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2 years ago

9

a bank loaned out $18,000, part of it at the of 8% per year and the rest at 16% per year. if the interest received in one year t

otaled $2000, how much was loaned at 8%?

1 answer:

labwork [276]2 years ago

7 0

1,800 bc you take away the 8%

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love history [14]

Answer:

Tallahassee's Range: 6

Key West's Range: 4

Step-by-step explanation:

To calculate range, you'd subtract the lowest value from the highest value

Tallahassee:

Highest Value: 90

Lowest Value: 84

Range: 90 - 84 = 6

Key West:

Highest Value: 87

Lowest Value: 83

Range: 87 - 83 = 4

3 0

3 years ago

0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

3 years ago

Which shape has four congruent sides and two sets of parallel sides?

Nonamiya [84]

Answer:

a square

Step-by-step explanation:

8 0

3 years ago

Use the Distributive Property to rewrite the algebraic expression. 7(6m + 7)

jeka57 [31]

Step-by-step explanation:

first, distribute 7 to 6m (this means 7 • 6m)

7 • 6m = 42m

then distribute 7 to 7 (which is 7 • 7)

7 • 7 = 49

your simplified expression is <u>42m + 49</u>. i hope this helps! have a great day <3

6 0

3 years ago

Which equation represents the transformed function below?

Marta_Voda [28]

If we know the concepts of transformations and <em>horizontal</em> translation and that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).

<h3>How to determine the transformed function in terms of its parent function</h3>

The transformation of functions are operations which modify the relationship between input and outputs in a function. The <em>parent</em> function represents a <em>canonical square root</em> function and the <em>transformed</em> function is the consequence of applying a <em>horizontal</em> translation.

This kind of transformation is defined by the following expression:

g(x) = f(x - k) (1)

Where k represents a <em>rightward</em> translation for k > 0.

If we know that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).

To learn more on transformations: brainly.com/question/11709244

#SPJ1

5 0

2 years ago