Answer:
FV= $2,407.53
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,300
Interest rate (i)= 4.5% = 0.045
Number of periods (n)= 14 years
<u>To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 1,300*(1.045^14)
FV= $2,407.53
Answer:
The area of the circular ring is 53.73 π sq. yards
Step-by-step explanation:
The diameter of the skating ring = 44 ft
Diameter = 2 x Radius
⇒Radius of the ring = 44 / 2 = 22 ft
Now, 1 ft = 0.333333 yards
⇒22 ft = 22 x 0.333333 yards = 7.3333 yards
Now, Area of the circular Ring = 
or, 
= 53.73 π sq. yards
or, the area of the circular ring is 53.73 π sq. yards
Answer:
8 ≤ $45
Step-by-step explanation:
Given:
People younger than 8 get in for $45.
Now we can assume that the cost given might be to enter in the garden or might be in fair or might be at museum or might be at a zoo which is $45 for people which are younger than 8.
Now we can say for people younger than 8 means people or children who are of 8 years or who are below 8 years or say less than 8 years.
Hence we can say people who are less than or equal to 8 get in for $45
So the inequality equation becomes.
8 ≤ $45
<span>Given that there are 50 campers at day camp and 10
counselors.
The ratio of campers to counselors as a fraction is given by

.
Using equivalent fractions we have

.
Thus, the related rate and unit
rate to the ratio of campers to counselors is given by

.
The unit rate indicates that for every counselor, there are 5 campers.</span>
Answer:
x=2
x=-5
Step-by-step explanation:
You need to get everything on one side to have a quadratic equation:
x^2+6x-4 -(3x+6) = x^2+3x-10
All factors of 10 are 1*10 and 2*5.
5-2 = 3 and 5*-2 = -10
Factoring x^2+3x-10 gives us (x-2)(x+5)
x=2
x=-5