5.) $28,000 invested at a rate of 4% compounded annually
a.) Write a compound interest function to model the situation.

Answers

Answer 1

Answer:

ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this

28000(0.4)T=I

T=Time

I=interest


Related Questions

What is the sum of the interior angle measures of a polygon that has 11 sides?

HINT: Sum= (n-2)180

Answers

Answer:

Step-by-step explanation:

no of sides (n)=11

sum=(n-2)180

=(11-2)180

=9*180

=1620

therefore sum of the interior angles of a polygon having 11 sides id 1620°.

Answer:

n= 1620

Step-by-step explanation:

I know the answer is correct I got the exact same question during the lessons.

An auto repair shop charged a customer $496 to repair a car. The bill listed $96 for parts and the remainder for labor. If the cost of labor is $40 per hour, how many hours of labor did it take to repair the car?

Answers

It took 10 hours of labor to repair the car

help me plz plz!! It's due tomorrow will Mark u as BRAINLIEST

Answers

Answer: Mean(Mia)=34.33 Mean(Sophia)=35.667

Sophia's phone calls on average, are longer in length than Mia's phone calls.

Step-by-step explanation:

what is
3⋅f(−4)−3⋅g(−2)=

Answers

Answer:

[tex]3 * f(-8) - 3 * g(-2) = 6[/tex]

Step-by-step explanation:

Given

This question has a missing graph (See online)

Required

[tex]3 * f(-8) - 3 * g(-2)[/tex]

From the graph:

[tex]f(-8) = -2[/tex]

and

[tex]g(-2) = -4[/tex]

So, we have:

[tex]3 * f(-8) - 3 * g(-2) = 3 * -2 -3 * -4[/tex]

[tex]3 * f(-8) - 3 * g(-2) = 6[/tex]

What is the slope of the line represented by the equation y =4/5x-3?
A. -3
B. - 4/5
C. 4/5
D. 3

Answers

Answer:

4/5

Step-by-step explanation:

y =4/5x-3

The equation is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 4/5

Answer:

4/5

Step-by-step explanation:

The slope will be in front of the x in slope intercept form.

A collection of 39 coins consists of dimes and nickels. The total value is ​$2.75. How many dimes and how many nickels are​ there?

Answers

Answer:

23 nickels and 16 dimes

Step-by-step explanation:

16 dimes = 1.60

23 nickels = 1.15

1.60 + 1.15 = 2.75

A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?

Answers

Answer:

(a) ft/s

(b) 1ft/s

Step-by-step explanation:

Given equation;

y = (- 16x² + 50x + 3)ft       -------------(i)

Where;

y is measured in feet(ft)

x is measured in seconds(s).

(a) The rate of change of y with respect to x is found by dividing the total change in y by the total change in x. i.e

Δy / Δx

Where;

Δy = y₂ - y₁  

Δx = x₂ - x₁

∴ Δy / Δx = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]              --------------(ii)

Since y is measured in feet, Δy will also be measured in feet.

Also, since x is measured in seconds, Δx will also be measured in seconds.

Therefore, the rate of change of y with respect to x (Δy / Δx) will be measured in feet per second (ft/s)

(b) The rate of change of y between x  = 0 and x = 2 can be found by using equation (ii)

Where;

y₂ is the value of y at x = 2 found by substituting x = 2 into equation (i)

y₁ is the value of y at x = 0 found by substituting x = 0 into equation (i)

=> y₂ =  - 16(2)² + 50(2) + 3 = 39

=> y₁ =  - 16(1)² + 50(1) + 3 = 37

Now, substitute the values of y₂, y₁, x₂ and x₁  into equation (ii)

Δy / Δx = [tex]\frac{39 - 37}{2 - 0}[/tex]  

Δy / Δx = [tex]\frac{2}{2}[/tex]

Δy / Δx = 1

Therefore, the rate of change of y is 1 ft/s

 

If x=4 and y=5. The value of 3x-5y​

Answers

Answer:

13, I believe :)

Step-by-step explanation:

3(4)-5(5)

multiply by the coefficient

=12-25

=-13

Will mark brainlest
find the domain and range of following​

Answers

Answer:

Result:

{0, 3/7}

Decimal approximation:

{0, 0.428571}

Step-by-step explanation:

Find the norm...

and you know I wanna speedrun

The probalityof raining today is 30% what is the probality tha it will nat rain?

Answers

70% Because 100-30=70

The following cylinder has a height of 7.2 in. and diameter of 6.8 in.
Cylinder with measures described in text.

What is the volume of the cylinder? Remember, the diameter of a circle is two times its radius.

Use 3.14 for π and round your answer to the nearest tenth.

Answers

Answer:

598.16

Step-by-step explanation:

Eh you should have the formula if not I can't really type it but ,trust, the answer is 598.16 in²

Answer:

261.3 in.

Step-by-step explanation:

ASAP:

Consider the word pROPOSITION. How many five letter words can be formed if two letters are alike and three letters are different? Consider the cases.

Answers

Answer:

The letters M, N, A , E appear twice and G, T appear once.

So, the first case was where all the letters were different, thus, the number of words formed were:

6C5 . 5!(further permutation) = 720

the second case was where there were two groups of two alike letters and one different letter. Thus, the number of words formed were:

2C1 . 4C2 . 3! = 72

the third case was where there were one group of two alike letters and three different letters.

Thus, the number of words formed were:

4C1 . 5C3 . 4!= 960

thus, the total number of words were:

720 + 72 + 960 = 1752

but this answer is wrong as the Real answer is 1824.

Step-by-step explanation:

please help! (listing BRAINLIST and giving points) ​ :)​

Answers

Answer:

sin∅ = 12/13

Step-by-step explanation:

use pythagorean theorem to find the missing side

a² + 5² = 13²

a² = 13² - 5²

a² = 169 - 25

a² = 144

a = 12

-----------------------------

Sin∅ = opp/hyp

sin∅ = 12/13

Get brainly if right?
10 points!

Answers

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41

Suri and Carter want to start saving for the future. they each invest $4,000 into a certificate of deposit account. suri's investment earns 3% interest compounded annually. Carter's investment is 3% simple interest. ​

Answers

Two formulas:

Compound interest - A = P(1 + r/n)^nt

Simple interest = A = P(1 + rt)

A - final amount

P - initial principal balance

r - interest rate

n - number of times interest applied per time period

t - number of time periods elapsed

Suri --

A = 4,000(1+0.03/1)^5

A = $4,637.09

Carter --

A = 4,000(1+0.03*5)

A = $4,600

In 5 years, Suri makes $37.09 more than Carter

A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?

Answers

I think that it would take the daughter 1 hour

The daughter will take 6 hours to complete the housework if working alone.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A woman when working with her takes 2 hours to complete the housework and takes 3 hours when working alone.

Let's suppose y minutes taken by the daughter to complete the housework:

Rate for daughter = 1/x

1/3 + 1/x = 1/2

2x + 6 = 3x

x = 6 hours

Thus, the daughter will take 6 hours to complete the housework if working alone.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Four expressions are written in the table.

What value of n makes all of the expressions equivalent?
0

1

10

100

Answers

The correct answers is 0

you spend $40 on a meal for you and your friends. Sandwiches cost $5 and beverages cost $2 each. Write and equation in standard form where x is the number of sandwiches purchased and y is the number of beverages posted.

Answers

it would be 5(x)+2(y)=40
i think the answers is 5x+2x=10

The managers of a fast food chain want their products to be as similar as possible across locations. They suspect that the burgers at their Albuquerque branch have bigger parties than the burgers at the Santa Fe branch, so they take a sample of 7 patties from each restaurant and measure their weights in gransk
Albuquerque 11011 110 110 111 112 106
Santa Fe 107 111 110 108 109 110 109
The managers want to test if the parties in the Albuquerque branch have a higher average weight than the patties in the Santa Fe branch. Assume that all conditions for inference have been met
Which of these is the most appropriate test and alternative hypothesis?
a. Pairedt test with H>0 3
b. Pairedt test with H > 0
c. Pairedt test with Ht0
d. Two-sample t test with H. > 0

Answers

Answer:

H0 : μd = 0

H1 : μd > 0

Step-by-step explanation:

The scenario described above can be compared statistically using a paired test mean as the mean if the two groups are dependent, the two restaurants, Albuquerque and Santa Fe are both restaurant locations of a single restaurant company. Hence, to test the mean difference, we use the paired test statistic. Defined thus `

Null hypothesis ; H0 : μd = 0 and the Alternative hypothesis ; H1 : μd > 0

Answer:

Two Sample T test with Ha = Albernuque>Santa Fe

Step-by-step explanation:

Khan

HELPPPP I need help with this question!!!!

Answers

I think the 4th one but Im not too sure please forgive me if I'm wrong.

can someone answer this i’ll give u a cookie PLEASE I NEED IT NOW

Answers

Answer:

its c

Step-by-step explanation:

A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.

Answers

Answer:  Approximately 56 inches

===========================================================

Explanation:

The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.

We'll use the tangent rule to connect the opposite and adjacent sides.

tan(angle) = opposite/adjacent

tan(13) = 13/x

x*tan(13) = 13

x = 13/tan(13)

x = 56.309186365694

x = 56 inches is the approximate horizontal distance underneath the ramp

The base of the ramp is 57 inches long.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The tangent function relates the opposite side (height) and adjacent side (base) of a right triangle to the angle of elevation.

We know the opposite side is the height of the ramp, which is 13 inches, and the angle of elevation is 13 degrees.

Let the adjacent side (the base of the ramp) be "x".

The tangent of 13 degrees is equal to the opposite side divided by the adjacent side:

tan(13) = 13/x

To solve for x, we can multiply both sides by x:

x × tan(13) = 13

Then, we can divide both sides by tan(13):

x = 13 / tan(13)

x = 13 / 0.228

x= 56.99

Therefore, the base of the ramp is 57 inches long.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error. ($30.65)(0.60) = $18.39

*Please give an explanation longer than 1 sentence :,)

Answers

Answer:

Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.

Which statement correctly identifies the line of reflection?


The triangles are reflected across the x-axis.
The triangles are reflected across the y-axis.
The triangles are reflected across the line y = x.
The triangles are reflected across the line y = –x.

Answers

The last on in the bottom

HELP PLEASE!!!!

By which rule are these triangles congruent?

A) AAS

B) ASA

C) SAS

D) SSS

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles contains two angles which indicate that it can only be the top 2 options.

Solve the homogeneous linear system corresponding to the given coefficient matrix.

[1 0 0 1]
[0 0 1 0]
[0 0 0 0]

(x1, x2, x3, x4) =________

Answers

This question is incomplete, the complete question is;

Solve the homogeneous linear system corresponding to the given coefficient matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and x2 = s and solve for x1 and x3 in terms of t and s.)

[1 0 0 1]

[0 0 1 0]

[0 0 0 0]

(x1, x2, x3, x4) =________

Answer:

the solution for the given system is; ( x₁, x₂, x₃, x₄ ) = ( -t, s, 0, t )

Step-by-step explanation:

Given the data in the question;

coefficient matrix

[tex]\left[\begin{array}{cccc} 1&0&0&1 \\ 0&0&1&0 \\ 0&0&0&0 \end{array}\right][/tex]

Now, from linear system;

[tex]\left[\begin{array}{cccc} 1&0&0&1 \\ 0&0&1&0 \\ 0&0&0&0 \end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\x_3\\x_4\end{array}\right] = \left[\begin{array}{ccc}0\\0\\0\\0\end{array}\right][/tex]

So, with the matrix, the associated equation is;

x₁ + x₄ = 0, x₃ = 0

Number of variables is 4 and ranked of the matrix is 2,

Hence, there are infinite solutions,

There are also two free variables;

from the question,

Let x₄ = t and x₂ = s be the free variables

so

x₁ + x₄ = 0

x₁ + t = 0

x₁ = -t

Therefore, the solution for the given system is;

( x₁, x₂, x₃, x₄ ) = ( -t, s, 0, t )

y = 3 sine (one-third x)

Answers

Use the form
a
sin
(
b
x

c
)
+
d
a
sin
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
3
a
=
3
b
=
1
3
b
=
1
3
c
=
0
c
=
0
d
=
0
d
=
0
Find the amplitude
|
a
|
|
a
|
.
Amplitude:
3
3
Find the period using the formula
2
π
|
b
|
2
π
|
b
|
.
Tap for more steps...
Period:
6
π
6
π
Find the phase shift using the formula
c
b
c
b
.
Tap for more steps...
Phase Shift:
0
0
Find the vertical shift
d
d
.
Vertical Shift:
0
0
List the properties of the trigonometric function.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
Select a few points to graph.
Tap for more steps...
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0

y
=
3
s
i
n
(
1
3
x
)
y
=
3

(
1
3
x
)


Answer:

B on edge

Step-by-step explanation:

Choose the solution set represented by the following graph.





{x | x R, x ≤ -2}
{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x ≥ -2}

Answers

Answer:

{x|x rx>-2}

Step-by-step explanation:

hope helpful answer

Suppose annual salaries for sales associates from Geoff's Computer Shack have a mean of $32,500 and a standard deviation of $2,500.
a. Calculate and interpret the z-score for a sales associate who makes $36,000.
b. Suppose that the distribution of annual salaries for sales associates at this store is bell-shaped. Use the empirical rule to calculate the percentage of sales associates with salaries between $27,500 and $37,500.
c. Use the empirical rule to determine the percentage of sales associates with salaries less than $27,500.
d. Still suppose that the distribution of annual salaries for sales associates at this store is bell-shaped. A sales associate makes $42,000. Should this salary be considered an outlier? Explain.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = $32500, standard deviation (σ) = $2500.

a) The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For x < 36000:

[tex]z=\frac{36000-32500}{2500}=1.4[/tex]

From the normal distribution table, P(x < 36000) = P(z < 1.4) = 0.9192 = 91.92%

b) One standard deviation of mean = μ ± σ = (32500 ± 2500) = (30000, 35000)

Two standard deviation of mean = μ ± 2σ = (32500 ± 2*2500) = (27500, 37500)

Empirical rule states that 68% of data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within one standard deviation from the mean.

Hence 95% of salaries is between $27,500 and $37,500.

c) 95% of salaries is between $27,500 and $37,500.

P(x < 27500) = (100% - 95%) / 2 = 2.5%

d) If the z score is less than -3 or greater than 3, it is considered an outlier.

For x < 42000:

[tex]z=\frac{42000-32500}{2500}=3.8[/tex]

Hence $42000 is an outlier

Find the final total value of a 5-year investment of $2600 at a simple annual rate of
3.53%

Answers

Answer:

A = $3,101.09

A = P + I where

P (principal) = $2,600.00

I (interest) = $501.09

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.53/100

r = 0.0353 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 2,600.00(1 + 0.0353/12)(12)(5)

A = 2,600.00(1 + 0.002941667)(60)

A = $3,101.09

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,600.00 at a rate of 3.53% per year compounded 12 times per year over 5 years is $3,101.09.

Other Questions
Do only number 4 and thank 2. A set of data consists of the number of years that applicants for foreign servicejobs have studied German and the grades that they received on a proficiency test.The following regression equation is obtained: = 31.6 + 10.9x, where x representsthe number of years of study and y represents the grade on the test.a. Identify the predictor and response variables.b. Interpret the regression equation by interpreting the y-intercept and slope. find the missing angle measures by examining the angle relationships firstmmm what is the capital of samoa? can someone answer for me plsx^2 + 10x + 24 ? if 6 = 68 degrees, find the measures of angles 4, 5 ,7 HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE According to the media report how have the commited collusion PLEASE ANSWER SOONIn at least one hundred and fifty words, identify two central ideas in David Lance Goiness "Let Sleeping Dogs Lie," and explain how Goines uses the satirical form to express these central ideas. . Which of the following is NOT a legal duty of an American citizen?A)Get an education.b)Vote in all elections.c)Pay taxes.D)Serve on juries What is the quotient of StartFraction 2 Superscript 4 Baseline Over 2 Superscript negative 4 Baseline EndFraction? the term given to the individuals against slavery's expansion is HURRY PLEASE IM ON A TIME LIMIT XXXThe League of Nations was a __________.a.group of countries that developed modern military methodsb.peacekeeping organization formed after World War Ic.group of baseball teams that toured the world as goodwill ambassadorsd.undersea exploration organization with twenty thousand members Which expression give the best estimate of 45 percent of 76 If a sample of air initially occupies 240L at 2 atm how much pressure is required to compress it to 20L at constant temperature Is this sentence correct?::He is the better of two boys. Were the asnwers are During a sale, a store offered a 15% discount on a couch that originally soldfor $800. After the sale, the discounted price of the couch was marked up by15%. What was the price of the couch after the markup? Round to the nearestcent. what is the importance of the the effective communication in our society 1.4 Which one of the following does not fit in with the rest?A a layer of oil on waterB cream on milkC water on top of the syrup in a cooldrink mixtureD a plank floating on water