Suppose that $2000 is loaned at a rate of 16.5%, compounded semiannually. Assuming that no payments are made, find the amount owed after 7 years. Do not round any intermediate computations, and round your answer to the nearest cent.

The graph of a linear function is a straight line.

Answer:

r = l / π/180× θ

11.6 cm

Step-by-step explanation:

l = π/180 × r × θ

r = l / π/180× θ

r = 12.5 / π/180× 62

r = 11.55156845

Answer:

Below

Step-by-step explanation:

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,11,5,8. Answers are in order from the first to the last

Answer:

He had 534.45 more in credits that debits

Step-by-step explanation:

Ignatius hd $534.45 more in credits than in debits. Since Ignatius had an initial balance of $124.82 at the beginning of the month and ended the month with $659.27 he was up money versus what he had in his account at the beginning of the month. During the month Ignatius made money that was credited to his account so that he ended it with a higher balance. 

Answer:

by using the quadratic formula

Step-by-step explanation:

negative b plus or minus the square root of b squared minus 4ac, then all divided by 2a

Answer:

El área a cubrir es de 4800 cm^2.

Step-by-step explanation:

La pregunta está incompleta:

Laura quiere cubrir con papel de china una puerta como la que se muestra en el dibujo cuánto es centímetros cuadrados. Las medidas son 80 cm de largo y 60 cm de ancho.

Tenemos que calcular el área que representa la puerta, cuyos lados son 80 cm y 60 cm.

El área A se calcula multiplicando ambos lados:

[tex]A=80\,cm\cdot60\,cm=4800\,cm^2[/tex]

Answer:

y = 4 sin(2π/11 x) + 2

Step-by-step explanation:

y = A sin(2π/T x + B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the midline.

A = 4, T = 11, and C = 2.  We'll assume B = 0.

y = 4 sin(2π/11 x) + 2

The sine function with the desired characteristics is given by:

[tex]y = 2\sin{\left(\frac{2\pi}{11}\right)} + 2[/tex]

The standard sine function is given by:

[tex]y = A\sin{Bx} + C[/tex]

In this problem:

Then, the equation for the sine function is:

[tex]y = 2\sin{\left(\frac{2\pi}{11}\right)} + 2[/tex]

A similar problem is given at https://brainly.com/question/18055768

Answer:B

Step-by-step explanation:

Answer:

-11 and -1

Step-by-step explanation:

x² + 12x = -11

x² + 12x + 36 = -11 + 36

(x+6)² = 25

x + 6 = √25

x + 6 = 5

x = 5 - 6

x = -1

x+6 = -5

x = -11

Answer:

3.3

Step-by-step explanation:

18x-5x=13+20

13x=33

x=2.5

Answer:

1/5

Step-by-step explanation:

i had a similar question

For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average). 

So the cost for one play is 2 dollars and your win is 10/6. 

Value is -2+10/6=-1/3 dollars

So you lose 1/3 dollars on average with each game

since you have no limited rolls u put 1/5

this from another question but both same just different numbers

Answer:  C

Step-by-step explanation:

Multiply the number outside of the matrix to EVERY value inside that matrix.

Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.

[tex]X\left[\begin{array}{cc}a&b\\c&d\end{array}\right] +Y\left[\begin{array}{cc}e&f\\g&h\end{array}\right]=\left[\begin{array}{cc}X(a)+Y(e)&X(b)+Y(f)\\X(c)+Y(g)&X(d)+Y(h)\end{array}\right]\\\\\\\\\\-3\left[\begin{array}{cc}2&7\\8&-6\end{array}\right] +2\left[\begin{array}{cc}0&1\\4&-2\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(2)+2(0)&-3(7)+2(1)\\-3(8)+2(4)&-3(-6)+2(-2)\end{array}\right] \\\\\\=\left[\begin{array}{cc}-6&-19\\-16&14\end{array}\right][/tex]

Answer:

Option B

Step-by-step explanation:

x^3

Coefficient = 1

Option B

Answer:

B = 1

Step-by-step explanation:

this is becus we don't write 1 as a coefficient it's there but in an invisible form

anyone who make the one visible is considered an amateur

Answer:

11i-6

Step-by-step explanation:

Answer:

11i-6

Step-by-step explanation:

(-3+6i)(-3+5i)

combine like terms (-3)+(-3)=-6

6i+5i=11i

Answer:

There is not enough evidence to conclude that the data supports the idea that more than 50% of people plan on voting for the levy

Step-by-step explanation:

Sample size, n = 150

Number of people that plan on voting for the levy, X = 78

Proportion of people that plan on voting for the levy:

[tex]\bar{p} = X/n\\\bar{p} = 78/150\\\bar{p} = 0.52[/tex]

The study is to determine whether or not the data supports the idea that more than 50%(0.5) of people plan on voting for the levy

The null and alternative hypotheses are:

[tex]H_0: p \leq 0.5\\H_a: p > 0.5[/tex]

Calculate the test statistics:

[tex]t_s = \frac{\bar{p} - p}{\sqrt{\frac{p(1-p)}{n} } } \\t_s = \frac{0.52-0.5}{\sqrt{\frac{0.5(1-0.5)}{150} } } \\t_s = 0.49[/tex]

For a test statistic [tex]t_s = 0.49[/tex], the p-value = 0.3121

The significance value, [tex]\alpha = 0.10[/tex]

Since the p-value(0.3121) is greater than α(0.10), the null hypothesis [tex]H_0[/tex] will be accepted.

This means that there is not enough evidence to conclude that the data supports the idea that more than 50% of people plan on voting for the levy

Answer:

3/8

Step-by-step explanation:

The possible outcomes

TTT TTH THT THH  HHH HHT HTH HTT  = 8 outcomes

There are TTH THT HTT  3 with exactly two tails

P ( exactly 2 tails) = 3/8

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The outcomes you are looking for are either HTT, THT, or TTH.

The possibility to toss tails or heads is 0.5. Thus the possibility to throw T and then H and then H is:

[tex]\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}[/tex]

We have three ways of getting 2 tails, the possibility of throwing exactly two tails in three tosses is:

[tex]\frac{1}{8} + \frac{1}{8} + \frac{1}{8} = \frac{3}{8}[/tex]

0.375 is the probability of getting exactly 2 tails in 3 tosses.

{0 tails}={HHH}

{1 tails}={TTH, THT, HTT}

{2 tails}={HTT, TTH, THT}

{3 tails}={TTT}

There are 3 cases with getting two tails out of 8 possible outcomes.

Answer: choice A

Step-by-step explanation:

the shaded parts add up to 4wholes and 1/4

or 17/4=4 1/4

Answer:

a. An experiment

b. No

Step-by-step explanation:

a. Robin's research method can be concluded to be an experiment because she has a testable group (pots of water with salt) and a control group (pots of water without salt).

2. Based on this alone, she cannot conclude that the salt caused the

difference in temperature because she has not set some appropriate conditions which are to be met for this test.

Answer: choice3) 25

Step-by-step explanation:

The constant ratio of y/x is 2.5

so if the x value is 10 the y value would be 25(10*2.5).

Answer:

2/5

Step-by-step explanation:

There are 20 fish, 8 of which are small and blue.  Therefore, the probability of randomly selecting a small blue fish is 8/20 = 2/5.

Answer:

B.

Step-by-step explanation:

Premium insurance is an insurance amount paid to the insurer periodically. In this type of insurance, the insurer is required to provide coverage. This insurance policy covers healthcare, life, auto, home, etc. In this insurance, one is required to pay a certain amount of money on monthly, quarterly, or annually basis.

In the given scenario, Sean should buy premium insurance as it covers life and healthcare insurance as well. He can pay $500 on monthly basis to the insurance company. And after Sean's death, his son can claim the amount.

So, the correct answer is option B.

Answer:

A. annuity

Step-by-step explanation:

I know it is a little late for this answer, but I thought I would add it for anyone else who is struggling :) I know it is annuity because I literally just took the test and got it right.

Answer:

Yes, the answer is 3w-15

Step-by-step explanation:

-15 (fifteen less than)

3w (three times the width)

Answer:

6n+1

Step-by-step explanation:

first term=13-6=7

nth term=7+(n-1)6=7+6n-6=6n+1

Answer:

aₙ= 6n +1

Step-by-step explanation:

Second term a₂= 13

Common difference d= 6

Then first term

nth term:

Answer:

[tex] Min =120, Max= 150[/tex]

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

[tex] Q_1 = \frac{140+120}{2}=130[/tex]

The median is the value in the 6th position from the dataset ordered and we got:

[tex] Median= 135[/tex]

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

[tex] Q_3 = \frac{140+143}{2}=141.5[/tex]

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

[tex] Min =120, Max= 150[/tex]

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

[tex] Q_1 = \frac{140+120}{2}=130[/tex]

The median is the value in the 6th position from the dataset ordered and we got:

[tex] Median= 135[/tex]

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

[tex] Q_3 = \frac{140+143}{2}=141.5[/tex]

The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Answer:

Step-by-step explanation:

1. constraints with "[tex]\geq[/tex]" we should subtract surplus variable S1, S2, S3 and add artificial variable A1, A2, A3

Hence Z = 20 x1 + 32x2 + 40x3 + 0S1 + 0S2 + 0S3 + MA1 + MA2 + MA3

subject to

[tex]3x_1 +x_2+6x_3-S_1+A_1=9[/tex]

[tex]x_1+x_2-S_2+A_2=9[/tex]

[tex]4x_2+x_3-S_3+A_3=12[/tex]

and [tex]x_1,x_2,x_3,S_1,S_2,S_3,A_1,A_2,A_3\geq 0[/tex]

Answer:

3.8% , unusual

Step-by-step explanation:

We have that the mean is 175 degrees (m) and the standard deviation is 6.2 degrees (sd), so we are asked:

P (x <164)

P ((x - m) / sd <(164 -175) /6.2)

P (z <- 1.77)

If we look in the normal distribution table we have to:

P (x <164) = 0.0384

That is, the probability is 3.8%

Unusual is when the probability is less than 5%, that is to say in this case if it can be said that an unusual data.

Answer:

d. Two sample t procedure for two means.

Step-by-step explanation:

The study have a treatment group, which is the group of women that are taking the high dose of green tea extract, and a control group, in order to compare. They are assigned randomly to each group.

Then, the difference fo the two sample means is calculated and a t-test is performed in order to conclude if the two populations means are significantly different.

Apparently they are significantly different, as this is the conclusion with a P-value of 0.025.

Answer:

(0.0706, 0.1294)

Step-by-step explanation:

Confidence interval of a proportion is:

CI = p ± CV × SE

where p is the proportion,

CV is the critical value (z score or t score),

and SE is the standard error.

The sample is large enough to estimate as normal.  For 95% confidence level, CV = z = 1.96.

Standard error for a proportion is:

SE = √(pq/n)

SE = √(0.1 × 0.9 / 400)

SE = 0.015

The confidence interval is:

CI = 0.1 ± (1.96)(0.015)

CI = (0.0706, 0.1294)

Round as needed.

Answer:

a) 15.8 ms-1

b)869 m

Step-by-step explanation:

We have to obtain the resultant velocity by the Pythagorean theory;

R^2= V1^2 + V2^2

Where

R= resultant velocity of the boat

V1= velocity of the boat

V2= velocity of the flowing river

Thus;

R= √V1^2 + V2^2

R= √15^2 + 5^2

R= √225 + 25

R= √250

R= 15.8 ms-1

B) from

v= s/t

Where

v= velocity (resultant velocity in this case)

s= distance

t= time (55 secs)

s= vt

s= 15.8×55

s= 869 m

Answer:

x = -2

y = -3

Step-by-step explanation:

We can use either substitution or elimination for this problem. I will use elimination to solve this problem:

Step 1: Eliminate x by adding the 2 equations together

9y = -27

y = -3

Step 2: Plug in y into one of the original equations to get x

-9x + 4(-3) = 6

-9x -12 = 6

-9x = 18

x = 2

And we have our final answers!

Answer:

B. 0

Step-by-step explanation:

To find slope, use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex] to find m in y = mx + b. Your m is always your slope.