Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum simple interest rate Maggie needs to reach her goal?

Answers

Answer 1

Answer: Given:
Principal: 14,100
Interest:4,000
term: 8 years
rate: ?

We'll use the simple interest rate formula to get the interest rate needed.

Simple Interest = Principal * Interest Rate * Term
4,000 = 14,100 * Interest rate * 8 years
4,000 = 112,800 * Interest rate
4,000 / 112,800 = Interest rate
0.03546 = Interest rate

0.03546 * 100% = 3.546% or 3.55% is the interest rate needed.

S.I = 14,100 * 0.0355 * 8
S.I = 500.55 * 8
S.I = 4,004.40

Answer 2

Answer:

Answer:40001

Step-by-step explanation:

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1. Point P is between points F and G. The distance between points F and Pis 1/4 of FG. What is the coordinate of point P?

Answers

Answer:

Point P is in between points F and G.

Now, here we do not have the actual locations of F and G, so i will answer this in a general way.

Suppose that F is located at 0 and G is located at some value A.

Then the distance FG = A - 0 = A.

Now, the distance between F and P is:

Distance = (1/4)*FG = A/4

Then the location of P is equal to the location of F plus A/4

P = 0 + A/4

Now, writing this in a more general way:

P = F + FG/4

Final answer:

The coordinate of point P is represented by the expression 0.75f + 0.25g. This is found by taking the coordinate F and adding 1/4 of the distance FG, which is represented by the coordinates g - f.

Explanation:

In order to find the coordinate of point P, we first need to understand the problem properly. You are given that point P is located between points F and G, and the distance from F to P is one-fourth the distance from F to G. If we represent these points on a number line, suppose the coordinate of F is 'f' and that of G is 'g'.

Then, the distance from F to G is 'g - f'. Given that FP = 1/4 FG, the coordinate of point P, p, is 'f' plus 1/4 of 'g - f'. That is:

p = f + 1/4(g - f) = f + 0.25g - 0.25f = 0.75f + 0.25g.

This expression gives the coordinate of P in terms of the coordinates of F and G.

Learn more about Coordinates here:

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Solve the following problem: 28 – 18 – 10.
A. 0
B. 18
C. 8
D. 10

Answers

28 - 18 - 10
10 - 10
0

The answer is A.

A) 28-18
↓
10-10
↓
0. <<< answer.

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters:(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters? (5 points)

A.x2 − 13x + 4
B.3x2 − 13x + 4
C.3x2 − 11x + 4
D.x2 − 12x + 4

Answers

To know the area of a rectangle the equation L x W is used where L is length and W is width. In this problem L is x-4 while W is 3x-1, by simply multiplying both we can get the area.
in equation,
(x-4)(3x-1)
3x^2-1x-12x+4
3x^2-13x+4.
The letter B. 3x^2 - 13x +4 is the simplified expression which represents the area of the floor of the conference room in square meters.

Answer: it’s b, 3x^2-13x+4. I took the test

Step-by-step explanation:

A bag has 90 fruits in it there are 9 times as many oranges as there are apples.So the bag has how many apples in it?

Answers

-- IF all 90 pieces in the bag are oranges or apples,
THEN there are 9 apples and 81 oranges.

-- You didn't specify that, so it's possible that there could be
2 apples, 18 oranges, and 70 kumquats or sabra pears.

Suppose that a when a cell phone store charges 16$ for a car charger, it sells 92 units. When it drops the price to 15$ it sells 96 units. Assume that demand is a linear function of price. If each phone charger costs 1$ to make, what price should the store charge to maximize its profit?
If x is the number of times the price is reduced by one dollar.

Find a function for total profit with respect to x. A negative value for x will mean the price is increased.

Answers

D(x) = mx + c ; where x is selling price , c is constant, m is slope
given D = 21 when x = $16
21 = 16m + c ------------1) and also we know D = 24 unit, when x = $15,
24 = 15m + c ------------2)
subtract eqn 2) from eqn 1) we get
-3 = m , and plug this value of m in eqn 1) we get
21 = 16*(-3) + c => c = 69
hence demand function
D(x) = -3x + 69
Cost price is C = $1
Profit = Revenue - Cost price
P(x) = Demand*Selling price - Cost per unit* Demand
P(x) = (69 - 3x)*x - 1*(69 - 3x)
P(x) = 69x - 3x² - 69 + 3x ; or
P(x) = - 3x² + 72x - 69 -------------Answer
Differentiate profit function with respect to x (selling price)
dP/dx = -3*2x + 72 - 0
0 = 72 - 6x ; plug dP/dx = 0 for maxima minima
6x = 72
x = $12 per unit --------Answer
(Since d²P/dx² = -6 < 0 , hence profit will be maximum at x = $12 per unit
and Demand would be D(@12) = 33 unit
Revenue = 33*$12 = $396
Cost = $1*33 = $33
Max Profit = #396 - $33 = $363

PLZ HELP, ASAP! A hotel offers two activity pages. One costs $192 and includes 3 hours of horseback riding and 2 hours of paasailing. The second costs $213 and includes 2 hours of horsebac riding and 3 hours of parasailing. What is the cost for 1 hour of each activity?
A. Parasailing: $39; Horseback Riding: $48
B. Parasailing: $51; Horseback Riding: $30
C. Parasailing: $27; Horseback Riding: $46
D. Parasailing: $63; Horseback Riding: $24