Mathematics, 17.04.2020 23:58 mateoperez496

Sue’s bank account has a balance of $899.83 before she starts spending money. She makes the following transactions:
Transaction
Cost ($)
Rent
353.76
Video game
32.79
Bike maintenance
60.26
Jacket
55.62
Rug
80.40
Night out
35.77

Sue is considering splitting the cost of a new TV with her roommate. Her share would be $305.22. Can Sue afford this?
a.
Yes, she can make the purchase and have money left over.
b.
Yes, but doing so will clear out her account.
c.
No, making that purchase will overdraw her account.
d.
No, she is overdrawn already.

Answers: 2

Show answers

Answers

Answer from: ronniethefun

c) No, making that purchase will overdraw her account.

Step-by-step explanation:

Her beginning balance is $899.83. After her first transaction, rent for $353.76, she has 899.83-353.76 = $546.07.

After her second transaction, a video game for $32.79 , she has $546.07-$32.79=$513.28.

After her third transaction, bike maintenance for $60.26 , she has $513.28-$60.26 = $453.02.

After her fourth transaction, a jacket for $55.62 , she has $453.02-$55.62=$397.40.

After her fifth transaction, a rug for $80.40, she has $397.40-$80.40=$317.

After her last transaction, a night out for $35.77 , she has $317-$35.77=$281.23.

She does not have $305.22 to put towards the television; if she takes this out she will overdraw her account.

Answer from: shanayamcinnis15

c. No, making that purchase will overdraw her account.

Step-by-step explanation:

1. Add all of the transaction costs, 353.76+32.79+60.26+55.62+80.40+35.77= 618.6.

2. Subtract 618.6 from 899.83, you get 281.23

3. Compare 305.22 and 281.23, 305.22 > 281.23.

4. No, making that purchase will overdraw her account.

Answer from: Quest

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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Sue’s bank account has a balance of $899.83 before she starts spending money. She makes the followin...