5. A bank has outstanding loans worth $10,000. Some were loan at 10% and some
were loaned at 7%. If the income from these loans was $820, how much was
loaned at 10%?

Answer:

The factors that compose the LCF of the difference are :

2x         [tex]\huge\checkmark[/tex]

(x - 2)    [tex]\huge\checkmark[/tex]

(x + 6)   [tex]\huge\checkmark[/tex]

Step-by-step explanation:

x² + 4x - 12 = x² - 2x + 2x + 4x - 12

                  = x² - 2x + (6x - 12)

                  = x(x - 2) + 6(x - 2)

                  = (x - 2)(x + 6)

2x² - 4x = 2x(x - 2)

We get

2x² - 4x = 2x(x - 2)

x² + 4x - 12 = (x - 2)(x + 6)

then

The least common denominator is 2x(x - 2)(x + 6)

Answer:

2nd, 3rd and 6th

Step-by-step explanation:

Factorise the denominators of both fractions

x² + 4x - 12 = (x + 6)(x - 2)

2x² - 4x = 2x(x - 2)

The least common denominator is then

2x(x - 2)(x + 6)

Answer: D: 240 Centimeters cubed

Step-by-step explanation:

Volume = LxWxH

Volume = 10 x 8 x 3

Volume = 240cm³

Your answer is D: 240 Centimeters cubed

Answer:

25.6 MB

Step-by-step explanation:

Question: 256 MB file tha'ts been downloaded 16.4%

Answer:

42.5 MB.

Step-by-step explanation:

Why?

16.4% of 259 = 42.476

(using a calculator)

Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( [tex]x\geq 5[/tex] ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.

Making the answer: 42.5 MB

Hope this helps!

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(t) = 6 + 30t – 16t²

Where f(t) is the height of the football after t seconds.

The constant 6 means the football was thrown from a height of 6 feet above the ground.

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

The answer is, y = 1060.64

Step-by-step explanation:

First, you want to multiply both sides by 38, which gives you

38y = 157y -126216.

Then you want to rearrange:

119y = 126216

then you want to divide by 119, which gives you y=126216/119, which is 1060.64

I'll be expecting my reward :)

Answer:

(x_4)^2+(y+1)^2=81

Step-by-step explanation:

you change the signs of the x and y co efficient. The general formula is (a,-b) (x_a)^2+(y+b)^2=r^2

Answer:

19.63 in²

Step-by-step explanation:

Given:

[tex]\text{Diameter of circle: 5 inches}[/tex]

Determine the radius of the circle:

The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.

Determining the area of the circle:

The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.

Simplify the square of 2.5:

Replace π with 3.14 (Approx.):

Furthermore, the question said to round to nearest hundredth...

⇒ 19.63 in² = Area of circle

tan θ = 0.952

tan θ = AC ÷ BC

tan θ = 80 ÷ 84

tan θ = 0.952

☆...hope this helps...☆

Answer:

153

Step-by-step explanation:

Triange area = 1/2 b*h

= 1/2 (7)*(9)

=31.5 (for 1 triangle)

2(31.5) = 63 (for 2 triangles, left and right)

Rectangle area = b *h

= 10*9

=90

Total = 2 triangles + rectangle

63+90 = 153

Answer: 108

Step-by-step explanation: the formula, 10+7(2)/2 x 9 = 108

The first step in constructing an angle by means of a protractor is; Draw a horizontal ray.

The first step in constructing an angle by means of a protractor involves a sequence of ordered steps as follows;

Read more on Angle construction;

https://brainly.com/question/8607612

Answer: 808.64 m2

Step-by-step explanation:

Step-by-step explanation:

c = cost per person

p = number of people

The cost per person is 1500/p, where 

is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.

I believe the inverse variation function is

c = 1500 × 1/p

make sure to ask if you need anything else. :)

1/2 because there are only 2 choices.

Answer:

f(x + 2) = 5x² + 18x + 19

f(x + 2) - f(x) = 20x + 16

f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3

Step-by-step explanation:

1. f(x + 2)

[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]

2. f(x + 2) - f(x)

[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]

3. f(x + h)

[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]

Answer:

4056/23

Step-by-step explanation:

[tex]\begin{aligned}169+\dfrac{169}{23} & =\dfrac{169}{1}+\dfrac{169}{23}\\\\ & =\dfrac{169\times 23}{1\times 23}+\dfrac{169}{23}\\\\ & =\dfrac{3887}{23}+\dfrac{169}{23}\\\\ & =\dfrac{3887+169}{23}\\\\ & =\dfrac{4056}{23}\end{aligned}[/tex]

Answer:

  $2.10

Step-by-step explanation:

The discount is described as 4/5 of 1.75% of the purchase price.

__

For a purchase price of $150, the discount is ...

  discount = (4/5)(1.75%)($150) = $2.10

The discount for using cash is $2.10.

Answer:

1. $36/4 hours = $9per hour

2. 350miles/7hours = 50mile per hour

3. 1.60 / 20 = $0.08 per pen

This is basically how they got the correct answer.

First they used the area formula:

[tex]\pi \times {r}^{2} [/tex]

So for you that would be:

[tex]\pi \times {9.8}^{2} [/tex]

Which equals

301.7

Since there's a hole in the circle we do the area of a square which is base times height.

Which is 3 x 3 = 9 for your problem

Then we subtract

301.7 - 9 = 292.7 !

Which is almost exactly 292.57 since there is a margin

Answer:

3/7

Step-by-step explanation:

This is because you need to count the tick marks to 1.

That should be 7.

Then you count to the red dot.

That should be 3.

3/7

Answer: 3/7

Step-by-step explanation:

There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.

The red dot is on the third tick, making our numerator 3.

Our answer is 3/7, or [tex]\frac{3}{7}[/tex]

Answer:

15.4

Step-by-step explanation:

∠RSA =

95`

95-18=

77/5=

15.4

4 x 15.4=

61.6+7=

68.6

Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0±

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

4/9

hope it helps...!!!

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex] \frac{80 \div 10}{180 \div 10} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} [/tex]

Hope this help you out =)

There were 21 children who were older than 7 years.

A histogram is a graph that depicts the frequency distribution of a few data points from a single variable. Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.

The bar graph graphically represents category data. A histogram is a graph that represents quantitative data. Each pair of consecutive bars is separated by an equal amount of space.

The data from the Histogram can written as

Age group   Number of Children

 1 - 3                         5

 3 - 5                         3

 5 - 7                         6

 7 - 9                        8

 9 -11                        9

 11 - 13                      4

So, the number of children who were older than 7 years

= 8 + 9 + 4

= 21 children

Learn more about Histogram here:

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Answer:

Subtract 11 both sides to isolate the variable and it's cooeficient.

Step-by-step explanation:

Given equation:

The main goal to determine the solution of the equation is to isolate the variable that is present in the equation.

(1) Subtract 11 both sides to isolate the variable and it's cooeficient.

(2) Simplify if possible.

(3) Divide the cooeficient (-3) both sides to remove the cooeficient from the variable.

Once the variable has been isolated, the opposite side of the variable will be the solution to the variable.

Step-1: Subtract 11 both sides

Step-2: Simplify (if possible)

Step-3: Divide the cooeficient of x (-3) both sides

Therefore, the first step in simplifying the expression (11 - 3x = 44) is to subtract 11 both sides to isolate the variable and it's cooeficient. When the expression is simplified, we get the solution x = -11.

Answer:

748m³

Step-by-step explanation:

Hello!

The volume of a rectangular prism is determined by the formula [tex]l * w * h[/tex]. To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base ( [tex]l * w\\[/tex] ), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.

Breakdown of [tex]l * w * h[/tex]:

Find the Volume:

Use the formula and plug in values into the formula.

Th units of length are m, and volume is the units cubed, so the units are m³.

The volume is 748m³

Answer:

748

Step-by-step explanation: V= W*H*L

17*11*4= 748m^3

Answer:

1.54 [km²].

Step-by-step explanation:

1) the given scale is for linear functions, the given area of the lake is quadratic function. According to this

2) actual area = given area *50000 *50000;

3) the given area=0.000616 [m²],

the actual area=0.000616*50000*50000=1540000 [m²] or 1.54 [km²].