Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
Learn more about Interest here:
https://brainly.com/question/22739288
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Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80, 320, 1, 280,...
Which recursive function describes the number of bacteria observed at the nth hour?
Answer: f(1) =5
f(n+1)=4f(n)
Step-by-step explanation:
find the value of the expression below x=2 3x
Make a graph that matches the rule y=2x – 3.
(Need help ASAP)
Answer:
Answer in image below :)
Step-by-step explanation:
jackson has $19 savings account the interest rate is 15% per year and is not compounded how much will he have in 3 years? use formula i=p*r*t, where i is the interest earned, p is the starting amount, r is the interest rate expressed as a decimal, and t is the times in years.
Answer:
I = 19 X 0.15 X 3= 8.55
I = $8.55
Find the value of x
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.
Therefore we have x + 72° = 90° + 34°.
=> x + 72° = 124°, x = 52°.
Hence the value of x is 52°.
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.
Answer:
about $26.00
Step-by-step explanation:
$25/100 = 0.25 for 1%
1% times 4.1 = 1.025 in sales tax
plus 25 equals 26.025
round to the nearest cent = $26.00
Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
2. 4x + 5y = -30
Slope-standard form
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
I need help ASAP. I am terrible at math
Answer:
1.y=2/3x +9
2.y=-7x+(-3)
Step-by-step explanation:
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
food delilah has 4 1/2 pies to divide equally among 9 people. how much would each person get
Answer:
4.5/9 = 0.5
half a pie each
how to do area for this problem
the answer is 568 in in degrees tysm
A triangle has a perimeter represented by the expression 9x + 7
A square has a side length represented by 4x – 3.
Which expression represents the total perimeter of the two figures?
A) 20x
B) 4x2 + 9x – 5
C) 13x + 4
D) 25x – 5
Answer:
D. 25x-5
Step-by-step explanation:
you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.
What is the value of cos if the terminal side is the line 3x - 4y = 0, x < 0
4/5
3/5
-4/5
-3/5
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
Tell whether the ordered pair is a solution of the given system:
(0,0) ; {y<-x+3
{y
Answer:
yes the ordered pair is a solution
Step-by-step explanation:
(x, y) = (0,0)
y < -x + 3
0 < - (0) + 3
0 < 3
true, ordered pair is a solution
Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Does this table represent a proportional relationship?
A) Yes
B) No
Answer:
a
Step-by-step explanation:
it is all doubles
Please help!! 20 points!!! I don’t know if is d....
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
If it takes eight men ten hours to build a wall, how long would it take four men?
Answer:
20 bc if 8 men took 10 hours then 4 men would take double the time
Answer:
ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (-1, 5)Slope m = -7substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2IF YOU DO ALL THREE AND U ANSWER THEM CORRECTLY ILL GIVE YOU 50+ POINTS
❤️
Answer:
30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens
Answer:
1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)
2. If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)
3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)