Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest?

Answers

Answer 1

Answer: Unlike credit card purchases, interest charged on cash advances is already incurred even if you pay before the due date.

32% is the annual interest rate
1 month is the term
200 is the principal

32% / 12 months = 2.67% per month

200 * 2.67% = 5.34 monthly interest

200 * 32% = 64 annual interest
64/12 = 5.33 monthly interest

She has to pay $5.34 in interes

Answer 2

Answer:

Answer: A. $5.33

Step-by-step explanation:

I took the test on edge

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Help on geometry similar triangles #4

Answers

Because BE // DC you have that AE / AD = BE / DC ;
AD = AE + ED;
AD = 9;
3 / 9 = BE / 15;
BE = ( 3 * 15 ) / 9;
BE = 5.

A city map is placed on a coordinate grid. The post office is located at the pointP ( 5, 35) , the library is located at the point L (15, 10) , and the fire station is
located at the point F  (9, 25) . What is the ratio of the length of PF to the length of
LF ?
A 2 : 3
B 3 : 2
C 2 : 5
D 3 : 5

Answers

The distance between two points:
$d=√((x_2-x_1)^2+(y_2-y_1)^2)$
(x₁,y₁), (x₂,y₂) - the coordinates of the points

$P(5,35) \nL(15,10) \nF(9,25) \n \n\overline{PF} = √((9-5)^2+(25-35)^2)=√(4^2+(-10)^2)=√(16+100)= \n=√(116)=√(4 * 29)=2√(29) \n \n\overline{LF}=√((9-15)^2+(25-10)^2)=√((-6)^2+15^2)=√(36+225)= \n=√(261)=√(9 * 29)=3√(29) \n \n\frac{\overline{PF}}{\overline{LF}}=(2√(29))/(3√(29))=(2)/(3)=2:3$

The answer is A.

Final answer:

The ratio of the length of PF to the length of LF on the coordinate grid can be found by using the distance formula. After calculation, we find that the ratio is approximately 2:3.

Explanation:

To answer this question, you need to know how to calculate the distance between two points on the coordinate grid, which can be found using the distance formula. The distance formula is √[(x2-x1)² + (y2-y1)²] where (x1, y1) and (x2, y2) are the coordinates of two points on a plane.

First, calculate the length of PF as follows:

PF = √[(9-5)² + (25-35)²] = √[16 + 100] = √116≈10.77

Next, calculate the length of LF as follows:

LF = √[(15-9)² + (10-25)²] = √[36 + 225] = √261≈16.155

Hence, the ratio of the length of PF to the length of LF is approximately 10.77:16.155 which approximately reduces to 2:3.

Therefore, the answer is A: 2:3.

Learn more about Coordinate Grid Distance Ratio here:

brainly.com/question/15021394

#SPJ11

Find value of x and y

2.) 4x+13y=40
4x+3y=-40

Answers

$\left\{\begin{array}{ccc}4x+13y=40\n4x+3y=-40&/\cdot(-1)\end{array}\right\n+\left\{\begin{array}{ccc}4x+13y=40\n-4x-3y=40\end{array}\right\n-----------\n.\ \ \ \ \ \ 10y=80\ \ \ \ /:10\n.\ \ \ \ \ \ y=8\n\n4x+3\cdot8=-40\n4x+24=-40\n4x=-40-24\n4x=-64\ \ \ \ /:4\nx=-16\n\nSolution:x=-16\ and\ y=8.$

4x + 13y = 40
4x + 3y = -40
using elimination method
10y = 80
y = 8
substitute y in eq1
4x + 13(8) = 40
4x + 104 = 40
4x = 40 - 104
4x = - 64
x = -16

Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31

Answers

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

$y=2(4)^2-16(4)+31\ny=2(16)-64+31\ny=32-64+31\ny=1$

The vertex is (4,1).

A bird flies due east for 600 meters at a constant speed of 10 m/s. What is the bird's acceleration? (a) with no change in velocity, there is no acceleration (b) 60 m/s (c) 6 m/s/s (d) 60 m/s/s (e) not enough information is given