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quester [9]
3 years ago
8

Joe Hernandez has inherited $25,000 and wishes to purchase an annuity that will provide him with a steady income over the next 1

2 years. He has heard that the local bank is currently paying 6% p.A. (compounding annually). If he were to deposit his fund, what is the equal amount would he be able to withdraw at the end of each year for 12 years?
Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer:

p=2982

Step-by-step explanation:

Rate of interest = 6 % p.a

No of year = 12

P.V = $ 25000

Installments (p) = ?

We know the formula of P.V annuity

P.V = P[ 1-(1+r)-n/r]

25000 = P[1-(1+0.06)-12/0.06]

P = 2982 will withdraw annuity

elena-14-01-66 [18.8K]3 years ago
7 0
2 always the same number
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AfilCa [17]

Answer:

2<x<4/3

Step-by-step explanation:

Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.

Solving the resulting equation

|3x-5| > 1.

Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.

For positive value of the function;

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For the negative value of the function;

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On expansion

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Combining equation 1 and 2, we have;

2<x<4/3

6 0
3 years ago
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Which expression has the same GCF as 15x2 - 21x?
Mice21 [21]

Answer:

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Step-by-step explanation:

We have the following expression:

15x^2 -21 x

We can find the GCF with the following steps.

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The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

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If we consider the new expression:

15x^2 +21x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

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