Penelope invested $6650 into theee investment accounts, earning 8%, 12.5%, and 7.5% simple interest per year. If the annual interest earned totaled $671.25 and the amount invested at 12.5% was $300 more than twice the amount invested at 8%, find the amount invested into each account.

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06

Answer:

A= 125$ B=134

Step-by-step explanation:

Answer:

3927 cm² wrapping paper will be required.

Step-by-step explanation:

Lateral surface area of a cone shaped wrapper = πrl

where, r = radius of the waffle cone

and l = slant height of the cone

It has been given in the question, radius 'r' = 5cm

and lateral height 'l' = 10 cm

Lateral surface area of the cone = π(5)(10)

                                                      = 50π

                                                      = 157.08 cm²

If they plan to make 25 waffles then wrapper paper required

= 25×157.08

= 3927 cm²

Therefore, 3927 cm² wrapping paper will be required.

The product of the given expressions A, B, C, and D is 1. This is computed by recognizing A and C as conjugates (and likewise B and D), and using the difference of squares rule.

Given the expressions of A, B, C, D as written in the question, what needs to be done is to multiply these expressions together. Since B is the negative of A, and D is the negative of C, you can rewrite ABCD as:

A*(-A)*C*(-C)

which simplifies to -(AC)2. You'll notice that A and C are conjugates. This means that squaring them results in the difference of squares, or a2 - b2. Implementing this, we get:  

the product ABCD, we can use the distributive property of multiplication over addition. We have:

ABCD = (A + B)(C + D)

Substituting the given values of A, B, C, and D, we get:

ABCD = ((√2008 + √2009) + (-√2008 - √2009))((√2008 - √2009) + (√2009 - √2008))

-(sqrt{2008}2 - sqrt{2009}2) = -(2008 - 2009) = 1

So, the product of the given expressions A, B, C, and D is 1.

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To find ABCD, we multiply the given values together and simplify the expressions using the difference of squares formula. The value of ABCD is -1.

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), to find ABCD, we multiply the given values together:

ABCD = ((√{2008}+√{2009})(-√{2008}-√{2009}))((√{2008}-√{2009})(√{2009}-√{2008}))

By expanding the multiplication and simplifying the expressions, we get:

ABCD = (√{2008}² - (√{2009})²)((√{2009})² - (√{2008})²)

After applying the difference of squares formula, we have:

ABCD = (2008 - 2009)(2009 - 2008)

Simplifying further, we obtain:

ABCD = (-1)(1) = -1

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the complete Question is given below:

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), find ABCD.

Answer:

58

Step-by-step explanation:

58.58 - 0.58 = 58

Answer:

d

Step-by-step explanation:

58.58-0.58=58

Answer:

sssssssss

Step-by-step explanation:

Given,

Keesha bought = x binder.

Let Keesha bought (11-x) notebook.

Total money spent = $45

Cost of each binder = $ 6

Cost of each notebook = $ 2.50

Now,

Equation

$ 6 × x + $ 2.50 × (11-x) = $ 45

$ 6 x + $27.5 - $ 2.50 x= $ 45

$ 3.50 x = $ 17.5

x = 5

Number of binder = 5.

Number of cover = 11-5 = 6.

Final answer:

The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.

Explanation:

To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.

Equation 1 (total number of items):
b + n = 11

Equation 2 (total cost):
$6 × b + $2.50 × n = $45

In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.

Answer:

1. tan A= 1.6643

A = tan^-1(1.6643)

A = 59° , 239°

2. sin A= 0.8480

A = sin^-1(0.8480)

A = 58°, 122°

3. cos A= 0.3420

A = cos^-1(0.342)

A = 1° , 359°

4. cos U= 0.4695​

U = cos^-1(0.4695)

U = 62°, 298°

Answer:

Please see the attached pictures for the full solution.

Answer:

40%

Step-by-step explanation:

When we say the price of an object is marked down, it means the price of the object was reduced or decreased from the initial or original price.

In the above question:

The original price of a computer game = $45

The price is marked down or decreased by $18

We are asked to find the percent of the original price that is marked down.

This is calculated as:

(The price that the original price is marked down by ÷ Original price ) × 100

= ($18 ÷ $45) × 100

= 40%

Therefore, the percent of the original price that is marked down is 40%.

Answer:

it will be 40%

Step-by-step explanation:

Answer: 300 Centimeters

Step-by-step explanation: 1 meter is 100 cenimeters so you multiply the number of meters by 100 to get it into centimeters so 3 * 100 = 300

Answer:

the answer is 12.2

Step-by-step explanation:

thats what i got

Answer: 12.2

Step-by-step explanation:

Answer:

YOUR WRONG 27 IS NOT 45%

Step-by-step explanation:

[tex]\frac{27}{100}[/tex]=27%

100%=1 whole

Answer:

It is 60

Step-by-step explanation:

A better way to rephrase the problem is:

"what is 100 percent of something if 27 is 45% of something. ?"

so

100% * X  = ?

given:   27 = 45% * X

Solve for X,

27/ 45% = X

X = 27 / 0.45 = 60

so.  100% * X = 100% * 60 = 1 * 60 = 60

Answer:

Radius = 7cm

Diameter = 14cm

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes across the entire circle, so it is the diameter

Diameter = 14 m

The radius of a circle is half the length of the diameter.

r = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{14}{2}[/tex]

r = 7 cm

This is why the radius is 7cm, and the diameter is 14cm.

Hope this helped!

The value of x is 18

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{60 + 27} \\ \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{87} \\ \: 60(80 + 2x) = 80 \times 87 \\ 4800 + 120x = 6960 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 6960 - 4800 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 2160 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2160}{120} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 18[/tex]

So, the value of x is 18

Hope it helpful and useful :)

Answer:

224

Step-by-step explanation:

[tex]A = P[/tex] [tex]\frac{l}{2}[/tex]﹣[tex]l^{2}[/tex] = [tex]78[/tex] · [tex]\frac{32}{2}[/tex]﹣[tex]32^{2}[/tex] [tex]= 224[/tex]

Answer:

- cosec x + cot x + x + c

Step-by-step explanation:

[tex] \int \frac{cos x}{1 + cos x} dx\\

=\int \frac{cos x(1-cosx)}{(1 + cos x)(1-cosx)} dx\\

=\int \frac{cos x-cos^2 x}{(1-cos^2 x)} dx\\

=\int \frac{cos x-cos^2 x}{sin^2 x} dx\\

=\int \bigg (\frac{cos x}{sin^2 x}- \frac{cos^2 x}{sin^2 x}\bigg) dx\\

=\int (cotx \: cosecx- cot^2 x) dx\\

=\int [cotx \: cosecx- (cosec^2 x-1)] dx\\

=\int (cotx \: cosecx- cosec^2 x+1) dx\\

=\int (cotx \: cosec) dx- \int cosec^2 x dx+\int 1 dx\\

= - cosec x + cot x +

x + c[/tex]

Answer:

$28

Step-by-step explanation:

First, you would want to find the amount of money that you earn per car. So, for each car you make $4. Then, multiply 7 times 4 and get 28.

$28 is the answer!

Answer:

308.4miles

Step-by-step explanation:

Given that radius of earth= 4000miles

Change in latitude = 39° 8' 46" - 34° 43'41"

= 4° 25' 5"

= 4+25/60+5/3600

4+0.4166+0.00138

θ = 4.417°

Converting to radian = 4.417°×π÷180

= 4.417×0.0174

= 0.07710

Distance between the cities = rθ

S = 4000×0.07710

S= 308.4miles

Final answer:

The distance between Cincinnati, Ohio and Huntsville, Alabama is calculated by first converting their latitudes to radians, finding the difference, and then using the arc length formula on a sphere (assuming both cities are on the same longitude). The estimated distance is approximately 308 miles.

Explanation:

The question is asking to calculate the distance between Cincinnati, Ohio and Huntsville, Alabama, assuming the Earth is a sphere with a radius of 4000 miles and that both cities are on the same longitude. To calculate the distance, we first convert the latitudinal degrees to radians and then use the formula for arc length on a sphere, which is:

Arc Length = radius times (latitude1 - latitude2)

Firstly, convert the latitudes from degrees, minutes, and seconds to decimal degrees:

Then, convert the decimal degrees to radians:

Calculate the difference in latitude in radians:

Difference in latitude = 0.6832 rad - 0.6062 rad = 0.077 rad

Finally, use the arc length formula:

Arc length = 4000 miles times 0.077 rad = 308 miles

Therefore, the distance between Cincinnati, Ohio, and Huntsville, Alabama, is approximately 308 miles.

Answer:

8/27

Step-by-step explanation:

4 x 2 = 8

9    3   27

Final answer:

The expression 4/9 x 2/3 simplifies to 8/27, which cannot be reduced further as there are no common factors between the numerator and the denominator.

Explanation:

The original expression given is 4/9 x 2/3. To simplify this expression, we multiply the numerators together (4 x 2) and the denominators together (9 x 3). The product of the numerators is 8, and the product of the denominators is 27, giving us the fraction 8/27. This expression can't be simplified further because 8 and 27 have no common factors other than 1.

If we refer to the example of the scale factor, such as 1:4 scale, it is different from the multiplication of fractions. However, in the case of the proportion 1:2 = 4:x, we solve for x by cross-multiplying, resulting in x being 8. This is a proportional relationship and not directly related to the original fraction multiplication.

x=3

Step-by-step explanation:

five time three is fifteen minus three is twelve.

x=3 is the solution to the equation 5x - 3 = 12.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To solve for x in equation 5x - 3 = 12, we need to isolate x on one side of the equation.

First, we can add 3 to both sides of the equation:

5x - 3 + 3 = 12 + 3

Simplifying the left-hand side:

5x = 15

Next, we can divide both sides of the equation by 5:

5x/5 = 15/5

Simplifying the left-hand side:

x = 3

Therefore, the solution to the equation 5x - 3 = 12 is x = 3.

Learn more about algebraic Expression here:

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Answer:

c

each sidelength is the same, lwh, 27

Answer:

C.

LxWxH=V

V = S^3

Answer:

Step-by-step explanation:

To solve, we need to substitute into the given equation:

T = d/a − j + d/a + j

T = 2468/510 (-115 + 2468/510 + 115)

T = 4.83921568627 (-115 + 4.83921568627 + 115)

T = 23.4180084582

Approx: 23 hours

I'm always happy to help :)

Answer:

10.2

Step-by-step explanation:

ok so simplified your equation is [tex]T=\frac{2da}{(a+j)(a-j)}[/tex] so you plug in your numbers.

[tex]T=\frac{2(2468)(510)}{(510+115)(510-115)}[/tex] after adding 510 and 115 you get 625 but both 510 and 625 are divisible by 5 so divide each by 5. you should have:

[tex]T=\frac{2(2468)(102)}{(125)(395)}[/tex] so just solve basically. [tex]T=\frac{503472}{49375}[/tex] it comes out to 10.196 but after some rounding its 10.2

Hope this helps!

I had the same problem too for math today so might as well help ya!

Coordinate of P, after the sequence of transformation is

(-1.25, -1)

How to find the coordinate of P

To find the coordinate of P we first establish that P is in corresponding position with A

Coordinate of A is (-5, 4)

Dilation by 0.25 will result to (-5 * 0.25, 4 * 0.25) → (-1.25, 1)

Reflection over the x-axis is done as follows

(-1.25, 1) → (-1.25, -1)

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Answer: its A

Step-by-step explanation:i did the test

Answer:

Its A

Step-by-step explanation:

thx byye

Answer:

Step-by-step explanation:

We

I had to give u a screenshot...here u go.

Answer:

To transform from polar coordinates  into Cartesian coordinates  we have:

x = r x cos(theta)

y = r x sin(theta)

r^2 = x^2 + y^2

=>   r = 2*cos(theta)

<=> r = 2*(x/r)

<=> 2x = r^2

<=> 2x  = x^2 + y^2

Hope this helps!

:)

Answer:

x² + y² - 2x = 0

Step-by-step explanation:

r = sqrt(x² + y²)

x = r cos(theta)

r = 2 cos(theta)

Multiply both sides by r

r² = 2r cos(theta)

x² + y² = 2x

Answer: The answer to this question is 1256.6

Answer:

1256.6

Step-by-step explanation:

Answer: each movie costs $6.80, each game costs $29.7

Step-by-step explanation:

First to find the movie cost i divided 34/5, and it gave me an answer of 6.80, then i multiplied 6.80 by 2 because it said you bought 2 movies along with 2 video games, 6.80 times 2 is 13.6. afterwards i subtracted, 73-13.6, my answer was 59.4, later i divided that by 2, and each game is $29.7, and each movie is $6.80