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Sveta_85 [38]
3 years ago
7

Find the area of each shape

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
The square is 130 in squared and the other shape is 54 in squared. If you're looking for the sum of the whole thing, its 185 in squared.
square: 13*10=130
triangle: 7*4= 28/2=14
rectangle: 10*4=40
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Step-by-step explanation:

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Find the 7th term of a geometric sequence with t1 = 6 and r = 4.
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$5,000 is deposited today into a bank account. The account earns 7.5% per annum compounded half yearly for the first 6 years, th
kvv77 [185]

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The account balance six months from today is $5,187.5.

Step-by-step explanation:

This is a compound interest problem

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that

The total amount formula changes after 6 years, at which point each of the principal(initial money), interest rate, and n changes.

This item asks only the balance six months from today, so we use the information given for the first 6 years.

A is the account balance, the value we hope to find.

The loan is of $5,000. So P = 5,000

The account earns 7.5% per annum compounded half yearly, so r = 0.075, n = 2.

We want to find the account balance in 6 months. However, t is measured in years. So t = \frac{6}{12} = 0.5

Solving the equation:

A = P(1 + \frac{r}{n})^{nt}

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A = 5,187.5

The account balance six months from today is $5,187.5.

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