Step-by-step explanation:
A(t) = amount in t years
P = Principal (original investment)
r = annual interest rate (in decimal form)
n = number of times that interest is compounded each year
A(t) = P(1 + r/n)nt
Substitute in the given values: 2000 = P(1 + 0.04/12)12(10)
2000 = P(1.490832682)
P = $1341.53
x + 2/3 = −4
A x = −3 1/3x = −313
B x = −4 2/3x = −423
C x = 3 1/3x = 313
D x = 4 2/3
Answer:
b.
Step-by-step explanation:
x + 2/3 = -4 [multiply the entire equation by 3 to get rid of denominator]
3x + 2 = -12 [subtract 2 from both sides of equation]
3x = -14 [divide by 3 to isolate x]
x = -14/3 or -4 2/3
What are the zeros of f(x) = (x - 5)(x - 4)(x - 2)?
O5, -4,2
O 5, -4,-2
O 5, 4,2
O 5, 4, -2
Answer:
The zeros of f(x) are:
[tex]x=5,\:x=4,\:x=2[/tex]
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]
substituting f(x) = 0 to determine zeros of f(x)
[tex]0\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-5=0\quad \mathrm{or}\quad \:x-4=0\quad \mathrm{or}\quad \:x-2=0[/tex]
solving x-5=0
[tex]x-5=0[/tex]
adding 5 to both sides
[tex]x-5+5 = 0+5[/tex]
[tex]x = 5[/tex]
solving x-4=0
[tex]x-4=0[/tex]
adding 4 to both sides
[tex]x-4+4 = 0+4[/tex]
[tex]x = 4[/tex]
solving x-2=0
[tex]x-2=0[/tex]
adding 2 to both sides
[tex]x-2+2 = 0+2[/tex]
[tex]x = 2[/tex]
Therefore, the zeros of f(x) are:
[tex]x=5,\:x=4,\:x=2[/tex]
please please fill in the blank ... and write division sentence i will mark you brainliest
the quantity is a rate in formula d=rt.
Answer:
hi
Step-by-step explanation:
Distance Formula D RT
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour
Determine whether PQ and UV are parallel,
perpendicular, or neither.
1.P(-3,-2), Q(9,1), U(3,6), V(5,-2)
2.P(-10,7), Q(2,1), U(4,0), V(6,1)
3.P(1,1), Q(9,8), U(-6,1), V(2,8)
4.P(-4,0), Q(0,3), U(-4,-3), V(8,6)
5.P(-9,2), Q(0,1), U(-1,8), V(-2,-1)
Answer:
The answer is below
Step-by-step explanation:
The slope of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.
1)
[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]
Since the product of their slope is -1, they are perpendicular
2)
[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]
Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular
3)
[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]
Since the slopes are the same, they are parallel
4)
[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]
Since the slopes are the same, they are parallel
5)
[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]
Since the product of their slope is -1, they are perpendicular
Answer:
9
Step-by-step explanation:
Help plssssssssssssssssss
Answer:
It would be C.
Step-by-step explanation:
This is because they allow it to be 50 dollars and less, making it C.
ILL GIVE U A BRAINLIST
PLEASE I NEED HELP WITH THIS MATH HOMEWORK
I NEED EXPLANATION TOO!
Question: find the value of the varible
Answer:
2x+x+90=180 <-----Sum of angles in a triangle
3x+90=180<-------- Solve
3x=90
x=30
Step-by-step explanation:
A radio rs 3200 without VAT and rs 3600 including VAT. find the VAT amount and the VAT percentage.
Answer:
amount: rs 400
percentage: 12.5%
Step-by-step explanation:
Before VAT: rs 3200
After VAT: rs 3600
VAT = 3600 - 3200 = 400
VAT = rs 400
percent = part/whole * 100%
percent = 400/3200 * 100%
percent = 12.5%
· The list price of an article is 25% above the selling price and the cost
price is 40% below the list price. Find the rate of discount and profit?
Answer:
p=25%
discount=25%
Step-by-step explanation:
Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x
Cost Price = .75x
S P = C+P
Profit = Selling price - Cost price
= x - 0.75x
=0.25x
the Profit is 25 %
Discount is 25 %
You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the first year? How much at the end of one year?
Answer:
Please check the explanation.
Step-by-step explanation:
a) How much will you have at the middle of the first year?
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 0.5 years
Total amount = A = ?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}[/tex]
[tex]A=300\cdot \frac{2.06}{2}[/tex]
[tex]A=\frac{618}{2}[/tex]
[tex]A=309[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
Part b) How much at the end of one year?
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 1 years
Total amount = A = ?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
so substituting the values
[tex]A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}[/tex]
[tex]A=300\cdot \frac{2.06^2}{2^2}[/tex]
[tex]A=318.27[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?
1,1,2,3,,5,8
Answer:
144
Step-by-step explanation:
The sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946
so you can see the first term larger than 120 is the 144.
The first term in the sequence to exceed 120 will be 144.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is given below.
1, 1, 2, 3, 5, 8.
The sequence is given as,
aₙ = aₙ₋₁ + aₙ₋₂
The first and second terms are given as,
a₁ = 1 and a₂ = 1
Then the 7th term is given as,
a₇ = a₆ + a₅
a₇ = 5 + 8
a₇ = 13
Then the 8th term is given as,
a₈ = a₇ + a₆
a₈ = 13 + 8
a₈ = 21
Then the 12th term is given as,
a₁₂ = a₁₁ + a₁₀
a₁₂ = 89 + 55
a₁₂ = 144
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.
The first term in the sequence to exceed 120 will be 144.
More about the sequence link is given below.
https://brainly.com/question/21961097
#SPJ2
Which statement describes a unit rate?
A.) Ben ate 1 hotdog.
B.) Ben drove 20 miles.
C.) Ben drove 45 miles per hour.
D.) Ben ate 5 chips and 1 pickle.
Answer:
C
Step-by-step explanation:
Because it is saying he drove 45 miles per hour.
11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6
Answer:
c. hhhhhhhhhhhhuhuuuuuuuuuuuuuuuuuuuuu
Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.
Answer:
Step-by-step explanation:
total cost= c
containers of slime=s
c=5s+10
Calculate the average rate of change for the given function, from x = −3 to x = 7.
Answer:
The average rate of change for the given function, from x = −3 to x = 7 will be:
Average rate = -5Step-by-step explanation:
Given the table
x f(x)
-3 50
3 10
7 0
As the interval is from x = -3 to x = 7.
so
at x₁ = -3, f(x₁) = 50
at x₂ = 7, f(x₂) = 0
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 50] / [7-(-3)]
= [-50] / [7+3]
= -50 / 10
= -5
Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:
Average rate = -5A movie theater sends out a coupon for 65% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
Answer:150
Step-by-step explanation:
The equation represents the selling price of a ticket with 65% off on the original price x is y = 0.35x and its graph has been drawn.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
After that, we need to substitute the values of x's and y's into the coordinate geometry.
In order to plot the graph, we need to find out y's values corresponding to x's value
As per the given,
x = original price
y = selling price
Since tickets sold 65% off x = (65/100)x = 0.65x
y = x - 0.65x
y = 0.35x
The graph of the above function has been drawn below with a slope of 0.65.
For more information about the graph of a function
brainly.com/question/27757761
#SPJ2
Find the 59th term of the following arithmetic sequence.
5, 13, 21, 29,
Answer:
469
Step-by-step explanation:
1. use the formula:
[tex]a_n=a_1+d*(n-1);[/tex]
where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.
2. according the formula above:
[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]
What is the product of (9)(-9)-1)?
-81
-1
1
81
Write an equation of the line that passes through a pair of points:
a. y = x +3
b. y = x -3
c. y = -x +2
d. y = -x -2
Answer:
c. y = -x +2
Step-by-step explanation:
pass (0,2): y interception = 2
Line: y=mx+b b=2
what is the value of the expression 2x^3 when x=-2 and y=3
Answer:
2x^3
2*-2^3
2*-8
-16
therefore answer is -16
Melissa wants to buy a new boat but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $3,000 for 3 years. She makes no payments except the one at the end of that time.
Answer:
never give her money again
Which of these expressions is equivalent to?
Number 4
What is 5 minus 3 2/7?
Answer:
1 5/7
abcdefghijklmnopqrstuvwxyz
Answer:
1 and 5/7?
Step-by-step explanation:
if i read that correctly that would read as 5 - 3 and 2/7. therefore when i subtract the whole number first i get 2. Then i proceed to subtract the fraction. which would leave me with 1 and 5/7.
Q. no 16
Convert 730 days into years.
Answer:
730 days =
2 calendar years
Time
730
2 years
Calendar year
Formula
divide the time value by 365
Answer:
2 years
Step-by-step explanation:
There are 365 days in a given year.
In order to solve this, divide 730 by 365:
730/365 = 2
Therefore, 730 days is 2 years.
Is (1, 3) a solution to the system of equations listed below? (1 point) y= 6x -3 y = x - 2
Answer:
The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]
So, (1,3) is not solution to the given system of equations.
Step-by-step explanation:
we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.
The system of equation given is:
[tex]y=6x-3\\y=x-2[/tex]
Solving:
Let:
[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]
Put value of y from equation 2 into equation 1
[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]
Now, put value of x in equation 2 to find value of y
[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]
So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]
So, (1,3) is not solution to the given system of equations.
Define the type of sequence 7,14,28,56,112
Step-by-step explanation:
7 * 2 = 14
14 * 2 = 28
28 * 2 = 56
56 * 2 = 112
Every term is 2x the preceding term.
Hence the sequence is a geometric progression. (GP)
What is the sum of the expressions below? (9x - 8y) + (2x - 6) + (-y + 3)
Answer: 11x - 9y - 3
Step-by-step explanation:
Collect like terms - start with x
9x - 8y +2x - 6 - y + 3
11x - 8y - 6 - y + 3
Collect all y terms
11x - 9y - 6 +3
Collect all integers
11x - 9y - 3 - final answer
15. Express 2/5 as a percentage
Answer:
[tex]40\%[/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \times 100 = 40\%[/tex]
Divide 2 by 5 to get a decimal, then multiply the decimal by 100 to get a percent.
2/5 = 0.4
0.4x100 = 40
2/5 = 40%
sunine daughter of mrs.kirti, sunine is 8years old and mrs.kirti is 2years younger than four times kirti's age, how old is mrs.kirti?
Answer:
30
Step-by-step explanation:
Well 8 x 4 is 32. And if Mrs. Kirti's 2 years younger than that, we subtract 2 from 32. So therefore 32-2=30.
Which is the best estimate for 19% of 205?
A- 40
B- 50
C- 100
D- 400
The best estimate for expression of 19% of 205 is 40.
Option A is the correct answer.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
To find a percentage of a number, we can convert the percentage to a decimal by dividing it by 100.
In this case, we want to find 19% of 205.
To do this, we first convert 19% to a decimal by dividing it by 100:
19 ÷ 100 = 0.19
This tells us that 19% is equivalent to 0.19 as a decimal.
Next, we multiply the decimal by the given number, which in this case is 205:
205 x 0.19 = 38.95
Therefore,
The best estimate for 19% of 205 is 40.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2