5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
X is equal to 8
Y is equal to 19
Answer:
The probability as a decimal to the nearest hundredth is 0.550.55.
Step-by-step explanation:
61 cash, 5 debit card, and 45 credit card.
\color{steelblue}{61}+5+45=
61+5+45=
\,\,\color{indianred}{111}
111
There were a toal of 111 customers. 61 paid with cash.
Probability the next customer will pay with cash:
\frac{\color{steelblue}{61}}{\color{indianred}{111}}=
111
61
=
\,\,0.549549...
0.549549...
\approx
≈
\,\,0.55
0.55
Round to the nearest hundreth
We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k) is the center
and
r is the radius
in this problem
the center is the point (3,-2)
and the radius is r=3
so
(x-h)²+(y-k)²=r²-----> (x-3)²+(y+2)²=3²
therefore
the answer is
<span>b. (x - 3)</span>²<span> + (y + 2)</span>²<span> = 9 </span>
Answer:
The expression b/(a +b) does not exist when a = -b or b = -a
Step-by-step explanation:
The expression b/(a + b) does not exist if the denominator a + b = 0.
So, a = - b or b = -a.
So, the expression b/(a + b) does not exist when a = -b or b = -a.
When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.
When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.
So the expression b/(a +b) does not exist when a = -b or b = -a
