You invest $2500 into an account that compounds interest on a annually at 4%. How long will it take for the account to have $6000?
Answers
Answer:
100 mounth
Step-by-step explanation:
Answer:
Step-by-step explanation:
it will take 100 months
Related Questions
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Answers
Consider the following curve.
y = 4 + 4x2 - 2x3.
(a) Find the slope of the tangent to the curve at the point where x = a.
m =
(b) Find the equation of the tangent line at the point (1, 6).
f(x) =
(c) Find the equation of the tangent line at the point (2, 4).
g(x) =
Answers
(a) If x = a, then the slope of the tangent at that point is: m = 8a - 6a^2
(b) The equation of the tangent line at (1, 6) is: y - 6 = 2(x - 1) or y = 2x + 4
(c) The equation of the tangent line at (2, 4) is: y - 4 = -16(x - 2) or y = -16x + 36
(a)
To find the slope of the tangent at the point where x = a:
Differentiate the given curve with respect to x to obtain the derivative of y, which is the slope of the tangent at any point on the curve.Substitute the given value of x = a into the derivative to obtain the slope of the tangent at that point.For the given curve, the derivative is: y' = 8x - 6x^2
(b)
To find the equation of the tangent line at the point (1, 6):
Find the slope of the tangent at the given point by substituting x = 1 into the derivative obtained in part (a).Use the point-slope form of the equation of a line, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the tangent at that point, to find the equation of the tangent line.If x = 1, then the slope of the tangent is: m = 8(1) - 6(1)^2 = 2
Using the point-slope form, the equation of the tangent line at (1, 6) is: y - 6 = 2(x - 1) or y = 2x + 4
c) To find the equation of the tangent line at the point (2, 4):
Find the slope of the tangent at the given point by substituting x = 2 into the derivative obtained in part (a).Use the point-slope form of the equation of a line, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the tangent at that point, to find the equation of the tangent line.If x = 2, then the slope of the tangent is: m = 8(2) - 6(2)^2 = -16
Using the point-slope form, the equation of the tangent line at (2, 4) is: y - 4 = -16(x - 2) or y = -16x + 36
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hich of the following ratios is not equivalent to 7 : 3? Multiple choice question. A) 14 : 3 B) 14 : 6 C) 21 : 9 D) 28 : 12
Answers
Answer:
C
Step-by-step explanation:
because the 21:9 is break to the smallest form which is C
the life of an electric component has an exponential distribution with a mean of 10 years. what is the probability that a randomly selected one such component has a life more than 7 years?
Answers
The probability is 0.4647.
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true.The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty. The higher the probability of an event, the more likely the event will occur. A simple example is tossing a fair coin. Both outcomes are equally likely because the coin is fair. The probability of heads or tails is 1/2. These concepts are an axiomatic mathematical formalization of probability theory that is widely used in research fields such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy. Infer the expected frequency from the event. Probability theory is also used to explain the underlying dynamics and laws of complex systems.To learn more about probability from the given link :
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1. Det. the discharge of a rectangular 2) flume 3m wide. 1.5m deep on ure ne 0.013. slope of as 0.0025. Find also the boundary shear stress. Solution:
Answers
Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)
Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,
R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²
The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².
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Data were collected on the following viables. Which variable is LEAST likely to be approximated with a normal model? The distribution of heights of tomato plants growing at an agncultural Center, where most heights cluster around the center and there are some very short and very tail heights The distribution of times that a certain brand of house paint lasts on a house where the distribution is symmetric and bell-shaped The distribution of lengths of the trout living in a certain roam where the dist tion is unimodal and clustered around the center and the left hair is a mirror image of the night hall The distribution of weighs of mold samples growing in a laboratory where the distribution is symmetric, un model and does not have any outliers . E ) The distribution of ages in years of the residents of a town where the tail of the distribution is longer than the left
Answers
The distribution of heights of tomato plants growing at an agricultural center is the least likely to be approximated with a normal model.
The variable that is least likely to be approximated with a normal model is the distribution of heights of tomato plants growing at an agricultural center, where most heights cluster around the center and there are some very short and very tall heights.
A normal distribution assumes that the data follows a symmetric, bell-shaped pattern.
However, in the case of tomato plant heights described, the distribution is not symmetric and does not exhibit a bell-shaped pattern. Instead, it has a cluster around the center with some very short and very tall heights, indicating a skewed distribution.
The other options mentioned in the question, such as the distribution of times that a certain brand of house paint lasts, the distribution of lengths of trout, the distribution of weights of mold samples, and the distribution of ages of residents in a town,
all exhibit characteristics that are more likely to be approximated with a normal model, as they either display symmetric, unimodal patterns or have no outliers. Therefore, the distribution of heights of tomato plants growing at an agricultural center is the least likely to be approximated with a normal model.
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Guys pls help me!!!!!!!
Answers
Answer:
I believe the answer is 164 degrees
Step-by-step explanation:
Angle GHC is 60 degrees and angle CHI is 104 degrees. Since we want to find angle GHI (which is the big angle) we have to add up the other two angles. When you add 104 and 60, you get 164 degrees. Hope this helps!
How much flour is used in 4 batches of cookies?
Answers
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not. Considering this data, how many of the next 6 pizzas sold would you expect to have pepperoni?
Answers
Answer:
1 pizza
Step-by-step explanation:
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.
This means, the total number of pizzas sold is
10 pepperoni + 2 pizzas without pepperoni = 12 pizzas
Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:
From the above question,
12 pizzas = 2 pizza without pepperoni
6 pizzas = x
Cross Multiply
12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni
x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas
x = 1 pizza without pepperoni
Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold
Answer:
5
Step-by-step explanation:
Four packs of a certain brand of T-shirts cost
$
220.
Each pack costs the same amount of money and contains
5
T-shirts.
What is the cost per T-shirt?
Answers
Answer:
$11
Step-by-step explanation:
Four packs of T-shirt each with 5 T-shirts= 20 T-shirts
4*5=20 T-shirts
Total amount=$220
$220/20=$11
HELPPPP
which value is equal to 2✓28-5✓63?
a-37✓7
b-✓7
c-11✓7
d✓7
Answers
Answer:
c
Step-by-step explanation:
if I understand this right, then the expression is
2×sqrt(28) - 5×sqrt(63)
let's look for squared factors in the numbers under the square roots.
28 = 4×7 (4 is a squared number)
63 = 9×7 (9 is a squared number)
so,
2×sqrt(4×7) - 5×sqrt(9×7) =
= 2×2×sqrt(7) - 5×3×sqrt(7) = 4×sqrt(7) - 15×sqrt(7) =
= (4 - 15)×sqrt(7) = -11×sqrt(7)
(11,-7) (-5,-5) midpoint
Answers
Answer:
(3,-6)
Step-by-step explanation:
The midpoint is the halfway distance between two points.
11+(-5)/2, -7+(-5)/2=
11-5/2, -7-5/2=
6/2, -12/2=
(3, -6)
What is an equation of the line that passes through the point (-4,-7) and is parallel to the line 3x-y=4
Answers
Answer:
y=3x+5
Step-by-step explanation:
its right. i put it on my quiz and got it correct.
An equation of the line that passes through the point (-4,-7) and is parallel to the line 3x - y = 4 is y = 3x + 5.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines parallel to each other have the same slope.
∴ Line parallel to 3x - y = 4 Or - y = - 3x + 4 Or y = 3x - 4 will have a
slope of 3 passing through the point (-4, - 7).
∴ - 7 = 3(-4) + b.
- 7 = - 12 + b.
b = 5.
∴ y = 3x + 5.
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Use the figure below to complete the sentence.
Answers
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Answers
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
(02.01 MC) Triangle FIT has been reflected over the y-axis. Which of the following best describes the relationship between the y-axis and the line connecting F to F? (4 pe They share the same midpoints. They are diameters of concentric circles. They are perpendicular to each other. They are parallel and congruent.
Answers
The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.
When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.
The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.
Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.
Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.
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Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answers
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
how to slove 12(8-4×)+3×=634 ?
Answers
Answer: x= 11 43/45 or decimal form x=-11.9
Step-by-step explanation:
12(8-4×)+3×=634
You start by
12x(4x)+3x=634
48x+3x=634
51x=634
634 divided 51=12.431372549
X=12.431372549
The function f is defined by the following rule
f(x)=2x-1
Complete the function table
Answers
The table can be filled as,
-7
-5
-1
1
9
pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Answers
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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Help with the this question pleaseeee
Answers
Answer:
32x - 8
Step-by-step explanation:
A = LW
A = (8x - 2)(4)
A = 32x - 8
Have a nice day
Can someone please help I need this fast
Answers
Answer:
11
Step-by-step explanation:
Let's solve your equation step-by-step.
2(x-4)+3=17
(2x-2·4)+3=17
(2x-8)+3=17
2x-5=17
(2x-5)+5=17+5
2x-5+5=22
2x=22
\(\frac{2x}{2}\)=\(\frac{22}{2}\)
x=2·11/2
x=11
Solve for X.
Need to show the work.
Can someone help me?
Answers
Answer:
X =20
X+24=2(x+22)
X+24=2x+44
X=44-24
X=20
the physician orders medication l 400 mg po twice daily. the pharmacy supplies medication l with a dosage strength of 2 grams per 5 ml. how many milliliters does the nurse advise the patient to take with each dose? enter the numeral only, not the units.
Answers
The nurse will advise the patient to take 1 ml of medication with each dose.
The physician orders medication at 400 mg po twice daily. The pharmacy supplies medication with a dosage strength of 2 grams per 5 ml.
How many milliliters does the nurse advise the patient to take with each dose?
The nurse should advise the patient to take 1 ml of medication with each dose.
To find the number of milliliters, the following formula will be used.
Dose × Volume/Strength
Given, Dose = 400 mg
Strength = 2 grams per 5 ml
Volume = ?
To convert 400 mg to grams, divide by 1000.
400 mg = 400/1000 = 0.4 g
Now, put the values in the formula,
0.4 g × Volume / 2 g/ 5 ml= 5/2 × 0.4/1= 5/2 × 0.4= 1 ml
Hence, the nurse will advise the patient to take 1 ml of medication with each dose.
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What is the value of a?
✅6√2
❌9
❌8√3
❌36√2
Answers
Answer:
6√2.
Step-by-step explanation:
Triangles CDE and DBE are similar.
Therefore:
a / 18 = 4 / a
a^2 = 4*18
a^2 = 72
a^2 = 36*2
a = √36*√2
a = 6√2.
A store uses binary numbers to assign a unique binary sequence to each item in its inventory. What is the minimum number of bits required for each binary sequence if the store has between 75 and 100 items in its inventory?.
Answers
Answer:
Introduction:
Binary numbers are used by different departmental stores to keep track of their inventory.
Explanation:
For this the minimum binary numbers should be 8 bits which can represent 256 unique values.
If a store needs to represent its inventory items between 25 to 75, it should use at least 8 bits which can formulate a eight bit number for every item.
Conclusion:
Therefore the correct answer is d. 8
Step-by-step explanation:
What is11r - 14r - 3 + 16
Answers
Answer:
-3r+13
Step-by-step explanation:
11r-14r-3+16
=11r-14r+13
= -3r+13
Answer:
-3r + 13
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
11r - 14r - 3 + 16
Step 2: Simplify
Combine like terms (r): -3r - 3 + 16Combine like terms (Z): -3r + 13And we have our final answer!
Help me pls how to do this
Answers
Answer:
tbh I don't know either that's what brainley is for ☺️
The position y (in meters) of a submarine after x minutes is y = -8x - 12. Interpret the slope
Answers
Equation represents position of submarine vs time, slope of -8 means position decreases 8m per minute.
What is slope ?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
he equation of the position y (in meters) of a submarine after x minutes can be represented as:
y = -8x - 12
Where x is the time in minutes and y is the position in meters. To solve for y, we can substitute a specific value of x and calculate the corresponding value of y.
For example, if we substitute x = 0, we can find the initial position of the submarine:
y = -8 * 0 - 12
y = -12
So, the initial position of the submarine is -12 meters.
In general, the slope of the line represented by this equation is -8, meaning that for every one unit increase in x (i.e., one minute), the position of the submarine decreases by 8 meters.
Equation represents position of submarine vs time, slope of -8 means position decreases 8m per minute.
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The position y (8 meters per minute) of a submarine after x minutes is y = -8x - 12,
given that:
The position y (in meters) of a submarine after x minutes is y = -8x - 12
The slope of the equation y = -8x - 12 represents the rate of change of the position of the submarine. It tells us the amount by which the position of the submarine changes for each unit change in time that is (minutes).
In this case, the slope is -8, which means that for each 1-minute increase in time, the position of the submarine decreases by 8 meters. This indicates that the submarine is descending at a rate of 8 meters per minute. Hence our result is 8 meters per minute.
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HELP ME PLEASE!!!!!!!
Answers
Answer:
Step-by-step explanation:
Graph # Matching equation
1 |-3x|
2 |-x|
3 -|2x|
You can tell which one matches by finding the slope and whether the V points up or down