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2 years ago

9

Damien deposited $100 into his savings account. He then deposits $15 three times per month. Write an equation that shows the amo

unt in Damien's savings account after t months

1 answer:

Damm [24]2 years ago

3 0

Answer: 100 + 45t

Step-by-step explanation:

From the question, we are informed that Damien deposited $100 into his savings account and that he then deposits $15 three times per month.

The equation that shows the amount in Damien's savings account after t months will then be:

= $100 + [($15 × 3) × t months]

= $100 + $45t

= 100 + 45t

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Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

5 0

2 years ago

kolezko [41]

Answer:

1/8 = 0.125

3/5= 0.60

30%=0.3

0.45=9/20

1.5=150%

Hey try to do these question by your self next time OwO

4 0

3 years ago

Anybody know what the answer is

koban [17]

5. million 6. Ten thousand

6 0

2 years ago

How to round 21.38 to the nearest tenth?

stealth61 [152]

The answer to that is 40

4 0

3 years ago

Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games

Tresset [83]

Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

8 0

2 years ago