It will take approximately 5.5 years for the investment to be worth $23,000
Compound interestFrom the question, we are to determine when the investments will worth $23,000
Using the compound interest formula,
[tex]A = P (1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r is rate
n is the number of times it is compounded
and t is the time in years
From the given information,
A = $23000
P =$18000
r = 6.7%
n = 4
t = ?
Putting the parameters into the formula, we get
[tex]23000 = 18000(1+\frac{6.7}{100 \times 4})^{4t}[/tex]
[tex]\frac{23000}{18000} = (1.01675)^{4t}[/tex]
[tex]1.4375= (1.01675)^{4t}[/tex]
[tex]1.4375 = (1.0687)^{t}[/tex]
t = 5.46
t ≅ 5.5 years
Hence, it will take approximately 5.5 years for the investment to be worth $23,000
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0). x – 3 x – 1 x 1 x 3
The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
What is a Polynomial Function ?A function in which there is only positive exponents to the variables are called polynomial function.
The missing image is attached with the answer.
It is given in the question
on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)
The zeroes of the polynomial function are the points at which the curve will cut x axis
For the given graph,
the curve cuts the x-axis at x = 1 and x = 6
the factors will be x - 1 and x - 6
Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
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Answer:
B
Step-by-step explanation:
B
In a track field competition, A discus has a radius of 11 centimeters. What is the circumference, I centimeters, of the discus?
Given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.
What is the circumference of the discus?Note that; a circumference is the perimeter of a circle or ellipse.
It is expressed as C = 2πr
Where r is the radius and π is the constant pi ( π = 3.14 )
Given that;
Radius of the discus r = 11cmCircumference C = ?C = 2πr
C = 2 × 3.14 × 11cm
C = 69.08cm
Therefore, given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.
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Cara is a high school student. On average, there are 26 students per class at her school, with a standard deviation of 3 students. What percentage of classes at Cara's high school will have between 20 students and 35 students?
A. 0.15%
B. 97%
C. 99%
D. 0.3%
Answer:
B. 97%
Step-by-step explanation:
20 students is -2 standard deviations away from the mean
35 is +3 standard deviations away from the mean
100 - 2.4 = 97.6
(2.4 is amount of data we are not using)
please refer to the standard deviation graph attached :)
Solve the percent proportion. 7 is 35% of what number?
Answer:
35 ×x =7
100
35x=7
100
35x=700
35 35
x = 20.
HOPE IT HELPS,BRAINLIESTPLEASESolve |5x + 15| = 10x. Identify the solution and an extraneous solution.
A. Solution: x= 3; extraneous solution: x=-3
B. Solution: x= 3; extraneous solution: X=-1
c. Solution: x= 1; extraneous solution: X=-3
D. Solution: ×= -1; extraneous solution: X=3
If 5x + 15 ≥ 0, then |5x + 15| = 5x + 15. The equation reduces to
5x + 15 = 10x
15 = 5x
x = 3
If instead 5x + 15 < 0, then |5x + 15| = -(5x + 15), and the equation becomes
-5x - 15 = 10x
-15 = 15x
x = -1
If x = 3, then |5x + 15| = 30 and 10x = 30, so x = 3 is a valid solution.
If x = -1, then |5x + 15| = 10 while 10x = -10, so x = -1 is the extraneous solution.
Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
[tex]\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\[/tex]
[tex]\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}][/tex]
anyone know the answer?
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
p and q are rational numbers which of the following expression cannot be used to find the distance between them on the number line
The expression that cannot be used to find the distance between them on the number line is |p + q|.
How to depict the infomation?p and q are rational numbers. Which of the following expressions cannot be used to find the distance between them on the number line.
A. |p - q|
B. |p + q|
C. |q + (-p)|
D. |q - p|
Rational number is a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
Here, the expression that cannot be used to find the distance between them on the number line is |p + q|.
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The volume of this triangular prism is 95,030 cubic inches. What is the value of m?
85 in
86 in
m =
Answer:
About 28 inches
Step-by-step explanation:
See attached image. Remember that Volume of a prism can be found by multiplying the area of the side face, by the depth.
Our side face is the shape of a triangle, and the depth is the unknown, m.
Solve the area of the triangle
Divide the volume by the area of the triangle to find our depth
find the radius of a circle with a circumference of 59 yards round your answer to the nearest hundredth of a yard
Answer:
9.39
Step-by-step explanation:
[tex]\frac{C}{2\pi } =R[/tex]
[tex]\frac{59}{6.28}[/tex]= 9.39
10, 5, 5/2 Find the 6th term.
Answer:
Hey there!
Arithmetic sequences are made up of terms that are added or subtracted, and geometric sequences are made up of terms that are multiplied or divided.
Given this info, we can see that we go from 10 to -5. Because we know that this is geometric, we see that we must divide by -2 in our sequence.
We can see that this is true because -5/-2=5/2.
Now, we could simply continue dividing by negative two to get our answer, which is -5/16.
You could easily do that with a calculator, but if you had to find a term that was farther from the first term, that would take forever to do with a calculator, so there is an equation that you can use and plug in your numbers to find the answer quickly.
, where is the number of term in the sequence (6 in this problem), a is the first term of the sequence (10), and r is the common ratio (-1/2).
I hope this helps!
Step-by-step explanation:
Tyshawn went shopping for a new pair of pants. Sales tax where he lives is 6%. The price of the pair of pants is $49. Find the total price including tax. Round to the nearest cent.
The total price of new pair of pants including tax will be $ 51.94.
What is the percentage?Everything is stated as if it was a fraction of a hundred in quantity.
Tyshawn went shopping for a new pair of pants.
Sales tax where he lives is 6%.
The price of the pair of pants is $49.
Then the total price of new pair of pants including tax will be
Total cost = 49 x (1 + 0.06)
Total cost = 49 x 1.06
Total cost = $ 51.94
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4/9 of students at a school are boys. If there are 2322 students at the school, how many are girls?
What is the length of HI? (Giving 40 points please hurry!)
Answer: Hope this helps you!
3
Step-by-step explanation:
9 (total amount) - 6 (1 part of it) = 3 (the other part of it)
Brainliest?
honestly so confused
Answer:
The first part put 6
second, put 2
third put 1
Step-by-step explanation:
it was just asking for the number, not anything else, so you would just add like terms.
and could u pls put me as the brainliest
Will be marked barinliest if correct
Answer:
12
Step-by-step explanation:
Using the very helpful diagram, you can simply count the number of items on the far right. So 6 combinations with cola and 6 combinations with juice together equal 12 total combinations.
Answer:
How to answer this?
Step-by-step explanation:
Which of the following can be used to find the sum of the interior angles for
any regular polygon?
A. Multiply the number of sides by 180
B. Add 1 to the number of sides and multiply the sum by 180
OC. Divide the number of sides by 180
D. Subtract 2 from the number of sides and multiply the difference by
180
Mi papa es el gerente de una empresa donde se fabrican 20 televisores de cada una de las siguientes medidad 20 26 32 37 y 40 pulgadas para el aniversario de la empresa rifaran entre sus 10 empleados dos televisores de 36 pulgadas y uno de 32 pulgadas
1- que probabilidad hay de que en la rifa obtengan una de 40 pulgadas?
2-Que probabilidad hay de que un empleado obtenga una television en la rifa
3-que cantidad de televisores maquila cada empleado
De acuerdo a la información, se puede inferir que la probabilidad de cada empleado para ganarse un televisor es de 0.3. Por otra parte, la cantidad de televisores que maquilla cada empleado es 2.
¿Cómo calcular la probabilidad de cada empleado de ganarse un televisor?Para calcular la probabilidad de cada empleado de ganarse un televisor utilizamos la siguiente formula:
P (probabilidad) = (casos favorables)/(casos posibles).De acuerdo a la formula, solo tenemos que remplazar los valores, el número de casos favorables es 3 debido a que hay 3 televisores en total el sorteo, y el número de casos posibles, es 10 debido a que 10 empleados están participando en la rifa, como se muestra a continuación:
P = 3 ÷ 10P = 0.3¿Cómo calcular cuántos televisores maquilla cada empleado?Para calcular cuántos televisores maquilla cada empleado debemos tener en cuenta que la empresa produce 20 televisores y que tiene 10 empleados. Entonces tenemos que dividir el numero de televisores en el número de empleados como se muestra a continuación:
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What is the lowest common denominator of the following set of fractions:1/6, 13/27, 4/5, 3/10, 2/5?
The lowest common denominator of the set of fractions 1/6, 13/27, 4/5, 3/10, 2/5 is 270.
What is lowest common denominator?The lowest common denominator of LCD is least common multiple of denominators of the fractions.
given fractions:
1/6, 13/27, 4/5, 3/10, 2/5
taking the Prime factorization of denominator of the fractions
6 = 2x3x1
27 = 3x3x3x1
5 = 5x1
10 = 2x5x1
5 = 5x1
Therefore, lcm is 2x3x3x3x5 = 270
so, LCD is 270
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One force of 700 pounds and one force of 490 pounds act on a body at the same point so that the resultant force is 1120 pounds. find the angle between the resultant and the smaller force, to the nearest degree.
Answer:
angle 700 < angle 1120 pounds
what is 15/56 in simplest form
Answer:
15/56
Step-by-step explanation:
15 and 56 have a GCF of 1.
hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
need answer asap!!!!!
how would i solve this?
The height of the building to the nearest tenth of a meter is; 13 m
How to make use of Cosine Rule?The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;
15/x = sin 36°
x = 15/sin 36
x = 25.52 m
Angle between that slant line and base of building is;
90 - tan⁻¹(1.5/14) = θ
θ = 83.88°
Remaining angle of the bigger triangle is;
180 - (36 + 83.88) = 60.12°
Thus, if the height of the building is h, then;
h/sin 36 = 25.52/sin 60.12
h = 13 m
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Find the third, fourth, and tenth terms of the sequence describe by the rule below
A(n)=3+(n-1)(-2)
Please help ASAP, I need to get this done by midnight...
The third term, fourth term and tenth term are -1, -3, -15 respectively.
What is a sequence?A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.
Analysis:
For a sequence defined by the rule A(n) = 3 + (n-1)(-2)
Third term, n = 3
A(3) = 3 + (3-1)(-2) = -1
Fourth term, n = 4
A(4) = 3 + (4-1)(-2) = -3
Tenth term, n = 10
A(10) = 3 + (10-1)(-2) = -15
In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.
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The diagonals of kite KITE intersect at point P. Which statement is true?
A. < KIE =
B.
C.
D.
Based on the properties of a kite, the statement that is true is: D. KPE = TPE.
What is a Kite?A kite is a quadrilateral in which its diagonals intersect at right angles.
Also, the non-vertex angles of a kite are congruent, that is they have equal measure.
Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.
Therefore, the true statement is:
D. KPE = TPE
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PLS HELPPPPP !!!! Figure ABCD is transformed to figure A'B'C'D':
B
A
5-4-3-2-10 1 2
1
-2
C
Which angle in Figure A'B'C'D' is equal to ZBCD?
OZD'A'B'
OZA'B'C'
ZB'C'D'
OZC'D'A'
54
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
A company provides snack-sized packages of nuts for its office employees.
employees can choose from among five kinds of nuts. which probabilities
correctly complete this probability distribution for 50 packages of nuts, in the
order listed?
nuts
almonds cashews mixed peanuts pecans
12
10
6
14
8
number of
packages
probability
a. probability 0.32 0.24 0.14 0.2 0.1
The probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
How to calculate the probability?From the information given, we have to find the probability for each fruit. This will be:
Almond = 12/50 = 0.24
Cashew = 10/50 = 0.2
Mixed = 6/50 = 0.12
Peanut = 14/50 = 0.28
Pecan = 8/50 = 0.16
Therefore, the probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
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Which of the following best describes the graph shown below?
Using function concepts, it is found that the statement that correctly describes the function is:
C. This is the graph of a one-to-one function.
When does a graph represents a function?A graph represents a function if it is one-to-one, that is, each value of x is mapped to one value of y.
In this problem, this happens, each value of x is mapped to one value of y, in a non-linear format, hence option C is correct.
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While cooking a stew, Jim used 2/3 of a shaker of salt and 7/12 of a shaker of pepper. How
much more salt did Jim use?
Answer:
he used one 1/12 more of salt.
Step-by-step explanation:
2/3 I know equals 8/12
And
7/12 = 7/12 so
You just do
8/12 - 7/12 = 1/12