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PLz help meDerek and Susan each open interest-bearing accounts in a bank and put the same amount of money into their accounts. Derek's account earns simple interest. The balance, in dollars, in Derek's account after t years is represented by the function D. D(t)=500(1+2.5t) Susan's account earns interest at a lesser rate than Derek's account, but the interest is compounded annually. The balance, in dollars, in Susan's account after t years is represented by the function S. S(t)=500(1+1.8)^tWhich statement is true? A. At first Derek's account balance will be greater, but eventually Susan's account balance will be greater. B. Derek's account balance will always be greater than Susan's account balance. C. Susan's account balance will always be greater than Derek's account balance. D. At first Susan's account balance will be greater, but eventually Derek's account balance will be greater.
General
2 months ago
The Dittany family's vegetable garden is shaped like a scalene triangle. Two of the sides measure 6 feet and 10 feet. Which could be the length of the third side, in feet?Question 2 options:181696
General
2 months ago
Please answer fast!A cubed-shape container has an edge length of 8 cm. The container is filled with decorative crystal cubes. Each cube has an edge of 1 cm and costs 5¢. What is the total cost of the crystal cubes in the container?
General
2 months ago
When b= 0.5, the period of orange graph is _ piWhen b= 2, the period of orange graph is _ pi
General
2 months ago
In london, 1 litre of petrol costs 108.9p In Ney York, 1 US gallon of petrol costs $2.83 1 US gallon = 3.785 litres ?1= $1.46 In which city is petrol better value for money, London or New York? You must show your working.
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2 months ago
A two-sided coin (heads/tails) is flipped once, and one card is drawn from a standard 52 deck of playing cards. Calculate the probability of each given situation.Drawing a King AND drawing a Heart - Flipping a Heads OR flipping a Tails -Flipping a Tails AND drawing a King - Flipping a Tails OR drawing a King - Drawing a King OR drawing a Heart - Item bank1 1/261/524/137/13
General
2 months ago
(a) What is the difference between a sequence and a series? A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is an unordered list of numbers. A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) What is a convergent series? What is a divergent series? A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent. A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is convergent if it is not divergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
General
2 months ago
The area of a rectangle is given by the expression x2 + 5x + 4. If the length of one side is given by x + 2, what is the length of the other side? A. `x + 3` B. `(2)/(x + 2)` C. `x + 3 ? (2)/(x + 2)` D. `x + 3 + (2)/(x + 2)`
General
2 months ago
Plz help me When graphed, which function has a horizontal asymptote at 4? A.f(x)=2x-4 B.f(x)=2(3^x)+4 C.f(x)=-3x+4 D.f(x)=3(2^x)-4
General
2 months ago
(08.06) Jamie is 5 years older than Ella. Jamie's age is 11 years less than three times Ella's age. The system below models the relationship between Jamie's age (j) and Ella's age (e): j = e + 5 j = 3e − 11 Which of the following methods is correct to find Jamie's and Ella's age? Solve j + 5 = 3j − 11 to find the value of j. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Solve e + 5 = 3e − 11 to find the value of e.
General
2 months ago
Among 8846 cases of heart pacemaker malfunctions, 375 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 8846 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted?
General
2 months ago
Find an equation of a line that is parallel to 5x - 3y = 6 and passes through the point(6, –2).
General
2 months ago
Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an example of a continuous function on (0, 1) that is bounded, but not uniformly continuous.
General
2 months ago
A person has a rectangular board 12 inches by 16 inches around which she wants to put a uniform border of shells. If she has enough shells for a border whose area is 380 square inches, determine the width of the border.
General
2 months ago
Turns out that I'm going to need help with this question. I wasn't able to figure it out on my own. Thanks for the help!
General
2 months ago
For the pair of triangles below, determine whether or not the triangles are similar. If they are similar, show your reasoning in a flowchart. If they are not similar, explain how you know.
General
2 months ago
Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 10x2+4xâ1, 3xâ4x2+3, and 5x2+xâ1. The dimension of the subspace H is . Is {10x2+4xâ1,3xâ4x2+3,5x2+xâ1} a basis for P2? Be sure you can explain and justify your answer. A basis for the subspace H is { }. Enter a polynomial or a comma separated list of polynomials.
General
2 months ago
Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?
General
2 months ago
When a large municipal water tank is empty, it takes a Type JQ pump, working alone, 72 hours to fill the tank, whereas as Type JT pump, working alone, would take only 18 hours to fill the tank completely. If the tank starts at half full, how long would it take two Type JQ pumps and a Type JT pump, all three pumps working together, to fill the tank?
General
2 months ago
(1 point) If the joint density function of X and Y is f(x,y)=c(x2−y2)e−2x, with 0≤x<∞ and −x≤y≤x, find each of the following. (a) The conditional probability density of X, given Y=y>0. Conditional density fX|Y(x,y)= 4(x^2-y^2)e^(-2x)/(1-2y^2) (Enter your answer as a function of x, with y as a parameter.) (b) The conditional probability distribution of Y, given X=x. Conditional distribution FY|X(y|x)= 3/4(x^2-y^2) (for −x≤y≤x). (Enter your answer as a function of y, with x as a parameter.)
General
2 months ago
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