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oksian1 [2.3K]
3 years ago
8

Problem 8 - Simple and Compound Interest

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

P8) t=7.02 years

P4) Today you have to invest $6941.55

P8) Is the same P8 above

Step-by-step explanation:

P8) First of all, we can list the knowns VP=7425.70, I=3250 and i=5.3%, so we use VF=VP+I=7425.70+3250=10675.70 then we use t=\frac{ln(VF/VP)}{ln(1+i)}=\frac{ln(10675.70/7425.70)}{ln(1+0.053)}  =\frac{0.363}{0.051}=7.02 years

P4) First of all, we can list the knowns VF=9500, t=8 and i=4%, so we use VP=\frac{VF}{(1+i)^{t} } =\frac{9500}{(1+0.04)^{8} } =6941.55

P8) Is the same P8 above

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Answer:

112

Step-by-step explanation:

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Factor the expression below 36a2-25b2 which binomial is factor of the expression
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Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

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