$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest

Answers

Answer 1

Answer:

a. $532.25 b. $1247.40

Step-by-step explanation:

a. A=P(1+rt)

500(1+0.043*1.5)

b.A=P(1+r/n)^nt

500(1+0.043/1.5)^18*1.5

(not 100% sure on compound interest though, sorry )


Related Questions

1/3 times 1/2 times 1/4

Answers

Answer:

1/3 x 1/2 x 1/4 = 1/24

Step-by-step explanation:

the answer is 1/24, because you multiple both the numerator and denominator of all the fractions. 1/3 x 1/2 = 1/6, then you multiply 1/6 by 1/4 and you get 1/24.

Help me please help ASAP help me ASAP please please help ASAP

Answers

Answer:

P = 10π + 30 ≈ 61.4

Step-by-step explanation:

Perimeter = s1 + s2 + s3 + s4

= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4

Pls help I'll give brainlest

Answers

Answer:

6

Step-by-step explanation:

a=V⅓=216⅓=6

hope this helped

Answer:

the answer is 6 because on each side there is 36 cubic units meaning you need to multiply 6 by what ever number untill you get to 36 and 6*6=36

Step-by-step explanation:

UwU

(PLEASE HELP ME!)
Solve for n 2n ^ 2 = 10n + 48 O A - 4or - 6 OB . 4016 O. 3or - 8 OD- 3 or 8 O E - 3or - 8​

Answers

Answer:

Option D

Step-by-step explanation :

Minus 10n and 48 from both sides

2n² - 10n - 48 = 0

→ Divide everything by 2

n² - 5n - 24 = 0

→ Factorise

( n + 3 ) ( n - 8 )

Answer:

D

Step-by-step explanation:

2n²-10n-48=0

n²-5n-24=0

(n-8)(n+3)

n-8=0

n=8

n+3=0

n=-3

A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?

Answers

Answer:

Ha: μ < 24

The test statistic is z = -1.75.

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Step-by-step explanation:

A recent survey reported that small businesses spend 24 hours a week marketing their business.

This means that the null hypothesis is:

[tex]H_0: \mu = 24[/tex]

A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.

This means that the alternate hypothesis is:

[tex]H_a: \mu < 24[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

24 is tested at the null hypothesis:

This means that [tex]\mu = 24[/tex]

The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.

This means that [tex]n = 93, X = 23[/tex]

The population standard deviation is 5.5 hours

This means that [tex]\sigma = 5.5[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]

[tex]z = -1.75[/tex]

The test statistic is z = -1.75.

Do we reject the null hypothesis? Is there sufficient or insufficient evidence?

The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.

Looking at the z table, z = -1.75 has a pvalue of 0.0401

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Helppppppppppppppppppppppp

Answers

Answer:

32

Step-by-step explanation:

Answer:

113.04 yd³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {3}^{3} [/tex]

[tex] = \frac{339.12}{3} [/tex]

= 113.04 yd³

Help plssssssssssszzzzzssz

Answers

The radius is half the diameter so 16/2 = 8

4/3 X 3.14 X 8 = 267.9466667

Rounded to 267.95

FINAL ANSWER: 267.95

Answer:

2143.57 in³

Step-by-step explanation:

The formula of volume of sphere

[tex]= \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex]= \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3}[/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.57333...[/tex]

= 2143.57 in³ (rounded to the nearest hundredth)

Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of
money she has after 20 years?

Answers

Answer:

$900

Step-by-step explanation:

The formula for simple interest is I = PRT where I is the interest earned, P is the principal/amount deposited or borrowed, R = rate as a decimal, and T = time in years

I = PRT

I = (500)(0.04)(20)

I = 400

Add the interest to the principal, and she will have $900 in 20 years.

Please let me know if you have questions about this.

please help, ill give brainliest

Answers

Answer:

hope this help you......

What is the answer???

Answers

This is the area, good luck

In a unit circle, 0 = 37 radians. What is the terminal point?
A. (0, -1)
B. (-1,0)
C. (1,0)
D. (0.1)

Answers

Answer:

A

Step-by-step explanation:

[tex] \frac{3\pi}{2} = 270[/tex]

On the unit circle, 270 is located between the third and fourth quadrant.

Sin(-90)=-1

Using the peridoicy formula, sin 270=-1. Whenever Sin is 1 or -1, cos is 0. Sin referred as the y value. Cosine is referred as x value so A is the answer.

The terminal point of the given unit circle is (0.6235, 0.7818).

We have,

To find the terminal point of an angle in a unit circle, we need to use the trigonometric ratios of sine and cosine.

The angle Ф = 3π/7 radians is in standard position,

which means its initial side coincides with the positive x-axis.

The sine of theta is given by the y-coordinate of the terminal point, and the cosine of theta is given by the x-coordinate of the terminal point.

sin(theta) = sin(3π/7) ≈ 0.7818

cos(theta) = cos(3π/7) ≈ 0.6235

The terminal point of the angle theta is (cos(theta), sin(theta)):

Terminal point = (0.6235, 0.7818)

Therefore,

The terminal point of the given unit circle is (0.6235, 0.7818).

Learn more about terminal point of a circle here:

https://brainly.com/question/28973006

#SPJ7

The management of a major diary wanted to determine the average ounces of milk consumed per resident in the state of Texas. Past data indicated that the standard deviation in milk consumption per capita across the U.S. population was 4 ounces. A 95% confidence level is required and the margin of error is not to exceed /- 0.5 ounces. Management wanted to double the level of precision and increase the level of confidence to 99%.

Required:
What sample size would you recommend?

Answers

Answer:

The recommended sample size is 1,698

Step-by-step explanation:

The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces

The required confidence level = 95%

The margin of error, e = ± 0.5

When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25

The standard score at 99% confidence level, z = 2.576

The sample size formula is given as follows;

[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]

Where;

P × Q = The variance = σ²

∴ P × Q = 4² = 16

The sample size becomes;

S = 2.576² × 16/(0.25²) = 1,698.758656

We round down to get the recommended sample size, S = 1,698

For which situation could flipping a coin be used to generate a random sample

A: To predict if a machine will be defective or not. B: To predict student performance on an exam. C: To predict the number of peanuts in a container. D: to predict which of four players will win a gold tournament.

I put A but Im not sure.

Answers

Answer: B

because its 50/50 chance you'll have heads or tails

The ratio of health club members who use trainers to those who do not
is 2:7. There are 306 members who use trainers. How many members
does the club have?

Answers

Answers

1377

explanation

2:7=9

2=306

9 =?

9×306 = 2754

2 2

=1377 members

what is the equation for g, which is f(x)=2x+3x-1 reflected across the y-axis

Answers

Let’s goooooooooooooooooooooooo

The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time for a container of the wheels during production is 0.25 day; average processing time is 0.15 day per container. Each container holds 200 wheels. The company uses 2,000 wheels a day in the production of its products. Use the information in Case 6.1. Using a policy variable of 5%, calculate the number of Kanban containers needed for the wheels.

Answers

Answer:

[tex]N_c \approx 5.0[/tex]

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production [tex]T_w=0.25day[/tex]

Average processing time is [tex]T_a=0.15 day per container[/tex]

Wheel per container [tex]N_w=200[/tex]

Total wheel per day [tex]D=2000[/tex]

Policy variable of [tex]X=5%[/tex]  

Generally the equation for Total number of container [tex]N_c[/tex] is mathematically given by

[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]

Where

Total time [tex]T=T_w+T_a[/tex]

[tex]T=0.15+0.25[/tex]

Therefore

[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]

[tex]N_c=2000*0.40(\frac{1+0.5}{200} )[/tex]

[tex]N_c=(\frac{840}{200} )[/tex]

[tex]N_c=4.2[/tex]

[tex]N_c \approx 5.0[/tex]

Therefore the number of Kanban containers needed for the wheels is

[tex]N_c \approx 5.0[/tex]

ANSWER......................

-2x+8x 4>−8

Answers

Answer:

x= 3/2 after u like simplify

Step-by-step explanation:

1 Add 44 to both sides.

8x=8+4

8x=8+4

2 Simplify  8+48+4  to  1212.

8x=12

8x=12

3 Divide both sides by 88.

x=\frac{12}{8}

x=

8

12

4 Simplify  \frac{12}{8}

8

12

  to  \frac{3}{2}

2

3

.

x=\frac{3}{2}

x=

2

3

which sign makes the statement true? |6|? -8 greater than less than or equal to?​

Answers

Answer:

|6| > -8

Step-by-step explanation:

The absolute value of |6| is 6. Because positives are greater than negatives, 6 is greater than -8.

Answer: greater than

Step-by-step explanation: Absolute value shows a number's distance from zero on a number line. 6's distance from 0 is still 6. 6 is greater than -8, therefore l6l>-8

MATHEMATICS
PLANE if it is a plane figure and write SOLID if it is a solid
1. shoebox
2. tiles 3.ball
4.wheel 5.playing card 6.wall sticker 7.basket ball court 8.kite 9.dringking glass 10.tv screenshot

Answers

Answer:

P=plane

S=solid

1.s

2.p

3.s

4.s

5.p

6.p

7.s

8.p

9.s

10.p

If you are helped with my answer pls tag me brianliest

THANK YOU...

Which of the following statements is false?
A
Credit cards let you spend unlimited money.
B.
Credit cards have minimum monthly payments.
с
Credit cards give you the chance to build good credit.
D
Credit cards let you spend money that you don't have.

Answers

Answer:

A: Credit Cards let you spend unlimited amount of money.

Please please help me!

Answers

Answer:

x=19.2

Step-by-step explanation:

sin(28)=9/x

x=9/sin(28)

x=19.2

A.
1.2° N of E
B.
1.2° S of E
C.
66.8° N of E
D.
66.8° S of E

Answers

Answer:

c

Step-by-step explanation:

Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=

Answers

Answer:

(0.2, 3.2)

Step-by-step explanation:

line A, in red, has equation          y=x+3   times 3    3y=3x+9

line B, in blue, has equation 2x+ 3y = 10

                                             -3x + 3y = 9      subtract thes two equations      

                                         (2x - -3x) + (3y -3y) = 10 - 9

                                                  5x + 0y  = 1

                                                         5x  =  1  

                                                           x = 1/5    or  0.2

                                                y = x + 3

                                                y = 0.2 + 3

                                                y = 3.2

what are all the solutions for the equation 5x^2-2x+16=4x^2+6x

Answers

Answer:

x=4 is a solution

PLS HELP!!!The mayor wants to know if her city's residents will support a tax increase to build a new library.
Which method of sampling would produce the least biased results?

Answers

The answer is D. Ask every 20th person listed as a resident of the city

HELP PLEASE ILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

50%
- Animals
Home
Economics -
20%
30%
- Farm Mechanics
There were 2500 entries at the county fair. The circle graph tells what types of entries were made.
How many were Farm Mechanics entries?

Answers

180 is the answer pls don’t get mad if i get it wrong

Answer:

750 were Farm Mechanics.

Step-by-step explanation:

30% of 2500 is 750.

Hope this helps

pls help Graph the rectangle after a 90° clockwise rotation about the origin.

Answers

Answer:

can you post the graph so I can answer to the best o my ability

what is this y=
[tex] \frac{3}{2}x+3 [/tex]
the y=-3​

Answers

Answer:

X=-4

Step-by-step explanation:

If you are finding x,

set these two functions equal to each other

3/2x+3=-3

3/2x=-6

x=-4

3x/2 = -6
X = -4 is the answer

A bowl has 2 gold marbles, 3 blue marbles and 5 white marbles. A marble is randomly selected and then placed back in the bowl. You do this 5 times. What is the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles?

Answers

Answer:

2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white

Step-by-step explanation:

2+3+5=10

since you do this 5 times and get 5 marbles it can be:

2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white

The probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5

Probability is the likelihood or chance that an event will occur.

If there are 2 gold marbles, 3 blue marbles and 5 white marble in the bowl, the total number of marbles will be 10 marbles.

Pr(1 gold marble) = 2/10 = 1/5

Pr(1 blue marble) = 3/10

Pr(3 white marble) = [tex]\frac{3}{5C_3} = \frac{3}{10}[/tex]

Add all the probability;

Pr(hoosing 1 gold marble, 1 blue marble and 3 white marbles) = 1/5 +3/10 + 3/10 = 8/10 = 2/5

Hence the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5

Learn more here: https://brainly.com/question/13604758

Need help asap!!!
Solve for the horizontal distance

Answers

Answer:

Step-by-step explanation:

Me nah know meh sorry bai/gyall
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