7) Mofor invests $3,101 in a savings account

with a fixed annual interest rate

compounded 2 times per year. After 6

years, the balance reaches $3. 932. 82.

What is the interest rate of the account?

Answers

Answer 1

Answer:

4%

Step-by-step explanation:

[tex]A = P(1+r/n)^{nt}[/tex]

A = final amount

P = initial amount

r = interest rate per time period

n = number of times compounded per time period

t = number of time period

A = 3932.82

r = what we want to find

n = 2

t = 6

[tex]A = P(1+r/n)^{nt}\\3932.82 = 3101(1+r/2)^{12}[/tex]

divide both sides by 3101 to isolate the exponent and its parts

[tex]3932.82/3101 = (1+r/2)^{12}[/tex]

put both sides to the power of (1/12) to help isolate the variable

[tex](3932.82/3101)^{1/12}= (1+r/2)[/tex]

subtract 1 from both sides to isolate the variable and its coefficient

[tex](3932.82/3101)^{1/12}-1= (r/2)[/tex]

multiply both sides by 2 to get r

[tex]((3932.82/3101)^{1/12}-1) * 2= r[/tex]

r ≈ 0.04 = 4%


Related Questions

Which graph represents the solution to the system of inequalities?


StartLayout Enlarged left-brace first row x squared + 4 y squared less-than 64 second row y greater-than 3 Superscript x EndLayout


Answer is D

Edge 2022

Answers

The answer is D :) YW!

What 2 numbers multiply to get 35 and add up to get -12?

Answers

Answer:

-7 and -5

Step-by-step explanation:

Because Im smart not gonna lie.

Ben bowled 160 and 191 in his first two games. What must he bowl in his third game to have an average of at least 190?​

Answers

I don’t understand the question

prove that
{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)

Answers

First, expand the terms inside the bracket you will get

[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]

[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

Two major cities each have a population of
25,000 people. The population of City A
increases by about 150 people per year. The
population of City B increases by about 0.5%
per year.
Insert table from SPREADSHEET here, showing the first 5 years of population growth for both
cities.
Will City B ever have a larger population than City A? If so, what year will this occur?
Answer:
...insert the DESMOS graph that supports your answer here...

Answers

Realistically would be 20.

You roll a die 60 times how many times do you expect to roll a factor of 12

Answers

Answer:

Just for fun, the probability of rolling a die 60 times and getting no ones is

(600)(5/6)60=0.0018% .

Step-by-step explanation:

This 10 ones is the value with the highest probability of occurring. It has a probability of  (6010)(1/6)10∗(5/6)50≈13.7% .

5.
Find the volume, of a cone with a radius of 3 yards and a height of 11 yards.

Answers

ANSWER: Solve for volume

V≈79.26m³

please help me out on this question

Answers

Answer:

the train won't always go the same distance each minute and for the second one its 4 minutes

if emily eats 18 cookies, which represents 30% of the bag, how many cookies are in the bag

Answers

Answer:60

Step-by-step explanation:

18 x 100= 1800. 1800/30= 60. 60 x %30= 18

The number of cookies in the bag is A = 60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Now , 30 % of the cookies in the bag = 18 cookies

On simplifying the equation , we get

( 30 / 100 )A = 18

Multiply by 100 on both sides , we get

30A = 1800

Divide by 30 on both sides , we get

A = 1800/30

A = 60 cookies

Hence , the number of cookies is 60

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What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20

Answers

I’m pretty sure it’s D

Assuming that the availability of cherries and the availability of asparagus are independent of each other, which market should Elena choose to maximize her chance of buying both?

Answers

Answer:

north market, .44

Step-by-step explanation:

find the volume of the prism

Answers

Answer:336 cubic inches

Step-by-step explanation:
Formula: L•w•h
14•4•6=336

Which expressions are equivalent to 42-5? Choose all the correct answers. Show your work in arriving at your answers.

Answers

Answer:

B, C, E

Step-by-step explanation:

Exponent Rules

[tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]a^n \cdot b^n=(ab)^n[/tex]

[tex]a^0=1[/tex]

[tex]\dfrac{1}{a^b}=a^{-b}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]

[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]

[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]

[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]

[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]

[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]

Check one by one

#A

[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]

#B

[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]

#C

[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]

#d

[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]

#e

[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]

#f

[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]

[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]

[tex]\\ \rm\Rrightarrow 42^5[/tex]

HELP PLSS
Select all of the expressions that are equivalent to 7c.
A c + 3(c + c)
B 2(c + c) +c
C 3c + 4c + c
D 2c + 4c + c
E c (2c + 2c)

Answers

Answer:

D 2c + 4c + c

Step-by-step explanation:

Collect Coefficients of like terms

[tex](2+4+1)\times c[/tex]

__________________________________________________

Calculate the sum or difference

[tex]7c[/tex]

__________________________________________________

Determine true/false

[tex]Determine\ whether\ 7c\ and\ 2c+4c+c\ are equivalent:[/tex]

[tex]True[/tex]

I hope this helps you

:)

.Answer:
Choices A and D =7c
Explanation:
I’ve attached my work..

Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.

StartFraction log one-fourth Over log 12 EndFraction

Which expression could be Tyler’s original expression?
Log Subscript one-fourth Baseline 12
Log Subscript 12 Baseline One-fourth
12 Log one-fourth
One-fourth log 12

Answers

Answer:

[tex]log_{12}(\frac{1}{4})[/tex]

Step-by-step explanation:

We start with our equation that the change of base formula was applied to:

[tex]\frac{log\frac{1}{4} }{log12}[/tex]

The change of base formula describes taking the base (b) of the logarithm and setting it as the denominator while taking the remaining number (a) and setting that as the numerator.

If we reverse the formula, we end up with the supplied answer.  

[tex]log_{12}(\frac{1}{4})[/tex]

Answer:

Other guy is correct

Step-by-step explanation:

I need help with 19

Answers

Answer: 5/26

Step-by-step explanation:Hope this is helpful

5/26 is the answer i think

Please help! Question is below!

Answers

Answer:

28.3 ft²

Step-by-step explanation:

Area = πr²

A = π × 3²

A = 28.2743339 = 28.3 ft²

Balance the nuclear reaction equation for the beta minus decay of iodine-131 by completing the missing numbers. superscript 131 subscript 53 upper i right arrow superscript question mark subscript 54 upper x e plus superscript 0 subscript question mark e. the superscript of xenon is . the subscript of the electron is .

Answers

Beta minus decay has to do with the loss of an electron.  The superscript on the daughter nucleus is 131 while the subscript  is 54;

What is a beta minus decay?

The term beta minus decay has to do with the loss of an electron. The daughter nucleus so formed is always going to have an atomic number that is greater than that of the parent by 1 unit.

The complete nuclear reaction here is; [tex]\frac{131}{53} I ------- > \frac{131}{54} Xe + \frac{0}{-1} e[/tex] . The  daughter nucleus here is Xe while the parent nucleus is I.

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Answer:

The superscript of xenon is 131

The subscript of the electron is -1

Step-by-step explanation:

Which equation translates the sentence, "Three times the number m plus ten is equal to n"?
A. 3m + 10 = n
B. 3(10) + m = n
C. 3 + 10m = n
D. 3 x 10(m) = n

Answers

Answer is A 3m+10=n

Hope this helps:):)

please help its late and I need to finish this. there are more if you can solve this

Answers

Answer:

Plow - is used for tilling largefurrows and inter row cultivation. WhTractor - Used to pull disc plow and disc harrow in preparing much bigger area of land Down is used for cleaning the ground and leveling the topsoil Barrow - is used for hauling trash, manures, fertilizers, plant

6.
Viola drives 170 m up a hill that makes an angle of 6° with the horizontal. Rounded to the nearest tenth of a meter, what horizontal distance has she covered?

169.1 m

17.8 m

1,617.4 m

171.5 m

Answers

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

Additional comment

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

Bella is building two wigwams for a school project on american indian tribes. she first builds two wooden frames, each in the shape of a cone with a base radius of 2 feet and a slant height of 5 feet. if bella wants to cover the frames in fabric, how many square feet of fabric will she need? (use 3.14 for pi and round to the nearest whole number. recall the formulas l a = pi r l and s a = pi r l pi r squared.) square inches

Answers

The amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 88 ft².

What is the surface Area of a Cone?

Surface area of a cone = πr² + πrl

Given the following dimensions of the cone-shaped wooden frame:

Slant height (l) = 5 feetRadius (r) = 2 feet

Amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 2(πr² + πrl)

= 2(3.14 × 2² + 3.14 × 2 × 5)

= 87.92

Amount of fabric needed ≈ 88 ft²

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Answer:

88

Step-by-step explanation:

I need help with this and how to solve it

Answers

60 plus 75 equals 135. 180 (sum of angles in a triangle) minus 135 is 45 degrees which matches size in picture.
Other angle 180-45 which is 135.

Find the measure of arc FD

Answers

Answer: 49 degrees

Step-by-step explanation:

Given that 2x + 1 : x + 2 = x+8 : 3x-4
Find the possible values of x.

Answers

Answer:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Step-by-step explanation:

It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.

How to find the system of equations needed to solve an equation?

An equation usually consists of equality of two mathematical expressions. Let it be

A = B

. If we take them to be equal to third variable, then:

A = B = C

type of equation is obtained.

We can then take it as a system of two equations as:

A = C\\ B=C

The solution to this system will give us the solution to the considered equation.

The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

Given that 2x + 1 : x + 2 = x+8 : 3x-4

First we have to same the bases.

As we know [tex]8=2^3.[/tex]

[tex]2^{3x}=2^{3(2x+1)}.[/tex]

Now 3x=3(2x+1) distribute 3 by the Barker.

[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]

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What is the surface area of the cube below?

Answers

Answer:

I dont see a cube but...

Step-by-step explanation:

A cube has 6 faces. The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.

A=6a2

Find the value of x. Assume that lines which appear to be tangent to the circle are tangent. A) 1 B) 3 C) 4 D) 6

Answers

Answer: D

Step-by-step explanation:

What is the perimeter of parallelogram ABCD?

Answers

Answer:

18 cm

Step-by-step explanation:

4+5+4+5=18

or

2(a+b)

2(4+5)

2(9)

18

Linda bought 2 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?

Answers

1/4 of a pint of additive per can of paint

Find the probability. Round your answer to the nearest hundredth (two
decimal places)
A bag contains 3 red chips, 4 blue chips, 5 yellow chips, and 3 green chips.
You randomly choose a chip, and without replacing it, you randomly
choose another chip. Find the probability that you choose a yellow chip
on your first pick and a blue chip on your second pick.

Answers

Answer: yellow is 5/15 = 1/3

Blue chip is 4/14 = 2/7

1/3 × 2/7 = 2/ 21

Answer0.095 = 0.10

Step-by-step explanation:

Other Questions
Graph the function y=2(3)^ using at least 3 points for each curve. Unit TestActive12131415161718balan Samantha's age is 3 years more than half her uncle's age. If her uncle's age is z years, which of the following expressions best shows Samantha's age? Please help .!!!!!!!!! Pls help i need this so I can pass A right triangle has one angle that measures 48. What is the measure of the other acute angle? What is the value of 4(x2)(x3)+7(x2)(x5)6(x3)(x5) when x=5? Type the answer in the box below. A triangle has sides with lengths of 13ft, 82ft, and 83ft. Is it a right triangle need help with this asap The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{. How tall is the tree if the point on the ground is 49 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary Which sociological perspective sees the solution to social problems as replacing the current society with a more equitable one by incorporating marginalized groups in redefining power structures Can someone see if my answers are correct! Sorry i keep asking questions lol, im just really struggling with math and my teacher wont answer my emails! And my mom doesn't understand any of this even though she's good at math! :( Would a precipitate form if a solution of calcium acetate were mixed with a solution of sodium phosphate help help meeeeeee dont understAND THE PARAGRAGH!!!Everyone has heard the adage "Laughter is the best medicine." Researchers are finding that writing about ones feelings can be effective medicine, too. People have been recording their feelings in diaries for centuries. Recent studies, though, suggest that such writing not only improves a persons mood; it can also have a significant influence on their physical condition. Therefore, physicians should incorporate patient journaling as part of their treatment for any complaint or disease.It is true that not all people benefit from diary-writing. Studies are still exploring how individual differences influence the health-related effectiveness of writing. It is also true that not all writing benefits a person's health. For example, it's not enough to simply write, "I feel bad" or "I hurt." To gain any health benefit, the writing must be expressive. In other words, a person must explore their feelings instead of only stating them. They must write sentences that begin along the lines of "I feel sad because..." This is the type of writing, often called journaling, that can improve one's health.One way journaling improves health is by reducing stress and anxiety. Brain science has determined that each side of the human brain has different strengths. The left brain is rational and analytical. The right brain functions as a creative and emotional center. Journaling about stressful or anxious situations accesses the right brain. Doing so enables a person to clarify feelings and solve problems. Consistent journaling also helps the writer discover patterns of thought and behavior. According to Richard Petty, a professor of psychology at Ohio State University, "However you tag your thoughtsas trash or as worthy of protectionseems to make a difference in how you use those thoughts." Expressive writing can help not only identify but also change the way a person tags their thoughts. A 2011 study conducted in Spain, for example, found that writing helped teens get rid of negative thoughts. In the study, teens wrote down their negative thoughts about their bodies. This cleared the thoughts from their minds. Then they threw away what they wrote. As a result, the teens felt less stress and anxiety about their appearances.Research suggests that journaling can also improve a person's physical well-being. It has proven to be particularly beneficial to people who have chronic diseases, such as asthma and rheumatoid arthritis. Rheumatoid arthritis is a disease characterized by swelling in the joints. In one study, psychologists at the University of Texas at Austin asked patients to write expressively for twenty minutes a day for three consecutive days. In a medical check-up four months later, those patients had fewer and less severe symptoms. The control group, which had the same disease but did not write expressively, did not show such improvement.In addition to reducing symptoms of existing diseases, expressive writing can also strengthen the body's ability to fight off disease. A person's immune system is responsible for fighting off viruses and other causes of illness. Doctors in New Zealand found that journaling strengthened immune function in patients with immune system disease. Another study linked journaling to a stronger response to a vaccine for a type of blood disease called Hepatitis B. The stronger response means the body will be more effective in fighting off the illness.Journaling, therefore, can improve one's physical and emotional health. Further research is necessary to solidify how and why expressive writing has such an impact. Nevertheless, it is an option that all medical professionals should consider. Although journaling is not a replacement for traditional treatment methods such as therapy and medication, it is a supplemental tool to improve the effects of that treatment. It is not out of the question, then, to imagine a day when doctors might instruct a patient to "write two paragraphs and call me in the morning."QUESTION!!!Read the sentence below, which states the claim of the argument.Therefore, physicians should incorporate patient journaling as part of their treatment for any complaint or disease.Which of the following sentences is evidence that the author uses to support the claim?A It is also true that not all writing benefits a person's health.B Journaling about stressful or anxious situations accesses the right brain.C In addition to reducing symptoms of existing diseases, expressive writing can also strengthen the body's ability to fight off disease.D Another study linked journaling to a stronger response to a vaccine for a type of blood disease called Hepatitis B. ANSWER ASAP: In a population of 250 foxes, 18 die on a particular day and 32 were born on that day. a.What is the per capita death rate for the day? Round to the nearest hundredth. b.What is the per capita birth rate for the day? Round to the nearest thousandth. c.What is the per capita rate of increase for the day? Round to the nearest thousandth x^2 - 72 = 6xhow to complete the square? What is the slope of the line shown? a student is running a 3k race he runs 1 km race every 2 minutes select the function that describes his distance from the finish line Science 6th gradeA type of landfill designed to hold municipal solid waste safely is_______________________________________