Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00

Answer:

x = 6.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 32 = x/ 10

10 tan 32 = x

x=6.24869

Rounding to the nearest tenth

x = 6.2

Answer:

x=6.2 (Rounded to the nearest tenth)

Step-by-step explanation:

This problem gives you an angle(32°), and ask for the dimension of the opposite side to that angle(x), along with another dimension the adjacent side(10).

Since you have the opposite and adjacent sides, you can use tangent. opposite (x) over adjacent (10). Tan(32) =[tex]\frac{x}{10}[/tex]. You want (x) so multiply tan(32) by 10. Then round to the nearest tenth.

Remember to put calculator in degree mode!

tan (32) = 0.6248693519 multiply by ten 6.248693519. Round to nearest 10th 6.2.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} \frac{5(\frac{1}{5}+(-4) )}{2\cdot(-4) \cdot (0-0,8)^2} =\frac{^1 \ 5^{ }\!\!\!\!\diagup\cdot \frac{1}{5\!\!\!\!\diagup}-20 }{-8 \cdot 0,64 } = \\\\\\ \frac{-20+1}{-5,12} =\frac{-19}{-5,12} \cdot \frac{25}{25} =\frac{475}{128} =\boxed{\pmb{3\frac{91}{128} }}[/tex]

Answer: Prime Factors for 18: 2, 3, and 3

Prime Factors for 19: 19

Prime Factors for 20: 2, 2, and 5

Can you mark brainlest

Step-by-step explanation:

If a ★ b = 0.5ab, then

0.1 ★ b = 0.5 (0.1) b = 0.05b = 10

==>   b = 10/0.05 = 200

Answer:

7.2

Step-by-step explanation:

Apply Law of Cosines, given that b is 13.5, c is 8.9, and Angle a is 29.

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(a) [/tex]

[tex] {a}^{2} = {13.5}^{2} + {8.9}^{2} - 2(13.5)(8.9) \times \cos(29) [/tex]

[tex] {a}^{2} = 182.25 + 79.21 - 240.3 \times 0.8746[/tex]

[tex] {a}^{2} = 182.25 + 79.21 - 210.1711[/tex]

[tex]a = 7.2[/tex]

Answer:

[tex]a\approx7.2[/tex]

Step-by-step explanation:

The given problem presents one with the following information:

To solve this problem, one can use the law of cosines. The law of cosines is a property that can apply to any triangle. This property comes in the form of a formula, which is as follows:

[tex]a^2=\sqrt{b^2+c^2-2bc(cos(A))}[/tex]

Where (a), (b), and (c) are sides of the triangle, and (<A) is the angle opposite the side (a).

Substitute the given information into the formula and solve for the unknown side (a):

[tex]a=\sqrt{b^2+c^2-2bc(cos(A))}[/tex]

[tex]a=\sqrt{(13.5)^2+(8.9)^2-2(13.5)(8.9)(cos(29))}[/tex]

Simplify,

[tex]a=\sqrt{(13.5)^2+(8.9)^2-2(13.5)(8.9)(cos(29))}[/tex]

[tex]a=\sqrt{182.25+79.21-240.3(cos(29))}[/tex]

[tex]a=\sqrt{261.46-240.3(cos(29))}[/tex]

[tex]a=\sqrt{261.46-210.1711}[/tex]

[tex]a=\sqrt{51.2889}[/tex]

[tex]a\approx7.2[/tex]

Answer:

13.25×5+13, cost per day with a helmet.

Step-by-step explanation:

Numerical Expressions • Practice

Answer:

13.25×5+13, Per day without a helmet

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The cylinder would show an ellipse when cut diagonally. Please Brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS.

Answer:

1. a²-a-12

2. 2x-6

3. 2a²+862a-28644

4. x³-x²-26x+30

Step-by-step explanation:

1. (a + 3)(a - 4) = a²-4a+3a-12 = a²-a-12

2. (x - 3)2 = 2x-6

3. (2a – 62)(a + 462) =2a²+924a-62a-28644 = 2a²+862a-28644

4.(x - 5)(x²+ 4x - 6) = x³+4x²-6x-5x²-20x+30 = x³-x²-26x+30

Answer:

Hello,

Volume= 144 (ft³)

Step-by-step explanation:

As 6²+8²=36+64=100=10², we calculate the area of the right triangle:

6*8/2=24 (ft²)

The high of the prisme is 6 (ft)

Volume= 24*6=144(ft^3)

Answer:

your answer is 144feet

Step-by-step explanation:

144feet

t=4

explanation

2(t+1)=10

2t+2=10

2t=8

t=4

The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape

The perimeter of the figure is 74cm and the area of the figure is 231 square cm

I've added shape as an attachment.

The perimeter is the sum of all side lengths. So, we have:

[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]

[tex]Perimeter = 74cm[/tex]

To calculate the area, we split the shape into 2.

The first has the following dimension:

[tex]Length = 6cm[/tex]

[tex]Width = 7cm[/tex]

While the second has the following dimension

[tex]Length = 21cm[/tex]

[tex]Width = 9cm[/tex]

The area of the shape is:

[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]

[tex]Area = 231cm^2[/tex]

Hence, the shape has a perimeter of 74cm and an area of 231 square cm

Read more about area and perimeters at:

https://brainly.com/question/11957651

Step-by-step explanation:

the answer is in picture

Answer:

 =65/139

Step-by-step explanation:

42 red, 45 green, 20yellow, and 32 purple candies = 139 candies

P( green or yellow) = green or yellow / total

                                =(45+20) / 139

                                  =65/139

Answer:

the answer is c I believe

Answer: x=5, y=-1

Hope this helps

Answer:

[tex]y=2x^2+1[/tex]

Step-by-step explanation:

The general equation for a parabola in vertex form is the following:

[tex]y=a(x-h)^2+k[/tex]

Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,

[tex]y=a(x-h)^2+k[/tex]

Vertex: (0, 1)

[tex]y=a(x-0)^2+1[/tex]

A point on the parabola: (1, 3)

[tex]3=a(1-0)^2+1[/tex]

[tex]3=a1+1\\3 = a + 1\\[/tex]

Inverse operations,

[tex]3=a+1[/tex]

[tex]2 = a[/tex]

Substitute back into the original expression:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=2(x-0)^2+1[/tex]

Simplify to put in standard form:

[tex]y=2(x-0)^2+1[/tex]

[tex]y=2(x)^2+1[/tex]

[tex]y=2x^2+1[/tex]

Answer: a

Step-by-step explanation:

I guess that we know that the angle θ is in the fourth quadrant, and we know that:

cos(θ) = 9/19

now we want to find the value of sin(θ).

To do it, we can remember that for a point (x, y), such that we can define an angle β between the positive x-axis and a ray that connects the origin with the point (x, y), we can write the relations:

tan(β) = x/y

sin(β) = y/√(x^2 + y^2)

cos(β) = x/√(x^2 + y^2)

Because the angle is in the fourth quadrant, we know that:

x > 0

y < 0.

And we also know that:

cos(θ) = 9/19

then we have:

x = 9

√(x^2 + y^2) = √(9^2 + y^2) = √(81 + y^2) = 19

Solving the above equation we can find the value of y, that we need to remember, is negative:

√(81 + y^2) = 19

81 + y^2 = 19^2

y^2 = 19^2 - 81 = 280

y = √280 = -16.7

Now that we know the value of y, we can replace that in the sine equation to get:

sin(θ) = -16.7/19 = -0.879

If you want to learn more, you can read:

https://brainly.com/question/19830127

Answer:

34.166

Step-by-step explanation:

Mean=(Sum of all the numbers)/12=410/12=34.166

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}[/tex]

[tex]\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}[/tex]

[tex]\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}[/tex]

[tex]\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 305 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 325 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 370 + 15 + 25}[/tex]

[tex]\mathsf{= 385 + 25}[/tex]

[tex]\mathsf{= \bf 410}[/tex]

[tex]\mathsf{= \dfrac{410}{12}}[/tex]

[tex]\mathsf{\dfrac{410}{12} \approx \bf 34.1667}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5

Step-by-step explanation:

The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)

The slope of line PQ is;

Slope = change in y ÷ change in x = [tex]\frac{6 - 0}{0 -- 3}[/tex] = 2

The product of slopes of two perpendicular lines = -1

Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2

Taking another point (x,y) and point P(-3,0) the equation of line PR is;

Slope = [tex]\frac{y - 0}{x - -3} = -\frac{1}{2}[/tex]

Cross-multiplying gives;

2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5

Step-by-step explanation:

Soln

Given

Cp of 1 glass tumbler=80.1000

=Rs 80000

Number of broken glass tumbler=50

Number of remaining glass tumbler=1000-50

=950

Sp of one glass tumbler=96

Sp of 950 glass tumbler=96.950

=91200

Now

Sp > Cp so it is profit

Profit%=sp-cp/cp.100

=91200-80000/80000.100

=11200/80000.100

=14%

Answer:

14%profit

Step-by-step explanation:

Cost of 1000 tumblers=1000×80=80,000

50 of them were broken: 1000-50=950

: He sells 950 tumblers of rs.96 each= ( 950×96)

S.P=91200

We can clearly see he gains for rs.11200.

P%=gain/C.P×100

11200×80000×100

=14%

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.

It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.

A UPC can be validated with a manual calculation:

Given :

UPC = 3-25866-53590-5/0

=> Step 1: Add the digits at odd positions.

3 + 5 + 6 +5 + 5 + 0 = 24

=> Step 2: Multiply the number obtained in steps 1 by 3.

24*3 = 72

=> Step 3: The digits at even positions have to be added except check digit

2 + 8 + 6 +3 +9 = 28

=> Step 4: Add the numbers obtained in Step 2 and step 3.

72+ 28 = 100

=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.

Here 100 will be subtracted from 110.

110 - 100 = 10

the last digit will be 0,

Thus, the correct option is B. 3-25866-53590-0.

Learn more about:

https://brainly.com/question/12538564

Answer:

y = 3

Step-by-step explanation:

*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.

5y + 10 = 28 - y

*Add y to both sides.

6y + 10 = 28

*Subtract 10 from both sides.

6y = 18

*Divide both sides by 6.

y = 3

In triangle EFG, with angle bisector FH and equal lengths for EF and GF, the value of y is 3.

Use the concept of a triangle defined as:

A triangle is a 3-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Given that,

Angle EFG has an angle bisector FH.

EF = GF (the lengths of the corresponding sides of triangle EFG are equal).

EH = 5y + 10 (length of segment EH).

HG = 28 - y (length of segment HG).

To find the value of y,

Start by applying the angle bisector theorem in triangle EFG.

According to the theorem,

The ratio of the lengths of the segments formed by the angle bisector to the corresponding sides should be equal.

Since EF = GF,

Set up the following equation:

EH / HG = EF / FG

Substituting the given values, we have:

[tex]\dfrac{(5y + 10)}{ (28 - y)} = \dfrac{1} { 1}[/tex]

Cross-multiplying, we get:

5y + 10 = 28 - y

Combining like terms, we have:

6y = 18

Dividing both sides by 6, we find:

y = 3

Therefore, the value of y is 3.

To learn more about the triangle visit;

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#SPJ3

Step-by-step explanation:

A natural number is a positive whole number.

A whole number is a positive number with no fractions or decimals.

A interger is a whole number negative or positive.

A rational number is a number that terminates or continue with repeating digits.

A irrational number is a number that doesn't terminate or continue with repeating digits.

1. Rational Number

2. Natural,Whole,Interger,Rational

3. Whole,Rational,Interger

4. Rational

5.Irrational

6.Rational

7.Natural,Whole,Interger,Rational

8.Interger,Rational

9.Irrational

Answer:

198 KM

Step-by-step explanation:

82.5KM/5.5L= 15KM per liter

13.2 x 15 = 198 KM

Answer:

the third option

Step-by-step explanation:

the 5 pounds weight at birth is the starting value.

so, the function needs to have a constant part of at least +5.

and every month 0.5 pounds are added.

that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.

w = weight after t months

t = number of months measured

Answer:

A complex number bein scaled by a real number would NOT produce any "rotation" ... "C" should be the answer.

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{4}[/tex] x - 1

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (12, - 4) into the partial equation

- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1

y = - [tex]\frac{1}{4}[/tex] x - 1 ← equation of line

Answer:

128 ft^2

Step-by-step explanation:

each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128