It says that you need to divide 2 exponents with the same base, you keep the base and subtract the powers, its kind of like reducing fractions! :)
Take the square root of 64.
You get 8.
-sqrt(64) = -8
-8 is rational since it can be written as a fraction of integers.
Answer:
Hi!
Around 2208.97 dollars
Step-by-step explanation:
A=P(1+r/n)^nt This is the compound interest rate equation.
According to the problem, Principal is 2000 with annual rate of 2.5%, it was being compounded semiannually(twice a year).
Thus,
P=2000. r/n=2.5%/2 nt=2*4, 8
A=2000(1+0.0125)^8
A=2208.97
Step-by-step explanation:
an arithmetic sequence means that every new term is the old term plus a constant number.
in our case that constant is +50.
and our starting value a0 = 250
so, the first 4 terms are
$250, $300, $350, $400
for the function formula we know
a0 = $250
a1 = a0 + 50 = 250 + 50 = $300
a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350
a3 = a2 + 50 = a0 + 3×50 = $400
so, we see
an = a0 + n×50 = 250 + 50n
therefore,
f(n) = 250 + 50n
after 9 months saving we reached a9, meaning n=9.
f(9) = 250 + 50×9 = 250 + 450 = $700
The area of the triangle is 90 m²
Explanation:
Given that the base of the triangle is 15 m
The altitude of the triangle is 12 m
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,

where b is the base and h is the altitude
Thus, we have,
and 
Substituting the values in the above formula, we get,

Multiplying the terms, we get,

Dividing, we get,

Therefore, the area of the triangle is 90 m²