find the simple interest due on a 270-day loan of $20,000 at an interest rate of 8.875%

$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

To learn more about  interest, visit :

https://brainly.com/question/13324776

#SPJ9

Answer:

The most basic and common reason to use parentheses, brackets, and braces is to control the order of operations

Step-by-step explanation:

In this case you would calculate 5 minus 2 first (parentheses), then multiply by 8 (brackets), then complete the part inside the curly braces, and finally multiply by 6.

Answer:

The Order of Symbols

Aside from operations, symbols such as parentheses, brackets and

braces, follow a specific order too!

First, you carry out the operation inside the PARENTHESES.

Then, you carry out the operation inside the BRACKETS.

Lastly, you carry out the operation inside the BRACES.

The pοints which lie οn line b are (-3,4) and (5,-2).

Parallel lines, a system with nο sοlutiοn means that the twο functiοns dο nοt share a cοmmοnly οrdered pair. It indicates graphically that the plοts never intersect.

It is pοssible tο find any pοint in a 2D plane οr 3D space using cοοrdinates, which are οrdered pairs οf pοints. A grοup οf variables that accurately represent a pοsitiοn.

Variables, a mathematical οbject is represented by a variable, which is a symbοl. A variable can be used tο represent any number, vectοr, matrix, functiοn, functiοn argument, set, οr set element.

The pοints (-3,2) and (5,-4) lie οn line a. And accοrding tο questiοn lines a and b fοrm a system with nο sοlutiοn.

Sο, by taking the help οf the graph we get the pοints οf b are (-3,4) and (5,-2).

To learn more about parallel line refer the below link

https://brainly.com/question/26961508

#SPJ1

Answer:87

Step-by-step explanation:

Answer:

1,2,4,7,14, or 28

Step-by-step explanation:

I got it right

Answer:

<3 and <11

Step-by-step explanation:

Answer: \(48^{\circ}\)

Step-by-step explanation:

Coterminal angles differ by integer multiples of \(360^{\circ}\).

So, an angle coterminal with an angle of \(408^{\circ}\) is \(408^{\circ}-360^{\circ}=48^{\circ}\), which lies within the required interval.

Answer:  i) θ = 30°, 60°, 210°, & 240°

              ii) θ = 20° &  200°

Step-by-step explanation:

i) sin (2θ) = cos 30°

\(\sin(2\theta)=\dfrac{\sqrt3}{2}\\\\.\quad 2\theta=\sin^{-1}\bigg(\dfrac{\sqrt3}{2}\bigg)\\\\.\quad 2\theta=60^o\qquad 2\theta=120^o\\\\.\quad \theta=30^o\qquad \theta=60^o\)

To include all of the solutions for one rotation, add 360/2 = 180 to the solutions above.   θ = 30°, 60°, 210°, 240°

If you need ALL of the solutions (more than one rotation), add 180n to the solutions.   θ = 30° + 180n   &   60° + 180n

*********************************************************************************************

ii) cos α = sin (50 + α)

Use the Identity: cos α = sin (90 - α)

Use Transitive Property to get:   sin (50° + α) = sin (90° - α)

50° + α = 90° - α

50° + 2α = 90°

        2α = 40°

          α = 20°

To find all solutions for one rotation, add 360/2 = 180 to the solution above.

α = 20°, 200°

If you need ALL of the solutions (more than one rotation), add 180n to the solution. α = 20° + 180n

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

Answer:

21 calories per cup

Step-by-step explanation:

4cups↔84calories

1cup  ↔less

1/4x84=21calories

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Here is the proof :-

So

Adjacent angle is also equal

Hence

Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

11 bag are needed

Step-by-step explanation:

area of trapezoid is 1,079

area of triangle is 507

all together that area is 1586

1586÷150=10.5733333

A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

For more questions like Positive integers  click the link below:

https://brainly.com/question/29770528

#SPJ4

Answer:

1 week

Step-by-step explanation:

Answer:

In my points of view brand D should elimininate.In table have show the brand of D.If I am wrong I am sorry for talking 5pbt

The brand B must be eliminated since it has highest percentage 4.79%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Brand A percentage = 40/913 ×100

= 4.38%

Brand B percentage = 38/792 ×100

= 4.79%

Brand C percentage = 21/626 ×100

= 3.35%

Brand D percentage = 15/451 ×100

= 3.32%

Therefore, brand B must be eliminated since it has highest percentage 4.79%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ7

Answer:

the missing sign is for c) is <

Answer: 13/25

Step-by-step explanation:

52/100 divided by 4/4

= 13/25

Answer:

-15 is a answere

Step-by-step explanation:

According to BODMAS(bracket of Division Multiplication Addition Sutraction) rule

5*10-5*13

50-65

-15

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

Learn more about Probability at:

https://brainly.com/question/24756209

#SPJ1

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

B (the graph with the curved line)

Step-by-step explanation:

A curved line represents acceleration. Straight lines mean that the velocity is continuous (so no change in speed).

Answer: the answer is B

Step-by-step explanation:

Answer:

a)-79.6

b)=27

Step-by-step explanation:

a) F=9/5(-62)+32

F=-79.6

b) 81=9/5C+32

81-32=9/5C

49=9/5C

C=27.222

Therefore C=27

Answer:

  x = 10

Step-by-step explanation:

You want the value of x that satisfies x -(x-1)/3 -(2x-5)/5 +(x+8)/6 = 7.

The least common denominator is 5·6 = 30, so we can eliminate the fractions by multiplying by 30:

  30x -10(x -1) -6(2x -5) +5(x +8) = 7·30

  30x -10x +10 -12x +30 +5x +40 = 210 . . . . . eliminate parentheses

  13x +80 = 210 . . . . . . . . . collect terms

  13x = 130 . . . . . . . . . . subtract 80

  x = 10 . . . . . . . . . . divide by 13

__

Additional comment

Often an equation can be nicely solved by a graphing calculator. We like to write the equation in the form f(x) = 0, and look for the x-intercepts. Those are usually labeled by the calculator. Here that rewrite is accomplished by subtracting 7 from both sides.

Answer:

(x-2)^2 + (y+3)^2 = 5.1^2

Step-by-step explanation:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where h and k are the x and y values of the center of the circle respectively and r stands for the radius.

The center is given to us, at (2, -3) so we can plug that in:

(x-(2))^2 + (y- (-3))^2 = r^2

Simplify:

(x-2)^2 + (y+3)^2 = r^2

We can also solve for the radius by getting another point given to us: (3,2).

Using the pythagorean theorem, we can find how far the two points are away from each other:

a^2 + b^2 = c^2

1^2 + 5^2 = c^2
1 + 25 = c^2

26 = c^2

c ~ 5.1

Plug the radius we solved for in for r:
(x-2)^2 + (y+3)^2 = 5.1^2

Answer:

84.375%

Step-by-step explanation:

Total no. of computation problem=32-5=27

Total no. problems in the assignment=32

=) per%= 27/32×100%=84.375%

PLS MARK ME AS BRAINLIEST

Answer:

graph c represent a function

Step-by-step explanation:

if you do the line test the line will not hot any other points  excpet one