You can use the properties of exponents in three ways: Products of Power and Power to Power
Explanation:
Product of a Power: When you multiply exponentials with the same base, you add their exponents
Power to a Power: When you have a power to a power, you multiply the exponents.
Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents.
Answer:
B. All real numbers
Step-by-step explanation:
2(x + 1) = 2x + 2
Distribute the 2 inside the parenthesis.
2x + 2 = 2x + 2
Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.
Example:
2(x + 1) = 2x + 2
2(5 + 1) = 2(5) + 2
2(6) = 10 + 2
12 = 12
2(x + 1) = 2x + 2
2(150 + 1) = 2(150) + 2
2(151) = 300 + 2
302 = 302
The expression is equal for any value put in x.
Answer:
12
Step-by-step explanation:
(25-16) / h = h / 16
9/h = h/16
=144 ( 9 x 16)
h₂ = 144
h= square root 144
h= 12
Answer: he should invest $16129 today.
Step-by-step explanation:
Let $P represent the initial amount that should be invested today. It means that principal,
P = $P
It would be compounded annually. This means that it would be compounded once in a year. So
n = 1
The rate at which the principal would be compounded is 7.6%. So
r = 7.6/100 = 0.076
The duration of the investment would be 6 years. So
t = 6
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 25000
Therefore
25000 = P(1+0.076/1)^1×6
25000 = P(1.076)^6
25000 = 1.55P
P = 25000/1.55
P = $16129
.55*X=231 .....X=231/.55.......X= 420
