Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly. Write function for the amount, that will be in the account after t years. What is the valve of the account after 8 years? A(t) = ________________ after 8 years, the value in the account is ________.

Answers

Answer 1

start by writing an expression in the form

\(A=p\cdot(1+\frac{r}{n})^{n\cdot t}\)

the p is the principal which is equivalent to the invesment, the r is the interest rate and the n will be equivalent to the number of periods that will be compounded which in this case will be the 12 months

\(A=5,280\cdot(1+\frac{0.042}{12})^{12t}\)

now to find the amount on the account after 8 years, replace t as an 8

\(A=7384.18\)


Related Questions

Use the properties of exponents to simplify the expression.
(y3/2 x -1/2)^4

Use the properties of exponents to simplify the expression. (y3/2 x -1/2)^4

Answers

The properties of exponents used to simplify the expression are:

(a^m)^n = a^(m*n)

(a^m)^n = (a^n)^m

(a*b)^n = a^n * b^n

(a/b)^n = a^n / b^n

Using these properties, we can simplify the expression as follows:

(y3/2 x -1/2)^4

= (y^3/2 * x^-1/2)^4

= y^3/2 4 * x^-1/2 4

= y^(3/24) * x^(-1/24)

= y^6 * x^-2

So the simplified expression is: y^6 * x^-2

my name is gabe itch

Answers

i’m weak lol i’m commenting for points

ΔABC and ΔJLK have two sets of congruent angles. Are these triangles congruent or not? How do you know?

Answers

Answer:

I think that yes they are, but I maybe wrong.

Step-by-step explanation:

I believe that this is true because of the Angle-Angle congruence theorem.

An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.

Part A: Write the system of equations that models this scenario. (5 points)

Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps. (5 points)

Answers

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

How to write and solve the system of equations?

Let's define the two variables:

x = number of calculators.y = number of calendars.

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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if u help me ill give u brainliest​ just fill in the blank

if u help me ill give u brainliest just fill in the blank

Answers

Answer:

I'm not doing this to steal points, but I can't see the painting. So yeah, sorry. Plese insert a image of that painting next time. Sorry.

Step-by-step explanation:

Answer:

agreed can't see the whole problem

Step-by-step explanation:

AKA the painting

what is the answer to 1\2÷3​

Answers

Answer:

1/6

Step-by-step explanation:

1/2÷3

1/2×1/3

1×1/2×3

1/2×3

1/6

the answer is i have no freaking idea

Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue

Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer

Answers

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

What is the sample size? Give only the number:





The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?

Answers

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Who’s pi on your calculated to get the volume of the cone. Around to the nearest 10th.

Whos pi on your calculated to get the volume of the cone. Around to the nearest 10th.

Answers

The Solution:

Given:

We are asked to find the volume of the above cone.

We shall use the formula below:

\(V=\frac{1}{3}(\pi r^2h)\)

In this case,

\(\begin{gathered} V=volume=? \\ r=radius=14m \\ h=height=13m \end{gathered}\)

Substituting these values, we get

\(V=\frac{1}{3}(\pi\times14^2\times13)=2668.259\approx2668.3m^3\)

Therefore, the correct answer is 2668.3 cubic meters

Whos pi on your calculated to get the volume of the cone. Around to the nearest 10th.

please help quickly!!!A shuffled deck of cards is placed face-down on the table. It contains 5 hearts, 6 diamonds, 4 clubs and 3 spades. What is the probability that the top two cards are both spades?.

Answers

The probability of getting two spades when two cards are drawn from the deck is 1/17.

What is probability?

Probability branch of mathematics the deal with the likewood of an event occouring. It is the measure of how likely it is something will happen or be the case. Probabilities expressed as a number between zero and one 00 indicates impossibility and one indicus certainity. Probability can be used to calculate the chances of certain outcome based on a state condition or data. Probability can also be used to make decision and prediction about the future.

The probability of getting two spades when two cards are drawn from a shuffled deck of cards is 3/52 x 2/51, or 1/17.

This is because there is a 3/52 chance of getting the first spade and a 2/51 chance of getting the second spade (since there is one less card in the deck).

Therefore, the probability of getting two spades when two cards are drawn from the deck is 1/17.

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A line has a slope of -2 and passes through the point (-2, -3). Write its equation in slope-
intercept form.

Answers

The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.

Given: Slope (m) = -2 and point (-2, -3)

Step 1: Use the point-slope form of a line's equation to find the equation of the line in point-slope form:y - y1 = m(x - x1) (where x1,y1 are the coordinates of the given point)y - (-3) = -2(x - (-2))y + 3 = -2(x + 2)Step 2: Simplify the equation by distributing the -2:y + 3 = -2x - 4Step 3: Solve for y by subtracting 3 from both sides of the equation:y = -2x - 7Therefore, the equation of the line in slope-intercept form is y = -2x - 7.

330,000,000,000,000,000,000,000 kg. to the power of ten

Answers

Answer:

uhhhhhhh not possible to much math

Which of the following is NOT equivalent to the other three?

Answers

do you have a picture to show so i can answer?

Find the value of x. Then, find the measure of each labelled angle.

x=_
(7x+10)°=_
(15x+16)°=_​

Find the value of x. Then, find the measure of each labelled angle. x=_(7x+10)=_(15x+16)=_

Answers

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Sorry plz help me it’s home work

Sorry plz help me its home work

Answers

Answer:

Yes

Step-by-step explanation:

Simplifiying, or combining like terms is how we are able to see a problem in a much more, easy to read format. When simplifying multiple terms into one another, it is important to ensure the items being combined all have the same variables and coefficients.

Variables: A variable is a letter used to stand for a number. The letters x, y, z, a, b, c, m, and n are probably the most commonly used variables.

Coefficients: The number used in front of a variable. Looks of that like for say, 3x. We don't have any coefficients in this problem, so no need to worry about that for now.

Looking at our problem we are given the following:

\(z+y+z+x+y+z\\\)

So Simplify this, its simple! Combine the like variables. (x with x, y with y, and z with z) Since all the variables given are positive, we are only adding like variables.

The steps would look as following:

\(z+y+z+x+y+z\\z+z+z =\\y+y= \\x =\\\)

Now, combine the like terms, and rewrite in alphabetical form:

\(z+z+z=3z\\y+y=2y\\x=1x = x\\x+2y+3z\)

With all that said, the answer is yes, this answer is equivalent to the one shown. Instead of showignthe condensed, normal form, we are given an expanded version of what is seen. The way the variables are placed in the equation do not matter, as long as all of the variable come out to have the same result.

I hope that this provided you with some clarification and I would be happy to help you again in the future! Have a nice day! :D

Answer:

Yes its equivelant. you have one x. 2 y and 3 z

Step-by-step explanation:

Can someone please help me with this

Can someone please help me with this

Answers

Answer:

D

Step-by-step explanation:

the lines are perpendicular if the slopes are negative reciprocals of each other.

If the slope of the first line is -1/3 then the negative reciprocal is 3

y=3x+b

we know that when x=2 y=1 which we can use to solve for b

1=3*2+b

b= -5

thus our final equation is

y=3x-5

PLEASE HELP ASAP
the plans for a shed call for a rectangular floor with a perimeter of 228 ft. The length is two times the width. Find the length and width. The width is ft. The length is ft.​

Answers

Answer:L = 76 ft.W = 38 ft.Step-by-step explanation:L = 2w=> L + W + L + W = 228 ft.=> 2W + W + 2W + W = 228 ft.=> 6W = 228 ft.=> W = 228/6=> W = 38 ft.L = 2(38)=> L = 76Conclusion:

Therefore, the answers are:

L = 76 ft.W = 38 ft.

Hoped this helped

\(BrainiacUser1357\)

Subtract these polynomials.
(3x2 – 2x + 5) – (x2 + 3) =

Subtract these polynomials.(3x2 2x + 5) (x2 + 3) =

Answers

Answer:

D. 2x^2 - 2x + 2

Step-by-step explanation:

(3x2 – 2x + 5) – (x2 + 3) add or subtract like terms

3x^2 - x^2 - 2x - 3 + 5 = 2x^2 - 2x + 2

Answer:

2x^2 - 2x + 2

Step-by-step explanation:

Ape-x

Branliest to correct answer explain how you got your answer please

Branliest to correct answer explain how you got your answer please

Answers

10.7%

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%
= 10.7%

Find the length of the missing side.

Find the length of the missing side.

Answers

Answer:

Your 3rd angle is 82 please mark brainlist thank you and God bless

simplify\(( \sqrt{5} )( \sqrt[3]{5} )\)a. 5 5/6b. 5 1/6c. 5 2/3d. 5 7/6

simplify[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]a. 5 5/6b. 5 1/6c. 5 2/3d. 5 7/6

Answers

To solve the exercise you can use the following properties of radicals and exponents

\(\sqrt[n]{a^m}=a^{\frac{m}{n}}\)\(a^ma^n=a^{m+n}\)

So, in this case, you have

\(\sqrt[]{5\text{ }}=5^{\frac{1}{2}}\)\(\sqrt[3]{5}=5^{\frac{1}{3}}\)

And finally,

\(\sqrt[]{5}\sqrt[3]{5}=5^{\frac{1}{2}}5^{\frac{1}{3}}=5^{\frac{1}{2}+\frac{1}{3}}=5^{\frac{3+2}{6}}=5^{\frac{5}{6}}\)

Therefore, the correct answer is A.

\(5^{\frac{5}{6}}\)

Hey team can spend no more than $300 on shirts the team has already spent $80 how many more shirts for $15 each can I still buy Rite in inequality that represents the situation

Answers

He can buy less οr equal tο 14 shirts with the mοney left and The inequality that represents this situatiοn is s (stands fοr shirts) ≤ 14.

What is inequality?

In Mathematics, it is the relatiοnship between twο values that are nοt equal. Inequality means twο values that are nοt equal. When the situatiοn is  tο cοmpare the values, '≤' οr '≥' sign are used.

Hey team can spend nο mοre than $300 οn shirts the team has already spent $80.

300- 80 = 220

220/ 15 = 14.6

Let us say s be the number οf shirts.

Then the inequality will be s≤14

As the numbers οf shirts cant be a fractiοnal term sο we cοnvert the fractiοnal term tο the integer οne.

Hence, the inequality that represents the situatiοn is s≤14.

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find the distance between each pair of points on the coordinate plane

Answers

Answer:

give full question please its not full

Zx and Zy are supplementary angles. Zy measures 88°. What is the measure of Zx? Stuck? ​

Answers

Answer:

92 degrees

Step-by-step explanation:

Supplementary means that the angles add up to 180 degrees.

180 - 88 = 92

PLZ HELP ME I WILL MARK BRAINLIEST!!!

PLZ HELP ME I WILL MARK BRAINLIEST!!!

Answers

Answer:

i just kno that D is 0

Step-by-step explanation:

-7 +7=0

Solve for u. 3u=7.5 please help me

Answers

Answer:

2.5

Step-by-step explanation:

7.5 divided by 3 equals 2.5.

(Also next time you can use a calculator)

The answer is U=2.5 it is 2.5 hope this helps you out.
Solve for u. 3u=7.5 please help me

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid. Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show Your Work. ( Will Mark Brainliest if answered correctly and Honestly).​

Answers

Answer:

5

Step-by-step explanation:

Pyramid

\(\textsf{volume of a square based pyramid} =\frac{1}{3} a^2h\)

(where \(a\) = base edge, and \(h\) = height)

Given:

base edge = 9 cmheight = 10cm

\(\implies \textsf{volume} =\frac{1}{3} \times 9^2\times10=270 \ \mathsf{cm^3}\)

Wax cubes

volume of a cube = w³, where w is the length of one edge

⇒ volume = 4³ = 4 x 4 x 4 = 64 cm³

Solution

To calculate how many wax cubes are needed, divide the volume of the pyramid by the volume of a wax cube:

⇒ 270 ÷ 64 = 4.21875

⇒ 5 wax cubes are needed to make the candle

We need to round this up to 5, since we need to know the number of whole wax cubes.  (If we rounded down to 4, there would not be quite enough to fill the pyramid as 4 x 64 = 256 < 270)

Can someone please help me answer this?

Can someone please help me answer this?

Answers

Step-by-step explanation:

Variable x = total number of students enrolled

495 people at the dance - 7 teachers = 488 students

4/5 = 488/x

Step 1: cross multiply

4x = 2440

Step 2: isolate the variable (x) by dividing by 4

x = 2440 ÷ 4

Step 3: solve

x= 610 students total

The equation of a circle is x^2+y^2-2x +6y-6=0. Find the center and radius of the circle by completing the square.you must include all steps. Your response must be at least 5-7 sentences at a minimum.

Answers

Answer:

The center of the circle is at;

\((1,-3)\)

The radius of the circle is;

\(r=4\)

Explanation:

Given the equation of circle;

\(x^2+y^2-2x+6y-6=0\)

we want to re-write it in the form;

\((x-h)^2+(y-k)^2=r^2\)

where;

\(\begin{gathered} (h,k)\text{ is the center of the circle} \\ r\text{ is the radius} \end{gathered}\)

Applying Completing the square method;

\(\begin{gathered} x^2+y^2-2x+6y-6=0 \\ x^2-2x+1+y^2+6y+9=6+1+9 \\ (x-1)^2+(y+3)^2=16 \\ (x-1)^2+(y+3)^2=4^2 \end{gathered}\)

comparing the derived equation to the general form we have;

\(\begin{gathered} h=1 \\ k=-3 \\ r=4 \end{gathered}\)

Therefore;

The center of the circle is at;

\((1,-3)\)

The radius of the circle is;

\(r=4\)

Can you solve this i will give 10 points

Can you solve this i will give 10 points

Answers

Answer:

2

Step-by-step explanation:

Area = length * width * height

  4/5 * 3/2 * 5/3

=  60/30

= 2

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