9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
Calculate the balance for a $4,465 deposit in an account with an APR of 3.0% that compounds interest daily that is invested for 5 years?
Express your answer rounded correctly to the nearest cent. Do not include units on your answer.
help hurry
Compound interest formula:
Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)
Total = 4,465(1 + .03/365)^(365x5)
Total = $5,187.56
The balance after 5 years will be $5177 and 10 cents.
How to calculate compound interest?
Compound interest is calculated by following formula:
[tex]A(1+\frac{r}{n})^{nt}[/tex]
Here:
A=principle amount=$4465
r=rate of interest/100=3/100=0.03
n=no. of days interest is applied=365 days
t=time period of interest=5 years
Putting all the values in the formula we get:
[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]
Therefore, The amount at the end will be $5177 and 10 cents.
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Solve the system of equations:
{ x+y=6
y+3x=4
HURRY
Answer:
(-1,7)
Step-by-step explanation:
Equations:
x + y = 6
y + 3x = 4
Slope-Intercept Form:
y = -x + 6
y = -3x + 4
Graph:
Graph them yourself!
(On the graph they intersect at -1,7)
0.1 to the power of 5
I need help!
Answer:
.00001
1*10^-5
Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m
Answer:
The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.
Step-by-step explanation:
Pls help me complet this
Answer: The number of times a blue cube will be drawn is 395 times.
Step-by-step explanation: So since the original amount a blue cube got drawn is 79 and they did it 240 times, we can set up a ratio.
79/240 = x/1200
We use 1200 since the question asks us how many times a blue cube will be drawn if they did the experiment 1200 times. To solve x, multiply 1200 and 79 and you get 94,800. Then divide that by 240, which is 395. Therefore it will get drawn 395 times.
Hope this helps.
Choose all the possible solution that makes the inequality statement True
b6+5≥10
0
30, 31, 32
30, 29, 28
-30, -29, -28
Answer:
Second and third answer
Step-by-step explanation:
Correct :
Second : 30,31,32
this is because it makes it GREATER than 10 and we are looking for equal or greater than 10.
Third : 30 , 29 , 28
Again same reason
Wrong :
First : 0
This is wrong because it would plug in as (0)(6) + 5 ≥10
solve it :
0*6 = 0 so
0+5 ≥10 , so i tis wrong
Last option : -30,-29,-28
This is because multiplying negative with positive number woulf get a negative number. And the adding 5 would make it greater but wont be enough to change it to a positive number equal to or greater than 10.
example of a 400 word essay which choosing a college
Evaluate the expression:
5(10 + d?) for d=2
Answer:
60
Step-by-step explanation:
this uses the distribution property
first plug in 2 for d
5(10+2)
then distribute the 5 to both numbers in the parentheses
50+10=60
Answer:
The answer is 60
Step-by-step explanation:
First you have to plug in the 2 in place of the variable in the equation. Then add 10+2 first. After you add you will get 12, now you do 5x12 and get 60
The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8
Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit
9514 1404 393
Answer:
f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallonStep-by-step explanation:
Given:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
Find:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
Solution:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.
Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
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Halle el perimetro de las siguientes figuras.
Please please help please
Answer:
4 times larger
Step-by-step explanation:
HELP ME WITH THIS GRAPH PLSSSSSSS
Answer:
It would be 6 miles per hour
Step-by-step explanation:
the points are right above of 5 so it would have to be 6.
Help thank you so much
Answer:
1.c
2.b
3.a
4.d
5.c
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
PLEASE HELPP Btw letter D. Says 80
The probability that Scott will win his next tennis match is 3/5
What is the probability that he will not win?
Answer:
the probability that he will not win is 2/5 cause it's just the chance that he doesn't win
helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|
A: <
B: >
C: =
Answer:
=
Step-by-step explanation:
Because |-4| is basically 4 since its the absolute value of that..
there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
:>
An electrical appliances shop owner estimates that his sales will increase by 5% every
month. The sales for the first month were 30.000. Find
i) the sales for the 10th month.(46539.86)
ii) the total sales for the first year.(477513.80)
Five less than twice the value of a number is equal to three times the quantity of 4 more than 1/2 the number what is the number let x be the number right and solve an equation to find x show your work.
The value of the number is x = 34.
Let's break down the problem and solve it step by step.
1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.
2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).
According to the problem statement, the two expressions are equal. We can set up the equation as follows:
2x - 5 = 3 * (x/2 + 4)
Now, let's solve the equation:
2x - 5 = 3 * (x/2 + 4)
Distribute the 3 to both terms inside the parentheses:
2x - 5 = (3/2)x + 12
Multiply through by 2 to eliminate the fraction:
2(2x - 5) = 2((3/2)x + 12)
4x - 10 = 3x + 24
Next, let's isolate the x term by moving the constant terms to the other side of the equation:
4x - 3x = 24 + 10
Simplify:
x = 34
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find the distance between (-5 3) and (4 -5)
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √ ( x ₂ − x ₁ )² + ( y ₂ − y ₁ ) ²
Substitute the actual values of the points into the distance formula.
√ ( 4 − ( − 5 )) ² + ( ( − 5 ) − 3 ) ²
Simplify:
√ 145
The result can be shown in multiple forms.
Exact Form:
√ 145
Decimal Form:
12.04159457 … ≈ 12.04
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
Verifal angles I think but I'm not necessarily sure!!!
Find the mean for the following group of data item 1, 7, 5, 4, 9, 6, 7, 4
Answer:
5.375
Step-by-step explanation:
A family goes out to dinner, and their bill before tax costs $68. Tax is 7.5%. They give a tip of 20% of the bill, calculated after adding tax. What was the total cost of their dinner, after-tax, and tip?
Answer
87.72
Step-by-step explanation:
7.5% of 68 is 5.1 so 68+5.1=73.1
20% of 73.1=14.62 sooooo 14.62+73.1=87.72
Help!!! please please
Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?
Answer:
A is the correct answer .
Step-by-step explanation:
Hope this helps .
The equation that allows you to solve the given equation is (x-3)(2x+5).
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.
The given quadratic equation is:
[tex]2x^{2} -15=x[/tex]
[tex]2x^{2} -x-15=0[/tex]
[tex]2x^{2} -6x+5x-15=0[/tex]
[tex]2x(x-3)+5(x-3)=0[/tex]
[tex](x-3)(2x+5)=0[/tex].......(1)
So, the required equation is equation(1).
Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).
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Find the missing side length.
AJKL ~ AGKH
simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8
Answer:
Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8
Answer:
B.) -1/8
Step-by-step explanation:
You flip the problem because of the negative exponent
[tex]\frac{1}{-2^3}[/tex]
This makes the exponent positive
Expand the denominator
(-2) * (-2) * (-2) = 4*(-2) = -8
1/-8 = -1/8
What are 3 digits that equal 24
Answer:
1 x 24, 2 x 12, 3 x 8, and 4 x 6.
Hope this helps
Have a great day
Step-by-step explanation:
Answer:
8+8+8 is the answer give brainliest
Prove that Newton-Raphson method for solving the equation [tex]x^{k} e^{x} = 0[/tex] (where k is constant) is given by this formula: [tex]x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}[/tex]
We have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]
To prove that the Newton-Raphson method for solving the equation [tex]x^k e^x = 0[/tex], where k is a constant, is given by the formula
[tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,[/tex]
we can start by considering the iterative process of the Newton-Raphson method.
Given an initial guess [tex]x_n[/tex], we want to find a better approximation [tex]x_{n+1}[/tex]that is closer to the root of the equation [tex]x^k e^x = 0.[/tex]
The Newton-Raphson method involves the following steps:
Calculate the function value [tex]f(x_n) = x_n^k e^x_n[/tex] and its derivative [tex]f'(x_n) = k x_n^(k-1) e^x_n.[/tex]
Find the next approximation x_{n+1} by using the formula:
[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]
Let's apply these steps to our equation [tex]x^k e^x = 0[/tex]:
Calculate the function value and its derivative:
[tex]f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n[/tex]
Find the next approximation x_{n+1} using the formula:
[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]
Substituting the function value and its derivative:
[tex]x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)[/tex]
Simplifying the expression by combining like terms:
[tex]x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n[/tex]
Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]
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