If $75 is invested at an interest rate of 8% per year and is compounded monthly, how much money is in the account in 15 years?
Answers
The amount of money is $248.02.
Principal amount = P=75
Interest rate = r = 8% = 0.08
Number of years = t = 15
Number of times compounded in a year = n = 12
A = Amount after t years.
After 15 years there will be:
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Answer:
$248.03
Step-by-step explanation:
The formula you use for this is as follows:
where A(t) is the amount after the compounding is done, P is the initial amount invested, r is the interest rate in decimal form, n is the number of times the compounding is done per year, and t is the time in years. Using that information and filling in our equation gives us this:
which simplifies down to
which simplifies further to
which multiplies to $248.0338938. Round to the nearest cent to get your answer.
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Final answer:
The roots of the polynomial function f(x)=(x-3)*(x+6)² are 3 and -6.
Explanation:
The polynomial function f(x)=(x-3)*(x+6)² can be factorized as follows:
f(x) = (x-3)*(x+6)*(x+6)
This means that the expression (x-3) represents one of the linear factors of the polynomial, while (x+6) represents a quadratic factor. To find the roots of the polynomial, we set each factor equal to zero and solve for x:
(x-3) = 0 -> x = 3
(x+6) = 0 -> x = -6
Therefore, the roots of the polynomial function f(x)=(x-3)*(x+6)² are 3 and -6.
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Answers
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
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Final answer:
The equation that relates the total cost (C) to the number of gallons of gas (g) is C = 2.75g. This equation indicates that to find the total cost, you multiply the number of gallons by $2.75.
Explanation:
The question is asking for an equation that relates the total cost (C) to the number of gallons of gas purchased (g). Since the cost of gas is $2.75 per gallon, you multiply the number of gallons by $2.75 to find the total cost. Therefore, the equation that represents this relationship is C = 2.75g.
This equation states that the total cost (C) is equal to the cost per gallon ($2.75) multiplied by the number of gallons of gas (g). For instance, if you buy 10 gallons of gas, you would plug in 10 for g in the equation like this: C = 2.75 * 10, which will give you $27.50.
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19+(22 - 16) =
Answers
Answer:
the answer is 25.
Step-by-step explanation:
hope this helps
Answers
Answer:
"Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients."
Explanation:
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Final answer:
The Rational Root Theorem provides possible rational roots of a polynomial while Descartes' Rule of Signs indicates the number of positive and negative roots of a polynomial. They both serve as crucial tools in understanding and solving polynomial equations.
Explanation:
The Rational Root Theorem and Descartes' Rule of Signs are both mathematical tools that can provide valuable information about the zeros (or roots) of a polynomial. The Rational Root Theorem can help us determine the possible rational roots of a polynomial equation. It states that if a polynomial has a rational root p/q (where p and q are relatively prime), then p is a factor of the trailing constant and q is a factor of the leading coefficient.
On the other hand, Descartes' Rule of Signs gives us an indication of the number of positive and negative real roots in a polynomial. It does this by considering the number of sign changes in the coefficients of the terms of the polynomial when arranged in descending power.
For example, in the polynomial + 2x - 6, by applying Descartes' Rule of Signs, we can infer there are two or zero positive roots (since there are two sign changes) and one negative root (since there are no sign changes when the terms are arranged in ascending power).
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B. an arrangement in which you receive goods or services in exchange for other goods and services
C. an arrangement in which you receive money now and pay it back later with fees
Answers
Answer:
C
Step-by-step explanation:
Answers
Answer:
null hypothesis = µ1=µ2=µ3; µ1= popuation mean of inulin µ2 = population mean of fructicoligosaccharide =µ3=population mean of lactulose
alternative hypothesis =µ1≠µ2 ≠µ3
t1= µ-45/s1 / N-1
at the significance level 0.01
t at ᵅ/2 =0.005 and degree of freedom= 35-1=34 is 2.25
t1 = µ-32/s1/N-1
2.25= µ-45/s1/34
= s1/34= µ-45/2.25
=s1 =(µ-45/2.25)*34
t2= µ-32/s2/34
2.25 =µ-32/s2/34
s2/34= µ-32/2.25
s2=µ-32/2.25*34
T= 45-32/s1/sqrt34+s2/sqrt34
t at 0.005 and no of grees of freedom 68 =2.37
2.37=45-32/
or s1/sqrt34+s2/sqrt34 = 13/2.37
s1+s2 = 13/2.37 *5.83
s1+s2= 31.98 or 32
(µ1-45/2.25)*34+µ2-32/2.25*34=32
or µ1+µ2 = 2525
µ1=2525-µ2
µ1 and µ2 are not equal
thus null hypothesis is rejected
conclusion all the three components are not in equal amount in hydrogen production
Explanation : in this experiment we have to prove whether the means of insulin,fructicoligosaccharide and lactulose are equal. so even if we prove that two of them are not equal null hypothesis will be rejected. we use student-t test because we have to compare the means of two population.