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Nina [5.8K]
1 year ago
15

O. The number of for attending football match this week was 12% more more than last week. if 728 people attended this week's mat

ch how many attended last week?​
Mathematics
1 answer:
Artist 52 [7]1 year ago
6 0
Let the number of people who attended last week be ‘x’.
Comparing to last week, 12% more people attended this week. So we have to add 12% to x

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4. Two savings accounts each start with a $200 principal and have an interest rate of 5%. One account earns simple interest and
slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

  • P is the original value
  • r is the rate in decimal
  • t is the time

The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

  • A is the new value
  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

6 0
3 years ago
What is 6/10 fraction as decimal
dexar [7]
I am pertty sure its 0.6 but if i am wrong sorry
4 0
2 years ago
Read 2 more answers
A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.
Allisa [31]
By definition, the sine of an angle is given by:
 sin \alpha =  \frac{C.O}{h}
 Where,
 C.O: opposite leg
 h: hypotenuse
 The hypotenuse is given by:
 h =  \sqrt{(-6)^2+(5)^2}
 h =  \sqrt{(61}
 So, replacing values we have:
 sin \alpha = \frac{5}{\sqrt{61}}
 Rewriting we have:
 sin \alpha = \frac{5\sqrt{61}}{61}
 Answer:
 
the sine value of this function is:
 
A)5 times square root 61 over 61
6 0
3 years ago
Read 2 more answers
Can someone please help with these
nataly862011 [7]

3. The simplest form of √42 is √42


4. √75

Rewrite 75 as 5^2 * 3

Now you have √(5^2*3)

Pull squared terms out from the radical to get 5√3

3 0
3 years ago
If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?
N76 [4]

Answer:

(f o g)(x) = 3x + \frac{2}{3}

Step-by-step explanation:

We have the function f(x) = x-\frac{1}{3} and we have the function g(x) = 3x + 1. We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

f(g(x)) = (g(x)) -\frac{1}{3}

f(g(x)) = (3x + 1) -\frac{1}{3}

Simplifying, we obtain:

(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}

Finally. The composite function is:

(f o g)(x) = 3x + \frac{2}{3}

6 0
3 years ago
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