MATHEMATICS HIGH SCHOOL

Negative 4 plus 8 equals

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

You add -4 with 8 so you have -4 + 8 = 4

Answer 2

Answer: The answer to that would be 4.

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Which number is larger, .8 or .1?

Answers

.8 because .1 is smaller

Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?

Answers

Answer: Brian invested $16000 in Fund B .

Step-by-step explanation:

Let x be the amount Brian invested in Fund B.

Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.

i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320

Profit on Fund B = 1% of x = 0.01x

Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)

= 0.02(8000+x)

As per question,

Combined profit=Profit on Fund A+Profit on Fund B

$\Rightarrow\ 0.02(8000+x) =320+0.01x\n\n\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\n\n\Rightarrow\ 160+0.02x=320+0.01x\n\n\Rightarrow\ 0.02x-0.01x=320-160\n\n\Rightarrow\ 0.01x=160\n\n\Rightarrow\ x=(160)/(0.01)\n\n\Rightarrow\ x=16000$

Hence, Brian invested $16000 in Fund B .

What is the word form of the number 43.06?

Answers

word form of 43.06:
forty-three and six hundredths.

Hope it helps

43.06 its forty-three and six hundredths

Is 19/4 feet long piano will fit on 5 feet long space?

Answers

simplify by dividing 19 by 4
the closest we can get is 16/4=4 and the remainder 3/4

so the piano is 4 and 3/4 foot long which is less than 5 so it will fit

4 go into 19 4 times which would be 16 and with 3 left over so it would be 4 3/4.

Sunglass World marks up its designer sunglasses 220%. The manufacturer charged Sunglass World $14.33 for a specific brand and model. What is the selling price of that pair of sunglasses at Sunglass World?

Answers

To answer the question above, multiply the mark up percentage of Sunglass World which is 220% to the manufacturer price, $14.33. The result of the multiplication is $31.526. Thus, the sunglasses will be sold at a price of $31.526 at the store.

The selling price is $31.53

Find an equation of the line satisfying the given conditions

Through (6,4); perpendicular to 3X + 5Y =38

Answers

To answer this, we will need to know:

• The slope of the equation we are trying to get
• The point it passes through using the

First, we will need to find the slope of this equation. To find this, we must simplify the equation $3x+5y=38$ into $y=mx+b$ form. Lets do it!

$3x+5y=38$
= $5y = -3x+38$ (Subtract 3x from both sides)
= $y= -(3)/(5)x+ (38)/(5)$ (Divide both sides by 5)

The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.

The negative reciprocal of the line given is $(5)/(3)$ .

Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:

$(y-y _(1) )/(x- x_(1) )=m$

Substituting values, we find that:

$(y-4)/(x-6)= (5)/(3)$

By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:

$y= (5)/(3)x-6$ , which is our final answer.

Thank you, and I wish you luck.

$(6,4); 3x + 5y =38 \ subtract \ 3x \ from \ each \ side \n \n 5y = -3x + 8 \ divide \ each \term \ by \ 5 \n \n y = -\frac{3} {5}x + (38)/(5)\n \n The \ slope \ is :m _(1) = - (3)/(5) \n \n If \ m_(1) \ and \ m _(2) \ are \ the \ gradients \ of \ two \ perpendicular \n \n lines \ we \ have \ m _(1)*m _(2) = -1$

$m _(1) \cdot m _(2) = -1 \n \n -(3)/(5) \cdot m_(2)=-1 \ \ / \cdot (-(5)/(3)) \n \n m_(2)=(5)/(3)$

$Now \ your \ equation \ of \ line \ passing \ through \ (6,4) would \ be: \n \n y=m_(2)x+b \n \n4=(5)/(\not3^1) \cdot \not 6^2 + b$

$4=5 \cdot 2+b\n \n4=10+b \n \nb=4-10\n \nb=-6 \n \n y = (5)/(3)x -6$

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