So, to set up your equation is the hardest part. If you remember the basic format, you're set.
I(t) = P * (1+r%)^t
t= time and this will be our variable
Initial amount P = $2740
Rate = 4.3% which converts numerically into .043
I(t) = 7000
Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.
I(t) = $2740(1+4.3%)^t
I(t)=2740(1.043)^t
Now plug in for $7000 for I(t)
7000=2740(1.043)^t Divide both sides by 2740
7000/2740 = 2740/2740(1.043)^t
2.55474453=(1.043)^t
Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.
In your calculator you can set up:
ln(2.55474453)/ln(1.043) = t which is the method I prefer since it's much simpler
t=22.278528
but you can also graph it in your ti-84
with
y1=2.55474453
y2=(1.043)^x
and find where they intersect on the graph.
either way it'll be the same answer
The local bakery uses 17.5 cups of flour in each batch of cookies the bakery you 5.25 cups of flour this morning if there are five dozen cookies in each bag how many cookies did the bakery make?
how to do multiplication of fractions -6 and 3 on a number line
-6 *3=-18 .
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helppppppppppppppppppppp
Suppose they spent $74.95 for 5 bags. How much does one bag cost?
Expand the expression (5x + 3)2, and write the result in standard form.
A.
25x2 + 9
B.
25x2 + 15x + 9
C.
25x2 + 24
D.
25x2 + 30x + 9
[tex](5x+3)^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(5x)^2+2(5x)(3)+3^2\\\\=5^2x^2+30x+9\\\\=25x^2+30x+9\to D.[/tex]
Answer:
option D is correct
The result in standard form is,
[tex]25x^2+30x+9[/tex]
Step-by-step explanation:
The standard form of the equation is given by:
[tex]y = Ax^2+Bx+C[/tex] where, A, B and C are the coefficient and x is the variable.
Using the identity rule:
[tex](a+b)^2 = a^2+2ab+b^2[/tex]
Expand the expression:
[tex](5x+3)^2[/tex]
Apply the identity rule:
[tex](5x)^2+2(5x)(3)+3^2[/tex]
⇒[tex]25x^2+30x+9[/tex]
The result in standard form is, [tex]25x^2+30x+9[/tex]
Therefore, the result in standard form is, [tex]25x^2+30x+9[/tex]
Samantha has 23 strawberries and wants to put 4 strawberries into each bowl. How many bowls can Samantha put exactly 4 strawberries into? A. 3 B. 4 C. 5 D. 6
4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.
Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.
Hope it helped. :)
~Noodles~
Deon plans to ride a 15-mi bicycle trail. If his average is 20mi/h, with equation can he use to find the time T, in hours, for the ride ?
Distance traveled by Deon to ride a bicycle trail = 15 mile
Average speed of Deon to ride a bicycle trail = 20 mi/hour
Let 'T' be the time taken to ride the bicycle trail.
We will use distance speed formula to write the equation to find the time 'T' in hours, for the ride.
Distance =[tex]\frac{Speed}{time}[/tex]
[tex]15 = \frac{20}{T}[/tex]
So, [tex]T = \frac{20}{15}[/tex]
This equation will be used to find the time 'T' in hours for the ride.
What is 765,903 rounded to the nearest ten thousand
3 has a value of 'ones'
0 has a value of 'tens'
9 has a value of 'hundreds'
5 has a value of 'thousands'
6 has a value of 'ten thousands'
Rounding up 6, its greater than 5 so add 1 to 7 and make all the other figures zero to give:
Answer = 800,000
Answer:
765,903 rounded to the nearest 10,000 is 770,000.
Step-by-step explanation:
If it were rounded to the nearest thousand it would be 766,000, but 6 is not rounded, so it has to be rounded up to the next 10,000.
Please hel 15 points!
parent graph: f(x) = |x|
shifted 6 units down: f(x) = |x| - 6
then shifted 4 units to the right: f(x) = |x - 4| - 6
then vertically stretched by 2: f(x) = 2|x - 4| - 6
This means the vertex (0, 0) has moved to (4, -6) and the slope is 2
**************************************************************************************
f(x) = |x| f(x) = 2|x - 4| - 6
x y x y new coordinate
-2 2 -2 + 4 = 2 2(2) - 6 = -2 (2, -2)
-1 1 -1 + 4 = 3 1(2) - 6 = -4 (3, -4)
0 0 vertex 0 + 4 = 4 0(2) - 6 = -6 vertex (4, -6)
1 1 1 + 4 = 5 1(2) - 6 = -4 (5, -4)
2 2 2 + 4 = 6 2(2) - 6 = -2 (6, -2)
Plot the NEW COORDINATES for the transformed graph.
The temperature changed from -7 degrees f at 6:00 am to 7 degrees f at noon write an expression. How much did the temperature increase?
I just need it to be written in an expression and then simplified
The temperature increase can be represented by the expression 7°F + 7°F, which simplifies to 14°F.
Explanation:The expression to represent the temperature increase from -7 degrees Fahrenheit at 6:00 am to 7 degrees Fahrenheit at noon is as follows:
Temperature increase = Final temperature - Initial temperature
Substituting the values, we get:
Temperature increase = 7°F - (-7°F)
Simplifying, we have:
Temperature increase = 7°F + 7°F
Temperature increase = 14°F
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Jessie wrote down a 3 digit natural number she said her number consists of three consecutive digits in descending order from left to right with the sum of its digits equal to 24 what number did Jessie write down
Answer:
The three digit natural number is 789.
Step-by-step explanation:
Let the fist digit be x
The second digit will be x + 1
The third digit will be x + 2
So x + x + 1 + x + 2 = 24
3x = 24 - 3
3x = 21
x = 7
The first digit is 7, the second digit is 8 and the third digit is 9
The three digit natural number is 789.
Which statement is true?
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
A dilation is a function because the scale factor is always greater than 1.
A dilation is not a function because a point on the pre-image could be mapped to more than one point on the image.
A dilation is not a function because the image is not congruent to the pre-image.
Answer:
Dilation : The meaning of Dilation is that by taking a fixed center and certain real number we can either enlarge an image or reduce it's size without actually changing it's shape. it totally depends on amount by which we are dilating if it is a real number greater than 1 the size of image increases otherwise shrinks means smaller in size.
The original image is called Pre-image and after dilation that changed image is called image.
So, we can say that Dilation is a function because for each different scale factor or different real number we get different images.
So, Out of all the four options given first looks completely true about Dilation.
i.e A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image. This is the definition of a function in mathematics. The scale factor and the congruity of the image to the pre-image are irrelevant to the classification of dilation as a function.
Explanation:The correct statement is:
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image
. In mathematics, dilation is a transformation that changes the size, but not the shape, of a figure. For a dilation to qualify as a function, each point in the pre-image must correspond to exactly one point in the image, without any point in the pre-image being mapped to more than one point in the image. This is the definition of a function: a relation from a set of inputs (the pre-image) to a set of possible outputs (the image) where each input is related to exactly one output. The scale factor and the congruity of the image to the pre-image have no bearing on whether a dilation is a function or not.
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Find the sum of the polynomials (5y^3+2y^2-7y) + (12y^3-4y^2+8)
[tex](5y^3+2y^2-7y) + (12y^3-4y^2+8)\\\\=5y^3+2y^2-7y+12y^3-4y^2+8\\\\=(5y^3+12y^3)+(2y^2-4y^2)+(-7y)+(8)\\\\=17y^3-2y^2-7y+8[/tex]
HELP PLEASE LOTS OF POINTS
p: 1 is the multiplicative identity
q: a · 0 = a
Which of the following statements is true?
p \/ q
p /\ q
p --> q
We are given
p: 1 is the multiplicative identity
Firstly, we will verify whether it is true
Multiplicative identity:
[tex]A \cdot 1=A[/tex]
Here , 1 is the multiplicative identity
So, 1 is multiplicative identity
so, statement p is true
q: a · 0 = a
we know that whenever we multiply any expression by 0
It will result in 0
so, this statement is false
now, we will verify each options
option-A:
p \/ q
so, we can plug
T \/ F = T
so, this is TRUE
option-B:
p /\ q
so, we can plug
T /\ F = F
so, this is FALSE
option-C:
p --> q
we can plug
T-->F = F
so, this is FALSE
The statements p \/ q (p OR q) is true since the proposition p is true and hence the whole OR operation is true, p /\ q (p AND q) and p --> q (p implies q) are false since the proposition q is false.
Explanation:The given propositions are "p: 1 is the multiplicative identity" and q: a · 0 = a. Let's analyze each proposed relation among them:
p \/ q (p OR q): This is false. While p is true (since any number multiplied by 1 gives the same number), q is false (any number multiplied by 0 gives 0, not a). However, in an OR operation, if one statement is true, the whole statement is true. Hence, p \/ q is truep /\ q (p AND q): This is false. While p is true, q is false as explained earlier. In an AND operation both statements must be true for the whole statement to be true. Hence, p /\ q is falsep --> q (p implies q): This is false. In implication, if p is true, then q must be true. But here, although p is true, q is false. Therefore, p --> q is falseLearn more about Logical Operations here:https://brainly.com/question/13092292
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Which statements about the extrema of the graphed function is true. Select all that apply.
From the graph attached, Options (1) and (3) represent the correct points (local minimum and global maximum).
If there are multiple peaks and troughs in the graph of a function, highest peak will be the global maximum and lowest point will be the global minimum.
From the graph attached,
(4, 4) is the highest but the lowest point is in the infinity.
Therefore, (4, 4) will be the global maximum and no global minimum.
Other point in the trough (-2, -2) will be local minimum and the points on peaks (0, 2) and (-4, 3) will be local maximum.
Therefore, Options (1) and (3) will be the correct options.
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The true statements about the extrema of the graphed function are: Options (1) and (3).
What is the statementsThe highest point on the graph is at (4, 4), and this will be considered the highest point overall, which we call the "global maximum."
As the graph appears to continue downward indefinitely. In such cases, we say there is no "global minimum" because there isn't a single lowest point that stands out.
There are also some points within the peaks and troughs of the graph:
(4, 4) is the highest point, making it the "global maximum."(-2, -2) is a point in a trough, making it a "local minimum."(0, 2) and (-4, 3) are points on the peaks, making them "local maxima."Learn more about graphed function from
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60 POINTS
Does the following table show a proportional relationship between the variables g and h?
No I don't believe so, a proportional relation ship would be h= g x 3. So I believe it would be g3=h9 g6=h18 g9=h27. So that when you divide h by 3 it will always equal g. I hope this helped and wasn't too confusing.
The relationship between these 2 g and h is that h=gxg but that is not really constant with it, I hope that helps
t=e^2/9 solve for e, what would this be thank you.
Answer:
e=±3√T
Step-by-step explanation:
Selena bought 5.62 pounds of meat for $3.49 per pound. What is the total cost of the meat
Answer:
$19.61
Step-by-step explanation:
To find how much Selena spent, multiply the amount by the price per pound. She spent 5.62 (3.49) = $19.61.
this is a side view of a roller coaster. (see attached image.)
-what is the slope between point c and point d?
-what is the equation of the line that represents the climb from point c to point d? using mx+b.
-what is the domain and range for the roller coaster?
Let every line = 1 unit:
Point C is located at (0,0)
Point D is located at (7, 12)
The slope is the change in Y over the change in X:
Slope = 12-0 / 7-0 = 12/7
The equation of the line from C to D using mx +b:
m = slope, which we already calculated as 12/7
To solve for b, replace m with 12/7 to get
y=12/7x +b
replace x with 0 ( from point C )
y = 12/7(0) +b
Replace y with 0 (also from point C)
0 = 12/7(0)+b
Solve for b:
b = 0
The equation becomes y= 12/7x
The Domain is the X values, which range from A to E, -12 to 13
Which is written as (-12,13) or -12≤x≤13
The range is the Y values, which range from A to D, 0 , 12
Which is written as (0,12) or 0≤y≤12
Addition and Multiplication are inverse operations.
True
or
False?
Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ
Triangles ΔWXY and ΔWVZ are similar because they are both isosceles with two pairs of congruent angles and a shared vertex angle, which satisfies the AA similarity criterion.
Explanation:To prove that triangles ΔWXY and ΔWVZ are similar, we need to establish that they have the same angle measures and their sides are proportional. Since we know ΔWXY and ΔWVZ are both isosceles triangles, they have two angles of equal measure. Specifically, the base angles of an isosceles triangle are congruent, therefore in ΔWXY, angles WYX and WXV are equal, and in ΔWVZ, angles WZV and WVZ are equal.
We also know that these triangles share the vertex angle at W, which means ΔWXY and ΔWVZ both have the angle W in common. This establishes that all corresponding angles between ΔWXY and ΔWVZ are congruent. Since both triangles are isosceles and have two pairs of congruent angles (base angles) and a common vertex angle, they are similar by the AA (Angle-Angle) similarity criterion. The ratio of the sides opposite the equal angles in isosceles triangles should be constant, thereby confirming the similarity.
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Kevin is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?
speed = 6.4 Km per hour
speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{38.4}{6}[/tex] = 6.4 Km per hour
Which basic geometric term is often represented by a sheet of paper?
A. Plane
B. Line
C. Point
D. Ray
I believe the answer is A. Plane
The answer is Plane or A
Ryo accidentally ordered 240% percent as many eggs as his restaurant needs. What fraction of the number of eggs his restaurant needs did Ryo order?
Answer:
Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.
Step-by-step explanation:
Suppose, the number of eggs his restaurant needs is [tex]x[/tex]
Ryo ordered 240% as many eggs as his restaurant needs. So, the number of eggs he ordered [tex]= x\times 240\% = x\times \frac{240}{100}= 2.4x[/tex]
For finding the fraction of the number of eggs his restaurant needs, we just need to divide "number of eggs ordered" by the "number of eggs needed".
So, the fraction will be: [tex]\frac{2.4x}{x}= 2.4 = \frac{24}{10}= \frac{12}{5}[/tex]
That means, Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.
Ryo ordered 12/5 of the number of eggs his restaurant needs.
Given that Ryo accidentally ordered 240% percent as many eggs as his restaurant needs, to determine what fraction of the number of eggs his restaurant needs did Ryo order, the following calculation must be performed:
240/100 = X 10/24 = X 12/5 = X
Therefore, Ryo ordered 12/5 of the number of eggs his restaurant needs.
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Which statement is false?
A. The number zero is a rational number.
B. Some irrational numbers are also rational numbers.
C. Every irrational number is a real number.
D. Every integer is a rational number.
Need answers ASAP, Thanks!
The false statement is B: 'Some irrational numbers are also rational numbers.' This is incorrect because a number cannot be both rational and irrational by definition.
The false statement among the options provided is option B: Some irrational numbers are also rational numbers. This is false because by definition, irrational numbers and rational numbers are distinct sets of numbers with no overlap. A rational number can be written as a ratio of two integers, which means it can be expressed as a fraction. On the other hand, an irrational number cannot be written as a ratio of integers. Thus, a number cannot be both rational and irrational at the same time.
To clarify the other options, option A is true because zero can be represented as the ratio 0/1, making it a rational number. Option C is true because irrational numbers such as π (pi) and √2 (the square root of 2) are indeed part of the set of real numbers. Option D is true because all integers can be expressed as a ratio where the denominator is 1, making every integer a rational number.
Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs.Will all the containers hold all of the water.
Answer: YES
Step-by-step explanation:
Convert liters to gallons. Need to show 2 half gallons ≥ 3 liters
[tex]\frac{3(liters)}{} * \frac{1(gallon)}{3.785(liters)} = 0.7926 gallons[/tex]
[tex]2*\frac{1}{2} gallons = 1 gallon[/tex]
2 half gallons ≥ 3 liters
1 gallon ≥ 0.7926 gallons
TRUE
An elevator can safely lift at most 4400 lbs. A concrete block has an average weight of 41 lbs. What is the maximum number of concrete blocks that the elevator can lift?
Final answer:
The maximum number of concrete blocks that the elevator can lift is 107.
Explanation:
To find the maximum number of concrete blocks that the elevator can lift, we need to divide the maximum weight the elevator can lift by the weight of each concrete block.
Maximum weight the elevator can lift = 4400 lbs
Weight of each concrete block = 41 lbs
Now, we can use the division operation to find the maximum number of concrete blocks:
Maximum number of concrete blocks = 4400 lbs ÷ 41 lbs ≈ 107.317
Since we cannot have a fraction of a concrete block, we can conclude that the maximum number of concrete blocks that the elevator can lift is 107.
BEST ANSWER GET TO BE BRAINLYEST+85 pts
Estimate the perimeter of the figure. The length of one side of each square represents 1 yd.
about 10 yd
about 20 yd
about 25 yd
about 15 yd
Answer:
it is about 15 yd
Step-by-step explanation:
add the squares. about 15 squares. Just got this correct
Choose the equation that is modeled by the graph below: y=−1x y=−1x−4 y=−14x−1 y=−4x−1 its on ramp
Answer:
?? separate the equation more because i don't understand
Step-by-step explanation:
30 points + Brainliest
Your answer is A. If we find the slope of the line and draw it out farther, we can see that the points 4,7,10, and 13 would fall on that line.
Answer:
The answer is A. Hope I helped ^-^
Step-by-step explanation: