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2 years ago

Real Estate Agent:

Mathematics

1 answer:

ANEK [815]2 years ago

3 0

Step-by-step explanation:

Cost of 4 lots for $48,000= 48000*4

=$192,000

Sales made from all 7 lots = 33000*7

= $213,000

Profit =213,000-192,000

Profit =$39,000

Percent profit =(39000/192000) *100

=0.20*100

=20%

Total interest formula=

Principal Loan Amount x Interest Rate x Time

Interest =30000x0.12x5

Interest = $18,000

Monthly payments for 5 years

= 18000/12*5

=18000/60

=$300

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Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL

Mice21 [21]

Answer:

$KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47$

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

$\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}$

Also

$m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ}$ (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

$NL=45\tan 50^{\circ}$

$m\angle KLN=m\angle LNM=40^{\circ}$ (alternate interior angles)

$m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ}$ (angles KNL and KLN are complementary).

So,

$\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08$

and

$\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47$

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3 years ago

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Jake mowed 216 sq.yd. of lawn in 3 hr. Ricky mowed 108 sq.yd. of lawn in 2 hr.

algol13

Answer:

108 Square Yards

2 Hours

Step-by-step explanation:

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All you do is look at the question and it says he mowed 108 square yards in 2 hours.

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2 years ago

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Use the graph of the function g to answer the following. use correct formatting for your work

netineya [11]

9514 1404 393

Answer:

f(-2) = 4
f(1) = -5
D: [-3, ∞)
R: [-5, 11]

Step-by-step explanation:

You have marked the points on the graph corresponding to ...

f(-2) = 4

f(1) = -5

The domain is the horizontal extent, from x = -3 to +∞.

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2 years ago

A town's population is 14,280, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it i

fgiga [73]

Answer:

27 years

Step-by-step explanation:

Given that :

Town A:

Initial population = 14280

Rate = increase by 160 per year

Let t = time in years

Population is thus :

14280 + 160t - - - (1)

Town B:

Initial population = 24000

Rate = decrease by 200 per year

P = 24000 - 200t - - - (2)

Equate both equations :

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t = 9720 / 360

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In 27 years

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MA_775_DIABLO [31]

Find the ticket unit cost: divide the total paid, $324, by the number of tickets, x. Then the form of the unit cost is

$324

--------- .

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$324

----------------- = $3.24/ticket

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3 years ago

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