Answer:
24 years
Step-by-step explanation:
Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)
6000 = 3000*(1+0.03/4)^(4x)
6000 = 3000* ((403/400)^4)^x
2 = ((403/400)^4)^x
x = log base-((403/400)^4) of 2 = x
x = 23.19
rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)
Solve for a
|6a + 3|
3
> 2
Answer:a> [tex]-\frac{7}{18}[/tex]
Step-by-step explanation:
(6a+3)3>2
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
[tex]6a+3 > \frac{2}{3}[/tex]
Subtract 3 from both sides.
[tex]6a > \frac{2}{3} -3[/tex]
Convert 3 to fraction [tex]\frac{9}{3}[/tex]
[tex]6a > \frac{2}{3} -\frac{9}{3}[/tex]
Since [tex]\frac{2}{3} \frac{9}{3}[/tex]have the same denominator, subtract them by subtracting their numerators.
[tex]6a > \frac{2-9}{3}[/tex]
Subtract 9 from 2 to get −7.
[tex]6a > -\frac{7}{3}[/tex]
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
[tex]a > \frac{-\frac{7}{3} }{6}[/tex]
Express [tex]a > -\frac{7}{3\frac{6}{1} }[/tex] and 6/1=6 as a single fraction.
[tex]a > \frac{-7}{3*6}[/tex]
Multiply 3 and 6 to get 18.
[tex]a > \frac{-7}{18}[/tex]
Fraction [tex]\frac{-7}{18}[/tex] can be rewritten as
[tex]-\frac{7}{18}[/tex]
by extracting the negative sign.
[tex]a > -\frac{7}{18}[/tex]
What is the equation of the line in slope-intercept form? y = _ x + _
Use the figure and follow the directions below.
Let X denote the number of cousins of a randomly selected student. Explain the difference between StartSet Upper X equals 2 EndSet and Upper P (Upper X equals 2 ).
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
B. (X =4) is the frequency that a student has four cousins, P(X-4) is the relative frequency that a student has for cousins.
C. (X =4) is the probability of the event that the student has four cousins, P-4) is the event that the student has four cousins.
D. (X =4) is the relative frequency that a student has four cousins; P(X 4) is the frequency that a student has four cousins.
Answer:
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
Step-by-step explanation:
An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.
An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.
In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.
The probability of X = 2 or 4 is given by P (X=2) or P (X=4) symbollically.
So A is the best choice.
The relative frequency gives the probability so choice B,C and D are wrong.
Please please help me!!
solve the system of equations by the substitution method.
{ 4x - 5y = 19
{ y = x - 4
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ (Simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
Answer:
A. The solution is (1, -3)
Step-by-step explanation:
4x - 5y = 19
y = x - 4
Since the second equation already has y isolated, you can just plug that into the first equation:
4x - 5(x - 4) = 19
4x - 5x + 20 = 19
-x = -1
x = 1
Take your x value from the previous equation answer and plug that into the second equation:
y = (1) - 4
y = -3
Final solution:
(1, -3)
If you really want to know if you're correct, just do a LS/RS check for both equations:
4(1) - 5(-3) = 19
19 = 19
LS = RS
-3 = 1 - 4
-3 = -3
LS = RS
Answer:
A : 1,-3
so you substitute y= x-4 into 5y to make the equation look like 4x-5(x-4)=19 then you do -5 times (x-4) which should get you -5x and 20 so now the equation looks like this 4x-5x + 20 =19 then you combine like terms like 4x-5x which should get you -1x after you do that you subtract 20 from both sides of the equation and that should also get you -1 After you do all of that you divide by 1 on both sides and them you get your x term which is x= 1 now you can plug that into this equation y=x-4 now that equation will be y=1-4 and that is y=-3 so your answer is 1,-3
IF YOU DONT WANT TO DO ALL OF THAT BY HAND YOU CAN ALWAYS PLUG THAT EQUATION INTO DESMOS GRAPHING CALCULATOR AND YOU JUST HAVE TO FIND THE POINT WHERE THE LINE INTERSECTS
Let [tex]\alpha[/tex] be positive real number.
Let f:[tex]\mathbb{R}\to\mathbb{R}[/tex] and g:[tex](\alpha,\infty)\to\mathbb {R}[/tex] be the function defined by
[tex] \rm f(x) = \sin \bigg( \dfrac{\pi x}{12} \bigg ) \: and \: g(x) = \dfrac{2 log_{e}( \sqrt{x} - \sqrt{ \alpha } ) }{ log_{e}( {e}^{ \sqrt{x} } - {e}^{ \sqrt{ \alpha } } ) } [/tex]
Then the value of [tex] \rm \lim_{x \to { \alpha }^ + } f(g(x)) \\ [/tex] is
First, [tex]f(x)[/tex] is continuous on its domain, so
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = f\left(\lim_{x\to\alpha^+} g(x)\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\ln\left(\sqrt x - \sqrt\alpha\right)}{\ln\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}\right)[/tex]
As [tex]x\to\alpha^+[/tex], [tex]\sqrt x-\sqrt\alpha\to0[/tex] and [tex]e^{\sqrt x}-e^{\sqrt\alpha}\to0[/tex], so overall we have an indeterminate form ∞/∞. Apply l'Hôpital's rule and simplify.
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\frac1{2\sqrt x\left(\sqrt x - \sqrt\alpha\right)}}{\frac{e^{\sqrt x}}{2\sqrt x\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(-\frac\pi6 \lim_{x\to\alpha^+} \frac{e^{-(\sqrt x-\sqrt\alpha)} - 1}{\sqrt x - \sqrt\alpha}\right)[/tex]
Substitute [tex]y=\sqrt x-\sqrt\alpha[/tex], so that [tex]x\to\alpha^+\implies y\to0^+[/tex].
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6 \lim_{y\to0^+} \frac{e^{-y} - 1}y\right)[/tex]
The remaining limit is the right-derivative of [tex]e^{-y}[/tex] at [tex]y=0[/tex], so
[tex]\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6\frac{de^{-y}}{dy}\bigg|_{y\to0^+}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6\right) = \boxed{\frac12}[/tex]
Jenna❤️Jenna❤️❤️L’s recipe calls for 1/2 cup of flour she only has 1/4 cup measure which equivalent fraction shows the amount of flowers she could use for the recipe
Answer:
1/2 divided by 1/4
Step-by-step explanation:
so 2
hope this helps :)
4(x-1)-2(3x+5) =-3+1
Answer:
x= -8
Step-by-step explanation:
4(x-1)-2(3x+5)=-3+1
4x-4-6x-10=2
-2x-14=2
-2x=16
x= -8
Solve the inequality. Choose the number line that represents the inequality.
n+5<7
Answer:
3
Step-by-step explanation:
3+5 =8>7
Answer:
N<2
Step-by-step explanation:
There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?
Answer: 4 busses if each bus only hold 45 passengers at most.
Step-by-step explanation:
120 students
23 teachers=143 people
143 divided by 3 busses is only 47 so 3
busses wouldn’t be enough
Petro was given this system of equations. Negative 14 x minus 2 y = 24. 14 x + 8 y = negative 12. Petro’s work is shown in the table. Where, if anywhere, did Petro first make a mistake? Steps Petro’s Work Step 1 Negative 14 x minus 2 y = 24. 14 x + 8 y = negative 12. 6 y = 12. Step 2 6 y = 12. y = 2. Step 3 Negative 14 (2) minus 2 y = 24. Negative 28 minus 2 y = 24. Negative 2 y = 52. y = negative 26.
step 1
step 2
step 3
no mistake
Answer:
C Step 3
Step-by-step explanation:
Answer:
C: Step 3 is where the mistake was made
Step-by-step explanation:
hi loves is this correct?
Solve for X.
X^2 - 2x + 1 = 0
X= 1?
Answer:
yes x=1
Step-by-step explanation:
x[tex]x^{2} -2x+1=0\\(x-1)^{2}=0 x-1=0 \\x=1[/tex]
During a 7-year period, the amounts (in millions of dollars) spent each year on buying new vehicles N and used vehicles U by United States residents are modeled by the equations
N=−0.028t3+0.06t2+0.1t+17
U=−0.38t2+1.5t+42
where t=1 represents the first year in the 7-year period.
a. Write a polynomial that represents the total amount spent each year on buying new and used vehicles in the 7-year period.
b. How much is spent on buying new and used vehicles in the fifth year?
$ ???
Using addition of polynomials, it is found that:
a) The total amount is: T(t) = -0.028t³ - 0.32t² + 1.6t + 59.
b) $55.5 million was spent on buying new and used vehicles in the fifth year.
How do we add polynomials?To add polynomials, we have to combine the like terms, that is, the terms that have t elevated to the same power.
For this problem, the functions are given as follows:
N(t) = -0.028t³ + 0.06t² + 0.1t + 17.U(t) = -0.38t² + 1.5t + 42.Hence the total amount is:
T(t) = N(t) + U(t)
T(t) = -0.028t³ + 0.06t² + 0.1t + 17 - 0.38t² + 1.5t + 42.
T(t) = -0.028t³ + (0.06 - 0.38)t² + (0.1 + 1.5)t + 17 + 42.
T(t) = -0.028t³ - 0.32t² + 1.6t + 59.
For the 5th year, the amount is given by:
T(5) = -0.028(5)³ - 0.32(5)² + 1.6(5) + 59 = 55.5.
$55.5 million was spent on buying new and used vehicles in the fifth year.
More can be learned about addition of polynomials at https://brainly.com/question/9438778
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3. 32-(5.23) I need answers quick
Answer:
[tex] \sf \large \: - 31[/tex]
Step-by-step explanation:
3²−5(2³)
=9−5(2³)
=9−(5)(8)
=9−40
=−31
Simplify 8 over negative 4 ÷ negative 3 over 9 . (5 points)
Answer:
6
Step-by-step explanation:
[tex]-\frac84 divided-\frac39\\-2 divided- \frac13\\-2 \cdot -3\\6[/tex]
Solve the system
4x+5x= -27
x+9y= 1
Answer:
x=-3, y = 4/9
Step-by-step explanation:
This is in equation form.
Jacob says that the product of a rational number and an irrational number is sometimes
rational and sometimes irrational. Which statement correctly describes whether Jacob is
correct or incorrect?
We need to know about rational and irrational numbers to solve the problem. Jacob is incorrect because the product of a rational and irrational number is always irrational.
Rational numbers are numbers that can be represented as p/q , p and q are integers where q is not equal to zero. Irrational numbers are real numbers that are not rational numbers, that cannot be represented as a division of two integers. When a rational and irrational number is multiplied, it always gives an irrational number. Let me use an example to explain this
2 is a rational number and [tex]\sqrt{2}[/tex] is an irrational number, the product of these two numbers is [tex]2\sqrt{2}[/tex] which is an irrational number.
Therefore we see that Jacob was wrong because the product of a rational and an irrational is always irrational.
Learn more about rational and irrational numbers here:
https://brainly.com/question/10944968
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Explain two attributes that a rectangle and a square have in common.
Answer:
All angles and opposite angle are equal;opposite sides are parallel.
Step-by-step explanation:
Answer:
they both have 4 sides and they both have paralell sides.
Step-by-step explanation:
Converse statement. If this month is February then the next month is march
Answer:
If the month is march then the next month is February
Step-by-step explanation:
A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the jeans? Group of answer choices
Answer:
The selling price = $36
Step-by-step explanation:
The Buying price or Cost (C) = $12Markup = 200%So
Percent Markup on Cost (M) = 200% of 12
= 200/100 × 12
= 2 × 12
= $24
Thus the selling price = Cost (C) + Markup (M)
= $12 + $24
= $36
Therefore, we conclude that:
The selling price = $36
A line passes through the point (8,-4) and has a slope of -3/4
Write an equation in slope intercept form for this line.
Answer: y=-3/4x+2
Step-by-step explanation:
y=mx+b
y=-3/4x+b
-4=-3/4(8) +b
-4=-6+b
b=2
y=-3/4x+b
y=-3/4x+2
Why is a scale factor of 2 the same as 200%?
Answer:
the action of deposing someone, especially a monarch.
Step-by-step explanation:
HELP the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another? NEED HELP ASAP
Answer:
Step-by-step explanation:
15 vowels plus 25 consonants is 40
so 15/40 then you take the one vowel out and there is 39 so then it is 14 over 39.
5. Jade has $59.87 in her checking account.
She buys his mom a birthday present for $25.98.
How much money is left in her account?
Answer: $33.89
Step-by-step explanation:
$59.87 - $25.98 = $33.89
Answer:
33.89
Step-by-step explanat33.89ion:
$59.87-$25.98
The mean June midday temperature in Desertville is 36C and the standard deviation is 3C.Assuming this data is normally distributed, how many days in June would you expect the middaytemperature to be between 39C and 42C
Answer:
4
Step-by-step explanation:
Given that:
Mean temperature (m) = 36°C
Standard deviation (s) = 3°C
Temperature between 39°C and 42°C
Temperature < 39°
Probability of temperature < 39
P(x < 39)
The standardized score (Z) :
Z = (x - m) / s
Z = (39 - 36) / 3 = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
Temperature < 42°
Probability of temperature < 42°
P(x < 42)
The standardized score (Z) :
Z = (x - m) / s
Z = (42 - 36) / 3 = 2
p(Z < 2) = 0.97725 ( Z probability calculator)
p(Z < 2) - p(Z < 1) = 0.97725 - 0.84134 = 0.13591
Hence, number of days in June = 30
Expected number of days = 30 * 0.13591 = 4.0773 = 4 (nearest whole number)
y is directly proportional to the square of x.
When y= 24, x= 2.
Find the value of y when x=4.
Answer:
y= 48
Step-by-step explanation:
X was doubled so i believe this is correct
Have a great day!!!
[2.1 + (8 - 4) - 1.25] = ?
Answer:
4.85
Step-by-step explanation:
Answer:
4.85
Step-by-step explanation:
[2.1 + 4 - 1.25]
= (6.1 - 1.25)
=4.85
Can someone help me out?
Answer:
16
Step-by-step explanation:
please mark me brainliest and 5 star
Answer:
16
Step-by-step explanation:
You add all the sides together hope it helps pls mark brainliest
7th grade math help me please :))
Answer:
no because the absolute value of -7 is 7 which is greater than the absolute value of 6 which is 6.
its due soon help ill give brainliest
The price of a pair of headphones at Store A is 3/4 the price at Store B.
The price at Store A is $89.25. Find how much you save by buying the headphones at Store A
a. 119
b. 72
c. 29.75
Answer:
alt answer to give ya brainliest nxsdsvfkbjnvbc
Step-by-step explanation:
cnrgnsdmx