simplify expression: 3f+8(2m-7)

If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?

Amount Invested in Fund  A = x

Amount invested in Fund  B = x+7000

Profit from fund A = 0.04x

Profit from fund B = 0.02(x+7000)

0.04x +0.02(x+7000) = 500

0.04 +0.02x + 140 =500

Combine like terms

0.06 x =360

Divide both side by 0.06x

x = 360 /0.06

x = 6,000

Amount Invested in Fund A = x =6,000

Amount invested in Fund B = x+7000

Amount invested in Fund B = 6,000 + 7,000

Amount invested in Fund B = 13,000

Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.

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Answer:

y=-5/6x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-7))/(-6-6)

m=(3+7)/-12

m=10/-12

simplify

m=-5/6

y-y1=m(x-x1)

y-(-7)=-5/6(x-6)

y+7=-5/6x+30/6

y+7=-5/6x+5

y=-5/6x+5-7

y=-5/6x-2

Answer:

radian

Step-by-step explanation:

1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.

36 deg

1/10 of a circle is equal to 36 deg.

Answer:

r = 3.02 cm

Step-by-step explanation:

V cone = πr²h/3

r = √(3V/πh)

r = √(3(143.56)/π(15))

r = 3.0231297

Answer:

14 cm

Step-by-step explanation:

The length of the line segment, LP is; 14 cm

From the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.

However, from the task content also, the point P is the point of intersection of the two diagonals.

On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;

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The polynomial x⁴ + 3x³ - x - 2 will have a remainder of 1 when divided by x + 1 and the result can be written in the form (x³ + 2x² + 2x - 3) + 1/(x + 1).

Using the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder

We shall divide the polynomial x⁴ + 3x³ - x - 2 by x + 1. as follows;

x⁴ divided by x equals x³

x + 1 multiplied by x³ equals x⁴ + x³

subtract x⁴ + x³ from x⁴ + 3x³ - x - 2 will result to 2x³ - x - 2

2x³ divided by x equals 2x²

x + 1 multiplied by 2x² equals 2x³ + 2x²

subtract 2x³ + 2x² from 2x³ - x - 2 will result to 2x² - x - 2

2x² divided by x equals 2x

x + 1 multiplied by 2x equals 2x² + 2x

subtract 2x² + 2x from 2x² - x - 2 will result to -3x - 2

-3x divided by x equals -3

x + 1 multiplied by -3 equals -3x - 3

subtract -3x - 3 from -3x - 2 will result to a remainder of 1.

Therefore, the polynomial x⁴ + 3x³ - x - 2 divided by x + 1 gives a quotient x³ + 2x² + 2x - 3 and a remainder of 1 and can be written as (x³ + 2x² + 2x - 3) + 1/(x + 1).

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Answer:

They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.

Step-by-step explanation:

9514 1404 393

Answer:

  26.1 ft

Step-by-step explanation:

The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

Filling in the known values, we have ...

  sin(25°) = height/(50 ft)

  height = (50 ft)sin(25°) ≈ 21.1 ft

Added to the height at which you are holding the string, this becomes the total height of the kite.

  h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite

Answer:

Option B, 5/48 yd³

Step-by-step explanation:

[tex] \frac{5}{6} \times \frac{1}{4} \times \frac{1}{2} [/tex]

[tex] = \frac{5}{4} [/tex]

Answer: x = 9

Step-by-step explanation: To find the value of x, we must understand a few things:

- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.

Now, with that out of the way, I have one more thing to explain.

- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:

22 - 4 = ?

? = 18

18 / 2 = ?

?(x) = 9

Therefore, x = 9

We can check our answer by doing:

| 2(9) + 4 | = 22

2 x 9 = 18

18 + 4 = 22

22 = 22

So, both answers add up, so x = 9

I hope this helps!

Answer:

$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3

$14.40 for 3 dozen I'm pretty sure

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Answer:

1.66

Step-by-step explanation:

Using the Chi square statistic (χ²) test :

χ² = Σ(Oi - Ei)² / Ei

Expected, Ei :

Freshmen = 30% * 300 = 90

Sophomore =24% * 300 = 72

Junior = 26% * 300 = 78

Senior = 20% * 300 = 60

Observed, Oi :

Freshmen = 83

Sophomore = 68

Junior = 85

Senior = 64

χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)

χ² = 49/90 + 16/72 + 49/78 + 16/60

χ² = 0.544 + 0.222 + 0.628 + 0.267

χ² = 1.661

The test statistic = 1.66

The percentage of the total marks that Edet gets is 60%

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this situation, the score of Edet will be:

= 48 + 52 + 46 + 46 + 44 + 52

= 288

Total score = 80 × 6

= 480

The percentage will be:

= 288 / 480 × 100

= 60%

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Answer:

$980

Step-by-step explanation:

Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420

Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700

Step 3: Add both results together

[tex]420 + 700 = 1120[/tex]

Step 4: Subtract the result from how much joe earns ($2,100)

[tex]2100 - 1120 = 980[/tex]

Joe has $980 left

If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.

Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is

(1/5) * $2,100 = $420.

Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.

To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.

To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.

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Answer: 571.11111...(Fraction: 9/28)

Step-by-step explanation:

5,140÷9 = 571.11111...

Answer:

33

Step-by-step explanation:

48 - 15 = 33

Answer:

33??

Step-by-step explanation:

Answer:

Given:

-> Area of the wall: 500sq. feet

-> 1 gallon of paint covers 160sq. feet of area

-> By unitary method:

-> 1 ft. square of wall requires 1/160 gallon of paint

Thus,

-> 500 ft. square of wall will require = 500 x 1/160 gallons of paint

= 3.0125 gallons

Hope it helps :)

Though my answer may be wrong :(

Have a great day!

Answer:

14

Step-by-step explanation:

5 quarts = 10 pints

10 pints + 4 pints = 14 pints

Answer:

what's the question? I don't know

Answer:

9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)

Area of little square:

2 x 2 = 4

Area of two triangles:

2 x 2 = 4

4 divided by 2 = 2

5 x 2 = 10

10 divided by 2 = 5

The summed up area's of triangles:

5 + 2 = 7

7 + 4(little square's area)  = 11

11 + 31.5 = 42.5

Answer: [tex]\$11.5[/tex]

Step-by-step explanation:

Given

Demand function is [tex]p=22-2q[/tex]

The average cost function is [tex]c=2+q[/tex]

Total revenue is the product of demand and the price per unit.

[tex]r=\left(22-2q\right)q[/tex]

Profit is given by the difference of the total revenue and the cost

[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]

Find the derivative of profit to get the maximum profit

[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]

Put q in the equation of demand to get the price

[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]

Answer: its 18.27  

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Answer:

tan =opposite divided by adjacent

therefore tan j is 11÷60 = 0.1833

tan-1 0.1833= 10.39

so tan j is 10.39

tan l is 60 ÷11 = 5.4545

tan-1 5. 4545= 79.61

hope it made sense

Answer:

96m

Step-by-step explanation:

Answer:

The correct answer is 48 m.

Step-by-step explanation:

To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.

I also had a quiz on this and I got it correct after I checked my work. Have a good one mate

Answer: C

Step-by-step explanation: 52 weeks in a year. 61870/52 is 1,189.81.

Answer:

No.

Step-by-step explanation:

This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.

Step-by-step explanation:

Answer:

3

Step-by-step explanation: