Answer:
2(x + 1) = 10
2x + 2 = 10
2x +2 -2 = 10 - 2
2x = 10(Step 3)
2x/2 = 8/2
x = 4
Step-by-step explanation:
Given the equation:
2(x + 1) = 10
Open the bracket by multiplying 2 by (x + 1) - Distributive property
2x + 2 = 10;
Subtract 2 from both sides.
2x + 2 - 2 = 10 - 2( Subtraction property of equality)
2x = 8(Step 3 justified).
Divide both sides by 2
2x/2 = 8/2 - Division property of equality.
Therefore,
x = 4. (Solved)
Options :
a.) P=1.005Po
b.) P=1.02Po
c.) P=Po(0.02/4)
d.) P=Po(4.02/4)
e.) P=Po(1+ 0.02/4)
Answer:
a.) P=1.005Po
d.) e.) P=Po(1+ 0.02/4)
Step-by-step explanation:
From the compound interest formula:
P = P0(1 + r/n)^t
Rate = 2% = 2/100 = 0.02
n = Number of compounding times per period, quarterly ; n = (12 /3) months
P = P0(1 + 0.02/4)^1
P = p0(1 + 0.02/4)
Simplifying further :
P = P0(1 + 0.005)
P = p0(1.005)
Answer:
Step-by-step explanation:
The number of grains of wheat on the n(th) square is 2^(n-1), or 2 to
the power of n-1. This is because the first square has 2^0 = 1 grain,
the second has 2^1 = 2, and the n(th) square has twice as many as the
previous. Thus the total number of grains of wheat is
S = 1 + 2 + 4 + 8 + ... + 2^63.
Since this is a geometric sequence with common ratio 2, the sum is
2^64 - 1
S = -------- = 2^64 - 1 = 18446744073709551615.
2 - 1
