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Tatiana [17]
3 years ago
12

Find the value I in a formula P=IRT P=200 R=9% T=4 years

Mathematics
1 answer:
natita [175]3 years ago
6 0

The simple interest earned is $ 72

<u>Solution:</u>

<em><u>The formula for simple interest is given as:</u></em>

I = PRT

Where,

I is the simple interest

P is the principal

R is the rate of interest

T is the number of years

From given,

P = 200

R = 9 % = 0.09

T = 4 years

<em><u>Substituting the values we get,</u></em>

I = 200 \times 0.09 \times 4\\\\I = 200 \times 0.36\\\\I = 72

Thus simple interest earned is $ 72

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Answer:

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2 years ago
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

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3 years ago
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Answer:

73.5

Step-by-step explanation:

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