A total of $30,000 is invested in two corporate bonds that pay 5.5% and 6.25% simple interest. the investor wants an annual interest income of %1800 from the investments. what is the most that can be invested in the 5,5% bond?

Answer:

5x^2-14x-4

Step-by-step explanation:

(4x^2-9x-1)+(x^2-5x-3)

4x^2+x^2-9x+(-5x)-1+(-3)

5x^2-9x-5x-1-3

5x^2-14x-4

Answer:

80 inches wide

Step-by-step explanation:

3 inches = 20 feet. 12/3=4. 4*20=80 inches

Answer:

The equation of the line in point slope form is equal to

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

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

(-2,-2) and (2,2)

substitute the values

[tex]m=\frac{2+2}{2+2}=1[/tex]

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=1\\(x1,y1)=(-2,-2)[/tex]

substitute the values in the formula

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

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

Answer: 5

Step-by-step explanation:

)$;&&;:)&!;$:!:&:?($;!:!::99

Answer:

In the given equation : y= 128-4x (select the coordinate and plug in the x and y)

                                       y= 128-4(0)

                                       y= 128-0

                                       y= 128

Therefore, the value for y is 128

Answer:

The correct answer is b = 6 √3 units

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

The correct answer is b = 6 √3 units

Answer:

b = 6

Step-by-step explanation:

The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is

Sine = opposite/hypothesis, since we are to find the value of b. Thus,

Sine 30 = b/12

0.5 =b/12

By cross multiplying,

b = 0.5 × 12

b = 6

Answer:

Below.

Step-by-step explanation:

You could multiply the first equation by 3 and the second one by -2 so that the 2 y terms would be -6y and 6y:

12x - 6y =  21

-6x + 6y = -30

Adding these will eliminate the y variable.

Answer:

B.(-1,2)

Step-by-step explanation:

In a function, there can not be two different values of y corresponding to the same value of x.

See the graph attached.

Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).

If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).

Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.

So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)

Answer:

B.(-1,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

no they are not equivalent

Answer:

No

Step-by-step explanation:

3 divided by 3 gives you 1, whatever you do on top you have to do in the bottom .

7 divided by 3 does not give you 2. Since you cant apply the same rule of divided by 3 and getting a whole number. They are not the same.

Answer:

A.54,000,000

Step-by-step explanation:

apexs

Answer:

Let's use these two sets given to explain what is the domain.

Each value from the left set is x, and from the right is f(x).

If we plug any x from the left set in the function, we'll get f(x)  that corresponds to it and that's exactly what the arrows are showing.

Domain of the function is, basically, a set of all values x can have.

In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.

Answer:

Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.

Step-by-step explanation:

Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.

Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.

Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.

Step-by-step explanation:

The price has gone up by 30% each year so each year it is 130% compared to last year. that means a price rate of 1.3^n, with n as number of years gone by. In this case n=3 so 1.3^3=2.197. $120,000.00×2.197=$263,640.00, which is D

y=0

y=2x+7

x= 7/2 =3.5

- 2×3.5+7 =0

0=- 2×3.5+7

y. x

Answer:

1052

Step-by-step explanation:

The two given boxes for reference are presented below.

Since we know the dimensions of the first container, we can calculate its volume.

[tex]V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3[/tex]

The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.

[tex]v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3[/tex]

The second container held 258 skittles.

The volume of the second box is:

[tex]V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3[/tex]

Using this facts, the volume of a single skittle would be

[tex]v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3[/tex]

Therefore,  the volume of  single skittle is around to 0.42 cm³.

A skittle jar is a cylinder. Its volume is calculated by the formula

[tex]V = r^2h \pi[/tex],

where [tex]r[/tex] is the radius and [tex]h[/tex] is the height. From the given data, we have [tex]r = 3.15 \text{cm}[/tex] and [tex]h = 11.5 \text{cm}[/tex]. Hence, the volume of the jar is

[tex]V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3[/tex]

Now, we can determine the number of skittles in the jar. Let [tex]n[/tex] be the number of skittles in the jar. Then,

[tex]n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\[/tex]

Final answer:

The best estimate for the number of jelly beans in the jar is approximately 1,000 beans, calculated based on linear dimensions and volume estimation.

Explanation:

The best estimate for the number of jelly beans in the jar would be approximately 1,000 beans.

To estimate this, we first look at linear dimensions and consider a rectangular jar. Assuming the jar is about 10 beans deep, 10 beans wide, and 10 beans high, the volume would be around 10 x 10 x 10, giving us ~ 1,000 beans inside.

Answer:

40

Step-by-step explanation:

15 / 37.5% = 40

170 ml of 20 % fungicide solution is mixed with 30 ml of 60% fungicide solution  to create 200 milliliters of a 26% solution

Solution:

The final solution has 200 ml

Let "x" be the ml of 20 % fungicide solution

Then, (200 - x) is the ml of 60% fungicide solution

Then according to question, we can say,

"x" ml of 20 % fungicide solution is mixed with (200 - x) ml of 60% fungicide solution to get 200 ml of 26 % solution

We can frame a equation as:

[tex]x \times 20 \% + (200-x) \times 60 \% = 200 \times 26 \%\\\\\text{Solve the equation for "x" }\\\\x \times \frac{20}{100} + (200-x) \times \frac{60}{100} = 200 \times \frac{26}{100}\\\\\text{Simplify the above expression}\\\\x \times 0.2 + (200-x) \times 0.6 = 26 \times 2\\\\0.2x + 120 - 0.6x = 52\\\\-0.4x = 52 - 120\\\\-0.4x = -68\\\\x = 170[/tex]

Thus 170 ml of 20 % fungicide solution is used

Then , (200 - x) = 200 - 170 = 30 ml of 60% fungicide solution is used

James needs to mix 160 milliliters of the 20% solution with 40 milliliters of the 60% solution, in order to achieve a 26% solution in a total volume of 200 milliliters.

To solve the problem, set up two equations based on the total volume and the percentage of the fungicide.

Solving these two equations simultaneously, we get x = 160 milliliters and y = 40 milliliters.

Therefore, James needs to mix 160 milliliters of 20% fungicide solution and 40 milliliters of 60% fungicide solution to get a 26% solution of 200 milliliters.

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The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2

Step-by-step explanation:

We have to write the given problem mathematically to solve it

So,

[tex]4(5x-8) = 2(4-x)+4[/tex]

First of all, distributive property will be applied

[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x[/tex]

We have to isolate the variable on one side of the equation

Adding 2x on both sides of equation

[tex]20x-32+2x = 12-2x+2x\\22x-32 = 12[/tex]

Addition property of equality with 32

[tex]22x-32+32 = 12+32\\22x = 44[/tex]

Division Property of Equality (22)

[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]

Hence,

The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2

Keywords: Linear equation, variables

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To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.

The equation has only one solution, c = 0.

To determine the number of solutions for the given equation, we need to solve it and see if there is a unique solution, infinitely many solutions, or no solution at all.

First, we can simplify the equation by combining like terms:

9c - 10 = -10c - 10

Adding 10c to both sides, we get:

19c - 10 = -10

Adding 10 to both sides, we have:

19c = 0

Finally, dividing both sides by 19, we find the value of c:

c = 0

The equation has only one solution, c = 0.

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Answer:

2

Step-by-step explanation:

(8x^2+4)-(8x^2+2)

8x^2+4-8x^2-2

4-2

2

Answer:

there are 6 hundredths

Step-by-step explanation:

the 6 is in the hundredths decimal place so the answer would be 6

Answer:

53926

Step-by-step explanation:

539.26x100=53926

Answer:

The correct answer is D. 2.11

Correct statement and question:

What is the simplified value of the expression below rounded to the nearest hundredth?

(3.5x2+9)/(10.4-1.4x2)

Source: Previous question that can be found at brainly

Step-by-step explanation:

Let's solve and simplify, this way:

(3.5 x 2 + 9)/(10.4 - 1.4 x 2)

=(7 + 9)/(10.4 - 2.8)

= 16/7.6

= 2.11 (Rounding to the next hundredth)

The correct answer is D. 2.11

Answer:

its d

Step-by-step explanation:

Answer:

5 1/3 x 2 3/4= 3/4 5 x 2 = 10

Step-by-step explanation:

Multiply fractions 1/3 x 3/4= 3/4

Answer:13.7 degrees

Step-by-step explanation:

a^2+b^2=c^2

15^2-6^2=189

[tex]\sqrt{189\\[/tex]

13.7 degrees

The given statement, "Deposits of gold can be found in the deep ocean" is true.

Explanation:

According to the report of National Ocean service, oceans have nearly 20 million pounds of gold that are suspended in normal sea water to the tune of parts per trillion. Deep down the ocean floor, larger amount of gold are encased in rocks that could be mined. But mining in the deepest part of the ocean is not much cost efficient and would not bring any profits. Moreover, since gold will not get decomposed by salt water, it stays undisturbed on the ocean floor.

Answer:

ture!!!!!

Step-by-step explanation:

Answer:

885

Step-by-step explanation:

Given:  Amount available in the cash register= $ 125.50.

            Every item is just priced at $1.00

            Total amount of money at the end of day= $1085.60

            Sales tax rate= 8.5%

First finding total revenue generated at the end of day,

Total revenue at the end of day= [tex]Total\ cash\ at\ the\ end\ of\ day - Cash\ available\ at\ the\ beginning\ of\ day[/tex]

∴ Total revenue at the end of day= [tex]1085.6- 125.5= \$ 960.1[/tex]

Lets assume total number of item sold be "x".

Now, forming an equation to determine the total revenue generated at the end of day.

We know, Total revenue is the number of item sold at $1 and sales tax revenue generated on the number of item sold.

⇒ [tex]\$1 \times x + \frac{8.5}{100} \times x= \$ 960.1[/tex]

⇒[tex]1x+0.085x= 960.1[/tex]

⇒ [tex]1.085x= 960.1[/tex]

dividing both side by 1.085

⇒[tex]x= \frac{960.1}{1.085}[/tex]

∴ x= [tex]884.884[/tex] [tex]\approx 885[/tex]

Hence, total number item sold in the day is 885

Answer:

ANSWER

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

60/100 = 6/10 ( given by 10th table) = 3/5  (give by 2nd table)