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Marrrta [24]
3 years ago
11

The balance in a savings account at the end of each year is shown below. The year is denoted by n, and the account balance is

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Answer:

A(n) = 100(1.1)^n

Step-by-step explanation:

Given that :

Account balance = A(n)

Compound interest paid = 10%

We need to obtain the initial amount deposited, that is A(n), when n = 0

In year, n = 1

Account balance, A(n) = $110

Let initial deposit = P

Hence,

Compound interest relation should be ;

A(n) = P(1 + r)^n

Plugging in our values

110 = P(1 + 0.1)^1

110 / P = 1.1^1

110/P = 1.1

110 = 1.1P

P = 110 / 1.1

P = 100

Hence, we can define the amount paid inn n years by substuting the value of P into the compound interest formula :

A(n) = 100(1 + 0.1)^n

A(n) = 100(1.1)^n

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I need help with this ASAP and can you explain so i can understand?!
Elanso [62]

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

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Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

We\:have\\x+y=600\\x=600-y

Put in eq(2)

6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225

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2 years ago
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Any suggestions or answers
Sati [7]

Answer:

x=81\degree

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\implies 51\degree+48\degree+x=180\degree

\implies 99\degree+x=180\degree

\implies x=180\degree-99\degree

\implies x=81\degree

Use the exterior  angles theorem to find y.

The exterior angle y is the sum of the two remote interior angles:

y=51\degree+48\degree=99\degree

The sum of angles on a straight line is 180 degrees.

\implies z+51\degree=180\degree

\implies z=180\degree-51\degree

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