Answer:
A = $1,650.24
Step-by-step explanation:
A = P(1 + r/n)^nt
Where
A = future value
P = present value = $1,600
r = interest rate = 3.1% = 0.031
n = number of periods = 4
t = time = 1 year
A = P(1 + r/n)^nt
= 1,600( 1 + 0.031 / 4)^4*1
= 1600( 1 + 0.00775)^4
= 1600(1.00775)^4
= 1600(1.0314)
= 1,650.24
A = $1,650.24
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Which linear inequality is represented by the graph?
1 y 1/2x + 2
2 yx+2
3 y=x+2
4 y2 x + 2
Answer:
A
Step-by-step explanation:
The linear equation of inequality is y ≤ ( x/2 ) + 2
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The x intercept of the equation is when y = 0
So , A ( -4 , 0 ) is the x intercept
And , the y intercept is when x = 0
So , B ( 2 , 0 ) is the y intercept
Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted
Hence , the inequality is y ≤ ( x/2 ) + 2
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Parallel lines have_slopes. Perpendicular lines have_ _ slopes
AnswerStep-by-step explanation:
Parallel and Perpendicular Lines. Parallel lines have the same slope and will never intersect. ... On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 deg
The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths.
Answer:
28
Step-by-step explanation:
divide 869 by the number of days in January
Tina has two rectangular playpens to keep her new pet dogs. The first rectangle has a width of 6 feet and a length of x - 4 feet. The second rectangle has a width of 8 feet and a length of x + 2 feet. What is the sum of the two perimeters?
Answer:
4x+24 ft.
Step-by-step explanation:
Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.
Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.
Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?
Answer: 3
This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.
A football stadium is capable of seating a maximum of m fans. For each game, the
amount of money that the stadium brings in as revenue is a function of the number of
people, n, in attendance. If each ticket costs $30.00, what is the domain of this function?
Answer:
The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:
f(n) = $30.00*n
Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.
Now, for the function f(n), we have that:
The domain is the set of the possible values of n
The range is the set of the possible values of f(n).
We want to find the domain.
First, the minimum possible value of n is 0, the case where nobody purchases a ticket.
The maximum possible value of n is m, this is the case where the stadium is full.
Then the domain will be:
D= {n,m ∈ Z, 0 ≤ n ≤ m}
Where we imposed that n must be an integer number because n represents a whole quantity.
The domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.
Given information:
A football stadium is capable of seating a maximum of m fans.
People attending the game are n.
The cost of each ticket is $30.
The amount of money that the stadium brings in as revenue is a function of the number of people, n.
So, the money will be calculated based on the attendance of people which implies that n will be the independent variable of the function.
So, the revenue generated can be written as,
[tex]f(x)=30n[/tex]
Here, the value of n represents the domain of the function.
Now, the maximum number of people allowed in the stadium is m as there are only m seats.
Therefore, the domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.
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Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?
O 81 cm
O 162 cm
O 100 cm
O 58 cm
Answer:
RD = 162 cm
Step-by-step explanation:
LD = 2 RL = 2* 54 = 108
RD = RL + LD
RD = 54 + 108
RD = 162 cm
The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Point L is a centroid of the triangle FWD, If RL = 54 cm
From the centroid definition:
LD = 2RL
LD = 2×54 = 108 cm
RD = RL + LD
RD = 54 + 108
RD = 162 cm
Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.
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What happens when there is an unbalanced force acting?
This is for science
387/4300 as a percent
Answer:
9%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100. Hope this helps!
SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ
Answer:
the answer is d. x >=4
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
PLZ HELP! THIS IS THE LAST QUESTION! 75 PTS!!
Answer:
its b or d
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.
7. A checking account is
overdrawn by $10 on both Friday
and Saturday. By how much was
The account overdrawn?
If ray ST bisects ∠RSU and m∠TSU=43°, find m∠RSU.
Answer: 86 degrees
Explanation:
Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.
angle RSU = 2*(angle TSU)
angle RSU = 2*43
angle RSU = 86
hey can you pls help!!!
Answer:
60/4 if i get right can i please get brainliest?
Answer:
60 miles/ 4 gallons
Step-by-step explanation:
60 divided by 4 is 15
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
okaaaay. this is 10 units to the y axis...
Step-by-step explanation:
I NEED HELP WITH 3 MORE PROBLEMS
30 POINTS
Questions 2,3,4
Step-by-step explanation:
let, width= x
then length= x+5
if both are increased by 5 feet then
new width =x+5
and length = x+5+5=x+10
therefore
area =(x+5)×(x+10)
next are same as first one.Have a try.
Step-by-step explanation:
answer see in attachment
To estimate a number less than 5 we we should Round down for example 44 then 4 is less than 5 so it's estimated number is 40
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Thanks!!!!:)))))
Answer:
24.4
Step-by-step explanation:
Now please give me Brainiest.
science pls help I give brainliest
Answer:
rain
Step-by-step explanation:
its in the picture
5+5= what pllease help!!!!!!!!!!!! 10 points!
The equation - 2 (x + 1) = (y – 5)^2 is represented by which graph?
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
edge
6x^2 – 13x + 6 = 2x^2 solve using quadratic formula
Answer:
[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define equation
6x² - 13x + 6 = 2x²
Step 2: Rewrite in Standard Form
Subtract 2x² on both sides: 4x² - 13x + 6 = 0Step 3: Define
a = 4
b = -13
c = 6
Step 4: Solve for x/roots
Substitute: [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent: [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply: [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract: [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]And we have our final answer!
7. Solve the inequality.
4(x + 3) - 7 ≥ x + 3(x + 1) *
A. x<5
B. x > 3
C. no solution
D. all real numbers
Answer:
d) all real numbers
Step-by-step explanation:
Answer:
D. all real numbers
Step-by-step explanation:
4(x + 3) - 7 >= x + 3(x + 1)
4x + 12 - 7 >= x + 3x + 3
4x + 5 >= 4x + 3
5 >= 3 which is correct
so the solution are all real numbers.
I hope this helps you :)
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of the following amounts?
1 lb
3/4 lb
1/4 lb
Answer:
1. is the answer
Step-by-step explanation:
The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
The number of batch recipe calls for 1 / 2 lb of flour = 1 batch
And to calculate the number of batches , we use
The number of batch recipe calls for 1 lb of flour will be
1 / 2 lb of flours = 1 batch
Multiplying by 2 on both sides , we find the number of batches for 1 lb of flour
Therefore , 1 / 2 x 2 = 1 x 2
1 lb of flour = 2 batches
3 / 4 lb of flour is 1 x 3 / 4 = 2 x 3 / 4
= 3 / 2 batches
= 1.5 batches
1 / 4 lb of flour is 1 x 1 / 4 = 2 x 1 / 4
= 1 / 2 batches
= 0.5 batch
Hence , The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively
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PLEASE HELP FAST!!!!Match each description to the expression that can be used to represent it.
Answer:
The first box on the left goes to the middle box on the right! THe second box on the left goes to the first box on the right! And the last box on the left goes to the third box on the right!
Hope this helps and u understand it
Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct
Answer:
8 correct.
Step-by-step explanation:
80 / 100 = x / 40 (Since he got 80% INCORRECT you will subtract the value of x from 40)
100x = 80 x 40
x = 3200 / 100
x = 32
40 - 32 = 8
PLS HELP ASAP NO ONE HELPS ME PLSSSSSSSSS.
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y = -2x - 4
Step-by-step explanation:
-2 is our slope
-4 is our y intercept (the point which the line crosses the y axis)
Write and equation in slope-intercept form of the line that passes through the points
(-5,-12) and (1,6)
The equation is y=
Step 1: We need to use slope formula* to determine what m (or the slope) is.
[tex]m = \frac{6 - (-12)}{1 - (-5)}\\\\m = \frac{18}{6} = 3[/tex]
Step 2: Now we use this slope, ONE of the given points, and slope-intercept form** to determine b.
[tex]6 = 3(1) + b\\\\6 = 3 + b\\\\3 = b[/tex]
Step 3: The final answer can now be found by using the slope and y-intercept (or b) that we just found.
[tex]y = 3x + 3[/tex]
For Reference:
*Slope formula
[tex]m = \frac{y_{2} - y_1}{x_2 - x_1}[/tex]
*Slope-intercept Formula
[tex]y = mx + b[/tex]