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3 years ago

HELP ME IM SO CONFUSED

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

1) 4812 students
2) 763 pounds
3) $30906.76

Step-by-step explanation:

Initial number = 2988
Rate of increase = 10%

Number of students after 6 years:

$a_6 = 2988(1+0.1)^{6-1} = 4812$

Initial number = 1200
Rate of decrease = 14%

Amount of gold after 4 years:

$a_4=1200(1-0.14)^3 = 763$

Initial number = 28000
Rate of increase = 2.5%

Salary after n years:

$a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}$

Salary in the 5th year:

$a_5=28000*1.025^4 = 30906.76$

Paha777 [63]3 years ago

3 0

Refer to the attachment

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What are the real solutions

Assoli18 [71]

Step-1 : Multiply the coefficient of the first term by the constant 1 • -2 = -2

Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is 1 .

-2 + 1 = -1 -1 + 2 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
 x2 - 1x + 2x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
 x • (x-1)
 Add up the last 2 terms, pulling out common factors :
 2 • (x-1)
Step-5 : Add up the four terms of step 4 :
 (x+2) • (x-1)
 Which is the desired factorization

Final result : (x + 2) • (x - 1) • (x - 3) • (2x - 5)

5 0

3 years ago

) find the original price of a pair of boots of the sale price is $120 after a 20% discount.

tia_tia [17]

X - (X)(.20) = $120
X (1 - .20) = $120
X (.80) = $120
X = $150
Original price of the boots was $150.

6 0

3 years ago

2V2 km 2 km X A) 2V5 km C) 2 km B) 2V3 km D) 4 km HELP PLEASEE

Rasek [7]

Answer:

$x=2\sqrt3\ km$

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = $2\sqrt{2} \ km$

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

$x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km$

So, the value of x is equal to $2\sqrt3\ km$ .

3 0

3 years ago

Given:

Fynjy0 [20]

Answer:

Option B is correct.

$\triangle RST \cong \triangle TUR$

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒ $TU \cong RS$ and $TS \cong RU$

In triangle RST and triangle TUR

$RS \cong TU$ [Side]

$TS \cong RU$ [Side]

$RT \cong RT$ [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

$\triangle RST \cong \triangle TUR$

5 0

4 years ago

Write an equation of the line that passes through (3,1) and (3,5).Write in slope-int.form (y=mx+b)

ahrayia [7]

The answer: y2-y1
x2-x1

5-1
3-3

4 divide 0= 0
y=mx + b
y=0+b
0=0+b

b= 0

8 0

3 years ago