You have $6,500 to deposit. If you deposit the money in a savings account at your local bank, you will earn 1.45% annual interest and will be able to make ATM withdrawals at your bank's ATMs. If you deposit the money in an online savings account, you will earn 2.25% interest, but you will be charged $4 every time you make an ATM withdrawal. Assuming that your ATM withdrawals do not reduce the amount of interest you earn, how many ATM withdrawals must you make in a year for the local savings account to be a better deal than the online savings account?
a.
5
b.
12
c.
14
d.
10
Answer:
C. 14
Step-by-step explanation:
I just answered it correct
Solve for the equation. u + 3.5 = 5
Find dy/dx and d2y/dx2. x = et, y = te−t
The question is about finding the first and second derivatives of y with respect to x. The first derivative dy/dx is found to be (1+t)e^-2t, and the second derivative d2y/dx2 is found to be -2e^-2t.
Explanation:The derivatives are found by differentiating each function with respect to t first, using the product and chain rules, respectively: the derivatives dy/dt and dx/dt are dy/dt = e^-t - te^-t and dx/dt = e^t. Then, dy/dx can be found as (dy/dt)/(dx/dt), and the second derivative d2y/dx2 can be obtained by differentiating dy/dx with respect to x, which will utilize the quotient rule. Specifically, dy/dx = (e^-t(1+t))/(e^t) which simplifies to (1+t)e^-2t, and after a relatively complex differentiation for d2y/dx2, we get -2e^-2t.
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How do you write 6 19/25 as a decimal?
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{6 \dfrac{19}{25}}[/tex]
[tex]\mathsf{= \dfrac{6\times25 + 19}{25}}[/tex]
[tex]\mathsf{= \dfrac{150 + 19}{25}}[/tex]
[tex]\mathsf{= \dfrac{169}{25}}[/tex]
[tex]\mathsf{= 169 \div 25}[/tex]
[tex]\mathsf{= 6.76}[/tex]
[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{6.76}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
consider the function f(x)=2x^2-8x+5.
a)express f(x) in the form of a(x-p)^2+q,where a,p,q are Z?
b)find the minimum value of f(x)? ...?
Match Term Definition
Line Segment A) a series of points that extend in two directions without end
Plane B) two lines that intersect at 90° angles
Perpendicular Lines C) lines that lie in the same plane and do not intersect
Line D) a flat surface that extends infinitely and has no thickness
Parallel Lines E) part of a line that has two endpoints
Answer:
Line segment: E
Plane: D
Perpendicular lines: B
Line: A
Parallel lines: C
Step-by-step explanation:
This middle school mathematics question asks for matches between geometric terms and their definitions. Line segments have two endpoints, planes extend infinitely without thickness, perpendicular lines intersect at 90 degrees, lines extend indefinitely in two directions, and parallel lines never intersect.
Explanation:
In the field of mathematics, particularly in geometry, we often deal with various foundational elements such as lines, line segments, planes, and the relationships between them. To understand these concepts, it is essential to know their definitions and how they relate to each other.
A line segment is best described as a part of a line that has two distinct endpoints. This means a line segment is contained and does not extend infinitely in any direction. An example of this is the edge of a ruler, which begins and ends at specific points. The correct match for a line segment in the provided list is E) part of a line that has two endpoints.
A plane in geometry is a flat, two-dimensional surface that extends infinitely in all directions. It's similar to a vast sheet of paper with no edges. It is defined by at least three noncollinear points and is often represented in drawings as a four-sided figure, but it continues without end. The correct definition for a plane is D) a flat surface that extends infinitely and has no thickness.
Perpendicular lines are two lines that intersect at an angle of 90 degrees. The point where they cross forms right angles, and the two lines are always at the same distance from each other at this point. The definition of perpendicular lines is B) two lines that intersect at 90° angles.
Regarding a line, it is an undefined term in geometry that represents a straight path that extends infinitely in both directions with no thickness. It is comprised of an infinite number of points. A simple description of a line is A) a series of points that extend in two directions without end.
Lastly, parallel lines are lines in the same plane that do not intersect, no matter how far they are extended on either side. This is because they are always the same distance apart, maintaining a consistent separation across their entire length. The correct match for parallel lines is C) lines that lie in the same plane and do not intersect.
The product of two numbers is 48, and one of the numbers is 12. find the other number. which equation can be used to solve this problem?
Heather writes the equations below to represent two lines drawn on the coordinate plane.
–6x + 18y = 0
4x – 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?
The equation has no solution; therefore, the system of equations has no solution.
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).
Answer:
its A if you are taking the unit test
Step-by-step explanation:
What fraction is.85 of an inch?
slope -2 and passes through (1, 1)
answer that for me please i am very confused
Question 4 Rachel, Greg, and Trey sent a total of 71 text messages over their cell phones during the weekend. Trey sent 3 times as many messages as Greg. Greg sent 9 more messages than Rachel. How many messages did they each send?
Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Robin’s basket contains 6 apples, each weighing ounces. Whose basket is heavier and by how much?
Robin's basket is heavier than Ted's basket by 2 ounces.
Explanation:To determine whose basket is heavier, we need to find the total weight of each basket.
Ted's basket contains 5 apples, each weighing 8 ounces. Therefore, the total weight of Ted's basket is 5 * 8 = 40 ounces.
Robin's basket contains 6 apples, each weighing 7 ounces. Therefore, the total weight of Robin's basket is 6 * 7 = 42 ounces.
Since Robin's basket weighs 42 ounces and Ted's basket weighs 40 ounces, Robin's basket is heavier by 2 ounces.
Find the value of cos θ for the angle shown
Multiply.
Express your answer as a simple fraction or improper fraction.
7 · 3/4 = n
What substitution should be used to rewrite 4x12 – 5x6 – 14 = 0 as a quadratic equation?
u = x2
u = x3
u = x6
u = x12
is 48/72 and 6/9 Proportional or Nonproportional
The fractions (48/72) and (6/9) are proportional as, (8/8)(6/9) is equal to (48/72).
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, A fraction 48/72.
Now, If we simplify the fraction by factoring out some common terms we'll have,
24/36.
= 12/18.
= 6/9.
So, They are proportional.
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solve for x. round your answer to two decimal places. show your work for full credit. a right triangle is shown with the hypotenuse labeled x. one angle has a measure of thirty degrees, and the opposite leg has a length of ten.
The value of x is 20 when right triangle is with the hypotenuse labeled x , one angle has a measure of thirty degrees, and the opposite leg has a length of ten.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Right ∆ with Hypotenuse is x, Opposite is 10
Reference angle = 30°.
We need to find the value of x
Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:
sin(theta)=opposite side/hypotenuse
Plug in the values into the equation
sin 30 = 10/x
1/2=10/x
Apply cross multiplication
x=20
Hence, the value of x is 20 when right triangle is with the hypotenuse labeled x , one angle has a measure of thirty degrees, and the opposite leg has a length of ten.
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Put these numbers in order from least to greatest 11, 7, 8, 3, 6, three, 16, 10, 16
If adams plain travels at a speed of 375mph in 6hours ,how far did the plane travel
Factor out the greatest common factor
-5x^2 - 5x^3 - 15x^4
Which fraction is equivalent to 2/6?
Carol sells candles and Yankee Candle. She earns $8.50 per hour plus 6% commission on sales. Last week Carol worked 40 hours. What was Carol’s weekly gross salary if her total sales were $250? *
$590.51
$352.16
$355.00
$340.00
Answer:$352.16
Im in a rush so cant add explaination
What is the simplified form of x plus 1 over x squared plus x minus 6 divided by x squared plus 5x plus 4 over x minus 2
Answer: The simplified form will be
[tex]\frac{1}{(x+3)(x+4)}[/tex]
Step-by-step explanation:
Since we have given that
[tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]
We need to simplify the above expression, we get that
[tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}\\\\=\frac{x+1}{x^2+x-6}\times \frac{x-2}{x^2+5x+4}\\[/tex]
Now, we first factorize the quadratic equation:
[tex]x^2+x-6\\\\=x^2+3x-2x-6\\\\=x(x+3)-2(x-3)\\\\=(x+3)(x-2)[/tex]
Similarly,
[tex]x^2+5x+4\\\\=x^2+4x+x+4\\\\=x(x+4)+1(x+4)\\\\=(x+4)(x+1)[/tex]
So, it will become
[tex]\frac{x+1}{x^2+x-6}\times \frac{x-2}{x^2+5x+4}\\\\=\frac{x+1}{(x+3)(x-2)}\times \frac{x-2}{(x+4)(x+1)}\\\\=\frac{1}{(x+3)(x+4)}[/tex]
Hence, the simplified form will be
[tex]\frac{1}{(x+3)(x+4)}[/tex]
What is greater four liters or one gallon
Answer:
One Gallon
Step-by-step explanation:
One Imperial gallon is 4.54 litres so in that case the gallon is greater but one US gallon is only 3.79 litres so in that case the litres is bigger. ... or 1 gallon =1/. 22 =4.545 liters. so one gallon is greater than 4 liters.
lim x->1 (x^n-1)/(x^m-1) =?
Sixteen is 64% of what number?
A.12
B.25
C.32
D.48
What is the total interest on a ten-year. 6.1% loan with a principal of $32,000?
Final answer:
The total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.
Explanation:
To find the total interest, we need to use the formula:
Interest = Principal × Rate × Time
Given that the principal is $32,000, the interest rate is 6.1%, and the time is 10 years, we can substitute these values into the formula to calculate the total interest:
Principal: $32,000
Rate: 6.1%
Time: 10 years
Interest = $32,000 × 0.061 × 10 = $19,520
Therefore, the total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.
Paul has 2/3 as many postcards as shawn . the number of postcards shawn has is 3/5 of the number of postcards tim has. if the three boys have 280 postcards altogether,how many more postcards does tim have than paul ?
true or false Volume can be measured in liters or cubic meters.