
B=1.06 mean compound interest 6%
