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

$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)

56

step-by-step explanation:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents