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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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10) A new car is available in a sedan model and
Dafna11 [192]

Answer:

Option (C) n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

Step-by-step explanation:

A new car is available in a sedan model and a hatchback model.

So that means customers can select the model of the car in,

n₁ = 2 ways

It is available in eight  different colors.

After selecting the model, customers can select the color of the car in,

n₂ = 8 ways

Customers can choose to add any combination of four optional features.

After selecting the color, customers have the choice to add any combination of 4 optional features,

n₃ = 4² = 16 ways

Which means that there are 16 different ways to add 4 optional features e.g.

1. 0, 0, 0, 0

2. 0, 0, 0, 1

3. 0, 0, 1, 0

4. 0, 0, 1, 1

and the list goes on to 16 different ways.

Now the total ways to select a car is given by

n = n₁*n₂*n₃

n = 2*8*16

n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

6 0
3 years ago
Please look at the picture!
belka [17]

Answer:

It's A my friend

Step-by-step explanation:

6 0
3 years ago
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The temperature dropped 2 F every hour for 7 hours. What was the total number of
creativ13 [48]

Answer:

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3 0
3 years ago
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M3+ 3 m3 + 4 m²<br><br>simplify​
Kipish [7]

Answer:

{m}^{3}  +  {27}^{m}  + 4 {m}^{2}

Step-by-step explanation:

{m}^{3}  +  {3}^{m 3}  + 4 {m}^{2}

{m}^{3}  +  {3}^{m \times 3}  + 4 {m}^{2}

{m}^{3}  +  {3}^{3m}  + 4 {m}^{2}

{3}^{3m}  =  ({3}^{3}  {)}^{m}  =  {27}^{m}

➡️ {m}^{3}  +  {27}^{m}  + 4 {m}^{2}

5 0
2 years ago
Please help me! 7 points!! I don’t understand
SVETLANKA909090 [29]

This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.

For the resulting sum we can use the Law of Cosines or just add up the components.  Let's try it both ways.

Components first.   In the east direction we have

300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour

In the north direction we have

0 + 100 sin 30° = 100 (1/2) =  50 miles per hour

So a total speed of

sqrt{386.6^2 + 50^2} = 389.82 miles per hour

Answer: 389.82

--------

OK let's try the Law of Cosines.   We have sides 300 and 100 and included angle 150°.

c^2 = 300^2 + 100^2 - 2 (300)(100) \cos 150^\circ

c=\sqrt{151961.52422} = 389.82 \quad\checkmark

5 0
3 years ago
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