The match was Hornet's vs Panthers
Hornets's scored 5 goals
Panthers won by 3 goals, this means that the panters scored 3 more goals than the Hornets.
That would be +3 goals.
Suppose that at age 25, you decide to save for retirement by depositing $95 at the end of every month in an IRA that pays 6.25% compounded monthly. How much will you have from the IRA when you retire at age 65? Find the interest.
1. At age 65 when you retire, you have (future value) $202,531.69 from the IRA.
2. The total interest earned on the monthly investment of $95 at 6.25% for 40 years is $156,931.69.
How is the future value determined?The future value, which represents the compounded value of the monthly investments, can be computed using the FV formula or an online finance calculator as follows:
Number of years = 40 (65 - 25)
N (# of periods) = 480 months (40 x 12)
I/Y (Interest per year) = 6.25%
PV (Present Value) = $0
PMT (Periodic Payment) = $95
Results:
Future Value (FV) = $202,531.69
Sum of all periodic payments = $45,600 ($95 x 480 months)
Total Interest = $156,931.69
Thus, the future value of the monthly investment is $202,531.69 with an interest of $156,931.69.
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< BackSee SolutionShow ExampleRecord: 1/3 Score: 1 Penalty: 1 offComplete: 11% Grade: 0%Brianna AllenFinding the Slope from PointsJon 03, 7:15:08 PMWhat is the slope of the line that passes through the points (4, -9) and (8, -3)?Write your answer in simplest form.
To obtain the slope of the line that passes through the two given points, the following steps are recommended:
Step 1: Recall the formula for the slope of a line that passes through any two points (x1, y1) and (x2, y2), as follows:
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]Step 2: Apply the formula to find the slope of the line that passes through the points (4, -9) and (8, -3), as follows:
[tex]\begin{gathered} \text{Given that:} \\ (x_1,y_1_{})=(4,-9) \\ (x_2,y_2)=(8,-3) \\ \text{Thus:} \\ \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow\text{slope}=\frac{-3_{}-(-9)_{}}{8_{}-4_{}}=\frac{-3+9}{4}=\frac{6}{4}=\frac{3}{2} \\ \Rightarrow\text{slope}=\frac{3}{2} \end{gathered}[/tex]Therefore, the slope of the line that passes through the points (4, -9) and (8, -3) is 3/2
Log^5(1/25)=-2 in exponential form
We'll use the follwowing property, which comes from the definition of a logarithm:
[tex]\log _ab=c\Leftrightarrow a^c=b[/tex]i.e, The logarithm with base a of b is c if, and only if a to the c power equals b.
Using this to translate
[tex]\log _5(\frac{1}{25})=-2[/tex]Into exponential form, will yield:
[tex]5^{-2}[/tex]Because:
[tex]5^{-2}=\frac{1}{25}[/tex]ANSWER:
[tex]5^{-2}[/tex]3 hours 6 minutes 45 seconds Plus 8 hours 55 minutes 20 seconds
12h 2 minutes and 5 seconds
1) Adding 3 hours 6 minutes and 45 seconds to 8 hours 55 minutes and 20 seconds we can write like this:
2) Every time we hit 60'' (seconds) we add to its neighbor then we can find the following sum.
1h ----60'
1 minute ----60''
3) Then the sum of those is equal to 12h 2 minutes and 5 seconds
the radius of a circle is 9 inches. what is the circumference?give the exact answer in simplest form.
Step 1
The circumference of a circle is given by;
[tex]2\pi r[/tex]where;
[tex]\begin{gathered} r=9in \\ \end{gathered}[/tex]Step 2
Find the circumference
[tex]\begin{gathered} C=2\times\pi\times9 \\ C=18\pi in\text{ches} \end{gathered}[/tex]Hence, in terms of π the circumference of the circle=18πinches
Answer each part. If necessary, round your answers to the nearest hundredth.х5?(a) At Hoffman's Bike Rentals, it costs $31 to rent a bike for 7 hours.How many dollars does it cost per hour of bike use?Il dollars per hour(b) A color printer prints 10 pages in 3 minutes.How many minutes does it take per page?minutes per pageCheck0 2021 McGraw Hill Education All Rights.
EXPLANATION
If it cost $31/7 hours, we can apply the unitary method to get the unit cost:
[tex]\text{unit price=}\frac{31\text{ dollars}}{7\text{ hours}}=4.42\text{ dollars/hours}[/tex]It will cost 4.42 dollars/hours
We can apply the same reasoning to the printer.
You have $73.50. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $99.99 and have $23.51 leftmuch money do you earn mowing lawns?
The question provides the following information;
Money at hand = 73.50
Money earned = x
Purchases made = 99.99
Money left over = 23.51
These sets of numbers can be put into an equation as shown below;
(73.5 + x) - 99.99 = 23.51
This equation means what you had at the beginning plus what earned from mowing lawns is a total of 73.5 + x. Subtract the cost of shoes purchased from this total and you'll now have a balance of 23.51
We can now solve for the money earned from mowing lawns as follows;
(73.5 + x) - 99.99 = 23.51
Add 99.99 to both sides of the equation (in order to isolate the 73.5 + x on the left side of the equation). You now have;
73.5 + x = 123.5
Next you subtract 73.5 from both sides of the equation (in order to isolate the x on the left hand side)
x = 50
This means the money earned from mowing lawns is $50
Which set of equations can be solved using the matrix equation:this is an online homework assignment I need help on for pre calculus
The given matrix equation is:
[tex]\begin{pmatrix}4 & -1 \\ -2 & -1\end{pmatrix}\begin{pmatrix}x \\ y\end{pmatrix}=\begin{pmatrix}-5 \\ -3\end{pmatrix}[/tex]To get the required equations, we will have to carry out the matrix multiplication, thus we have:
[tex]\begin{gathered} (4\times x)+(-1\times y)=-5 \\ (-2\times x)+(-1\times y)=-3 \end{gathered}[/tex][tex]\begin{gathered} 4x-y=-5 \\ -2x-y=-3 \end{gathered}[/tex]Hence, the correct option is option D
Need help asap thank you!
All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.
Domain and range: what are they?C = 9 + 7.34
One room costs = $7.34.
Charges of n room = Charges of one room × Number of Rooms
Charges of n room = 7.34 n
Reservation Room = $ 9
Total Cost (c) = Reservation Room + Charges of n room
C = 9 + 7.34
They only clean a maximum of 15 rooms.
Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
When n = 1 , C = 9 + 7.34 ×1 = 16.34
When n = 2 , C = 9 + 7.34 ×2 =23.68
When n = 3 , C = 9 + 7.34 ×3 =31.02
When n = 4, C = 9 + 7.34 ×4 =38.36
When n = 5 , C = 9 + 7.34 ×5 = 45.7
When n = 6, C = 9 + 7.34 × 6 = 53.04
When n = 7 , C = 9 + 7.34 ×7 = 60.38
When n = 8 , C = 9 + 7.34 ×8 =67.72
When n = 9 , C = 9 + 7.34 × 9 =75.06
When n = 10, C = 9 + 7.34 ×10 = 82.4
When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74
When n = 12 , C = 9 + 7.34 ×1 2 = 97.08
When n = 13 , C = 9 + 7.34 ×1 3 = 104.42
When n = 1 4, C = 9 + 7.34 ×14 = 111.76
When n = 1 5, C = 9 + 7.34 ×15 = 119.1
C = 9 + 7.34
Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}
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9 + 4 + (-1) +(-1) +...+ (-546) = 0X X80Σ (-3 + 10) = 0E=1
Answer
The sum of the sequence = -30072
Explanation
We are given a sequence of numbers and asked to find the sum of the terms up until the last term given. The sequence given is
9, 4, -1,.............., -546
On careful observation of this sequence, we can see that it is an arithmetic progression with a common difference of -5 between consecutive terms.
Common difference = (n + 1)th term - nth term
= 4 - 9 Or -1 - 4
= -5
For an arithmetic progression, the formula for the last term is given as
Last term = a + (n - 1)d
where
L = last term = -546
a = first term = 9
n = number of terms in the sequence = ?
d = common difference = -5
So, we can solve for the number of terms
-546 = 9 + (n - 1)(-5)
-546 = 9 - 5n + 5
-546 = 14 - 5n
14 - 5n = -546
-5n = -546 - 14
-5n = -560
Divide both sides by -5
(-5n/-5) = (-560/-5)
n = 112
We can now use the formula for the sum of an arithmetic progression to find the sum of this sequence.
[tex]\text{Sum of an A.P. = }\frac{n}{2}\lbrack2a+(n-1)d\rbrack[/tex]We know all of these parameters now
Sum of this AP = (112/2) [(2 × 9) + (112 - 1)(-5)]
= 56 [18 + (111 × -5)]
= 56 [18 - 555]
= 56 [ -537]
= -30072
Hope this Helps!!!
Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 1)(x - 3)(x - 4) 3 f (x) = (x - 6)2(x + 2)2
Answer:
(x + 1)(x - 3)(x - 4) 3 f (x) = (x - 6)2(x + 2)2
Step-by-step explanation:
Which function has an inverse that is also a function?{(-1 -2). (0, 4). (1 3). (5, 14). (7, 4)}{(-1. 2), (0.4), (1.5). (5. 4). (7.2)} {(-1.3), (0.4). (1. 14), (5. 6). (7. 2)} {-1 4), (04). (1.2). (5.3). (7.1)
Remember that a function is a relation between two sets of numbers where the first set is called domain, and the second set is called range.
The main characteristic that defines a function is that a domain element can be associated with only one element of the range set. In other words, one input value cannot have two different output values.
Therefore, the right answer is the third choice
[tex]\left\lbrace (-1,3\right)(0,4)(1,14)(5,6)(7,2)\}[/tex]Because this represents a function and its inverse also represents a function, that is, it's inverse have the characteristic of a function. The following set represents the inverse
[tex]\left\lbrace (3,-1\right)(4,0)(14,1)(6,5)(2,7)\}[/tex]As you can observe, this inverse set also follows the function definition, because every single input is associated with only one output.
Find the area of each figure. Round to the nearest 10th if necessary.
1.
First, divide the figure into 3 different figures.
Find the area of each figure, and then add them:
A1 is a rectangle:
Area of a rectangle: Lenght x width
A1 = 8 x 5.3 = 42.4 in2
A2 is also a rectangle:
Lenght = 4
width = 8 - 5.3 = 2.7
A2 = 4 x 2.7 = 10.8 in2
A3 is a triangle:
Area of a triangle = (base x height) / 2
base = 2.7
Height = 8-4 = 4
A3= ( 2.7 x 4 ) / 2 = 5.4 in2
Total area = A1 + A2 + A3 = 42.4 + 10.8 + 5.4 = 58.6 in2
Answer = 58.6 in2
if a triangle has side lengths of 4x + 6, 6, and 5x; what is the perimeter
Aaquib can buy 25 liters of regular gasoline for $58.98 or 25 liters of permimum gasoline for 69.73. How much greater is the cost for 1 liter of premimum gasolinz? Round your quotient to nearest hundredth. show your work :)
The cost for 1 liter of premium gasoline is $0.43 greater than the regular gasoline.
What is Cost?This is referred to as the total amount of money and resources which are used by companies in other to produce a good or service.
In this scenario, we were given 25 liters of regular gasoline for $58.98 or 25 liters of premium gasoline for $69.73.
Cost per litre of premium gasoline is = $69.73 / 25 = $2.79.
Cost per litre of regular gasoline is = $58.98/ 25 = $2.36.
The difference is however $2.79 - $2.36 = $0.43.
Therefore the cost for 1 liter of premimum gasoline is $0.43 greater than the regular gasoline.
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A store manager or tshirts so that 15 out of every 35 are a medium. How many medium Tshirts would you expect to find when there are 126 T-shirt's on a rack?
Given:
Out of every 30 t-shirts, 15 are medium.
Let's find the number of medium t-shirts you expect to find when there are 126 t-shirts on a rack.
We have:
35 t-shirts = 15 medium
126 t-shirts = x medium
Now, let's solve for x.
Apply the proportioanlity equation:
[tex]\frac{35}{15}=\frac{126}{x}[/tex]Cross multiply:
[tex]\begin{gathered} 35x=126\times15 \\ \\ 35x=1890 \end{gathered}[/tex]DIvide both sides by 35:
[tex]\begin{gathered} \frac{35c}{35}=\frac{1890}{35} \\ \\ x=54 \end{gathered}[/tex]Therefore, there will be 54 medium t-shirts when there are 126 t-shirts.
ANSWER:
54
Tell whether the sequence is arithmetic. If it is what is the common difference? Explain.
{1, 5, 9, 13, …}
The sequence is arithmetic because the common difference is 4.
Answer:
the sequence is arithmetic. the cd is 4
Step-by-step explanation:
1 + 4 = 5
5 + 4 = 9
9 + 4 = 13
price of gas at store was 4.29 per gallon the next week it went up .55 and down .25 and back up 8.30 and finally it went down$.15 what is the price per gallon now
The final price of gas per gallon after number of reduction and increment is $12.74.
Given,
The price of gas at store = 4.29 per gallon
The increased amount of gas = 0.55
The new price of gas = 4.29 + 0.55 = 4.84 per gallon
Then decreased 0.25. So, the price of gas = 4.84 - 0.25 = 4.59 per gallon
Again the price increases 8.30 and the new price become, 4.59 + 8.30 = 12.89 per gallon
Then, the price of gas finally went down to .15.
Therefore, the price of gas now is:
12.89 - 0.15 = 12.74
That is, the final price of gas per gallon after number of reduction and increment is $12.74.
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I need to use substitution to solve each system of equations then use ordered pairs
From the given question
There are given that the equation
[tex]\begin{gathered} 2x+5y=38\ldots(1) \\ x-3y=-3\ldots(2) \end{gathered}[/tex]Now,
From the equation (1)
[tex]\begin{gathered} 2x+5y=38 \\ 2x=38-5y \\ x=\frac{38}{2}-\frac{5}{2}y \\ x=19-\frac{5}{2}y\ldots(3) \end{gathered}[/tex]Then,
Put the equation (3) into the equation (2)
So,
[tex]\begin{gathered} x-3y=-3 \\ 19-\frac{5}{2}y-3y=-3 \\ 38-5y-6y=-6 \\ 38-11y=-6 \\ -11y=-6-38 \\ -11y=-44 \\ y=4 \end{gathered}[/tex]Then,
Put the value of y into the equation (3)
So,
[tex]\begin{gathered} x=19-\frac{5}{2}y \\ x=19-\frac{5}{2}(4) \\ x=19-\frac{20}{2} \\ x=19-10 \\ x=9 \end{gathered}[/tex]Hence, the value of x is 9 and y is 4.
5. Use a number line to find the product: 5 x (-3)=
First, we solve the expression.
Since it is a negative number we have to place it 15 places to the left ( from zero)
If m ll n, which statement is true? 3 1 5 2. 4 6 O A.
∠1 and ∠2 have equal measures because they are corresponding angles
A cell phone regularly sells for $210 is on sale for 30% off. With this discount, find the sale price. Round to the nearest cent if necessary
To know the price to
the table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched. describe the scale you can use on X and Y axes of a coordinate grid that would show all of the distances and weights in the table
Here the values are proportional to each other.
Proportionality ratio is,
[tex]\frac{20}{28}=\frac{5}{7}[/tex]Then scale on X-axis representing weight in Newton is 1 unit is equal to 7 Newton
And on the the Y axis representing distance in cm is 1 unit is equal to 5 cm.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(x+9)°
42°
104°
Answer:
Step-by-step explanation:
first do 104 + 42 it should be 146
second since it is x+9 do 146 - 189, it should be 43.
third check your work by doing 43 + 146
if it equals 189 then do 43 - 9, you should get 34
so x = 34
JACKSON WORKS AS A DISHWASHERAT A RESTAURANT DOWNTOWN. HEEARNS $8.56 PER HOUR. IF HEWORKED 25.5 HOURS LAST WEEK,HOW MUCH DID HE EARN?
Gathering the data
$8.56 h
25.5 per hour
2) Assuming Jackson does not get any tips or extra money for his job.
Let's calculate it.
M=8.56 (25.5)
M=218.28
So Jackson earned $218.28 last week for his 25.5 working hours, at the restaurant.
The domain of a function is all whole numbers between 2.5 and 7.5. Can you represent the domain using set-builder notation in more that one way? Explain
The set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.
In the Set Builder form , a statement or expression is used to represent all the elements of the set .
In the question ;
it is given that
the domain of the function is all whole numbers between 2.5 and 7.5 .
the set of whole numbers is represented by W.
Since the numbers between 2.5 and 7.5 are included , so "<" will be used .
The Set Builder notation is Domain = {x: x∈W , 2.5<x<7.5 } .
Therefore , the set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.
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At a local market, 3 apples and 2 pears cost $2.70. Three apples cost the same as 4 pears. Type a system of equations to find the cost for one apple and the cost for one pear.
Data:
Apple: A
Pears: P
3A+2P=$2.70
3A=4P
to find the cost for one apple:
Probability knowledge check (this is math not chemistry I am looking at the tab correctly)
Given: The odds in favor of receiving a gift are 4/19.
Required: To determine the probability of receiving a gift.
Explanation: The probability of an event A that has an odd of happening as A/B can be calculated as
[tex]P(A)=\frac{A}{A+B}[/tex]Here A=4 and B=19. Putting the values, we get,
[tex]\begin{gathered} P(A)=\frac{4}{4+19} \\ =\frac{4}{23} \\ \end{gathered}[/tex]Final Answer: The probability of Brian receiving a gift is 4/23.
solve the absolute value inequity lx-5l>_ 1
We are given the following the following inequality:
|x - 5| >= 1
When we have a inequality in the format:
|f(x)| >= a
There are two possible solutions.
Either f(x) <= -a or f(x) >= a
In this question:
|x - 5| >= 1
x - 5 <= -1
x <= -1 + 5
x <= 4
Or
x - 5 >= 1
x >= 1 + 5
x >= 6
In interval notation, the answer is:
[tex](-\infty,4\rbrack\cup\lbrack6,+\infty)[/tex]The solution on the number line is:
If the rectangle below were to be enlarged by a scale factor of 5, what would the new size be? 2 10 x 15 10 X 6 8 X 15 Od 2 X 3
To dilate a shape by a determined scale factor, you have to multiply each side of the said shape by the scale factor.
The figure is a rectangle with length l=3 and width w=2, to enlarge it using factor 5, you have to multiply both lengths by 5:
[tex]\begin{gathered} l=3\cdot5 \\ l=15 \end{gathered}[/tex][tex]\begin{gathered} w=2\cdot5 \\ w=10 \end{gathered}[/tex]After dilating the rectangle by scale factor 5, the new size will be 10 x 15