Answer:
Step-by-step explanation:
Let x represent the number of times Giselle uses the athletic club and y represent money left in account.
We have been given that each time she uses the club, $15 is deducted from the account. The amount used after using the club after x times would be 
.
We are also told that Giselle pays $220 in advance on her account at the athletic club.
The money left in account after x uses of athletic club would be money in account initially minus amount used for using the club x times.
Therefore, our required equation would be .
Answer: A
Compound interest simply defined as the interest added at regular interval. Compound interested can be calculated using
Compound interest = P (1+) ^nt and Pe ^rt
P = Initial balance
r = Annual interest rate
n = Number of times the interest is compounded per year
t =Number of year money is invested
Using
Compound interest = P (1+ ) ^nt
Continuous
P= $ 8000
t = 6
r = 6.25%
=
= 0.0625
n = 1
Compound interest = 8000 (1+) ^1×6
= 8000 (1 + 0.0625) ^6
= 8000 (1.0625) ^ 6
= 8000× 1.4387
= $11,509.6
Semi- annually
P= $ 8000
t = 6
r = 6.3%
=
= 0.063
n = 2
Compound interest = 8000 (1+) ^2×6
= 8000 (1 + 0.063) ^12
= 8000 (1.063) ^12
= 8000× 1.4509
= $11,607.0
Investing $ 8000 semi-annually at 6.3% for 6 years yields greater return
Therefore the answer is (A)
<span>C) 320 15/16 in3 ..........................................</span>
Answer:
The graph in the attached figure
Step-by-step explanation:
The complete question is
Which graph best represents the solution to the following system?
5x - 2y < (less than or equal to) 10
x + y < 5
we have
----> inequality A
isolate the variable y
Adds 2y both sides
Subtract 10 both sides
Divide by 2 both sides
Rewrite
The solution of the inequality A is the shaded area above the solid line
The equation of the solid line is 
The slope of the solid line is positive 
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (2,0)
-----> inequality B
Isolate the variable y
Subtract x both sides
The solution of the inequality B is the shaded area below the dashed line
The equation of the dashed line is 
The slope of the dashed line is negative 
The y-intercept of the dashed line is (0,5)
The x-intercept of the dashed line is (5,0)
using a graphing tool
The solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
Answer:
The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer
Step-by-step explanation:
* Lets explain how to sole the problem
- Proportional relationship describes a simple relation between
two variables
- In direct proportion if one variable increases, then the other variable
increases and if one variable decreases, then the other variable
decreases
- In inverse proportion if one variable increases, then the other variable
decreases and if one variable decreases, then the other variable
increases
- The ratio between the two variables is always constant
- Ex: If x and y are in direct proportion, then x = ky, where k
is constant
If x and y in inverse proportion, then x = k/y, where k is constant
* Lets solve the problem
# Last table
∵ x = 3 and y = 6
∴ x/y = 3/6 = 1/2
∵ x = 5 and y = 10
∴ x/y = 5/10 = 1/2
∵ 1/2 is constant
∵ x/y = constant
∴ x and y are proportion
* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship
