Answer:
What is the amount (to the nearest cent) in the account at the end of three years if the interest rate is 2%? $1,350.68
Step-by-step explanation:
DATA:
Deposits (at beginning of year):
Year 1 = $500
Year 2 = $200
Year 3 = $600
growth factor: z = 1 + r
interest rate is 2% so replace r with 2%. Growth factor equation is now:
z = 1 + 2%
z = 1.02
Year 1 account balance end of year = account balance + growth factor
= $500 + 1.02
= $ 510 account balance at end year 1
Year 2 account balance end of year = (previous year ending balance + current year deposit) * growth factor
= ($510 + $200) * 1.02
= $724.20
Year 3 account balance end of year = (previous year ending balance + current year deposit) * growth factor
= ($724.20 + $600) * 1.02
=$1,350.684
rounded: = $1,350.68 (This answer assumes no money has been withdrawn at any time.)
one model for the number of students enrolled in u.s. public high schools as a function of time since 1986 is the formula below.
As per the given model for number of students given as a function of time since 1986 and relevant since 2000 , the number of students in 2010 is 14.67 millions.
As given,
Number of students given by formula
N =-0.033t² +0.46t +13.37
N =enrollments of students in millions
t =time
Relevant since 2000 we have to calculate N(10) ,it means after 10 years that is 2010
N(10) =-0.033×(10)² +0.46×10 +13.37
=-3.3 +4.6 +13.37
=14.67 millions
Therefore, number of students in 2010 is 14.67 millions is the correct option for the given model.
The complete question is :
One model for the number of students enrolled in U.S. Public high schools as a function of time since 1986 is the formula below
N = -0.033t2 +0.46t + 13.37. Here N is the enrollment in millions of students, t is the time in years since 1986, and the model is relevant since 2000. Explain what does N(10) means
a. Year 2010, N = 14.67 millions
b. Year 2008 , N = 11.45 millions
c. Year 2010 , N = 12.32 millions
d. Year 2008 , N = 12.12 millions
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Selena rides her bicycle to work . it takes her 15 minutes to go 3 miles . if she continues at the same rate , how long will it take her to go
Answer:
5 minutes per mile
Step-by-step explanation:
15 divided by 3 = 5
In a zoo there are zebras and orangutans.
Altogether there are 36 heads and 100 feet.
How many zebras are there?
Answer:14 zebras 22 orangutans
Step-by-step explanation: 14x4=56 22x2=44 56+44=100
pay a $12 set up fee for club T-shirts plus $5 per shirt.
The math club had to
Formulate an equation. Let s represent the number of t-shirts and C the cost.
Answer:
Step-by-step explanation:
c=12+5t?
8. Which number is a solution of the
inequality 8-b≥ 27?
A -76
B-80
(C) -86
D-140
Answer:
All of the options.
Step-by-step explanation:
We first subtract 8 from both sides. We now divide both sides by -1. However, something to keep in mind, is when you multiply/divide by a negative number, you just flip the sign. In this case, we need to divide both sides of the equation by -1, to get b and our answer. So now, we need to find an answer from our answer choices that is smaller than -19. I think all of them would be right in this case, as they fit the equation. So all of them should be right (: As if you plug in the values, you get answers that could be solutions to the equation!
I hope this helps, have a blessed day!
At a sale, soccer cleats were sold for
$59.50. If the original price was :
$70, what
percentage of its original price were soccer
cleats sold for?
The percentage of its original price is -17.65%
How to determine the percentage of its original price?The given parameters are
Selling price = $59.50
Original price = $70
The percentage of the original price is calculated as
Percentage = (Selling price - Original price)/Original price * 100%
Substitute the known values in the above equation
So, we have
Percentage = (59.50 - 70)/59.50 * 100%
Evaluate the difference in the above equation
So, we have
Percentage = -10.5/59.50 * 100%
Evaluate the quotient in the above equation
So, we have
Percentage = -0.1765 * 100%
Evaluate the product in the above equation
So, we have
Percentage = -17.65%
Hence, the percentage of its original price is -17.65%
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Describe the meaning of a reflection. Select the two correct answers. A reflection can be done on a point, shape, or object. b A reflection is a perpendicular turn around a point. A reflection can change the measures of the angles of a figure. c A reflection flips a shape across a line. d A reflection changes the length of line segments.
Answer:
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
Step-by-step explanation:
how to find prime factorization.
find the prime factorization of 1530
Answer:
Factors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
Prime Factors of 1530 : 2 * 3 * 3 * 5 * 17
Mardi received an inheritance of $60,000. she investrf part at 11% and deposited the remainder in tax-free bonds at 12%. her total annual income from the investments was $6800. find the ammount invested at 11%.
When Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800as annual income then the amount invested at 11% is $20000
Given,
The total amount Mardi received = $60000
She invested part at 11% and deposited the remainder in tax-free bonds at 12%.
Annual income from the investment = $6800
Consider the part of money invested at 11% as x
Then the equation will become
(60000-x)0.11+0.12x =6800
6600-0.11x+0.12x =6800
0.01x+6600=6800
0.01x=200
x= $20000
Hence, when Mardi received an inheritance of $60000, she invested part at 11% and deposited the remainder in tax-free bonds at 12%, so she gets $6800 as annual income then the amount invested at 11% is $20000
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Help with problems 17 and 18 please and thank you
Answer: 17. Domain: x is all real numbers
Range: y>=0
18. r=2
Step-by-step explanation:
17. f(x)=|x-2|
|x-2|>=0
x-2>=0
x>=2
x-2=<0
x=<2
x can be less than, equal to, or greater than 2. Hence,
Domain: x is all real numbers
|x-2|>=0 ==> f(x)>=0
Hence, the range is:
Range: y>=0
18. m=(y2-y1)/(x2-x1)
2=(9-3)/(5-r)
2=6/(5-r)
2(5-r)=6
5-r=3
r=2
In am writing this because the app says the answer is to short :)))
TRUE OR FALSE? 0.75 is an irrational number
Answer:
FALSE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
0.75 has a finite number of digits and can be expressed in a fraction of integers.
0.75=75/100
75/100=3/4
The graph of the function f is shown. Find f(4).
-2 -1
S
4
w
2
1
-1
-2
-3
A
1
-2
B 0
C 2
D 5
2
4 5 6
The value of f(4) on the graph is 2
How to determine the value of f(4)?The figure (i.e. graph) represents the given parameter
The expression f(1) implies that we determine the value of f(x) when x = 1
On the graph, we have the following value:
When x = 4, f(x) = 2
This means that
f(4) = 2
Hence, the value of f(4) on the graph is 2
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Which expression of signed decimal numbers has a positive quotient?
Group of answer choices:
2.5 divided by negative 9.56
Negative 1.7 divided by negative 10.06
Negative 9.34 divided by 0.55
Negative 0.3 divided by 9.44
The quotient of an expression of signs decimal numbers is positive:
= 0.16.
The correct option is B.
Briefing:There is one key notion when dividing any negative integer by another: the negative signs cancel out. This is unique to this situation. A positive number divided by such a negative number equals a negative number. As a result, you can't divide any two numbers as well as expect a positive result. In general, negative and positive numbers behave differently.
According to the given data:For
a. 2.5 / -9.56
dividing the numbers we get:
= -0.26
For
b. -1.7 / -10.06
dividing the numbers we get:
= 0.16
For
c. -0.3 / 9.44
dividing the numbers we get:
= -0.03
For
d. -9.34 / 0.55
dividing the numbers we get:
= -16.98
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I understand that the question you are looking for is:
Which expression of signed decimal numbers has a positive quotient?
a. 2.5 / -9.56
b. -1.7 / -10.06
c. -0.3 / 9.44
d. -9.34 / 0.55
C. C. A different class is made up of 40â% women and has 20 women in it. What is the total number of students in theâ class?
Total number of students in a class is 50.
A class has 40% of women.
Total Number of women in a class = 20 equation 1
Let total number of students in a class = x
According to the question a class has 40% of women. Mathematically we can write it as,
Total Number of women in a class = 40 % of x
Total Number of women in a class = ( (40x) / 100 ) equation 2
On equating equation 1 and equation 2, we get
20 = ( (40x) / 100 )
⇒ 40x = 2000
⇒ x = 50
Total number of students in a class is 50.
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The length and the weight of 7 pipes are 24.5m and 43.3kg respectively, find the length and weight of 12 pipes
The length and the weight of the 12 pipe is found as 42 meters and 74.23 kg
What is referred as the unitary method?"It is a method in which we obtain the value of a single unit by subtracting the results of multiple units and thus the value of multiple units by subtracting the value of a single unit."We must first divide to discover the value of one thing, and then multiply to determine the significance of more or fewer things.As, per the given question;
For, the seven pipes, the length is 24.5m.
7 pipes ---------> 24.5 m.
For the one pipe, use unitary method for solving;
Divide the equation by 7.
1 pipe -------->24.5/7 m.
For 12 pipes, multiply with 12 on both sides.
12 pipes --------> 24.5×12/7 m.
12 pipes ---------> 42 m.
Thus, the length of the 12 pipes is 42 meters.
Now, calculate the weight.
For, the seven pipes, the weight is 43.3 kg.
7 pipes ---------> 43.3 kg.
For the one pipe, use unitary method for solving;
Divide the equation by 7.
1 pipe -------->43.3 kg./7
For 12 pipes, multiply with 12 on both sides.
12 pipes --------> 43.3 kg×12/7
12 pipes ---------> 74.23
Thus, the weight of the 12 pipes is 74.23 kg.
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What is the image point of (-6, 1) after a translation left 2 units and down 3 units?
Answer:
it is either -8,4 or -4,4
Step-by-step explanation:
i think this is it
A cylinder has a radius of 5 centimeters and a height of 8 centimeters. Describe how the following change affects the volume of the cylinder.
d. The dimensions are exchanged.
Answer:
no d
Radius is changed
Step-by-step explanation:
Determine the domain of the following graph
Answer:
5555555555555555555555555555
a turn consists of rolling a standard die and tossing a fair coin. the game is won when the die shows a $1$ or a $6$ and the coin shows heads. what is the probability the game will be won before the fourth turn? express your answer as a common fraction.
The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].
What is probability?Probability refers to the possibility of the occurrence of an event.
P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]
Now,
Probability of winning the game in first turn = [tex]\frac{1}{3}\frac{1}{2}=\frac{1}{6}[/tex]
Probability of losing the first game but winning the second one = [tex]\frac{5}{6}\frac{1}{6} = \frac{5}{36}[/tex]
Probability of losing the first two games but winning the third one = [tex]\frac{5}{6}(\frac{5}{6})\frac{1}{6} = \frac{25}{216}[/tex]
Thus, the probability of winning the game before fourth turn = [tex]\frac{1}{6}+\frac{5}{36}+\frac{25}{216}=\frac{91}{216}[/tex]
Hence, The probability that the game will be won before the fourth turn is [tex]\frac{91}{216}[/tex].
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evaluate the expression if a=3/4, b=-8, c=-2, d=3, and g=1/3
How does the simulation time (time for the circuit to compute the decimal value) change as the binary values get larger?
As you increase the input number size(increase the o. of bits) the simulator is going to perform more calculation to get the value of newly added bits by calculating 2^n (for nth bit!) and hence the running time complexity will increase exponentially .
What is an circuit?Electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected by conductive wires or traces that allow electric current to flow between them. It is a specific kind of electrical circuit, and in order for a circuit to be called electronic rather than electrical, there usually needs to be at least one active component present. Signals may be amplified, calculations can be made, and data can be transported from one location to another thanks to the combination of components and wires.
Although discrete components can be assembled into circuits and connected by single wires, it is now far more typical to use photolithographic processes to make interconnections on laminated substrates and solder the individual components to these linkages.
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It took clare 100 minutes to walk the east side of garden at a constant speed. if the total distance of the east side is 2,500 feet, at what speed was she walking? feet per minute
Answer: 25 ft per min.
Step-by-step explanation:
Time= 100 min.
Distance= 2500 ft.
Speed= 2500/100 = 25 ft per min.
If the triangle is translated 7 units to the right, then reflected over the x-axis, choose the quadrant the image will end up in and the correct coordinate for A'
Select 2 correct answers
Quadrant 2
Quadrant 3
Quadrant 4
A''(0, 3)
A''(1, -2)
Quadrant 1
A''(1, 2)
Answer:
Quadrant 4
A''(0, 3)
Step-by-step explanation:
Which equation describes the line with slope -2/3 that crosses the y-axis at the point (0, 4) ?
Answer:
In slope-intercept form:
[tex]y = - \frac{2}{3} x + 4[/tex]
Simplify the following expression: $\sqrt{28 + \sqrt{1296}}$
Answer:
I assumed you meant to write √28 + √1,296. The answer is 2√7 + 36.
Step-by-step explanation:
[tex]\sqrt{4 * 7} + \sqrt{1296} \\\sqrt{2^2 * 7} + \sqrt{1296}\\2\sqrt{7} + \sqrt{1296}\\ 2\sqrt{7} + \sqrt{36^2}\\= 2\sqrt{7} + 36[/tex]
The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x^2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g
The rule for the function g(x) is:
g(x) = 1.15*(x^2 - 3x -16)
How to write a rule for the function g?
First we know that the function f(x) is f(x) = x^2 - 7x
And we know that h(x) is a translation of 6 units down and 2 units to the left of f(x), then:
h(x) = f(x + 2) - 6
Now we know that g(x) is 115% of h(x), then we can write:
g(x) = 1.15*h(x)
Replacing h(x) by the rule above we get:
g(x) = 1.15*(f(x + 2) - 6)
Replacing the actual function there:
g(x) = 1.15*( (x + 2)^2 - 7*(x + 2) - 6)
g(x) = 1.15*( x^2 + 4x + 4 - 7x - 14 - 6)
g(x) = 1.15*(x^2 - 3x -16)
This is the rule for function g(x).
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Jeffrey caught 8 worms in his backyard. 4 worms had a length of 3 inches. The other 4 worms were all the same size. The total length of all the worms combined is 32 inches. Which equation below represents the lengths of all the worms?
A 4x + 3x = 324x + 3x = 32
B 4(x + 3) = 324(x + 3) = 32
C 4x + 3 = 324x + 3 = 32
D 3(x + 4) = 32
Option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.
We are given that:
Jeffrey has 8 worms
The 4 worms in it has the length of 3 inches.
The expression would become:
Length = 4 × 3
Also, we are given that the rest 4 worms are of equal length.
Let that equal length be x
The expression becomes:
Length = 4 × x = 4 x
Also, we are given that the total length of the worms = 32 inches.
The equation becomes:
32 = 3 × 4 + 4 × x
4 ( x + 3 ) = 32
Therefore, option (B) 4 ( x + 3 ) = 32 is the equation that represents the lengths of all the worms.
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Round 0.687 to the nearest hundredth
Answer:
0.69
Step-by-step explanation:
The 8 is in the hundredths place.
0.687 becomes 0.680, but since the leftmost digit dropped is a 7, the 8 goes up 1 to 9.
Answer: 0.69
Answer:
0.69
Step-by-step explanation:
Help! Geometry project parabolas part 3
Answer:
[tex](x-2)^2=4(y+5)[/tex]
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry
[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]
[tex]\textsf{Vertex}=(h, k)[/tex]
[tex]\textsf{Focus}=(h,k+p)[/tex]
[tex]\textsf{Directrix}:y=(k-p)[/tex]
[tex]\textsf{Axis of symmetry}:x=h[/tex]
If p > 0, the parabola opens upwards.
If p < 0, the parabola opens downwards.
From inspection of the given graph:
Vertex = (2, -5)Focus = (2, -4)Directrix: y = -6Axis of symmetry: x = 2Therefore:
h = 2k = -5k + p = -4 ⇒ -5 + p = -4 ⇒ p = 1k - p = -6 ⇒ -5 - p = -6 ⇒ p = 1Substitute the found values of h, k and p into the formula:
[tex]\implies (x-2)^2=4(1)(y-(-5))[/tex]
[tex]\implies (x-2)^2=4(y+5)[/tex]
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pick a symbol that goes in the blank (pls answer asap i will give brainliest)
3 -1 ___ 1/4
=
<
>
Answer:
>
Step-by-step explanation:
2 of course greater than quarter
Answer:
Step-by-step explanation:
goo ba i think its gobba