Sophia invest money in an account paying simple interest. She invest 100$ and no money is added or removed from the investment. After one year, she has 108. What is the simple percent interest per year ?

Answers

Answer 1

Answer:

8%

Step-by-step explanation:

She earned 8 dollars on a 100 dollar investment

8/100 = 8%

Answer 2

The answer is  8%

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal as $100 and return as $108 and t=1

Thus 8=100×1×r /100

r=8%

Hence, The rate of interest is 8%

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Related Questions

What is the median of the data represented in the dot plot below?

Answers

Answer:

11

Step-by-step explanation:

organize it:
10, 10, 11, 11, 11, 11, 12, 12, 13
the number in the middle of the order is the median, in this case the median would be 11.

Having trouble with this, help please?

I will give brainliest.

Answers

Answer:

a)     [tex]7x-15=20[/tex]

b)   [tex]\frac{20+15}{7}[/tex]

c)  5

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

To the nearest degree x is equal to 61.1 degrees.

Step-by-step explanation:

use the trig function cosine.

Cos(theta) = adjacent/hypotenuse.

Let x be the unknown angle in the diagram.

Adjacent = 3

Hypotenuse = 6.2

Cos(x) = 3/6.2

x = [tex]Cos^-1(\frac{3}{6.2})[/tex]     (you have to do cos inverse to find x)

X = 61.1

Kalinda is sewing a binding to all of the edges of her blanket The blanket is 137 centimeters wide by 188 Centimeters long the banding is sold in packages of 2.3 meters How many packages will Kalinda need to buy?

Answers

Answer:

1.37+1.37+1.88+1.88= 6.5

6.5/2.3=2.8packages. approximately 3

Blood Types A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as
those in the general population. The distribution for the gendral population is as follows: type A, 22%; type B, 28%; type o,
38%; and type AB = 12%. He selects a random sample of 50 patients and finds the following: 11 have type A blood, 9 have type
B, 24 have type o, and 6 have type AB blood.
At a=0.10, can it be concluded that the distribution is the same as that of the general population? Use the critical value method
with tables.

Answers

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.

Let's set up the null and alternative hypotheses:

Null hypothesis:

The distribution of blood types in hospital patients is the same as that of the general population.

Alternative hypothesis:

The distribution of blood types in hospital patients is different from that of the general population.

We can use a chi-squared test to test the hypothesis.

First, we need to calculate the expected frequencies for each blood type based on the general population distribution:

Expected frequency of type A = 50 x 0.22 = 11

Expected frequency of type B = 50 x 0.28 = 14

Expected frequency of type O = 50 x 0.38 = 19

Expected frequency of type AB = 50 x 0.12 = 6

Next, we can calculate the chi-squared statistic:

[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]

The degrees of freedom for the test is (4 - 1) = 3.

Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.

Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.

Thus,

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

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13-28 Sketch the region enclosed by the given curves and find its area.
19. [tex]y=\cos \pi x, \quad y=4 x^{2}-1[/tex]

Answers

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

A computer is used to generate passwords made up of numbers 0 through 9 and lower case letters the computer generated 400 passwords one character at a time a uniform probability model is used to predict the character in the password what is the prediction of the number of passwords in each the first character is a vow round your answer to the nearest whole number 56 passwords 77 passwords 111 passwords 233 passwords

Answers

Answer:

56

hope it helpes if you could give me brainliest so i could level up

The parts of a solid are faces, vertices and __________.

Answers

Answer:

edges

Step-by-step explanation:

Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough

Answers

Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

How you do this pls help

Answers

Answer:

why do ask the question which answer is given below

a small pizza has a diameter of 8 inches what is the circumference

Answers

Circumference = 2 πr
C=2 π(4)
*The radius is 4 because radius is half of the diameter, and the diameter is 8 so 8/2=4
C=25.13

Answer:

Given :-

Diameter of Pizza is 8 inches , radius = 4 inches

To find :-

Circumference of Circular pizza

Solution :-

Formula for circumference of Circular pizza = 2πr

Putting the known values

Circumference = 2 × 3.14 × 4

Circumference = 25.12 cm

Pls I need help with this one

Answers

Step-by-step explanation:

formula=⅓πr×r

⅓ * 22/7 * 4*4

1056/21

=50.285

approximately=50.3

(17x + 4y) + (48x + 21y)
A.65x + 25y
B.21x + 25y
C.65x + 38y
D.21x + 38y

Answers

How to solve your problem

[tex](17x+4y)+(48x+21y)[/tex]

Simplify:

(1) Combine like terms

[tex]17x+4y+48x+21y[/tex]

[tex]65x+4y+21y[/tex]

(2) Combine like terms

[tex]65x+4y+21y[/tex]

[tex]65x+25y[/tex]

Solution:

[tex]A) 65x+25y[/tex]

Answer:

[tex]65x+25y[/tex]

Step-by-step explanation:

[tex](17x + 4y) + (48x + 21y)[/tex]

[tex]17x+4y+48x+21y[/tex]

[tex]17x+48x+4y+21y[/tex]

[tex]65x+4y+21y[/tex]

[tex]65x+25y[/tex]

8.
60 fifth-grade students participating in
an event. The students will be put into
groups among their own grade and into
the largest possible equal groups with no
students left over. How many students will
be in each group?
A.
2
po
B. 3
C.
6
D. 12

Answers

Answer:

c.6

Step-by-step explanation:

6 is the gcf between 42 and 60

Answer:

it'll be 6

Step-by-step explanation:

6*5 so 5 groups of 6

A company surveyed all of the employees in their Columbus, Ohio office,
one of their six national offices. Based on the survey they determined that
72% of all employees were satisfied with their job. Which of the following
explains why this is NOT a random sample?
A. They only surveyed people who had been at their job for five years or
more.
B. They did not survey employees in other offices around the country.
C. The survey was conducted electronically.
D. The survey had a time limit.

Answers

Answer:

B. They did not survey employees in other offices around the country

Step-by-step explanation:

1. A random sample is when you randomly choose options from the whole list. In this case, they make it clear that there are other offices. They didn't give a chance to the rest of the offices to take a survey.

2. Surveying "all" the employees is not what a random sample is. A random sample is supposed to help make it more distributed among the people you survey. Making all of them take it in a cluster is not random.

3. The other choices don't make sense because they don't mention anything about them: nothing about the employees working 5 years, nothing about it being conducted electronically, and nothing about a time limit.

Which of the lines is a line of symmetry for the hexagon?
A.
PQ and LM
B.
JK and NO
C.
JK only
D.
all of the lines

Answers

Answer: the answer is b which is line NO and line JK

Step-by-step explanation: one line is vertical and the other is horizontal . Both lines make the sides equivalent and equal , so they make a symmetry . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS ..

Answer:

The Correct Answer is B.JK and No.

Hope it helps you Czn.

Please Mark me as Brainleast!!!!!!

Ricky is 11 years old. Mel and Kim are both five years older than Ricky. Jaz is 29 . What is the mean of their ages?

Answers

Answer:

18 years

Step-by-step explanation:

The average of 4 ages:

(11   + 16+16    + 29 )/4

Answer:

The mean of their ages is 18.

Step-by-step explanation:

11 + 16 + 16 + 29 = 72

72 ÷ 4 = 18

The amount of money that college students spend on food each week during the academic year is normally distributed with
a mean of $31.28 and a standard devitation of $11.42.
What is the probability that one randomly selected student will spend less than $25 per week on food?
If you randomly select 10 students, what is the probability that their mean will be less than 525?

Answers

Answer:

~ 70 %

Step-by-step explanation:

(31.28 - 25)/ 11.42    means  25 is .5499  S.D. below the mean

z -score = .7088

 70.88 % chance of less than = 25 dollars

The required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a) X = 25 , μ = 31.28 and σ = 11.42

[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{11.42}\\z = -0.5499[/tex]

Using z score
Now a probability that one randomly selected student will spend less than $25 per week on food is given.
P(x<25) = p(z = -0.5499)
             = 0.2911

b) number of sample = 10
standard deviation = 11.42/√10
                                = 3.611

Herr,

[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{3.611}\\z = -1.7444[/tex]

Probability (x<25) = p(z = -1.7444)
Using the Z score table,
Probability (x <25) = 0.040

Thus, the required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.

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This is the last question I promise V3 (this is the third time I asked this question

Answers

Answer:

Step-by-step explanation:

what is it that makes this seem difficult?

90° the hands make a right angle?  correct?

30° the hands are close together

60° the hands are farther than 30 but closer than 90

150 ° the hands are farthest apart

In AFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of LF to the
nearest degree.

Answers

Answer:

  ∠F ≈ 74°

Step-by-step explanation:

The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.

__

  f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F

  cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)

  F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F

  F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)

  ∠F ≈ 74°

As part of a math lesson on probability, Mr. Keen rolled a standard die 30 times. He predicted the die would land on three 5 times. He actually rolled a three 8 times. What is the percent error for his prediction?

Answers

Using it's concept, it is found that the percent error for this prediciton is of 60%.

What is the percent error?

The percent error of an amount is the absolute value of the difference between the actual amount and the expected amount, multiplied by 100% and divided by the expected amount.

In this problem:

The expected amount was of 5 times.The actual amount was of 8 times.

Hence, the percent error is given by:

P = |8 - 5|/5 x 100% = 3/5 x 100% = 0.6 x 100% = 60%.

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Answer:

its 37.5%

Step-by-step explanation:

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A farmer sells eggs at a market. She offers three different sizes. For any size, the weight of each egg can vary up to 8%.


Calculate the missing values.


Is it possible for an egg to be both large and extra large?

Explain.

Answers

answers:

medium-41.4,48.6

large-55,59.4

extra large-62,57.04

yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large

The missing values for Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

What is percent?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given table for size and weight of eggs and  the weight of each egg can vary up to 8%.

for Medium eggs Advertised weight = 45 g

lightest weight = 45 - 8% of Advertised weight

because Advertised weight is average of lightest weight and heaviest egg weight,

lightest weight = 45 - 45(0.08)

lightest weight = 41.4 g

heaviest egg weight = 45 + 8% of Advertised weight

lightest weight = 45 + 45(0.08)

lightest weight = 48.6 g

missing values for medium egg = 41.4g and 48.6g

For Large egg

lightest weight = 50.6

Advertised weight = 50.6 + 8% of lightest weight

Advertised weight = 50.6 + 50.6(0.08)

Advertised weight = 54.9 = 55g

heaviest egg weight =  55 + 8% of Advertised weight

heaviest egg weight =  55 +55(0.08)

heaviest egg weight = 59.4g

missing values for large egg =  55g and 59.4g

For Extra large egg

heaviest egg weight = 66.96 g

Advertised weight = 66.96 - 8% of heaviest egg weight

Advertised weight = 66.96 - 66.96(0.08)

Advertised weight = 61.6 = 62 g

lightest weight = 62 - 8% of Advertised weight

lightest weight = 62 - 62(0.08)

lightest weight = 57.04 g

missing values for extra large egg is 62g and 57.04 g

Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.

Hence the missing values are,

Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

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Michelle bought 3000 shares of a stock at $24 per share. The company paid annual
dividends of $0.42 per share. What is the total annual dividend?

Answers

Answer:

$ 12.60

Step-by-step explanation:

30 shares × $ 0.42 = $ 12.60

Answer:

$1,260

Step-by-step explanation:

3000 x .42 = 1260

24-6/3*2+1 = how is this calculated

Answers

If you were calculating it straight off of how it’s written, the answer would be 13. Using PEMDAS, the answer would be 22. I’m not sure how you’re writing it out though.

The population of a city has decreased by 38% since it was last measured. If the current population is 40,300, what was the previous population.

Answers

Answer:                                                                                                                                                                                                                                                                                                                                                              

65,000

Step-by-step explanation:

100-38 is 62%

40,300 is 62% of whatever x is

40,300*100= 4,030,000

4,030,000/62=65,000

I suck at angles (why is there no subject for shapes and angles or whatever)

Answers

Answer: D. 45 degrees

Step-by-step explanation:

       A circle is equal to 360°

      360° divided in half is 180°.

     180° divided in half one more time is 90°

     A second time is 90° / 2 = 45°

        The angle created is D. 45 degrees.

Solve for x , y and z using geometric mean altitude theorem and leg theorem

Answers

Check the picture below.

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  So let's use proportions to get x,y and z.

[tex]\cfrac{x}{30}~~ = ~~\cfrac{30}{24}\implies \cfrac{x}{30}~~ = ~~\cfrac{5}{4}\implies x=\cfrac{150}{4}\implies \boxed{x=\cfrac{75}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{24}~~ = ~~\cfrac{x-24}{y}\implies \cfrac{y}{24}~~ = ~~\cfrac{\frac{75}{2}-24}{y}\implies \cfrac{y}{24}~~ = ~~\cfrac{~~ \frac{27}{2}~~}{y}\implies \cfrac{y^2}{24}=\cfrac{27}{2} \\\\\\ y^2=\cfrac{(24)(27)}{2}\implies y=\sqrt{\cfrac{(24)(27)}{2}}\implies \boxed{y=18} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z}{y}~~ = ~~\cfrac{30}{24}\implies \cfrac{z}{18}~~ = ~~\cfrac{5}{4}\implies z=\cfrac{(18)(5)}{4}\implies \boxed{z=\cfrac{45}{2}}[/tex]

The area of a rectangle is 45 square inches. The length of the rectangle is 6 inches.

What is the width of the rectangle?

Enter your answer as a mixed number in simplest form in the box.

inches

Answers

Step-by-step explanation:

the area of a rectangle is

length × width.

so, we have here

45 = 6 × width

width = 45/6 = 15/2 = 7.5 in = 7 1/2 in

Solve the system of equations. y=4x+5y=x2+12x+20

Answers

Answer:

 [tex]\begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:the\:equations}[/tex]

[tex]y=x^2+12x+20[/tex]

[tex]y-y=x^2+12x+20-\left(4x+5\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]0=x^2+8x+15[/tex]

Find the missing side or angle.
Round to the nearest tenth.
C=95°
b=6
a=5
c=[?]

Answers

No diagram is visible!

You might have to repost the question again.

Answer: For the acellus people its 8.1

Step-by-step explanation:

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