Value of Sara's Value of Joe's Acct Birtiday Age Act 20 $1,000 $2.083 21 22 $3,257 23 $4528 $5.905 $7.397 24 25 26 $9,013 621 [09 27 $10,764 28 $12,660 29 $14.715 581 30 $16,940 $1,000 S2 083 31 S18351 561 $3,257 32 $19.880 $4.528 33 $21,535 [zs 34 $23329 $5,905 [os $25,272 35 $7,397 $27377 36 $9.013 37 $29,657 $10,764 46 38 $32,127 $12,660 44 $34803 39 $14,715 [2] for $37,701 $16,940 41 $40,841 $19,351 42 $44,243 S21.963 43 $47,928 $24,792 44 $51,919 $27,857 $31177 $34.774 SIR670 45 $56,243 34 46 S60,928 Stifi.002 47 48 $71,499 $42,891 $47,463 49 $77454 1261 50 SB3,905 $52,416 51 $90,894 $98.464 $106 665 $57,781 52 $63.594 Izz 53 $69,890 54 $115,548 $76,711 55 $125,172 $84,100 56 $135,597 $92,105 57 $146,891 $100,776 58 $159,125 $110,169 Account Value (in thousands) $120.345 59 $172,378 60 SIB6.735 $131,368 61 $202.287 $143,309 62 $219,135 $156,245 Investment Strategy Comparison: Sara vs. Joe ponjen- junoooy Value of s por aunocoy Birthday Age
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Sara and Joe are two students who are the same age, share the same birthday, and are planning for their eventual retirement. The task for this problem is to compare each of their retirement investment strategies by analyzing the information provided and then answering the questions that follow.
Note: No formulas are necessary to answer the questions asked in this problem. Please analyze and use only the information provided in answering the parts to this question.
Sara’s Strategy: On each of her birthdays, beginning on her 20th and ending on her 30th, Sara deposits $1000 in an investment account (a total of 11 deposits). After her 30th birthday deposit, she leaves the total amount in her account but does not add anything to it.
Joe’s Strategy: On each of his birthdays, beginning on his 30th, Joe continues to deposit $1000 in an investment account.
Both the graph and the table on the next page represent the amount of money (rounded to the nearest dollar) in Sara’s and Joe’s respective accounts on their birthdays after any deposits are made (if any are made) up until age 62. Also, both the graph and table of values were created under the assumption that both Sara and Joe are investing in the same type of account that earns 8% interest compounded continuously.
- When Sara is 40 years old, how much will she have in her account?
- When Joe is 40 years old, how much will he have in his account?
- Find the percentage increase in Sara’s account between age 50 and 54.
- At what age will Joe catch up to Sara?
- At age 62, how much total out-of-pocket money has Sara deposited in her account?
- At age 62, how much total out-of-pocket money has Joe deposited in his account?
![Value of Sara's
Value of
Joe's Acct
Birtiday Age
Act
20
$1,000
$2.083
21
22
$3,257
23
$4528
$5.905
$7.397
24
25
26
$9,013
621
[09
27
$10,764
28
$12,660
29
$14.715
581
30
$16,940
$1,000
S2 083
31
S18351
561
$3,257
32
$19.880
$4.528
33
$21,535
[zs
34
$23329
$5,905
[os
$25,272
35
$7,397
$27377
36
$9.013
37
$29,657
$10,764
46
38
$32,127
$12,660
44
$34803
39
$14,715
[2]
for
$37,701
$16,940
41
$40,841
$19,351
42
$44,243
S21.963
43
$47,928
$24,792
44
$51,919
$27,857
$31177
$34.774
SIR670
45
$56,243
34
46
S60,928
Stifi.002
47
48
$71,499
$42,891
$47,463
49
$77454
1261
50
SB3,905
$52,416
51
$90,894
$98.464
$106 665
$57,781
52
$63.594
Izz
53
$69,890
54
$115,548
$76,711
55
$125,172
$84,100
56
$135,597
$92,105
57
$146,891
$100,776
58
$159,125
$110,169
Account Value (in thousands)
$120.345
59
$172,378
60
SIB6.735
$131,368
61
$202.287
$143,309
62
$219,135
$156,245
Investment Strategy Comparison: Sara vs. Joe
ponjen-
junoooy
Value of
s por
aunocoy
Birthday Age](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cad0cff-46d6-4a6f-b329-d3116bd01423%2F20057810-ea06-455a-a218-79f340144a76%2Fjeuf84m.png&w=3840&q=75)
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