Answer:
Chelsey can be a member of the fitness club for <u>10</u> months.
Step-by-step explanation:
Given:
Chelsey wants to join a fitness club.
The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.
She has $250 to spend on a membership at the fitness club.
Now, to find the number of months Chelsey can be a member of the fitness club.
Let the number of months Chelsey can be a member of the fitness club be 
Monthly fee = $19.50.
Membership fee = $55.
Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:
<em>Subtracting both sides by 55 we get:</em>
<em>Dividing both sides by 19.50 we get:</em>
Therefore, Chelsey can be a member of the fitness club for 10 months.
Answer:
$3599.57
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^t
where Accrued amount is to be determined
P = principal; $3200
r = 4% = 0.04
t = number of years = 3
Therefore
Accrued amount = 3200 (1 + 0.04)^3
= 3200 x 1.04^3
= 3200 x 1.1249
= 3599.57
The total amount after 3 years is $3599.57
Answer:
c/e = e/d
Step-by-step explanation:
These are similar triangles. When you flip the larger one clockwise to enable you to see which sides are corresponding, then you find that:
c corresponds to e'
a corresponds to b
e corresponds to d
Therefore, c/e in the original position = e'/d in the flipped position.
<u>So c/e = e/d</u>
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
Answer: the 55th stripe is white
Step-by-step explanation:
The first four stripes on a wall with 100 stripes are red , blue, white, and purple. The four colors repeat in the same order. This means that Red always follow blue which is followed by white and then purple. This means that red would always start each new and consecutive set of four stripes and purple will always end it
We want to determine the 55th stripe. The last four stripes that include 55 ends with the 56th stripe. This means that the 56th stripe is purple. Therefore, the 55th stripe would be white because it follows purple.
