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satela [25.4K]
3 years ago
13

Three financial institutions, A,B,C, are offering different rates on a loan. Is a offer 3.15 % annual compounded monthly, B offe

rs 2.25% compounded quarterly, C offers 2.05% compounded daily. Determine which of the institutions offers best deal. Explain and make a conclusion.
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that interest rates are as follows:

Let P be 100 dollars for each.

A) 3.15% compounded monthly.

Hence amount = 100(1+\frac{3.15}{1200} )^{12}

Final amount = 103.20 dollars

B) 2.25% compounded quarterly

Final amt. = 100(1+\frac{2.25}{400} )^4

=102.27

C) 2.05% compounded daily

Amount = 100(1+\frac{2.05}{36500} )^{365}

=102.07

Obviously A is the best deal.

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Answer:

  • (2, 3)

Step-by-step explanation:

<u>The rule for this dilation is:</u>

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<u>Apply this rule to point B(4, 6):</u>

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4 0
3 years ago
Read 2 more answers
3. What are the roots of the polynomial y = x³ - 8?
zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

{a}^{3}  -  {b}^{3}  = (a - b)( {a}^{2}  + ab +  {b}^{2} )

Cube root of x^3 is x.

Cube root of 8 is 2

So

a=x

b= 2.

(x - 2)( {x}^{2}  - 2x + 4)

Set these equations equal to zero

x - 2 = 0

x = 2

{x}^{2}  - 2x + 4 = 0

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

1 + i  \sqrt{ 3 }

and

1 - i \sqrt{3}

4 0
1 year ago
Solve the following inequality algebraically. ∣x−5∣≤11
Igoryamba

Answer:

-6\leq x\leq 16

Step-by-step explanation:

So we have the inequality:

|x-5|\leq 11

Definition of Absolute Value:

x-5\leq 11\text{ or } x-5\geq -11

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

x\leq 16\text{ or } x\geq -6

Merge:

-6\leq x\leq 16

And we're done!

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3 years ago
Which quadrant does the point (-3, 6) lie in?<br><br> Quadrant IV<br> Quadrant I<br> Quadrant II
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It should be in Quadrant II! <3

6 0
3 years ago
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Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9,8 and 7(separate number sum for each mu
jok3333 [9.3K]

Answer:

Sum of 2 digit = 48

Sum of 3 digit = 317

Sum of 4 digit = 3009

Total = 3374

Step-by-step explanation:

Given:

9, 8 and 7

Required

Sum of Multiples

The first step is to list out the multiples of each number

9:- 9,18,....,99,108,117,................,999

,1008

,1017....

8:- 8,16........,96,104,...............,992,1000,1008....

7:- 7,14,........,98,105,.............,994,1001,1008.....

Calculating the sum of smallest 2 digit multiple of 9, 8 and 7

The smallest positive 2 digit multiple of:

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- 8 is 16

- 7 is 14

Sum = 18 + 16 + 14

Sum = 48

Calculating the sum of smallest 3 digit multiple of 9, 8 and 7

The smallest positive 3 digit multiple of:

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- 8 is 104

- 7 is 105

Sum = 108 + 104 + 105

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Calculating the sum of smallest 4 digit multiple of 9, 8 and 7

The smallest positive 4 digit multiple of:

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- 8 is 1000

- 7 is 1001

Sum = 1008 + 1000 + 1001

Sum = 3009

Sum of All = Sum of 2 digit + Sum of 3 digit + Sum of 4 digit

Sum of All = 48 + 317 + 3009

Sum of All = 3374

4 0
3 years ago
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