Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$530, 6%, 1 year
The simple interest earned on $530 at 5.5% rate for 1 years is $31.80.
How to calculate simple interest?The formula for simple interest is expressed mathematically as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time period.
Given the data in the question;
Principal P = $530Interest rate r = 6%Time period t = 1 yearInterest I = ?First, convert the rate from percent to a decimal form
Rate r = 6%
Rate r = 6/100
Rate r = 0.06
To determine the simple interest earned, plug the given values into the simple interest formula and solve for I.
I = P × r × t
I = $530 × 0.06 × 1
I = $530 × 0.06
I = $31.80
Therefore, the simple interest accumulated after 1 years is $31.80.
Learn more about simple interest here: brainly.com/question/25845758
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write a function using the graph
Answer:
[tex]\displaystyle f(x)=-\frac{2}{3}(x+2)(x-3)^2[/tex]
Step-by-step explanation:
The graph corresponds to a cubic function of the form:
[tex]f(x)=a(x-p)(x-q)(x-r)[/tex]
Where p, q, and r are the zeros of f(x).
We can clearly see there are only two crossings through the x-axis. That is because one of the roots is repeated (multiple).
Thus, the roots are p=-2, q=r=3
Substituting into the function:
[tex]f(x)=a(x+2)(x-3)(x-3)[/tex]
[tex]f(x)=a(x+2)(x-3)^2[/tex]
The value of a can be found by using the y-intercept seen on the graph (0,-12):
[tex]-12=a(0+2)(0+3)^2[/tex]
Operating:
[tex]-12=18a[/tex]
Thus:
[tex]a = -12 / 18 = -2/3[/tex]
The function is now complete:
[tex]\mathbf{\displaystyle f(x)=-\frac{2}{3}(x+2)(x-3)^2}[/tex]
Which of the following expresses a^2x × a^-2x in simplest form?
Answer:
X^2
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
1/2
Step-by-step explanation:
went up one across two. rise over run y over x
Answer:
1/2
Step-by-step explanation:
Brett picks tomatoes from his garden and bags them up to give to his neighbors. He starts with 36 bags of tomatoes and gives out 12 bags every hour until there are none left.
Use the Segment tool to plot a graph representing the number of bags of tomatoes Brett has left to give away from the time he starts giving them away until he has no bags left.
Answer:
I would start the graph at (0,36) and go down 12, right 1 until you reach the end of the graph
Step-by-step explanation:
Hope it helps
PLEASE ANSWER THISS I NEED HELP ASAP!!
Answer:
- i
Step-by-step explanation:
i = √( - 1) ;
i³ = (√( - 1))(√( - 1))(√( - 1)) = - 1 (i) = - i
9/4 ÷ 3/8
HELP ME PLS
Answer:
the answer is 6 u welcome
Can anybody help plzz?? 65 points
Answer:
[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]
[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]
Stationary Points: See below.
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesCalculus
Derivative Notation dy/dx
Derivative of a Constant equals 0.
Stationary Points are where the derivative is equal to 0.
1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undefBasic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{8}{x} +2x[/tex]
Step 2: Find 1st Derivative (dy/dx)
Quotient Rule [Basic Power]: [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule: [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Step 3: 1st Derivative Test
Set 1st Derivative equal to 0: [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides: [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides: [tex]-2x^2=-8[/tex]Divide -2 on both sides: [tex]x^2=4[/tex]Square root both sides: [tex]x= \pm 2[/tex]Our Critical Points (stationary points for rel max/min) are -2 and 2.
Step 4: Find 2nd Derivative (d²y/dx²)
Define: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]: [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify: [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule: [tex]f''(x)=\frac{16}{x^3}[/tex]Step 5: 2nd Derivative Test
Set 2nd Derivative equal to 0: [tex]0=\frac{16}{x^3}[/tex]Solve for x: [tex]x = 0[/tex]Our Possible Point of Inflection (stationary points for concavity) is 0.
Step 6: Find coordinates
Plug in the C.N and P.P.I into f(x) to find coordinate points.
x = -2
Substitute: [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply: [tex]f(-2)=-4-4[/tex]Subtract: [tex]f(-2)=-8[/tex]x = 2
Substitute: [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply: [tex]f(2)=4 +4[/tex]Add: [tex]f(2)=8[/tex]x = 0
Substitute: [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate: [tex]f(0)=\text{unde} \text{fined}[/tex]Step 7: Identify Behavior
See Attachment.
Point (-2, -8) is a relative max because f'(x) changes signs from + to -.
Point (2, 8) is a relative min because f'(x) changes signs from - to +.
When x = 0, there is a concavity change because f"(x) changes signs from - to +.
Ryan works for a delivery service. The function f(n) is used to calculate
his daily pay, in dollars, on a day when he makes deliveries.
f(n)=6n+85
Use the function to fill in the blanks the table shown. Make sure you
have an answer for Blank A, Blank B, and Blank C
Answer:
0=85
4=109
10=145
the answers are Blank A=85,Blank B=109 and Blank C= 10
A doctor estimates that a particular patient is losing bone density at a rate of 3% annuallythe form f(x)=ab^ x , where f(x) represents the bone density after x years ?
The question above is incomplete
Complete Question
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg³. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = ab^x, where f(x) represents the bone density after x years?
Answer:
a = 1500
b = 0.97
f(x) = ab^x
f(x) = 1500(0.97)^x
f(x) = 1500 × 0.97^x
Step-by-step explanation:
We are to find a and b
This question has to do with exponential decay.
This is written as
y = a(1 - r)^x
f(x) = ab^x
r = rate of exponential decay
f(x) = y
a = a
b^x = (1 - r)^x
a = current bone density of the patient = 1500kg/m³
b = (1 - r)
r = 3% = 0.03
b = (1 - 0.03)
b = 0.97
Therefore,
a = 1500
b = 0.97
Hence:
f(x) = ab^x
f(x) = 1500(0.97)^x
f(x) = 1500 × 0.97^x
Wesley subscribes to a telecommunication company’s movie package.The plan includes a basic monthly charge of $40 and an additional charge of $1.50 for every movie ordered. 2a) Write an equation for the total charge for a month, C, in terms of the number of movies, m, Wesley orders per month. This is a required question 2b) If Wesley ordered 4 movies one month, what was his total charge for the month?
Answer:
46
Step-by-step explanation:
So, the plan
monthly =40 + 1.50x
and he orders 4 movies in a month your problem to solve now looks like this
1 month = 40+1.50x4
Then, 1 month= 40 + 6
1 month= 46
You start out with a penny that will double every day, for 30 days. Find the average rate of change from day 14 to day 21.
Answer:I’m not sure but I think it 7
Step-by-step explanation:
Hay 150 numeros en una rifa ¿ cuantos habria que comprar para tener un 8% de probalidad pra ganarla
Answer:
12 numeros
Step-by-step explanation:
para que pueda obtener el 8% de probabilidad, tendrá que comprar el 8% de los números
8% x 150
8 x 150
100
=12 numeros
espero eso ayude
What’s the answer to this please, thanks!
Answer:
8 < x < 16
Step-by-step explanation:
Consider an angle slightly less than 180 between the 4 and 12 ft sides. The measure between the 2 end points is slightly less than the total of the two sides. So the greatest length is 16.
Consider an angle slightly more than 0 between the 4 and 12 ft sides. The measure between the 2 end points is slightly more than the difference between the two sides. So the lowest length is 8.
Find the mean, median, mode and range in each problem.
1)
Nine conical flasks have sodium chloride solution of different quantities. The
amount of solution (ml) in each flask is given below.
2, 10, 16, 2, 20, 18, 22, 14,9
Mean:
Median
Mode :
Range:
Answer:
mean - 12.5
median - 14
mode - 2
range - 20
Step-by-step explanation:
mean = total of the numbers divided by how many numbers there are.
median = average is the middle number in a set of data , when the data has been written in ascending size order. If there is an even number of items of data, there will be two numbers in the middle.
mode = the value that appears most frequently in a data set.
range = the difference between the highest and lowest values in a set of numbers.
If x>0 then x^1/4 is equivalent to which of the following
Answer:
There's no answer to this one. You didn't provide enough info.
Step-by-step explanation:
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Answer the following question #2
9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
The coefficients of x are opposites, so the x-terms can be eliminated by adding the two equations together:
(2x+3y) +(-2x+5y) = (13) +(11)
8y = 24 . . . simpify
y = 3 . . . . . divide by 8
Only one answer choice has y = 3: (x, y) = (2, 3).
__
If you like, you can finish the solution by substituting into one of the equations.
2x +3(3) = 13
2x = 4 . . . . . . . subtract 9
x = 2 . . . . . . . . divide by 2
The solution is (x, y) = (2, 3).
_____
A graph confirms this solution.
With more than 33 species, more species of bats live in Texas than anywhere else in the United States. If Texas contains fewer than 3% of the species of bats in the world, how many species of bats are there worldwide?
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The perimeter of the square is 2.25x and the equilateral triangle is 1.5x + 6. What is the value of x?
Answer:
x = 4
Step-by-step explanation:
2.25x=1.5x+6
divide on both sides by 1.5x which equals
1.5x=6
divide both sides by 1.5
x=4
Answer:
x=4
Step-by-step explanation:
you have to het x by its self
pls help plz plz plz plz plz plz plz plz plz
Answer:
eat sleepless duduehei
To find the quotient of 4 ÷
1
8
, count the number of
in four whole circles.
A faster way to add eight parts, four times, is to multiply 4 by
.
The quotient of 4 ÷
1
8
is
.
Answer:32
Step-by-step explanation:
Well, if you're asking for help with 4 divided by 1/8, there is a simple way to do it.
In order to divide fractions, you multiply by the reciprocal.
4*8=32
So the answer is 32.
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Please, please give brainliest, it would be greatly appreciated, I only need one more before I advance, thanks!
Answer:To find the quotient of 4 ÷
1
8
, count the number of
✔ eighths
in four whole circles.
A faster way to add eight parts, four times, is to multiply 4 by
✔ 8
.
The quotient of 4 ÷
1
8
is
✔ 32
.
Step-by-step explanation:
What is the rate of change of y= 34x - 2
what are the degree &’ leading coefficient of the polynomial?
-23u^3+10-15u-23u^9
Answer:
sorry bro ion know it i just need points for my testg.
Step-by-step explanation:
Evaluate the expression for 1/2(2x+8)+6x and explain your process
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)
=x+4
x+4+6x
=7x+4
PLS GIVE BRAINLIEST
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)+6x
divide by 2 or multiply 1/2 it equals the same anyway
x+4+6x
add like terms
7x+4
L
K
60°
P
?
70°
N
M
What is the measure of KPN?
A. 35
B. 50°
C. 60
D. 659
E
709
Why is Justin Y. everywhere on YT
There's actually a video on Y ou Tu be for that. :p
Need help anyone know this as well? Very confusing
Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how many hours have passed if he made 18 dough balls?
Answer:
4.5 hours
Step-by-step explanation:
8:2h = 18:x
8x = 18×2h
x = 36h/8
x = 4.5
hope this helps :)
$20 s= X s= $21
Solve the compound inequality. Round each answer to the hundredths place.
Answer: x =420 s = 21
Step-by-step explanation:
Jason bought a new truck at $25,000. The truck depreciates 15% of its value continuously each year. How much is it worth after 5 years? Round the answer to nearest dollar.
Answer:
A = $11093
Step-by-step explanation:
Given the following data;
Principal = $25,000
Rate = 15% = 15/100 = 0.15
Time, t = 5
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.Substituting into the equation, we have;
r = -0.15 because it's depreciating.
[tex] A = 25000(1 + \frac{-0.15}{1})^{1*5}[/tex]
[tex] A = 25000(1 - 0.15)^{5}[/tex]
[tex] A = 25000(0.85)^{5}[/tex]
[tex] A = 25000*0.4437[/tex]
A = 11092.63 ≈ $11093
Therefore, the future value, A after 5 years is $11093.
Answer:
11809
Step-by-step explanation: