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delawdermia27
19.12.2020 •
Mathematics
NEED HEL
1.Lilith purchased a lawn mower for $4,415. It depreciates 1.7% each year. What is the value of the lawn mower after five years?
A.$4,383.82
B.$4,803.25
C.$4,052.27
D.$4,339.95
2.The population of a city is 53,414 and grows continuously at a rate of 4.5% each year. What is the approximate population of the city in 13 years?
A.84,661
B.95,878
C.61,577
D.95,773
3.A local game store earns a profit of $15.50 for every game they sell. The profit from every game they sell is deposited directly into their savings account which currently has a balance of $469. If their goal is to increase their balance to $825.50, which equation will help the store determine how many games they must sell?
A.$469x + $15.50 = $825.50
B.$15.50x + $469 = $825.50
C.$469x - $15.50 = $825.50
D.$15.50x - $469 = $825.50
4.A local game store earns a profit of $19.50 for every game they sell. The profit from every game they sell is deposited directly into their savings account which currently has a balance of $289. If their goal is to increase their balance to $601.00, how many games must the store sell?
A.46
B.14
C.31
D.16
5. Barry spent less than $25 on lunch for his co-workers. If burgers cost $3.75 each and sodas cost $1.75 each, which of the following is not a possible combination of burgers and sodas that Barry could have purchased?
A.5 burgers, 2 sodas
B.6 burgers, 1 soda
C.5 burgers, 4 sodas
D.4 burgers, 5 sodas
Solved
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Ответ:
$4,052.27 ; 94661 ; $15.50x + $469 = $825.50 ; 16 ; C
Step-by-step explanation:
Given the questions:
1.)
Purchase price = 4415
Depreciation rate = 1.7% per year
Value after 5 years
Value = Purchase price( 1 - 1.7% * time)
1.7% = 0.017 ; t = 5 years
Value = 4415(1 - 0.017)^5
Value = 4415(0.983)^5
Value = 4415 * 0.917841286185143
Value = 4052.269278507406345
= $4,052.27
2.)
Initial population = 53414
Growth rate = 4.5% = 0.045
Population size in 13 years
Population = 53414(1 +0.045)^13
Population = 53414(1.045)^13
Population = 53414 * 1.7721960972
Population = 94660.08233810667
94,661
3.)
Current balance = $469
Target balance = $825.50
Profit per game = $15.50
Number of games they must sell to achieve target balance :
Current balance + (profit per game * number of games) = target balance
Let number of games = x
$469 + $15.50x = $825.50
B.$15.50x + $469 = $825.50
4.
Current balance = $289
Target balance = $601
Profit per game = $19.50
Number of games they must sell to achieve target balance :
Current balance + (profit per game * number of games) = target balance
Let number of games = x
289 + 19.50x = 601
19.50x = 601 - 289
19.50x = 312
x = 312 / 19.50
x = 16 games
5.
Cost per burger = 3.75
Cost per soda = 1.75
Amount spent = < 25
Comparing the options :
A.5 burgers, 2 sodas
5(3.75) + 2(1.75) = 22.25 ( possible)
B.6 burgers, 1 soda
6(3.75) + 1(1.75) = 24.25(possible)
C.5 burgers, 4 sodas
5(3.75) + 4(1.75) = 25.75 (not possible)
D.4 burgers, 5 sodas
4(3.75) + 5(1.75) = 23.75 ( possible)
Ответ: