compound interest rate increases by 20% to 6% what was the starting interest rate

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

Answer:

The correct answer is (1, -3).

Step-by-step explanation:

To solve this question, we should use substitution. This means we can substitute the value given for y (as indicated by the second equation) into the first equation. This is shown below:

4x + y = 1

4x + (x - 4) = 1

We simplify the left side of the equation and then solve for x.

5x - 4 = 1

5x = 5

x = 1

We must also solve for y. To do this, we can plug in x = 1 into either of the given equations.

y = x - 4

y = 1 - 4

y = -3

Therefore, x = 1 and y = -3. The question asks us to express the answer as an ordered pair (x,y), so the answer is (1, -3).

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By simplifying a system of equations we will see that the correct option is the second one:

(2a - 7) + a  = 41

Let's define the variables:

We have the statements:

"Taylor's sister is 7 years less than twice Taylor's age"

s = 2*a - 7

"The sum of Taylor's age and her sister's age is 41"

s + a = 41

So we have a system of equations:

s = 2a - 7

s + a = 41

Replacing the first equation in the second one we get:

(2a - 7) + a  = 41

So the correct option is the second one, that is the equation that represents this relationship.

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Answer: = 4 1/30

Step-by-step explanation:

Answer:

Option B is the answer

am not really sure though

Answer:

it would be D.

Answer: Use the same counter weight.

Step-by-step explanation: It should be the controlled variable whereas the ball would be the independent, and the distance the dependent.

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer: 60 feet long!

Step-by-step explanation:

Okay so draw a square and add 60 to each side. Then draw a diagonal line! what is half of 60? 30 so that diagonal line is 30!  now do a2 + b2 = c2!

3600 + b2 = 900!

Now Subtract 3,600 - 900 and you will get 2,700 for the area of b but that's not all now you have to square it 59.961

Now I round to the tenths so the answer would be 60!

I haven't done this in a VERY long time! So Sorry if it's wrong!

Hope this helps!

Answer:

(-2,-1), (2,1), (4,2)

Step-by-step explanation:

This is how I did it: (took me like a minute)

Draw a graph or get graph paper. You could also probably find a graph online that you can write on.  (remember to label)

Now mark two points of the line. So for this question you could use (0,0) and (2,1).

Now draw a line connecting both points.

Finally you can check whether the points are on the line or are not.

Hope this helps!

Answer:

9/30 and 4/30

Step-by-step explanation:

find common denominator of 30

multiply 3 by 10 and 2 by 15

multiply 3 by 3 and 2 by 2

answer

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

I think the answer are C, B, C, and A.

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Completing the table using the rounded values showing the relative frequencies is as follows:

Column Relative Frequency Table

                            Men         Women        Total

January - June    25%            25%             25%

July - December 75%             75%             75%

Total                   100%           100%           100%

Relative frequency shows the quotient between the number of events and the total number of possible events occurring.

The quotient of relative frequency is expressed over 100 to show the result in percentage terms.

Frequency Table

                            Men   Women    Total

January - June      21           19         40

July - December  62          58        120

Total                     83          77         160

Column Relative Frequency Table

                            Men                Women           Total

January - June    25% (21/83)     25% (19/77)        25% (40/160 x 100)

July - December 75% (62/83)     75% (58/77)       75% (120/160 x 100)

Total                   100%                100%                  100% (160/160 x 100)

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Answer:

A and C

Step-by-step explanation:

20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.

21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.

I hope this helps :)

Answer:

Statement: Triangle ACD is congruent to Triangle BCD

Reason: SSA (Side, Side, Angle)

In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.

The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.

After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.

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The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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

Explanation:

Let's say we had a circle with radius 5

It's area would be

A = pi*r^2

A = pi*5^2

A = 25pi

Now let's increase this by a factor of 4. We'll multiply the area by 4

new area = 4*(old area) = 4*(25pi) = 100pi

Now, we'll use this area value to find what the radius must be

A = pi*r^2

100pi = pi*r^2

100 = r^2

r^2 = 100

r = sqrt(100)

r = 10

The old radius r = 5 jumps to r = 10 so that the area quadruples.

We see that the radius has doubled. This must also mean the perimeter around the circle, aka circumference, must also have doubled.

C = 2*pi*r = 2*pi*5 = 10pi = old circumference

C = 2*pi*r = 2*pi*10 = 20pi = new circumference

This is directly because r has been doubled

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

Here's one way to think of why this works:

Consider a square of side lengths 3. It's area is 3*3 = 9.

If we double the sides, then we have a 6 by 6 square of area 6*6 = 36.

Note the jump from 9 to 36 is "times 4". This multiplier 4 is from each side doubling and we have 2*2 = 4.

If you were to triple each side, then the area multiplier would be 3*3 = 9

Multiplying each side by k leads to an area multiplier of k^2.

Answer:

2.55 minutes it takes a snail to crawl 85 inches

i hope this helps you

Step-by-step explanation:

Answer:

There are 0 low outliers in the data set.

Step-by-step explanation:

The five-number summary tells us that Q1= 24 and Q3=40

Q1-1.5*IQR

=24-1.5*IQR

=24-1.5(40-24)

=24*1.5*16

=24-24

=0

Answer:

0

Step-by-step explanation:

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

Step-by-step explanation:

the scale factor is 0.8:20

since the line is 239 miles long, divide by 20

239/20 = 11.95

multiply by 0.8

11.95 x 0.8 = 9.56

Answer:

7.94117647059 Calories

Step-by-step explanation:

25 Calories = 85 Grams

25/85 = 0.294117647059

0.294117647059 = 1 Gram

0.294117647059 times 27 = 7.94117647059

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

the answer is 5*3

Step-by-step explanation

15*6=90

3*2=6

90/6=15

5*3=15

G

Answer:

A. { 3, 4, 5, 6, 7, 8, 9, 10}  

B. {4}

Step-by-step explanation:

A. { 3, 4, 5, 6, 7, 8, 9, 10}  

⇒ We didn't include 2 in this because 2 = 2, not greater than 2.

⇒ We also didn't include 11 for the same reason. 11 = 11, not less than 11.

B. First of all, this tells us that x is a natural number, i.e. x ≥ 1

The second thing it tells us is that x = 4. So the answer is {4}

(I may have misunderstood B. If I'm not correct, I'm really sorry. )

The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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