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PtichkaEL [24]
2 years ago
13

you take out a mortgage for 350,000$ at 4% compounded monthly your payment is 1671$ write a recursive formula

Mathematics
1 answer:
Ymorist [56]2 years ago
4 0

Answer:

Not sure if this is right but it might be something like

350,000-4%+1671m

or

3500,000-4%y/1671m

Step-by-step explanation:

The numbers we know are 350,000 4% and 1671 per month

350,000 is the full mortgage

4% is the APR or annual percentage rate like interest

and we know the monthly for the mortgage is 1671 per month

You might be interested in
we want to build a box with square base of side x and height and in such a way that the volume is 128 cubic inches. If we know t
sergij07 [2.7K]

Answer:

4 in × 4 in × 8 in or  

6.47 in × 6.47 in × 3.06 in

Step-by-step explanation:

Data:

(1)                  V = 128 in³

(2)                  l = w = x

(3) 4(l + w + h) = 64 in  (There are 12 edges)

Calculation:

The formula for the volume of the box is

(4)                 V = lwh

(5)              128 = x²h          Substituted (1) and (2) into (4)

(6)                  h = 128/x²     Divided each side by x²

          l + w +h = 16            Divided (1) by 4

          x + x + h = 16           Substituted (2) into 6

(7)          2x + h = 16           Combined like terms

     2x + 128/x² = 16           Substituted (6) into (7)

        2x³ + 128 = 16x²        Multiplied each side by x²

2x³ - 16x²+ 128 = 0            Subtracted 16x² from each side

    x³ - 8x² + 64 = 0           Divided each side by 2

According to the Rational Zeros theorem, a rational root must be a positive or negative factor of 64.

The possible factors are ±1, ±2, ±4, ±8, ±16, ±32, ± 64.

After a little trial-and-error with synthetic division (start in the middle and work down) we find that x = 4 is a zero.              

4|1   -8     0   64

 <u>|      4  -16  -64 </u>

   1  -4  -16      0

So, the cubic equation factors into (x - 4)(x² - 4x + 16) = 0

We can use the quadratic formula to find that the roots of the quadratic are

x = 2 - 2√5 and x = 2+ 2√5

We reject the negative value and find that there are two solutions to the problem.

x = 4 in and x = 2 + 2√5 ≈ 6.472 in

Case 1. x = 4 in

h = 128/x² = 128/4² = 128/16 = 8 in

The dimensions of the box are 4 in × 4 in × 8 in

Also, 4(l + w + h) = 4( 4 + 4 + 8) = 4 × 16 =  64 in

Case 2. x = 6.472 in

h = 128/x² = 128/6.472² = 128/41.89 = 3.056 in

The dimensions of the box are 6.47 in × 6.47 in × 3.06 in

Also, 4(l + w + h) = 4( 6.47 + 6.47 + 3.06) = 4 × 16.00 =  64 in

The two solutions are

(a) 4 in       × 4 in      × 8 in

(b) 6.47 in × 6.47 in × 3.06 in    

7 0
3 years ago
What is the value of 1/6^0
Aneli [31]

Answer:

1

Step-by-step explanation:

Anything to the power of 0 will equal 1.

For example 1^0=1

                     300^0=1

                     and so on........

so 1/6 ^0 = 1

6 0
2 years ago
Read 2 more answers
If a graph is said to be EVEN, what can you say about its symmetry?
stealth61 [152]

Answer:

A function is said to be an even function if its graph is symmetric with respect to the y-axis. For example, the function f graphed below is an even function. Verify this for yourself by dragging the point on the x-axis from right to left. Notice that the graph remains unchanged after a reflection across the y-axis!

4 0
3 years ago
Find the length of side c of a triangle if side a = 15 and side b = 20. A. 25 B. 17.5 C. 20 D. 15
likoan [24]

If one side of a triangle is 15 and another side is 20, then the third side
can be any length between 5 and 35. There are an infinite number of
possible triangles.

IF it happens to be a RIGHT triangle AND side 'a' and side 'b' happen
to be its legs, then the length of the third side is 25.  But you didn't
mention any of those details. 

4 0
3 years ago
Only a very small (&lt;5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribu
horsena [70]

Answer:

A. True

Step-by-step explanation:

The empirical rule in statistics states that:

  • 68% of the data will be within 1 standard deviation
  • 95% of the data will be within 2 standard deviations
  • 99.7% of the data will be within 3 standard deviations

So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.

5 0
3 years ago
Read 2 more answers
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