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Naya [18.7K]
3 years ago
8

Activity 1: Put me in the Box!

Mathematics
1 answer:
Contact [7]3 years ago
6 0

Step-by-step explanation:

To find - Determine the hypothesis and the conclusion of the given

               statement  the hypothesis in Box A and the conclusion in Box B.

             1. Vertical angles are congruent

             2. Bats are mammals that can fly.

             3. You are a good citizen when you obey rules and regulations.

             4. A number is divisible by 10 if its last digit is a 0.

             5. 3x + 6 = 21, because x = 5​

Proof -

Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.

1.)

Given statement - Vertical angles are congruent

Conditional statement - If two angles are vertical , then they are congruent.

Hypothesis - Two angles are vertical

Conclusions - They are congruent.

2.)

Given statement - Bats are mammals that can fly

Conditional statement - If bats are mammals , then they can fly.

Hypothesis - Bats are mammals

Conclusions - They can fly.

3.)

Given statement - You are a good citizen when you obey rules and regulations.

Conditional statement - If you are a good citizen , then you obey rules and regulations.

Hypothesis - You are a good citizen

Conclusions - You obey rules and regulations.

4.)

Given statement - A number is divisible by 10 if its last digit is a 0.

Conditional statement - If a number is divisible by 10, then its last digit is a 0.

Hypothesis - A number is divisible by 10

Conclusions - Its last digit is 0.

5.)

Given statement - 3x + 6 = 21, because x = 5​

Conditional statement - If 3x + 6 = 21, then x = 5

Hypothesis - 3x + 6 = 21

Conclusions - x = 5

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3 years ago
Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W
Alborosie
Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
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Future value of loan after 16 years
F=P(1+i)^n      [compound interest formula]
=135000(1+.005)^{16*12}
=351736.652

Future value of payments after 16 years
\frac{A((1+i)^n-1)}{i}
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Balance = future value of loan - future value of payments
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Step-by-step explanation:

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Answer:

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Diego is 59.5 inches tall. His brother is 40.125 inches tall. How much taller than his brother is Diego?

Diego is 19.375 inches taller than his brother.

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