Answer:
$712.
Step-by-step explanation:
We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.
Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.
Surface area = 2(ab+bc+ac)
a=5.2 ft, b=2.4 ft, c=3.5ft
Surface area = 2(5.2 * 2.4 + 2.4 * 3.5 + 3.5 * 5.2) =
2(12.48 + 8.4 + 18.2) =
2 * 39.08 =
78.16 ≈ 78.2 ft² ← <span>to the nearest tenth</span>
This is the eqn of a str line. <span>y+4=12/7(x-1) would be clearer if written as
</span><span>y+4=(12/7)(x-1). y+4 = (12/7)x - 12/7.
Multiply all terms by 7 to remove the fractions: 7(y+4) = 12x - 12.
Complete the multiplication: 7y + 28 = 12x - 12.
Arrange the x and y terms on the left side and the constants on the right:
-12x + 7y = -40. This is standard form. Some people might disagree and say that -12x + 7y + 40 is standard form. They are equivalent.
</span>
Answer:
X is equal to 32
Step-by-step explanation:
Answer:
24 Combinations Total
Step-by-step explanation:
METHOD 1 (no advanced math skills needed)
i. Number the friends: a, b, c, and d
ii. List all possible combinations...
- a b c d
- a b d c
- a c b d
- a c d b
- a d b c
- <u>a d c b</u>
- b a c d
- b a d c
- b c a d
- b c d a
- b d a c
- <u>b d c a</u>
- c a b d
- c a d b
- c b a d
- c b d a
- c d a b
- <u>c d b a</u>
- d a b c
- d a c b
- d b a c
- d b c a
- d c a b
- <u>d c b a</u>
To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.
METHOD 2
n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24
