A woman acquires a bond that has maturity date of 10 years and a face value of $5,000. If the bond has a coupon rate of 6%, then how much interest will she earn each year? *

Answer: 3x-4y-6z

Step-by-step explanation:

First collect the like terms and you get:
-2x + 5x - 2y - 2y - 2z - 4z
Add similar elements:
3x - 2y - 2y - 2z - 4z
And you do it again and you get: 3x-4y-2z-4z
then just take away -4z from -2z and you get: 3x-4y-6z

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The required additional information required to prove the Triangles congruent are :

[tex]\qquad \sf  \dashrightarrow \: 1. \: X V= FD[/tex]

The Triangles will be congruent by HL congruency.

[tex]\qquad \sf  \dashrightarrow \: 2. \: MH = MI[/tex]

The Triangles are congruent by LL congruency.

[tex]\qquad \sf  \dashrightarrow \: 3. \: \angle EDC = \angle VUC[/tex]

The Triangles are congruent by HA congruency.

[tex]\qquad \sf  \dashrightarrow \: 4. \: \angle J = \angle C[/tex]

The Triangles are congruent by LA congruency.

The line of best fit model the relationship between variables on a dataset

For the line of best fit, we have the following calculation summary (from a graphing calculator)

The equation of the line of fit is represented as:

[tex]y = bx + a[/tex]

So, the equation of the line of fit is:

[tex]y = 9.15x - 12.02[/tex]

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Answer:

Scale factor is 1/4

The scale factor is 1/4.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.

Given:

As per the figure

C'D' = 3 units

and, CD = 12 units

So, Scale factor = Dimension of the new shape / Dimension of the original shape.

=3/12

=1/4

Hence, the scale factor is 1/4.

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#SPJ2

Answer:

Step-by-step explanation:

Since the mean is also average

You

1) Add all your values

    -----18+19+21+22+25+27+29+30+31+34

2) Then, divide [256] by how many points/numbers you have

    -----256 / 10

Your average/mean is 25.6

The map is an illustration of parallel lines and a transversal

Angles X and 75 are supplementary angles.

So, we have:

X = 180 - 75

Subtract

X = 105

Angles Y and 75 are corresponding angles.

So, we have:

Y = 75

Angles X and Z are alternate exterior angles.

So, we have:

Z = X

This gives

Z = 105

Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively

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Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

Some of the angle measures formed are:

Thus:

X = 180 - 75 = 105° (supplementary angles)

Y = X = 105° (corresponding angles)

Z = X = 105° (alternate exterior angles)

Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

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Answer:

yes!

Step-by-step explanation:

fractions are funky but this is a characteristic of this, if you have a fraction let’s say A/B and you divide it by C/D, the denominator of the second fraction will multiply with the numerator of your first, and B and C will multiply too. Think of it as doing like a lil flip

Answer:

true

Step-by-step explanation:

Answer: the students are smarter than she thinks

Step-by-step explanation:

more people passed

Answer:

7

C is one angle on Triangle

F point is between A and D

CF line is passes through the point P which is center

then From CP=2PF

CF=2x

PF=x

2x+x=21

3x=21

x=7=PF

Answer:

14

Step-by-step explanation:

2^3 is 8. 8+4(1.5) is 8+6 is 14.

Answer:

Step-by-step explanation:

Equation that we have been provided with :

And the value of m is 1.5. So we would be simply substituting the value of m in the equation given above and divide it by 2 as per the demand of the question.

[tex]: \longmapsto \: \sf{\dfrac{2 {}^{3} \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{(2 \times 2 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{(4 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: \times (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 6}{2}\: }[/tex]

[tex] : \longmapsto \: \sf{\dfrac{14}{2}\: }[/tex]

[tex]: \longmapsto \: \cancel{\sf{\dfrac{14}{2}\: }}[/tex]

[tex]: \longmapsto \: \red{\bf{7}}[/tex]

Answer:

The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?

" is 50.3

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population  will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

The formula for the Population Growth Equation is:

      [tex]P_f=P_o*(1+\frac{R}{100} )^t[/tex]        

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%[/tex]

STEP 2 - Find the t  for population 250,000 people.

[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36[/tex]

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The equation computed shows that the sum of the complex number is D. 13 + 12i.

From the information given, the thing that we have to do is to simply collect the like terms and solve the equation.

Therefore, the sum of (3 + 5i) + (10 + 7i) will be calculated thus:

= (3 + 5i) + (10 + 7i)

= 3 + 10 + 5i + 7i

= 13 + 12i

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Answer:

7/5 times 15 is greater than 15

Step-by-step explanation:

I divided 7 over 5 and it came out to be 1.4, then I multiplied 1.4 to 15 and got 21.

Answer:

354.20 + 50.60w ≥ 1,099.51

Step-by-step explanation:

Answer:

C. 16 pints

Step-by-step explanation:

1 quart equals to 2 pints

Answer:

answer is 2 pints

Step-by-step explanation:

2 x 4 is 8

Answer: Tamara can make 24 servings of hot cocoa.

Step-by-step explanation:

3/4 ÷ 1/32= 3/4*32 =3*8= 24

Hopefully, that makes sense and helps you out!

Answer:

Explanation:

To find odd numbers, we have to use n + n + 2

For example let the number be 1, the 1 + 2 = 3, 3 + 2 = 5.

Therefore, used: n + n + 2 expression and it should be equals or at least 76. so finally n + n + 2 ≥ 76  applies.

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Here, [tex]\frac{3}{4}v[/tex] tells us that the vector [tex]v[/tex] is impacted by a scale factor of [tex]\frac{3}{4}[/tex], so we are doing scalar multiplication basically for both components of the vector. This only impacts the magnitude of the vector and not its direction. If we were to assume that [tex]v=\langle4,8\rangle[/tex], then [tex]\frac{3}{4}v=\langle\frac{3}{4}(4),\frac{3}{4}(8)\rangle=\langle3,6\rangle[/tex]. Therefore, this matches vector [tex]u[/tex], so D is the correct answer

Problem 2

Cannot be able to read as the text is too small

Problem 3

Cannot be able to read as the text is too small

Problem 4

[tex]-7u=\langle-7(8),-7(-4)\rangle=\langle-56,28\rangle=-56i+28j[/tex], so A is correct. Remember to use scalar multiplication for each component.

Problem 5

[tex]r-s=\langle5-9,11-(-8)\rangle=\langle-4,19\rangle[/tex], so B is correct. Remember to subtract the horizontal and vertical components seperately.

Answer:

No

Step-by-step explanation:

the answer is 3.

3×3×3=27.

therefore the cube root of 27 is 3.

Answer:

Parallelogram

Step-by-step explanation:

Because it the only without any right angle

2 pairs of opposite angles are equal it can be parallelogram

As it has four sides it can be quadrilateral

No angle is of 90° so can't be a rectangle

4sides are congruent so it can be rhombus

it cannot be rectangle hence cannot be a square also

No opposite sides are parallel hence can't be trapezoid

Ratio remains same

[tex]\\ \rm{:}\dashrightarrow 1/2/6=9/2/x[/tex]

[tex]\\ \rm{:}\dashrightarrow x/2=27[/tex]

[tex]\\ \rm{:}\dashrightarrow x=54ft[/tex]

Answer:

$4.55

Step-by-step explanation:

banana: 80¢ = $0.80

apple: 25¢ = $0.25

mango: 60¢ = $0.60

4 bananas, 3 apples, and a mango =

= 4 × $0.80 + 3 × $0.25 + 1 × $0.60

= $4.55

The speed of the river current is 11.5 km/h.

Speed is the ratio of total distance travelled to total time taken. IT is given by:

Speed = distance / time

Let b represent the speed of the current and t represent the time, hence:

(15 + b)= 36/t

t = 36 / (15 + b)

Also:

(15 - b)= 36/(t + 9)

t = [36 - 9(15 - b)]/(15 - b)

Hence:

36 / (15 + b) = [36 - 9(15 - b)]/(15 - b)

b = 11.5 km/h

The speed of the river current is 11.5 km/h.

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RSM VERIFIED ANSWER

this answer was written by an RSM student, and has been confirmed by the portal

Answer:

3km/hr

not sure how to do it i just copied off my rsm teacher, but its right lol

also would rly appreciate brainliest but i know i didnt have an explaination. I would also really appreciate if other users would thank and rate this answer so people looking at a later date would know its reliable

Answer:

3(5y) or 1(15y)

Step-by-step explanation:

Hopefully this helps you! Have a great night/day!

Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

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Answer:

Step-by-step explanation:

140 degrees

Answer:

Step-by-step explanation:

Step-by-step explanation:

a) 8/7

hope it helps u...