Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.​

Answer:

Option C it is sure

,

A

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Answer:

4 ft = width of walkway

Step-by-step explanation:

It helps if you can draw a figure.

Let x = width of walkway

Length of pool + walkway = (2x + 15)

Width of pool + walkway = (2x + 15)

area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]

Area of the pool = 15(15) = 225

Now,

The area of the walkway = area of pool and walkway together - area of pool

304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225

304 = [tex]4x^{2}[/tex] + 60x

4[tex]x^{2}[/tex] + 60x - 304 = 0

4([tex]x^{2}[/tex] +15x - 76) = 0

4(x - 4)(x + 19) = 0

x = 4    x = -19

-19 must be discarded because a length cannot be negative

Therefore x = 4 ft = width of walkway

Answer:

3(4y + 6)

6(3 + 2y)

2(9+6y)

Step-by-step explanation:

When factored, all of them are equivalent to 12y + 18.

Answer:

6(2 + 3y), 6(3 + 2y), and 3(4y + 6)

Step-by-step explanation:

6(2 + 3y)= 18y+12

2(6 + 9)=30

209 + 6y)= can't factor

6(3 + 2y)= 12y+18

3(4y + 6)=12y+18

hope this helps :)

Answer:

what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).

Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

Your answer.

345161.29

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Answer:

345,161

Step-by-step explanation:

It means that [tex]32,100=.093x[/tex].  Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.

Answer:

We conclude that the value of k represented as a decimal rounded to the nearest tenth is:  [tex]k = 16.8[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

We need to determine the value of k, represented as a decimal rounded to the nearest tenth.

Let us solve the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

Apply cross-function multiply:   if [tex]\frac{a}{b}=\frac{c}{d}[/tex]  then [tex]a\cdot \:d=b\cdot \:c[/tex]

[tex]5k=7\cdot \:12[/tex]

[tex]5k=84[/tex]          ∵ 7 · 12= 84

Divide both sides by 5

[tex]\frac{5k}{5}=\frac{84}{5}[/tex]

Simplify

[tex]k=\frac{84}{5}[/tex]

[tex]k = 16.8[/tex]    (Rounded to the nearest 0.1 or  the Tenths Place)

Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is:   [tex]k = 16.8[/tex]

Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.

step 2. A = P(1 + r/n)^(nt)

step 3. A = 1600(1 + .03/12)^((12)(5)

step 4. A = 1600(1.0025)^(60)

step 5. A = $1858.59

Answer:

UW = 5

Step-by-step explanation:

use the altitude rule and set up a proportion:

4/UW = UW/6.25

cross-multiply:

UW² = 25

UW = [tex]\sqrt{25}[/tex]

UW = 5

Answer:

0.

Step-by-step explanation:

Add 14 on both sides:

-11v+0=v

So we have:

-11v=v

And there is only one number in the universe that can satisfy that and that is 0.

V = 0

-11v = v

0 = v + 11v

0 = 12v

0 = v

v = 0

Answer:

16 girls in the class

14 boys in the class

Step-by-step explanation:

Because of the ratio of 7:8, I added 7+8.

7+8= 15

30 (the number of students in the class) divided by 15 (the sum of the ratio)

30/15= 2

I then multiplied 8 from the "girls" part of the ratio by 2 (the quotient of 30/15) and got 16. Then I subtracted 16 from 30 and got 14, which s the number of boys in the class.

Hope this helps!

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

= [tex]\frac{2}{cosA}[/tex]

= 2secA = right side, thus verified

Answer:x= 38.079

Step-by-step explanation:

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

Answer:

x = 4

pls mark as brainliest...

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

Answer:

-13 degrees tell me if it's right

Answer:

-13 is the answer

Step-by-step explanation:

because -5-8= -13

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

Answer: 1/2

Step-by-step explanation:

There are 8 movies in total.

4 of those movies are romance movies.

The probability of picking a romance movie is the proportion of romance movies to the total number of movies.

= Number of romance movies / Number of total movies

= 4 / 8

= 1 / 2

Answer:

1/2

Step-by-step explanation:

Answer: illegel input- too many equals signs

Step-by-step explanation:

Answer:

12 phones

Step-by-step explanation:

15 x 12 = 180 add 180 to his 2000 and bam 2,180

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so