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PIT_PIT [208]
3 years ago
7

The area of a triangle is 96cm2. The height of the triangle is 8 inches.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0
Area of a Triangle= 1/2 (bh)
96=1/2(b x 8)
96/8=1/2b
12=1/2b
12 x 2/1=b
24=b
A=1/2(24(8))
P=24 x 3
P=72
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Debbie has at most $58 to spend on clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shir
german

Answer:

The Inequality Equation =

22 + 9x ≤ 58

The number of T -shirts Debbie can buy is at most 4 T-shirts

Step-by-step explanation:

Let the number of T shirts Debbie can buy be represented as x

We are told in the question: Debbie has at most $58 to spend on clothes.

This means she would not exceed $58. She would be spending less than or equal to $58

The Inequality Equation =

$22 + $9 × x ≤ $58

22 + 9x ≤ 58

Solving the Inequality Equation above:

22 + 9x ≤ 58

9x ≤ 58 - 22

9x ≤ 36

x ≤ 36/9

x ≤ 4 shirts

The number of T -shirts Debbie can buy is at most 4 T-shirts

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3 years ago
An initial deposit of $45,000 grows at an annual rate of 10% for 20 years. Compare the final balances resulting from continuous
Ugo [173]

Answer:

Annual:         $302 737.50

Continuous: $332 507.52

Step-by-step explanation:

A. Compounded annually

The formula for <em>compound interest</em> is

A = P(1 + r)ⁿ

Data:

P = $45 000

r  = 10 %

t = 20 yr

Calculations:

n = 20

A = 45 000(1+ 0.10)²⁰

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B. Compounded continuously

The formula for <em>continuously compounded inerest</em> is

A = Pe^{rt}

A = 45 000e^{0.10 \times20}

= 45 000e^{2.0}

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  = $332 507.52

4 0
3 years ago
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Answer:

Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

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3 years ago
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QUESTION 4
prohojiy [21]

The answer should be y=x-9  /3

I'm sorry if I'm wrong

Step-by-step explanation:

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What are the 2 criteria for lines to represent proportional relationships?
stepan [7]

Answer:

one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio

Step-by-step explanation:

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