Answer:
<h2>D. Solve 3e^0.04x= 4.</h2>
Step-by-step explanation:
Given the population increasing according to the exponential function defined by y = 3e^0.04x, where y is in millions and x is the number of years, to determine when the population will reach 4 million, the following steps must be carried out.
Since y is in millions, we will first substitute y = 4 into the modeled equation as shown;
4 = 3e^0.04x
<em>Therefore to calculate x, we need to solve the expression 3e^0.04x = 4 for the value of x and this is arrived at by simply substituting y = 4 into the given equation.</em>
To get x;
<em>3e^0.04x = 4 </em>
<em>e^0.04x = 4/3</em>
<em>taking the ln of both sides</em>
<em>lne^0.04x = ln1.333</em>
<em>0.04x = 0.287</em>
<em>x = 0.287/0.04</em>
<em>x≈ 3.59 years</em>
The answer is: [B]: " -10a + 6b² − 4b + 3 " .
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Explanation:
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Given:
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-2(5a − 3b²) − 4b + 3 ;
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"Use the distributive property [of multiplication] to expand the expression."
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Note the distributive property of multiplication:
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a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
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So, we have: " -2(5a − 3b²) − 4b + 3 " ;
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Start with: " -2(5a − 3b²) " ;
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-2(5a − 3b²) = (-2*5a) − (-2*3b²) = (-10a) − (-6b²)
= -10a + 6b²
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→ Now, bring down the rest of the problem;
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-10a + 6b² − 4b + 3 ; which is: Answer choice: [B].
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Answer:
Kyle invested $15,000 in a savings account.
The interest rate is 5% per year.
After 10 years for monthly compounding, the amount of money Kyle has:
A = principal x (1 + rate/12)^(year x 12)
A = 15000 x (1 + (5/100)/12)^(10 x 12)
= 15000 x 1.004167^120
= 24705.1425$
Hope this helps!
:)
Answer:
C. 3.8
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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