<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>
<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>
<span>Before you start, f(0) = 2<span>0 </span>= 1</span>
<span>After 1 hour f(1) = 21 = 2</span>
<span>In 2 hours f(2) = 22 = 4</span>
<span>In 3 hours f(3) = 23 = 8</span>
and so on.
<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>
<span> </span>
Answer:
3.2
Step-by-step explanation:
1) 200 candies
15% of my candies were strawberry candies. I had 30 strawberry candies. How many candies did i have?
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Let "x" be the number of candies.
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Equation:
0.15x = 30
x = 30/0.15
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Multiply numerator and denominator by 100 to get:
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x = 3000/15
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x = 200
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2) 146 STUDENTS
27%*T=54, So T=200.
So 200-54=146 Students passed the test.
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3) She got a 20% discount (or 80% discount). (Work shown for 80%).
First you have to find out how much Mandy paid. So from 15000 you will subtract 3000. 15000-3000=12000.
Next you need to set up your equation. . You then have to cross multiply. So 100 times 12000, 100*12000=1200000. And 15000 times x is 15000x. Finally you divide both sides by 15000. And 1200000 divided by 15000 is 80. X=80
Step-by-step explanation:
Answer:
9/4
Step-by-step explanation:
We follow bodmas
4/3 +( -1/6 + 13/12)
( lcm = 12)
( -2+ 13/12)
( 11/ 12)
4/3 + ( 11/12)
4/3 + 11/12
lcm = 12 also
and that will equal to
=16 + 11/ 12
= 27/ 12
divide by 3 to simplest form
= 9/4
Compound Interest
A = P(1 + r)^(n)
A = Amount, r = rate per year = 3.9% = 3.9/100 = 0.039, n = year = 3
A = P(1 + r)^(n)
A = 11000(1 + 0.039)^(3)
A = 11000(1.039)^(3) use calculator
A ≈ 12337.85
Compound Interest = A - P = 12337.85 - 11000 = 1337.85
So at the end of 3 years the Amount is ≈ £12 337.85 and the compound interest is ≈ £1 337.85
Hope this helps.
