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$500 invested at 4% compounded annually for 10 years
time: 10 years
compound: annually
interest: 4%
y = 500(1.04)^10
1.04^10 = 1.48
500 x 1.48 = 740
Value after 10 years: $740
Answer:
$740.12
Step-by-step explanation:
The amount is multiplied by 1.04 each year, so after 10 years, the balance will be ...
$500(1.04^10) = $740.12
surface area of a cylinder
Answer:
A=2πrh+2πr2
Step-by-step explanation:
Answer:
the surface area of cylinder is T.S.A=
2πrh+2πr2
HOPE IT HELPS YOU
Each turkey meatball uses 0.3 pounds of ground turkey. How many meatballs can you make with 8.1 pounds of ground turkey.
Answer:
You can make 27 meatballs.
Step-by-step explanation:
if you add keep subtracting 8.1 by 0.3, then you subtract 27 times to get 0, so you can make 27 meatballs.
ana wants to earn 88 percent in her chemistry class she has one quiz left to take on the first 5 quizzes she received a 74 percent a 92 percent and a 83 percent and 100 percent what must she score on the 6th quiz to get the 88 she wants?
Answer: 91
Step-by-step explanation: I assume you had a typo and mean what did Ana need on the 5th quiz since you only listed 4 quiz scores.
(74 + 92 + 83 + 100 + x)/5 = 88
(349 + x)/5 = 88
((349 +x)/5) x 5 = 88 x 5
349 + x = 440
x = 440-349
x = 91
Aaron is building a brick wall. The wall will need 1025 bricks.the weight of each brick is 2.89 kg. Aaron will pay a delivery charge if the total weight of bricks is over 2500kg
Answer:
he will pay
Step-by-step explanation:
2962.25 is the total weight of the bricks
Is a parallelogram but not a rectangle
Answer:
A square
Step-by-step explanation:
A square meets the requirements of a parallelogram.
2 ( 3 x 4) - 10 + 14/2 = 21
true or false
Answer:
true
Step-by-step explanation:
An appliance store decreases the price of a 19-in. television set 25% to a sale price of $ 474.75 . What was the original price?
Answer:
$633.00
Step-by-step explanation:
Decreasing the price 25% makes the new price be 75% of the original:
$474.75 = 0.75×(original price)
original price = $474.75/0.75
original price = $633.00
sean b= 5,79; c= 10,4,el angulo A= 54,46°, el angulo C mide ?
Answer:
[tex]C \approx 91.732^{\circ}[/tex]
Step-by-step explanation:
(This exercise is presented in Spanish and for that reason explanation will be held in such language)
El lado restante se determina por la Ley del Coseno:
[tex]a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A}[/tex]
[tex]a = \sqrt{5.79^{2}+10.4^{2}-2\cdot (5.79)\cdot (10.4)\cdot \cos 54.46^{\circ}}[/tex]
[tex]a \approx 8.466[/tex]
Finalmente, el angulo C se halla por medio de la misma ley:
[tex]\cos C = - \frac{c^{2}-a^{2}-b^{2}}{2\cdot a \cdot b}[/tex]
[tex]\cos C = -\frac{10.4^{2}-8.466^{2}-5.79^{2}}{2\cdot (8.466)\cdot (5.79)}[/tex]
[tex]\cos C = -0.030[/tex]
[tex]C \approx 91.732^{\circ}[/tex]
Your swimming pool containing 65,000 gal of water has been contaminated by 7 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return the water to the pool at a flow rate of 200 gal/min. Assume that the dye is uniformly distributed throughout the pool.
(a) What is the initial value problem for the filtering process?
(b) You have invited several dozen friends to a pool party that is scheduled to begin in 4 h. You have determined that the effect of the dye is imperceptible if its concentration is less than 0.03 g/gal. Is your filtering system capable of reducing the dye
concentration to this level within 4 h?
Answer:
a) [tex]a(t)=7e^{\frac{-t}{325} }[/tex]
b) it is noticeable
Step-by-step explanation:
a) Let a(t) be the amount of die at time t. a is in kg and t is in minutes. Therefore:
[tex]\frac{da}{dt} =\frac{-a(t)}{65000}*\frac{200gal}{1 min}=\frac{-a}{325}\\\frac{da}{a} =\frac{-1}{325} dt\\\int\limits{\frac{1}{a} } \, da =\int\limits{\frac{-1}{325} } \, dt\\ln(a)=\frac{-1}{325} t+c\\a=ce^{\frac{-t}{325} }\\at\ t=0, a=7\\ 7=ce^0\\c=7\\a(t)=7e^{\frac{-t}{325} }[/tex]
b) 4 hrs = (4 * 60) min = 240 min
[tex]a(t)=7e^{\frac{-t}{325} }\\a(240)=7e^\frac{-240}{325} = 3.345kg[/tex]
3.345 kg = (3.345 * 1000 / 60000) g/gal = 0.0557 g/gal
0.0557 g/gal > 0.03 g/gal, therefore it is noticeable
if 20%of people like skittles and 20 people were surveyed how many of them liked skittles
Answer:
4
Step-by-step explanation:
20x.2 or 20x(1/5)
Answer:
4
Step-by-step explanation:
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.
Conjecture:
Answer: true
Step-by-step explanation:
Please answer number three I give brainliest thank y’all so much!
Answer:
Step-by-step explanation:
2 and 6
Answer:
2 and 6
Step-by-step explanation:
mode is the most frequent number and 2 and 6 are both shown the most and that is 4 times for both its a tie so it would be both of them
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.130.13 gallons. A previous study found that for an average family the variance is 2.562.56 gallons and the mean is 16.316.3 gallons per day. If they are using a 80%80% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
Therefore, a sample that is required to estimate the mean usage of water must be at least 249.
Step-by-step explanation:
We are given that they would like the estimate to have a maximum error of 0.13 gallons.
A previous study found that for an average family the variance is 2.56 gallons and the mean is 16.3 gallons per day.
As we know that; Margin of error formula is given by;
Margin of error = [tex]Z_(_\frac{\alpha}{2}_) \times \text{Standard of error}[/tex]
where, [tex]\alpha[/tex] = level of significance = 1 - 0.80 = 20% and [tex](\frac{\alpha}{2} )[/tex] = 10%
Standard of error = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
where, [tex]\sigma[/tex] = standard deviation = [tex]\sqrt{2.56}[/tex] = 1.6
n = sample size
Also, the critical value of z at 10% significance level is given in the z table as 1.282.
SO, Margin of error = [tex]Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }[/tex]
0.13 = [tex]1.282 \times \frac{1.6}{\sqrt{n} }[/tex]
[tex]\sqrt{n}[/tex] = [tex]\frac{1.282 \times 1.6}{0.13}[/tex]
n = [tex]15.8^{2}[/tex]
n = 248.95 ≈ 249.
Therefore, a sample that is required to estimate the mean usage of water must be at least 249.
What is the domain of the function
f(x) =
1/3x+2
Answer:
x=-6
Step-by-step explanation:
substitute f(x)=0
0=1/3x+2
solve for x
x=-6
Answer:
x >= -6
Step-by-step explanation:
edg 2020
Ms. Sheppard cuts 1/2 of a piece of construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does she used to make flower?
Answer:
1/12
Step-by-step explanation:
Select all that apply
Answer:
The answer to this is both (3,0) and (0,-3). C and B
Step-by-step explanation:
This is because the points in which these two graphs meet is the solution of equations.
Please mark me Brainliest!
You are dividing a community garden 35 m long by 15 m wide into equal-sized square gardens. Find the greatest possible dimensions of each square.
Answer:
35 divided by 15 multiplied by 4=9
Step-by-step explanation:
Hope this helps
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=97.47​, y=97.35​, r=0.892​, ​P=0.000, and y=-9.15+1.09x​, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104​? Use a significance level of 0.05.
Question:
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x' =97.47, y' =97.35, r=0.892, P=0.000, and y^=-9.15+1.09x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104? Use a significance level of 0.05.
Answer:
y^ = 104.21
Step-by-step explanation:
Given:
n = 20
x' = 97.47
y' = 97.35
r = 0.892
P-value = 0.000
y^ = -9.15 + 1.09x
Here, the wife has an IQ of 104.
The regression equation here is given as:
y^ = -9.15 + 1.09x
Let x represent the IQ of the wife.
x = 104
Hence, the best predicted value of y^ will be:
Let's substitute 104 for x in tge regression equation.
y^ = -9.15 + 1.09(104)
y^ = - 9.15 + 113.36
y^ = 104.21
Therefore, the best predicted value of y^ = 104.21
Which point on the number line represents the product (5) (negative 2) (negative 1)?
Answer:
10 (positive 10)
Step-by-step explanation:
5 times -2 is equal to -10.
-10 times -1 is equal to 10.
Answer:
postive 10
Step-by-step explanation:
A line intersects the points (-8,-1) and (1,8). What is the slope-intercept equation for this line?
Slope is the change in y over the change in x:
Slope = (8 - (-1) ) / ( 1 - (-8))
Slope = 9/ 9
Slope = 1
[tex]y = \frac{(190)^{3} {68^{2} } \times ( \frac{34}{95}^{ \frac{19}{3} } [/tex]
plz help me solve this question.
Answer:
[tex]\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)/(a^c) = a^(b-c)
__
[tex]\dfrac{190^3}{68^2}\times\dfrac{34}{95^{\frac{19}{3}}}=\dfrac{(2\cdot 95)^3}{(2\cdot 34)^2}\cdot\dfrac{34}{95^6\cdot 95^{\frac{1}{3}}}=2^{3-2}95^{3-6-\frac{1}{3}}34^{1-2}\\\\=2\cdot 95^{-3\frac{1}{3}}\cdot 34^{-1}=2\cdot 95^{-4+\frac{2}{3}}\cdot 34^{-1}\\\\=\dfrac{2\sqrt[3]{95^2}}{95^4\cdot 34}=\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}\\\\=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}[/tex]
The diameter of a cylindrical construction pipe is 4 ft, and its
length is 18 ft.
Answer the parts below.
Answer:
72π ft³226.19 ft³Step-by-step explanation:
(a) The figure shows the diameter of the pipe is 4 ft, so its radius is 2 ft. The equation for the volume of a cylinder is ...
V = πr^2·h
Filling in r=2 and h=18, we have ...
V = π(2 ft)^2(18 ft) = 72π ft^3
The exact volume is 72π ft³.
__
(b) Using a sufficiently accurate value of pi, the numerical value of the volume is ...
72π ft^3 ≈ 226.19 ft^3
The approximate volume is 226.19 ft³.
6, 12, 18 and 24 are the first four multiples of 6.
What are the next 2 multiples?
Answer:
30 and 36
Step-by-step explanation:
six times two equals 12
6 * 3 = 18
and six times four equals 24.
to get the next two multiples, You need to multiply 6 by 5, and then 6
6 * 5 = 30 and 6 * 6 = 36
The table represents the number of milkshakes sold by a restaurant since they were added to the menu.
Time (months) Milkshakes sold
1 259
4 380
7 501
10 622
13 744
Which graph best represents the relationship between time and the number of milkshakes sold?
Answer: the answer to this is A
Answer:A
Step-by-step explanation:
Simple. You'll find the function itself as proportional, and not exponential.
Jordan is watching the action movie
Answer: Jordan is sad about how the story ends
Step-by-step explanation:
The story is sad
Jordans POV
Twenty-seven minus 2 of a number (™) is not more than 36. What is the number?
A. x > 42
B. X2-6
OC. X<3
OD. X5-6
Un equipo de fútbol se conforma de cuatro líneas de jugadores: portero (9%), defensas (37%), medios (27%) y delanteros (27%), donde los goles anotados por el equipo en cada línea son: portero 1 gol, defensas 11 goles, medios 15 goles y delanteros 23. Supongamos que en un partido se gana por un gol. ¿Qué probabilidad hay de que este fuera anotado (a) por la defensa, (b) por los medios y (c) por los delanteros?
Answer:
According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.
So, each probability can be found by using standard probabilities
[tex]P=\frac{events}{total outcomes}[/tex]
(a) Defense[tex]P=\frac{11}{50} \approx 0.22[/tex]
Therefore, the defense has a probability of 22% of score that goal.
(b) Midfielders[tex]P=\frac{15}{50} \approx 0.30[/tex]
Therefore, midfielders have a probability of 30% of scoring that goal.
(c) Strikers.[tex]P=\frac{23}{50} \approx 0.46[/tex]
Therefore, strikers have a probability of 46% of scoring that goal.
Para resolver correctamente el ejercicio debemos tener en cuenta el numero de casos favorables sobre el numero total de casos posibles; el numero de casos favorables corresponde a la proporción de goles por cada linea,lo que quiere decir que son el numero de goles por cada linea según los datos que da el ejercicio.
El numero total de casos posibles corresponde al valor total de los goles por todo el equipo (1+11+15+23=50)
Ahora para calcular las probabilidades debemos hacer lo siguiente:
Para hallar la probabilidad de que fuera anotado un gol por la defensa debemos dividir el numero de goles posibles sobre el total de casos posibles;P=[tex]\frac{11}{50}[/tex] =0.22 ×100=22%; ( la probabilidad de que anoten un gol las defensas es del 22%.
Para hallar la probabilidad de que fuera anotado por los medios debemos dividir el numero de goles posibles sobre el total de casos posibles;P=[tex]\frac{15}{50}[/tex]=0.3 ×100=30% (La probabilidad de que anoten un gol los medios es del 30%
Para hallar la probabilidad de que fuera anotado por los delanteros debemos dividir el numero de goles posibles sobre el total de casos posibles;P=[tex]\frac{23}{50}[/tex]=0.46×100=46%; (La probabilidad de que anoten un gol los delanteros es del 46%)
Como conclusión podemos decir que hay una mayor probabilidad de que los delanteros puedan anotar ese único gol que les permita ganar el partido pues el numero de casos posibles es mayor comparado con las otras lineas del equipo.
Si deseas mas información sobre el tema de las probabilidades puedes dirigirte a este enlace;
https://brainly.com/question/18455475
Several transformations of the function f(x2)=x2 are shown below. For which graph is k=3
Answer: I am pretty confident that the answer to your question is kf(x).
Step-by-step explanation: SO in the graph of f(x) = x^2, one of the coordinates is (1,1). And in the graph of kf(x), it changes to (1,3).
Two shoppers buy the following at a fruit,paying the amounts given.
Shopper 1: 4 apples and 3 bananas for $2.59
Shopper 2: 6 apples and 5 bananas for $4.11
a) Decide on pronumeral names for the unknown quantities.
b).write equations involving these pronunerals.work in terms of dollars.
c). Solve for the unknowns.
Answer:
a) x is the cost of an apple and y is the cost of a banana.
b)
[tex]4x + 3y = 2.59[/tex]
[tex]6x + 5y = 4.11[/tex]
c) An apple costs $0.31 and a banana costs $0.45.
Step-by-step explanation:
We have to find the cost, in dollars, of an apple and of a banana.
We do this solving a system of equations.
a) Decide on pronumeral names for the unknown quantities.
I am going to say that:
x is the cost of an apple.
y is the cost of a banana.
b).write equations involving these pronunerals.work in terms of dollars.
4 apples and 3 bananas for $2.59
This means that [tex]4x + 3y = 2.59[/tex]
6 apples and 5 bananas for $4.11
This means that [tex]6x + 5y = 4.11[/tex]
c). Solve for the unknowns.
I am going to use the addition method, multiplying the first equation by 5 and the second by -3, and then adding them. So
20x + 15y = 12.95
-18x - 15y = -12.33
20x - 18x + 15y - 15y = 12.95 - 12.33
2x = 0.62
x = 0.62/2
x = 0.31
And
4x + 3y = 2.59
3y = 2.59 - 4x
3y = 2.59 - 4*0.31
3y = 1.35
y = 1.35/3
y = 0.45
An apple costs $0.31 and a banana costs $0.45.
G
If f(x) = 6x – 4, what is f(x) when x = 8?
Answer: f(x)=44
Step-by-step explanation:
Since x is given, we can directly plug it into our function.
[tex]f(8)=6(8)-4[/tex]
[tex]f(8)=48-4[/tex]
[tex]f(8)=44[/tex]