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
Answers
Amount from local account = 6,500(1.0145)ⁿ
Amount from online account = 6,500(1.0225)ⁿ - 4x
Where n is the number of years and x is the number of ATM withdrawals.
6,500(1.0145)ⁿ > 6,500(1.0225)ⁿ - 4x
4x > 6,500[(1.0225)ⁿ - (1.0145)ⁿ]; n = 1
x > 13
The number of withdrawals must exceed 13.
The answer is C.
Answer:
C. 14
Step-by-step explanation:
I just answered it correct
Related Questions
m ∠CAD = 0.3(m(GE) - m(CD))
True or False
Answers
Answer:
False
You’re welcome ;)
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?
Answers
the slope for ax+by=c is -a/b
that means that a line paralell to 2x+3y=3 will have 2x+3y=something
find that something
given
(3,-4)
x=3 and y=-4 is a soltuion
2x+3y=something
2(3)+3(-4)=something
6-12=something
-6=something
2x+3y=-6
1. Which is an example of an activity with a moderate amount of physical activity?
a.) cross-country skiing
b.) biking up steep-hill terrains
c.) playing a game of soccer
d.) skating
2. Which could be considered a vigorous physical activity?
a.) surfing
b.) dancing
c.) playing doubles tennis
d.) chopping wood
3. Which activity provides a low level of physical exercise?
a.) raking leaves
b.) walking the dog
c.) dancing
d.) washing dishes
Answers
Activities that provide moderate, vigorous, or low exercise levels can be determined by their intensity and duration. Skating involves moderate physical activity, surfing can be considered a vigorous activity, and walking the dog provides a low level of physical exercise.
Explanation:The level of physical activity involved in various activities usually depends on the intensity and duration of the actions involved. An example of an activity involving a moderate amount of physical activity could be d.) skating, considering the balance, coordination, and movement involved.
A vigorous physical activity, on the other hand, is characterized by increased heartbeat and breathing. Based on this, a.) surfing could be categorized as a vigorous activity as it involves intense body workout and body balance. Lastly, an activity that provides a low level of physical exercise involves less effort and fewer calories burned. A good example of this could be b.) walking the dog, as this activity mostly involves casual walking.
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What is the equation in point slope form of the line that passes through the point (–2, 4)(–2, 4) and has a slope of 5?
Answers
Now we'll plug in the numbers they give us into the formula:
y-4= 0(x+2).
simplify
(10)/(5b+4)+(6)/(2b-3)
A.-10b-54/(5b+4)(2b-3)
B. 16/7b+1
C. 16/(5b+4)(2b-3)
D. 50b-6/(5b+4)(2b-3)
Answers
Rick combines 8 atoms of hydrogen and 4 atoms of oxygen to make 4 molecules of water
Answers
That, means four molecules of water.
A giant salmon skier uses skies that are one sixth her height. if she is 174 cm tall how long are her skies?
Answers
1/6= x/174
Cross multiply and divide
1 x 174= 174
174 divided by 6= 29
Answer is 29 cm
Solve for x.
x/7 = -3
1,) x = -21
2.) x = -10
3.) x = 4
4.) x = 21
Answers
How do you fine arccot(-sqrt(3))?
Answers
Answer:The answer is be And i’m Strongly positive about this because i just got it right!
Step-by-step explanation:
I need help finding the slope for AB, BC, CD and DA
Answers
BC = -2
CD = 1/2
DA = -2
A baker bought some flour. He used to 2/5 of the flour to make bread and used the rest to make batches of muffins. If he used 16 pounds of flour making bread and 2/3 pound for each batch of muffins how many batches of muffins did he make
Answers
The lengths of two sides of a triangle are 9 and 15. What can be said about the length of the third side?
It must be geater than or equal to 6 and less than 24.
It must be greater than or equal to 6 and at most 24.
It must be greater than 6 and less than 24.
It must be greater than 6 and at most 24.
Answers
Answer:
Your answer is B
As the sum of any 2 lengths of a triangle is always greater than the third length
Step-by-step explanation:
It must be greater than or equal to 6 and at most 24.
Given that
The lengths of the two sides of a triangle are 9 and 15.
We have to determine
What can be said about the length of the third side?
According to the question
The lengths of the two sides of a triangle are 9 and 15.
By the properties of the triangle, the sum of the square of two lengths is equal to the third side length of the triangle.
Always remember that when you add two sides to a triangle, the sum will come out to be higher than the third side’s length.
Hence, It must be greater than or equal to 6 and at most 24.
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Select all ratios equivalent to 20:4
4:20, 2:10, 15:3, 1:2
Answers
Final answer:
The only ratio equivalent to 20:4 from the given choices is 15:3 because, when simplified, both ratios reduce to 5:1.
Explanation:
To determine which ratios are equivalent to 20:4, we need to find ratios that can be simplified or scaled to form the same relationship. An equivalent ratio maintains the proportion when both terms are multiplied or divided by the same number.
First, the given ratio of 20:4 can be simplified by dividing both terms by 4, which gives us 5:1. Now, we can compare this to the choices provided:
4:20 is not equivalent because when simplified (divided by 4), it gives 1:5, which is the inverse of 5:1.2:10 simplifies to 1:5 (dividing by 2), also not equivalent for the same reason.15:3 simplifies to 5:1 (dividing both terms by 3), which is equivalent to 20:4.1:2 is already in simplest form and is not equivalent to 5:1 or 20:4.Therefore, the only ratio equivalent to 20:4 given in the choices is 15:3.
There are 13 fish in an aquarium. seven of the fish are guppies. how many non-guppies are in the aquarium
Answers
The difference between five times a number and twelve times the number is –35.
Answers
A copy machine makes 44 copies per minute. How many copies does it make in 4 minutes and 30 seconds?
Answers
176+22
it makes 198 copies
77 decreased by twice of a number
Answers
The algebraic expression for '77 decreased by twice of a number' is 77 - 2x, where x is the unknown number.
Explanation:The question '77 decreased by twice of a number' involves creating an algebraic expression. This expression will have the form 77 - 2x, where x represents the unknown number. To decrease 77 by twice a number means to subtract two times that number from 77.
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A certain chain of ice cream stores sells 28 different flavors, and a customer can order a single-, double- , or triple-scoop cone. suppose on a multiple-scoop cone that the order of the flavors matter and that the flavors can be repeated.how many possible cones are there? ...?
Answers
There are 22,764 possible cones.
Explanation:To calculate the number of possible cones, we need to consider the number of flavors and the number of scoops. Since a customer can order a single-, double-, or triple-scoop cone, we will consider each case separately.
For a single-scoop cone, the customer can choose one flavor out of the 28 available flavors. Therefore, there are 28 possible single-scoop cones.
For a double-scoop cone, the customer can choose two flavors for the two scoops. Since the order of the flavors matters and repetition is allowed, we can think of this as selecting two flavors with replacement. Using the formula n^r, where n is the number of flavors and r is the number of scoops, there are a total of 28^2 = 784 possible double-scoop cones.
For a triple-scoop cone, the customer can choose three flavors for the three scoops. Again, using the formula n^r, there are a total of 28^3 = 21,952 possible triple-scoop cones.
Therefore, the total number of possible cones is 28 + 784 + 21,952 = 22,764.
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The expression in the figure below represent the measures of two angle.Find the value of x . f || g . The diagram is not to scale.
Answers
2x and 8x+40 complementary angles
their sum is 180
2x+8x+40=180
10x=140
x=14
On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount? What will that amount be?
Help !
Answers
Diego's amount after x weeks: 700-35x
Juan's amount after x weeks: 450 + 15x
These are equal so write equation
700-35x =450 +15x
700-450 = 35x +15x
250 = 50x
x = 5 weeks
450 +15*5 = 450 +75 = $525
W hich of the following are you not likely to see on a graph? dependent variable, units, independent variable, prediction ...?
Answers
Answer: Fourth option is correct.
Step-by-step explanation:
On graph, we can display dependent variables, units, independent variables , because they can be expressed in numbers easily.
Whereas prediction is not competent every time to get expressed with numerical terms.
Hence, prediction is not likely to see on the graph.
Thus, Fourth option is correct.
Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralph, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?
Answers
2D = R
3D = P
P + R + D = 720
Now, we substitute values into the last equation:
3D + 2D + D = 720
6D = 720
D = 120
Dominic's weight is 120 pounds
Which of the following are properties of the incenter of a triangle? Choose all that apply.
A. The incenter is where all of the bisectors of the angles of the triangle meet.
B. The incenter of an obtuse triangle lies on the outside of the triangle.
C. The incenter is equidistant from each vertex of the triangle.
D. The incenter of a triangle is always inside it.
Answers
A & D
A. The incenter is where all of the bisectors of the angles of the triangle meet.
D. The incenter of a triangle is always inside it.
Answer:
A. The incenter is where all of the bisectors of the angles of the triangle meet.
C. The incenter is equidistant from each vertex of the triangle.
D. The incenter of a triangle is always inside it.
Step-by-step explanation:
Which national legislature has themost members?
Answers
To cover A rectangle region of her yard penny needs atleast 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
Answers
Egypt is 386,700 square miles and wyoming is about 97,818 square miles egypt is about how many times as large as wyoming
Answers
Egypt is approximately 4 times as large as Wyoming when comparing their areas.
Explanation:To calculate how many times larger Egypt is compared to Wyoming, we divide the area of Egypt by the area of Wyoming. The area of Egypt is 386,700 square miles, and the area of Wyoming is about 97,818 square miles.
Dividing the area of Egypt by the area of Wyoming gives us: 386,700 / 97,818 ≈ 3.95.
Therefore, Egypt is approximately 4 times as large as Wyoming.
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PETS Becky wants to buy some fish for her aquarium. She has $20 to spend and the fish cost $2.50 each. Write and solve an inequality to find how many fish Becky can afford.
Answers
The inequality 2.5x ≤ 20 represents the given situation, and Becky can afford at most eight fish.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let x be the number of fish Becky can afford.
We can write an inequality to represent the situation using the cost of the fish and the amount of money Becky has:
2.5x ≤ 20
To solve this inequality, we'll start by isolating the variable x on one side of the inequality. To do that, we'll divide both sides of the inequality by 2.5:
x ≤ 8
This inequality tells us that Becky can afford at most 8 fish.
To check:
20/2.5 = 8 fish
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If f(x) = integral of 1/ (sqrt of t^3 +2)dt, then f'1 = ?
I'll write the equation with teh equation thing also ...?
Answers
f(x) = integral of dt/sqrt(t^3 + 2)
f'(x) = 1/sqrt(x^3 + 2)
f'(1) = 1/sqrt(1^3 + 2)
f'(1) = 1/sqrt(3) = sqrt(3)/3.
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What is the difference between slope on a table and slope on a graph
Answers
The difference between slope on a table and slope on a graph is shown below:
The slope on a table refers to the rate of change between two points represented in a table of values.
It is calculated by finding the ratio of the change in y-values to the change in x-values between two points.
The slope on a table is determined by taking the difference in y-values and dividing it by the difference in x-values.
On the other hand, the slope on a graph refers to the steepness or incline of a line that connects two points on a graph.
It is calculated by the ratio of the vertical change (rise) to the horizontal change (run) between two points on the graph.
While both the slope on a table and the slope on a graph represent the rate of change, they are determined differently.
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Factor completely and then place the factors in the proper location on the grid.
4y2 + 25y + 6
Answers
(4y+1)(y+6)
Answer:
factored form of given equation [tex]4y^2+25y+6[/tex] is [tex](4y+1)(y+6)[/tex]
Step-by-step explanation:
Given equation [tex]4y^2+25y+6[/tex]
We have to write the given equation in factors form and then represent the factors on grid.
Consider the given equation [tex]4y^2+25y+6[/tex]
25y can be written as 24y + y , we get
[tex]\Rightarrow 4y^2+24y+y+6[/tex]
Taking 4y common from first two term and 1 common from last two term, we get,
[tex]\Rightarrow 4y(y+6)+1(y+6)[/tex]
[tex]\Rightarrow (4y+1)(y+6)[/tex]
Thus, factored form of given equation [tex]4y^2+25y+6[/tex] is [tex](4y+1)(y+6)[/tex]
On grid it is shown as shown in attachment below.