The amount to invest on January 1st so that you have $1000 by June 1st of the same year is $992.54
What is monthly compounding?
Monthly compounding means that the interest is computed every month, in essence, the interest in January, March and May would be 1% divided by 12 months in a year whereas the interest in February, April, would be 3% divided 12 months making a year.
FV=PV*(1+r1)*(1+r2)*(1+r3)+(1+r4)*(1+r5)
FV=the future value June 1st of the same year=$1000
PV=the amount that needs to be invested=unknown
r1=January interest rate=1%/12=0.00083333333333
r2=February interest rate=3%/12=0.0025
$1000=PV*(1+0.00083333333333
)*(1+0.0025
)*(1+0.00083333333333
)*(1+0.0025
)*(1+0.00083333333333
)
$1000=PV*1.00752085996961
PV=$1000/1.00752085996961
PV=$992.54
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Simplify the following expression:
3[(x³ -7x+1)-(x+4)]
I don't have many points but I will make brainliest, thank you !!
Answer: The answer for question 48. is -9, The answer for question 49. is 1/2, the answer for question 50. is -2.25, and for question 51 it's 4/5
Step-by-step explanation:
How to solve question 48
1/2(-12-6)-3(5-3)
-6+3-15+9
-3-6
-9
How to solve question 49
(20/2)+10/(-10+20+30)
10+10/40
20/40
1/2
How to solve question 50.
3/4(-15+4)+(8+7)/(-3)
-45/4+3+15/-3
-11.25+3+15/-3
6.75/-3
-2.25
How to solve question 51
5(7)-(3+4)/-2^2-2^2+3^2
35-7/4+4+27
28/35
4/5
Hope this helped owo
Given m n, find the value of x.
The value of x from the given parallel lines, using corresponding angles concept, we get 32°.
Given that, straight line m parallel to straight line n and t is the transversal.
The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Here, x°=32°
Therefore, the value of x from the given parallel lines is 32°.
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help plsssssssssssssssssssssssssssss
Answer:
8.3x10^1
Step-by-step explanation:
you don't even need to do any math for this question. just look for the number between 1 and 10
Graph the following line
X=0
Answer:
the line runs that aligns with the y-intercept
Step-by-step explanation:
You are to move from A to B, always moving
right or down along the lines. On how many
different paths can you go? [The number of paths
from A to various intersections has been included.
Answer:
70
Step-by-step explanation:
You want the number of paths from corner to corner on a 5×5 grid with no backtracking.
Pascal's triangleThe geometry of the problem matches that of Pascal's triangle, attached.
In the attached figure, the value at each node is the sum of the values above and to the left. This matches the counting process for paths that can be used to get to any particular point on the grid: the total number of ways to get there is the sum of the ways it can be approached from above and the ways it can be approached from the left.
The given grid has some numbers filled in. If we continue to assign values to nodes that are the sum of the values above and to the left, we find the node values match the upper left 5×5 array of values in the attachment.
The value at the lower right corner of that array is 70. That is, ...
there are 70 ways to get from A to B.
__
Alternate solution
The path taken will always have 8 steps. Of those, 4 must be to the right, and 4 must be down. The number of ways we can choose 4 of those 8 steps to be steps to the right is "8 choose 4" ...
C(8,4) = 8!/(4!(8-4)!) = (8·7·6·5)/(4·3·2·1) = 70
Of course, using Pascal's triangle is simply another way to find the value of C(n,k).
Use mental math strategies to solve the equation.
3,500 +
Choose...
= 3,500
Part B
Which property of addition does the equation show?
A.
Associative Property of Addition
B.
Commutative Property of Addition
C.
Distributive Property of Addition
D.
Identity Property of Addition
Answer:
the answer would be A
Bryan, Michael, and Han are painting a house. Working together, they can paint the house in 6 hr. Working alone, Bryan can paint a similar sized house in 15 hr and Han can paint a similar sized house in 18 hr. How many hours would it take Michael to paint a similar sized house working alone? Enter the answer to the nearest tenth.
Answer:
Step-by-step explanation:
11x+90=15x
The computation shows that Michael will take 22.5 hours to paint a similar sized house working
How to compute the value?Based on the information given, the appropriate equation to use will be:
= 1/15 + 1/18 + 1/Michael = 1/6
Add the two fractions on the left
11/90 + 1/Michael = 1/6
1/Michael = 1/6 - 11/90
Take the reciprocal
Michael = 45/2
Michael= 22.5
Michael will take 22.5 hours.
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100 points!!! Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Multiply or divide as indicated.
x^10/x^4
Answer:
[tex]x^{6}[/tex]
Step-by-step explanation:
To simply exponents in a fraction, subtract the exponent for each variable in the denominator from the exponent in the numerator.
Answer:
[tex]x^6[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{x^{10}}{x^4}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies \dfrac{x^{10}}{x^4}=x^{(10-4)}=x^6[/tex]
What are the first five terms in the arithmetic sequence with the recursive formula below?
a1=5
an=an-1+4
Therefore the first five terms are 5, 9, 13, 17, and 21.
Given the first term is 5
a₁ = 5
Given the recursive formula of an arithmetic sequence is
aₙ = aₙ ₋ ₁ + 4
We have to find the first five terms of the arithmetic sequence below
a₂ = a₂ ₋ ₁ + 4
= a₁ + 4
= 5 + 4
= 9
a₃ = a₃ ₋ ₁ + 4
= a₂ + 4
= 9 + 4
= 13
a₄ = a₄ ₋ ₁ + 4
= a₃ + 4
= 13 + 4
=17
a₅ = a₅ ₋ ₁ + 4
= a₄ + 4
= 17 + 4
= 21
Therefore the first five terms are 5, 9, 13, 17, and 21.
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Urgent (I added 35 points)
The diagram below is drawn on a one-centimetre square grid
Work out the area of the shaded triangle:
Answer:
rr
Step-by-step explanation:
xd
ddddd
Jsut need the answer please
Answer:
h(t) decreases by a factor of 1.95
Step-by-step explanation:
- 1.95
h(t) decreases by a factor of 1.95
Which expression represents 7/21
14. Error Analysis Adam is asked to construct the
bisector of R. Explain the error in Adam's work.
MP.3
R
X
TOPIC 1 Foundations of Geometry
Option C) is correct which is Adam started the construction at the wrong place. He should have started at point R and drawn an arc across both rays.
According to the question we can see that Adam first draws an arc on a line and draws the bisector, which gives him the error.
We know that when we construct an angle bisector, first we put the compass on the point of the angle and make an arc and from that arc we make two arcs that intersect at a point. Then we draw a ray from the point of angle to that intersecting point which gives us the angle bisector.
Here Adam didn't draw the arc from point R.
Thus, Adam started the construction at the wrong place. He should have started at point R and drawn an arc across both rays.
Hence option C) is the correct option.
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AC=64A, C, equals, 64, A B = 7 x + 8 AB=7x+8A, B, equals, 7, x, plus, 8, and B C = 3 x + 6 BC=3x+6B, C, equals, 3, x, plus, 6, Find B C BCB, C.
The numerical length of BC is 36
How to determine the numerical length of BC?The given parameters are:
AC= 64, AB = 7x + 8, and BC = 3x + 6.
The above means that the point B is between points A and C
So, we have
AC = AB + BC
Substitute the known values in the above equation
64 = 7x + 8 + 3x + 6
Evaluate the like terms
10x = 50
Divide both sides by 10
x = 5
Substitute x = 5 in BC = 3x + 6
So, we have
BC = 3 x 10 + 6
Evaluate
BC = 36
Hence, the numerical length of BC is 36
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Complete question
AC= 64, AB = 7x + 8, and BC = 3x + 6. Find BC
what is eight times the square a number z minus three in mathematical translate?
Answer:
8*z^2-3
Step-by-step explanation:
There are 5 one-digit numbers in a set of data. The mean is 3, the mode is 1, and the median is 4. What are the numbers in the set of data?
Select all the equations that have the same as 3x - 12 = 24
The equations that have the same solution as 3x - 12 = 24 include:
a. 15x - 60 = 120C. 3x = 36d. x - 4 = 8Given data
3x - 12 = 24
How to find the solution of the given expression3x - 12 = 24
3x = 24 + 12
3x = 36
x = 36 / 3
x = 12
substituting the value of x in the equations to get to check if the value is same for the given question
a. 15x - 60 = 120
15 * 12 - 60 = 120
180 - 60 = 120
120 = 120 correct
b. 3x=12
3 * 12 = 12
36 ≠ 12 incorrect
C. 3x = 36
3 * 12 = 36
36 = 36 correct
d. x - 4= 8
12 - 4 = 8
8 = 8 correct
e. 12x - 12 = 24
12 * 12 - 12 = 24
144 - 12 = 24
132 ≠ 24 incorrect
Hence we can say that the equations that have same solution as the given equation are options A, C, and D
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complete question
The complete question is attached
m∠DBC=(12x-18) and m∠ABD=(8x+30) what is the value for x ?
The value of x is 12.
Given that the angles are m∠DBC=(12X-18) and m∠ABD=(8x+30).
An angle is made when two rays are joined together at any common point.
We will find the value of x by equating both the given angles as
m∠DBC=m∠ABD
Now, we will substitute the values of angles as
12x-18=8x+30
Further, we will subtract 18 from both sides and simplify it as
12x-18+18=8x+30+18
12x=8x+48
Now, we will subtract 8x from both sides and simplify as
12x-8x=8x+48-8x
4x=48
Now, we will divide both sides by 4, we get
4x/4=48/4
x=12
Hence, the value of x when m∠DBC=(12x-18) and m∠ABD=(8x+30) is 12.
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Write a function g whose graph represents the
indicated transformation of the graph of f.
f(x)=2x-9; translation 6 units up
The translated function is g(x) =
Answer: g(x)=2x-3
Step-by-step explanation:
f(x)=2x-9
g(x)=2x-9+6 ==> Translate 6 units up
g(x)=2x-3
If the sum of a number and three is tripled the result is one less than twice the number. Find the number.
The number in the equation is -10.
Given,
The sum of a number and three is tripled the result is one less than twice the number.
We can take the number as x.
Then,
3(x + 3) = (2x - 1)
Equate the above equation and find x.
3x + 9 = 2x - 1
Add -2x to both sides:
That is,
3x - 2x + 9 = 2x - 2x - 1
x + 9 = -1
Add -9 to both sides:
We get,
x + 9 - 9 = -1 - 9
x = -10.
That is, the number in the equation is -10.
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the coordinates of a point in the solution set y> -x -1 y>1/3x-5
Answer:
this is not the answering phone num I was just saying I don't know how many people are going to get it
39,004 in expanded form
30,000 9,000 4 this it the answer to your question
|4y - 10| = 20 for all values of y in simplest form.
Answer: -5/2
Step-by-step explanation:
4y−10∣=20
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. ∣4y−10∣=20 Use the definition of absolute value.
4y−10=20
4y−10=−20
Add 10 to both sides of the equation. 4y=30 which then equals 4y=−10
Divide both sides by 4 to get y = 15 over 2 converted to y = negative 5 over 2
(hope this is helpful)
1) In Blind Lake, the fish population is estimated to be 6,000 this
year. At the beginning of each year, the lake is stocked with 1,000
fish. By the end of the year, 800 more fish have died or been
caught. What will the estimated fish population be in 4 years?
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).
What is the range of the function f(x) = 3x2 + 6x – 8?
{y|y ≥ –1}
{y|y ≤ –1}
{y|y ≥ –11}
{y|y ≤ –11}
TIME REMAINING
22:14
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
1) (c) The range of the function f(x) = 3x² + 6x - 8 is {y|y ≥ –11}.
2) (d) The x-intercepts of the graph of the function f(x) = x² + 4x - 12 are ( - 6, 0) and ( 2, 0 ).
1). A parabola opens upward and it passes through ( - 3, 0) and ( 1, 0), and has vertex at ( - 1, - 11 ).
We have the function for the parabola f(x) = 3x² + 6x - 8.
Vertex and the coefficient of the quadratic term are two features of a parabola that aid in determining its range.
Therefore, the critique point of the range and a portion of the constraint is the vertex's vertical coordinate. The next step is to determine if the parabola is concave up or down. The parabola is concave up in this issue if the coefficient of the quadratic terms is positive. As a result of the parabola's concave upward shape, all real numbers greater than - 11 fall into the function's permissible range.
Hence, the range of the function is {y|y ≥ –11}.
2). The graph of the function with the equation f(x) = x² + 4x - 12 is a parabola that opens upward, passes between the points ( - 6, 0) and ( 2, 0), and its vertex is at ( - 6, 0). ( - 2, - 16). It is the y-intercept ( 0, - 12).
The x-intercepts are the locations where the graph and x-axis meet. The y-coordinate of these points is always zero. A parabola can only have two x-intercepts at most. As we can see, the parabola passes through the points ( - 6, 0) and ( 2, 0), and have y coordinates 0, hence the x-intercepts are ( - 6, 0) and ( 2, 0).
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The complete question is mentioned below:
1. On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).
What is the range of the function f(x) = 3x² + 6x – 8?
(a) {y|y ≥ –1}
(b) {y|y ≤ –1}
(c) {y|y ≥ –11}
(d) {y|y ≤ –11}
2. On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).
What are the x-intercepts of the graph of the function f(x) = x² + 4x – 12?
(a) (-6, 0), (2,0)
(b) (-2, -16), (0, -12)
(c) (- 6, 0), ( - 2, - 16),
(d) ( 2, 0) (0, -12),
(e) ( - 6, 0), (2, 0)
You need to make 12 servings of fried fish. Each serving takes 7.5 ounces of flour. How many ounces of flour do you need?
Does this graph show a function? Explain how you know.
A. Yes; the graph passes the vertical line test.
B. No; there are y values that have more than one x-value.
C. Yes; there are no y-values that have more than one x-value.
D. No; the graph fails the vertical line test.
Answer:
No
Step-by-step explanation:
A function has to pass the vertical line test, meaning that if you put a vertical line anywhere on the graph then the line will only intecert the funtion once. Buy in this graph it intercests twice.
given the data in the table below, determine the value of a and b in the model y = a +bx and hence find the value of y when x = 12
X 2 3 4 5 6 8
Y 5 6 8 9 10 12
The equation that models the data will be y = 3 + x and for x = 12, y will be 15.
We are given the equation:
y = a + b x
Also, we have some points of the equation as:
X 2 3 4 5 6 8
Y 5 6 8 9 10 12
For the point ( 2 , 5 ), we have the equation as:
5 = a + b ( 2 )
5 = a + 2 b
a = 5 - 2 b …(1)
For the point (3 , 6), we have the equation as:
6 = a + b (3)
6 = a + 3 b
a = 6 - 3 b …(2)
From (1) and (2), we get that:
5 - 2 b = 6 - 3 b
3 b - 2 b = 6 - 5
b = 1
a = 5 - 2
a = 3
So, the equation will become:
y = 3 + x
For x = 12, we get the value of y as:
y = 3 + 12
y = 15
Therefore, we get that, the equation that models the data will be y = 3 + x and for x = 12, y will be 15.
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When turning the decimal to a fraction how do I do that? I’m confused
Ok so I was very confused on this too. Not even going to lie to ya, I struggled with this for a long time. However once you get the hang of it, it's actually rather simple.
So, lets try a problem. What is 0.04 as a fraction?
Well, we know that 0.04 is 4%. And you can do [tex]\frac{4}{100}[/tex] which is 0.04, or 4%
Does that make sense? If not let me explain it a little more.
Well basically all you have to do is put that number over 100.
Here are some examples of decimals to percentage to fraction:
0.5 = 50% = [tex]\frac{50}{100}[/tex] or in simplest form [tex]\frac{1}{2}[/tex]
0.11 = 11% = [tex]\frac{11}{100}[/tex]
0.03 = 3% = [tex]\frac{3}{100}[/tex]
I really hope this helped you!!!
If not let me know how i can explain it and what doesn't make sense!
Answer: To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, [tex]\frac{6}{10}[/tex]. If needed, simplify the fraction.
Step-by-step explanation: