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2 years ago

10

What are the terms and coefficients of the expression?

%20%2B%2015t" id="TexFormula1" title="12 + 8r - 3(s - 5) + 15t" alt="12 + 8r - 3(s - 5) + 15t" align="absmiddle" class="latex-formula">

1 answer:

Bess [88]2 years ago

6 0

Coefficients are 8,15

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Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest

hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

8 0

3 years ago

What is the slope of the line that passes through the points (7.-12) and (-9,36)?

REY [17]

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1

run = x2 - x1

where

the given point P1 = (7, -12)

and is in the form of (x1,y1)

and

the given point P2 = (-9,36)

is in the form of (x2,y2)

then

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

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) / ( - 16 )

m = 48 / - 16

m = - 3

the slope is negative 3

slope = - 3

4 0

2 years ago

Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an eq

Papessa [141]

Brother=b
b+9=11
b=2
2=1/5a
10=a
a=10

The answer is 10

Hope this helps :)

5 0

3 years ago

What is the value of 3-(-2)?

Lostsunrise [7]

Answer:

5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How do you find the base area of a rectangular prism and a cylinder? Please help

Pani-rosa [81]

Answer:

See explanation.

Step-by-step explanation:

The 'base' of a rectangular prism refers to only one side of the rectangular prism, which is a rectangle.

The formula for the area of a rectangle is as follows:

$A=lw$

Where A = area, l = length, and w = width.

The 'base' of a cylinder refers to only one side of the cylinder, which is a circle.

The formula for the area of a circle is as follows:

$A=\pi r^2$

Where A = area and r = radius.

Just in case you typed your question incorrectly and were asking for surface area, here is the formula for surface area for both as well:

Rectangular prism: $A=2(wl+hl+hw)\\$

Cylinder: $A=2\pi rh+2\pi r^{2}$

3 0

3 years ago