Answer:
3/25
Step-by-step explanation:
This is the simplest fraction for 12%.
4 (3x+9)-3(5y+7) =11
distribute
12x +36 -15y -21 =11
12x -15y +15 =11
subtract 15 from each side
12x -15y =-4
subtract 12x from each side
-15y= - 12x-4
divide by -15
y = -12/-15 x -4/-15
y = 4/5 x + 4/15
slope = 4/5
y intercept = 4/15
The money in the Felix's account will be $6798 when he is 21.
<u>Step-by-step explanation:</u>
It is given that,
- The amount deposited is $2000.
- The account earns 6% compound interest.
- It is compounded annually for 21 years.
<u>To find the money in Felix's account after 21 years :</u>
The formula used here is,
⇒ ![A = P(1+r/n)^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%2Br%2Fn%29%5E%7Bnt%7D)
where A is the amount after 21 years.
- P is the initial amount deposited ⇒ P = 2000
- r is the rate ⇒ r = 0.06
- n is the number of times interest is compounded per year⇒ n = 1
- t is the time period ⇒ t = 21
⇒ ![2000(1+0.06/1)^{21\times 1}](https://tex.z-dn.net/?f=2000%281%2B0.06%2F1%29%5E%7B21%5Ctimes%201%7D)
⇒ ![2000(1.06)^{21}](https://tex.z-dn.net/?f=2000%281.06%29%5E%7B21%7D)
⇒ ![2000\times3.399](https://tex.z-dn.net/?f=2000%5Ctimes3.399)
⇒ ![6798](https://tex.z-dn.net/?f=6798)
Therefore, The money in the Felix's account will be $6798 when he is 21.
Answer:
x=24.621
Step-by-step explanation:
tan(72)=x/8
tan(72)×8=x
x=24.621
Let
x-------> the width of the rectangular area
y------> the length of the rectangular area
we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2
substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
the length of the rectangular area is at most 45 ft
see the attached figure
the solution is<span> the shaded area</span>