Explain how to find 40% of a number using friendly percents

Answer:

9.1

Step-by-step explanation:

To calculate the total interest payable, we use the formula

I=P0rt,

and substituting our values yields

I=$2,400×0.08×1812=$288.

Therefore the total amount he receives at loan drawdown is $2,400−$288=$2,112. To calculate the effective interest rate, we use to formula

A=P0(1+ret).

In this instance we have A=$2,400,P0=$2,112 (redefined from the value above) and t=1.5. We substitute into the formula to get

$2,400=$2,112(1+1.5re).

Solve for re.

24002112=1+1.5re

24002112−1=1.5re

24002112−11.5=re

This gives re=0.0909⋯=9.0909…%,  which is 9.1%

Answer:

The question is not complete

Answer:

C

Step-by-step explanation:

the y-intercept is -1

the slope is 2/1

y=2x+-1

2x-y-1=0

-y=-2x+1

divide everything by -1

y=2x+-1

Answer:

121

Step-by-step explanation:

cause if its on the oppsite side its going to be the same number

Answer: C.

Step-by-step explanation:

C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)

The equivalent expressions are given below;

a) x²+3x+5

b) x²-3x+5

c) 3x³+15x

d)  x²+5/3x

Given the following function

f(x)=x²+5 and;

g(x)=3x

a) (f + g)(x) = f(x) + g(x)

(f + g)(x) = x²+5 + 3x

(f + g)(x) = x²+3x+5

b)  (f - g)(x) = f(x) - g(x)

(f - g)(x) = x²+5 - 3x

(f - g)(x) = x²-3x+5

c) (f * g)(x) = f(x) * g(x)

(f * g)(x) = 3x(x²+5)

(f * g)(x) = 3x³+15x

d) (f/g)(x) = f(x)/g(x)

(f/g)(x) = x²+5/3x

This expressions gives the equivalent answer.

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The value of missing x = 5

The value of missing y = 17 / 3

The standard line equation, y = mx + b, or the slope formula, m = (y2 - y1)/(x2 - x1), can both be used to find the slope, m.

According to the given information

Let two points be \((x_{1} , y_{1} )\) and \((x_{2} , y_{2} )\) are ( 3 , 8 ) and ( 6 , 15 )

Slope of the two points = \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)

                                       = \(\frac{15-8}{6-3}\)

                                       = 7 / 3

Let the equation passing through points  ( 3 , 8 ) be

\(( y - y_{1}) = m(x - x_{1})\)

y - 8 = 7/3( x - 3 )

3y - 24 = 7x - 21

3y = 7x - 21 + 24

3y = 7x + 3

When x = 2

3y = 14 + 3

y = 17 / 3

When y = 38/5

114/3 = 7x + 3

7x = 114/3 - 3

21x = 114 - 9

x = 5

So

The value of missing x = 5

The value of missing y = 17 / 3

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Determine the probability for the selection of three pigs (without replacement) which are not pregnant.

So answer is 1/56.

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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The formula to apply is ;

A= P{1+r/n}^nt

where

A= amount at the end of the period

P= starting amount = $1200

r= rate of interest =4%= 0.04

n=number of compoundings per annum = 1

t= time period = 3

Using the values in the equation as;

A= 1200{ 1+ 0.04} ^3

A= 1200{1.04}^3

A= $1349.84

Answer

Amount = $1349.84

Answer:

Huh?

Step-by-step explanation:

The parametric equations for the tangent line to the curve

x = 26+27, t = 10+6t, z = 27+27t

In the given question points are given and we have to find the parametric equations for the tangent line to the curve.

given r(t) = <t³-1 , t²+1 , t³>

taking differentiation

r'(t) = <3t² , 2t , 3t² >

parameters corresponding to point at the point (26, 10, 27)

t²+1 = 10

=> t² = 9

=> t = √9

=>t=3

r'(t) at t = 3 is

r'(t) = <27, 6, 27 >

So the parametric equations for the tangent line to the curve

x = 26+27

t = 10+6t

z = 27+27t

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The complete question is :

Find the parametric equations for the tangent line to the curve

x = t³ - 1,

y = t² + 1,

z = t³

at the point (26, 10, 27). Use the variable t for your parameter.

Answer:

(A) x(3+5)  is an expression. The rest are equations.

Step-by-step explanation:

Answer:

A. 2.5 pounds

B. 12.5 pounds

Step-by-step explanation:

Answer:

a 2.5 b 12.5

Step-by-step explanation:

Using proportions, it is found that when the Axolotl was swimming, 8 breaks were taken.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, in each break there are 6 yards. How many breaks are there in 48 yards? Hence the rule of three is given by:

1 break - 6 yards.

n breaks - 48 yards.

Applying cross multiplication:

6n = 48.

n = 48/6.

n = 8.

8 breaks were taken.

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The result of adding these numbers is 14.

To add the vectors 10, -3, and 7, we simply sum their corresponding components.

In mathematics, vectors typically represent quantities that have both magnitude and direction. They are usually denoted by an arrow or boldface letters. However, in your question, the numbers provided (10, -3, and 7) are not explicitly described as vectors. They are just numerical values.

To add these numbers together, you can simply perform the arithmetic operation of addition:

10 - 3 + 7 = 14

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Answer:

1.25

Step-by-step explanation:

Answer:1.25

Step-by-step explanation:

The value of angles in triangle are ,

1) x=60°.

2) y = 15°.

3) Angle of C=45°

4) Angle of DBC=  105°.

5)Angle of CBA = 75°

What is triangle ?

 Three-sided polygons with three sides are known as triangles, however this term is not particularly common. Every triangle has three sides and three angles, some of which might be the same. Having three sides and three vertices, a triangle is a polygon. There is a 180 degree angle created inside the triangle. This indicates that a triangle's interior angles add up to 180°. Having the fewest sides of all polygons, it is that.

Here the given diagram DA is the straight line.

In straight line angle at any point is 180°. then

=>7y°+5y°=180°

=> 12y = 180

=> y = 180/12

=> y = 15°.

Then angle of DBC = 7y= 7*15 = 105°.

Now angle of CBA = 5y = 5*15 =75°.

And angle C = 3y=3*15=45°.

Now consider the triangle ABC , we know that sum of all angles in triangle is add upto 180°.

=> ∠A+∠B+∠C=180°

=> x+75+45=180

=> x= 180 - 120

=> x = 60°.

There fore the value of angles in triangle are ,

1) x=60°.

2) y = 15°.

3) Angle of C=45°

4) Angle of DBC=  105°.

5)Angle of CBA = 75°

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We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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Answer:

can you put a picture?

Step-by-step explanation:

gotta use 20 characters

Step-by-step explanation:

wait sorry that was wrong

Answer:

5.2

Step-by-step explanation:

The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.

Step-by-step explanation:

.

Answers:

=====================================================

Explanation:

Part (a)

The numbers are sorted from smallest to largest, so we pick out the middle most value to get the median. It turns out that 1015 and 1025 are tied for the middle-most spot. Average these values to get (1015+1025)/2 = 1020. The median is 1020.

Notice how the median will not change if we replaced one "1100"s with "1060". This is because 1015 and 1025 still occupy the middle, and 1020 is at the midpoint between them.  The median would only change if we either introduce or take away a value entirely, or if we replaced 1100 with some value between 1015 and 1025 that isn't 1020 itself. For instance, if we replace 1100 with 1019, then the median would become 1017 (decrease).

However, none of these situations happen, so that's why the median stays where it is.

--------------------------

Part (b)

Go back to the original list of numbers.

Add them up to get

820+910+945+1015+1025+1085+1100+1100 = 8000

Divide this over 8 since we have 8 values here

8000/8 = 1000

The mean rent is $1000

Now let's replace one copy of the "1100" with "1060". Follow the same steps as above.

After that rent change from $1100 to $1060, the mean rent is now $995

The mean rent went down by 1000-995 = 5 dollars.

Solution:

The intermediate value theorem for polynomials states that when a polynomial function changes from a negative value to a positive value, the function must cross the x-axis.

To prove it has a real zero, it must cross the x-axis.

The theorem thus states mathematically that;

We test for the continuity of the polynomial at x = a and x = b

Hence,

From the above, since the value of the output of the function at the input (intervals) -1 and 0 changes from negative to positive (i.e, from -2 to 1), then it should pass through the x-axis.

Once the function passes through the x-axis, then it will have a real zero between the interval given.

If the length AB is 5 and the scale factor is 2.5, then the length of DE can be calculated as:

DE = AB*(scale factor)

DE = 5 * 2.5

DE = 12.5

Answer: 12.5

Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

​

Put this value in equation (1), we get,

5(

31

24.8

​

)+2y=−2

∴

31

124

​

+2y=−2

∴2y=−2−

31

124

​

∴2y=

31

−186

​

∴y=

31

−93

​

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x = 130\°}\)

Step-by-step explanation:

So,

90 + 90 + 50 + x = 360

230 + x = 360

x = 360 - 230

\(\rule[225]{225}{2}\)