Answer:
87,000 ; 10.6%
Step-by-step explanation:
Given the function :
P(t)=87,000e^0.106t
P(t) is an exponential function ; comparing the given function to the general form of an exponential function :
y = Ae^rt
Where,
A = initial amount ; r = growth rate ; t = time
The Given function models t years after 2010, that is the 2010 population is the initial population of the city.
Comparing the general exponential equation with the function given:
A = 87,000 = population of city in 2010
The growth rate :
rt from the general equation compares to 0.106t in the given function.
rt = 0.106t
r = 0.106
Hence, the rate of change = 0.106 * 100% = 10.6%
I'd arbitrarily begin by writing the factors 10 and 16. These, in turn, factor to 2 and 5. That's all we need to do here to form the product 160, using 5 once and 2 several times:
160 = 5 * 2^5
It is 2.4 × 10^5. this is also known as scientific notation
Answer:
63/10,6.57,6.58,53/8 is the answers for the question
Step-by-step explanation:
please give me brainlest
<span>smallest side = x
</span><span>hypotenuse = 4x
</span><span>By the Pythagorean theorem:
</span><span>
(4x)</span>² - x² = (√735)²
16x² - x² = 735
15x² = 735
x² = 735/15
x² = 49
x = √49
x = 7 ← smallest side
hypotenuse = 4x = 4*7 = 28
