Jovan bought a bond with a face value of 15,000 and a coupon rate of 8.5%. The bond will mature in 15 years. How much interest will he receive semiannually

Answer:

C edg 2020

Step-by-step explanation:

the proportional segments for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

Given:

In the given diagram , QS is parallel to MN

when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion

From the given the sides are in proportion

[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]

so the answer for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

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Answer:

Answer B

Step-by-step explanation:

The already given answer is correct, but if you need to know what answer it is without getting your calculator out, its B, or

0.049 (square)2 -(square) 2 N

0.049√2-√2 N

Final answer:

To solve 0.98 = log x, you determine the number x for which 10 raised to the power of 0.98 equals x. Using a calculator, you find that x is approximately 95.50.

Explanation:

To solve the equation 0.98 = log x, we need to find the value of x such that when you take the common logarithm (base 10) of x, you get 0.98. A common logarithm is a logarithm with base 10, and the equation informs us that x is 10 raised to the power of 0.98 since y = log10(x) can be rewritten as x = 10y.

To find x, we can use the inverse operation of logarithm, which is exponentiation. We can express this process as follows:

x = 100.98

Using a calculator with exponentiation functionality, we enter the value of 0.98 and use the 10x function (sometimes labeled as INV or SHIFT followed by the LOG key).

The result is that x is approximately 95.50 when rounded to the nearest hundredth.

Given is a Right triangle PQR with angle Q = 90 degrees.

Given are sides PQ = 8 cm, QR = 15 cm, PR = 17 cm.

Side PR is the hypotenuse.

We can use formula for "sin" given as follows :-

[tex] sin(\theta)=\frac{Opposite}{Hypotenuse} [/tex]

For angle R, opposite side would be PQ.

[tex] sin(R)=\frac{PQ}{PR} \\\\
sin(R)=\frac{8}{17} \\\\
sin(R)=0.470588235 \\\\
R=sin^{-1}(0.470588235) \\\\
R = 28.07248694 \;\;degrees \approx 28.07 \;degrees [/tex]

For angle P, opposite side would be QR.

[tex] sin(P)=\frac{QR}{PR} \\\\
sin(P)=\frac{15}{17} \\\\
sin(P)=0.882352941 \\\\
P=sin^{-1}(0.882352941) \\\\
P = 61.92751306 \;\;degrees \approx 61.93 \;degrees [/tex]

Hence, R = 28.07 degrees and P = 61.93 degrees.

To solve the problem we must know about Trigonometric functions.

[tex]\rm {Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\rm {Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\rm {tan\theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

For ∠R, the opposite side will be PR, therefore, PR will be the Perpendicular,

Substituting the values in the formula of Sine,

[tex]\rm {Sin (\angle R)=\dfrac{PQ}{PR}\\\\ [/tex]

[tex]\rm {Sin (\angle R)=\dfrac{8}{17}\\ [/tex]

[tex]\rm {(\angle R)=Sin^{-1} \dfrac{8}{17}\\ [/tex]

[tex]\rm {(\angle R)=28.0724^o [/tex]

Hence, the value of the ∠R is 28.0724°.

For ∠P, the opposite side will be QR, therefore, QR will be the Perpendicular,

Substituting the values in the formula of Sine,

[tex]\rm {Sin (\angle P)=\dfrac{QR}{PR}\\\\ [/tex]

[tex]\rm {Sin (\angle P)=\dfrac{15}{17}\\ [/tex]

[tex]\rm {(\angle P)=Sin^{-1} \dfrac{15}{17}\\ [/tex]

[tex]\rm {(\angle R)=61.9275^o [/tex]

Hence, the value of the ∠P is 61.9275°.

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The standard form is given by :

[tex] ax^{2} +bx +c=0 [/tex]

So we have to convert given equation in this form by bringing all terms to one side and making 0 on the other side.

[tex] 5x^{2} +9x=4 [/tex]

Now we have to bring 4 to the left side,

subtracting 4 on the left,

[tex] 5x^{2} +9x-4=0 [/tex]

Comparing our equation with standard form,

Answer : a=5, b=9 and c=-4 ( second option is right )

The dimensions of the rectangular piece of plastic are either 2mm by 5mm or 5mm by 2mm, based on the given area and perimeter.

We'll use the formula for the perimeter of a rectangle: 2(length + width) = perimeter and the formula for area: length x width = area. Given we have area of 10mm2 and perimeter of 22mm, we can set up two equations. Let's denote the length as 'L' and the width as 'W'.

Formula of perimeter of a rectangle: 2(L + W) = 22

Formula of area of a rectangle: L * W = 10.

We solve these two equations simultaneously. We get two possible solutions: Dimensions could be either {2mm, 5mm} or {5mm, 2mm}. Either the length is 5mm and the width is 2mm, or the length is 2mm and the width is 5mm.

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Answer:

Assume at least one angle is not acute.

Step-by-step explanation:

With an indirect proof, instead of proving that something must be true, you prove it indirectly by showing that it cannot be false.

An indirect prove starts assuming that the statement is false and then your goal is to arrive at a contradiction. Then, in this case, the first step of indirectly proving at least one angle is acute is assume at least one angle is not acute.

It is given in the question that in the lemon squash 2 parts concentrate is added to 5 parts of water. Thus it makes the concentrate to water ratio as 2:5 or [tex] \frac{2}{5} [/tex]. Now, if this ratio is maintained then the amount of water to be added to 90 ml concentrate in a glass can be calculated as:

[tex] \frac{2}{5}=\frac{90}{x} [/tex]

Where x is the amount of water to be added, in ml (milliliters).

Cross multiplication of the above equation will give us:

[tex] 2x=90\times 5=450 [/tex]

Dividing both sides by 2 we will get:

[tex] x=\frac{450}{2}=225 [/tex]

Thus, if we put 90ml of concentrate in a glass, the water that should be added must be 225 ml.

The amount of water should be added is 225 ml if the lemon squash is 2 parts concentrated to 5 parts of water. if you put 90ml of concentrate in a glass

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.

We have:

Lemon squash 2 parts concentrate to 5 parts of water.

Let's suppose the amount of water is x ml

Then according to the problems the ratios:

[tex]\frac{2}{5} =\frac{90}{x}[/tex]

2x = 90×5

2x = 450

x = 225 ml

Thus, the amount of water should be added is 225 ml if the lemon squash is 2 parts concentrated to 5 parts of water. if you put 90ml of concentrate in a glass

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Answer:

$644.64

Step-by-step explanation:

Total shares=316

Annual Dividend on 1 share =$8.16

Annual Dividend on 316 shares=$8.16*316

=$2578.56

As there are four quarters in a year, the total annual dividend will be divided by 4 to get the quarterly dividend.  

Quarterly Dividend for 316 shares=  2578.56/4

=$644.64

Answer:

the answer is c

Step-by-step explanation:

The payroll deductions among the given choices are Taxes, health insurance premiums and pension fund contributions.

Payroll deductions are those amounts which are deducted from an employee's payroll amount. These amounts are usually withheld by the employer where the employee works. Payroll deductions include insurance pension contributions, wage assignments, child support payments, taxes, and union and uniform dues.

Final answer:

The rectangle's length to be 20 meters and the width to be 14 meters.

Explanation:

We are given that a rectangle has a perimeter of 68 meters and an area of 280 square meters, and we need to find its dimensions. Let's call the length of the rectangle L and the width W.

The perimeter (P) of a rectangle is given by the formula P = 2L + 2W. We know the perimeter is 68 meters, so we can write the equation:

1. 68 = 2L + 2W

The area (A) of a rectangle is given by the formula A = L × W. We know the area is 280 square meters, so we can write the equation:

2. 280 = L × W

To find L and W, we solve these two equations simultaneously.

Divide the perimeter equation by 2 to simplify:

34 = L + W

We can then express W in terms of L using this equation:

W = 34 - L

Substitute this into the area equation:

280 = L × (34 - L)

This gives us a quadratic equation:

L2 - 34L + 280 = 0

Solving this quadratic equation, we find that L = 20 and W = 14 or L = 14 and W = 20. Since the width is shorter than the length, the dimensions of the rectangle are length 20 meters and width 14 meters.