Gavin invested $11,000 in a savings account. If the interest rate is 7%, how much will be in the account in 10 years with monthly compounding?
Round your answer to the nearest cent.
Do NOT round until you calculate the final answer

Answers

Answer 1

Answer:

$22,106.28

Step-by-step explanation:

[tex]CI=P(1+(\frac{r}{12}) )^{12t}[/tex], where [tex]P[/tex] is the principal, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the time in years.

[tex]CI=\$11000.00(1+(\frac{0.07}{12}) )^{12(10)}[/tex]

[tex]CI=\$22106.28[/tex]

Gavin Invested $11,000 In A Savings Account. If The Interest Rate Is 7%, How Much Will Be In The Account

Related Questions

y=1/x+2 slope and y intercept

Answers

Answer:

Step-by-step explanation:

I think the slope and the y is not 1/x because 2 is not part of the slope, im not sure

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05.

If 202 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.03? Round your answer to four decimal places.

Answers

The probability that the sample proportion of the number of people using the courier will differ from the population proportion by greater than 0.03 is 0.0504

How to get the required probability

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 0.05

sample size, n = 202

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.05(1 - 0.05)) / 202}

= √{(0.05 * 0.95) / 202}

= 0.01533

The probability

differ from the population proportion by less than 3%

|X - 0.05| > 0.03

X < 0.02 OR X > 0.08

P(z < 0.02) + P(z > 0.08 )

z score for z < 0.02

z = (0.02 - 0.05) / 0.01533

= -1.9569

p value for z < -1.9569 = 0.02518

z score for z > 0.08

z = (0.08 - 0.05) / 0.02196

= 1.9569

p value for z > 1.9569 = 1 - 0.9748 = 0.02518

The probability required = 0.02518 + 0.02518 = 0.0504 = 5.04%

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Confused please help.

Answers

The image of the corresponding to each slope is attached

What is slope?

A line's steepness can be determined by looking at its slope.

Slope is determined mathematically as "rise over run" (change in y divided change in x).

assuming slope is m

m = (y₂ - y₁) / (x₂ - x₁) = change in y / change in x

considering the formula

slope is between 0 and 1 when rise (change in y) is so smaller than run (change in x) hence the line is closer to horizontal

slope is greater than 1 then the rise is more than run, in this case the line is approaching vertical line

numbers less than zero are negative hence slope has a negative value

A horizontal line is a line that has a slope of of zero while vertical lines has its slope as infinity

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estimate each sum or difference.
74/10+42/5

Answers

The sum of the fraction 74/10 + 42/5 is 15 4/5.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the fraction will be illustrated as:

= 74/10 + 42/5

Change to mixed numbers

= 7 4/10 + 8 2/5

= 7 4/10 + 8 4/10

= 15 8/10

= 15 4/5

The value is 15 4/5.

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Ken spends $344.76 before tax at a hardware store. If the sales tax rate in his city is 7.5%, what is the total cost of his purchase? Round to the nearest cent if necessary.

Answers

Answer:

$370.62

Step-by-step explanation:

Ken spends $344.76 before tax at a hardware store. If the sales tax rate in his city is 7.5%, what is the total cost of his purchase? Round to the nearest cent if necessary.

7.5% = 0.075

0.075 * $344.76  = $25.857 in tax so:

cost + tax

$344.76 + $25.857 = $370.617

rounded:  $370.62

one positive number is 8 more than twice another. if their product is 1242, find the numbers?

Answers

Answer:

Step-by-step explanation:

Mr. Dunston and Mr. Dolland spent $45 all
together. Mr. Dunston and Ms. Campbell
spent $65 all together. If Ms. Campbell spent
3 times as much as Mr. Dolland, how much
did Mr. Dunston spend?

Answers

Mr. Dunston spend is $35.

Given:

Mr. Dunston and Mr. Dolland spent $45 all together.

Mr. Dunston and Ms. Campbell spent $65 all together.

If Ms. Campbell spent 3 times as much as Mr. Dolland.

Let x , y , z be spend of dunston ,dolland and campbell.

x + y = 45

x + z = 65

z = 3*y

x + 3y = 65

on substracting x + y = 45 and x + 3y = 65 we get,

x + y - x - 3y = 45 - 65

-2y = -20

2y = 20

y = $10.

substitute y value,

x + 10 = 45

x = 45 - 10

x = $35

Therefore Mr.Dunston spend $35.

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4y=16x-4 in standard form?

Answers

The standard form of linear equation is 4x - y = 1.

What is the standard form of a linear equation?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

The slope intercepts form a linear equation is y = mx + c, where m is the slope and c is y-intercept of the line.

Given linear equation is:

4y=16x-4

Subtract 16x from both sides:

4y - 16x = -4

Divide both sides by -4

-y + 4x = 1

4x - y = 1

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Louie is studying ceramics, and he was asked to submit 5 vessels from his collection to exhibit at the fair. He has 15 vessels that he thinks are show worthy. In how many ways can the vessels be chosen?

Answers

Louie can choose the vessel for exhibition using combination in 3003 ways

How to determine the number of Louie can choose the ceramic

information from the question include

Louie is studying ceramics and he is to submit 5 vessels

He has 15 vessels

The problem will be solved using combination

combination is method of choosing or making selection when order does not matter

Louie can choose any 5 of his vessel with no particular order

The formula is ₁₅C₅

₁₅C₅ = 15! / {5!(15 - 5)! )

= 15! / {5! * 10!}

= 3003 ways

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What is the probability of rolling a number less than or equal to 3 on a standard six-sided die

Answers

The probability of rolling a number that is less than 3 is P = 1/2.

How to find the probability?

A standard six-sided die has the following outcomes:

{1, 2, 3, 4, 5, 6}

The outcomes that are less than or equal to 3 are:

{1, 2, 3}

Assuming all the outcomes have the same probability, the probability of rolling a number less than or equal to 3 on a standard six-sided die will be equal to the quotient between the number of outcomes that meet the condition and the total number of outcomes.

It will give:

P = 3/6 = 1/2 = 0.5

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?

Answers

The magnitude of the boats resultant vector is 314.1 mi

What is a vector?

A vector is a physical quantity that has both magnitude and direction.

What is a resultant vector?

A resultant vector is the sum of two or more vectors.

How to find the boats resultant vector?

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

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Write the linear equation when given the following information.

m = -2 and b = -5

Answers

Answer:

y=-2x-5

Step-by-step explanation:

m =-2 and b=-5 so when substituted it will get you y=-2x-5

HELPPPPP pleaseeeeeeeeeeeeeeeeeeeee

Answers

3. I’m pretty sure and you selected it


The area of a rectangular garden is 224 square meters. The width is 6 meters longer than one-half of the length. Find
the length and the width of the garden. Use the formula, area = length • width.
Pls help

Answers

[tex]\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=224\\ w=\stackrel{\textit{half-length plus 6}}{\frac{L}{2}+6~\hfill } \end{cases}\implies 224=L\left( \cfrac{L}{2}+6 \right)\implies 224=\cfrac{L^2}{2}+6L[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(224)=2\left( \cfrac{L^2}{2}+6L \right)}\implies 448=L^2+12L \\\\\\ 0=L^2+12L-448\implies 0=(L-16)(L+28)\implies \boxed{L= \begin{cases} -28\\\\ 16 ~~ \textit{\LARGE \checkmark} \end{cases}} \\\\\\ \stackrel{\textit{since we know that}}{w=\cfrac{L}{2}+6}\implies w=\cfrac{16}{2}+6\implies \boxed{w=14}[/tex]

now, let's notice, "L" has two valid values but for this case "L" cannot be negative.

What is the function rule for the line?
f (x) = 2x - 4
f(x)=-4x - 2
f(x) = 4x - 2
f (x)= -2x + 4

Answers

Answer: f (x)= -2x + 4

Alma ran a marathon. The graph shows the distance she ran during the marathon. Use the drop-down menus to complete the statements based on the graph.

Answers

From the proportional relationship graphed, it is found that:

The labeled point means that in 2 hours she ran 16 miles.In 1 hour, Alma ran 8 miles.Her distance changed at a unit rate of 8 miles per hour, so Alma's speed was of 8 miles per hour.If Alma ran faster, the slope of the graph would be greater.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0, meaning that the relationship passes through the origin.

When the two variables x and y are direct proportional, the output variable y is obtained multiplying the input variable x by the constant of proportionality k, according to the rule presented follows:

y = kx.

From point (2,16) in this problem, the constant is given as follows:

k = 16/2 = 8.

Hence the equation is:

y = 8x.

Meaning that her rate is of:

8 miles per hour.

If she ran faster, the slope = constant would increase, as it represents the velocity.

Missing Information

The problem is given by the image at the end of the answer.

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8x-4=2(4x-4)
for how many games is the total cost of bowling equal for the two bowling establishments??

Answers

Answer: x= 0.5

Step-by-step explanation:

8x-4=2(4x-4)

You would want to take away the smaller x which is (4x)

4x-4=2-4

+4         +4

4x-4=2

+4  +4

4x=2

daddy ;)

Like terms 8x-12-10x-8

Answers

8x-12-10x-8 => -2x-12-8 => -2x-20

1. What property is demonstrated by the following example: 3+1 = 1+3
2 points
distributive
associative
additive identity
commutative
Clear selection
2. Which property is displayed in the given example: 4(2-x) = 8 - 4x
2 points
distributive
associative
commutative
multiplicative inverse
Clear selection
3. Which of the following examples displays the additive identity property:
2 points
3+(1+2) = (3+1) + 2
3 + 0 = 3
3+1 = 1+3
3/1(1/3) = 1
Clear selection
4. Which property below is shown here: 32 + (x +2) = (32 + x) + 2
2 points
distributive
associative
additive identity
commutative
Clear selection
5) Which of the following is an example of an expression?
*
2 points

Option 1

Option 2

Option 3

Option 4
6) Translate: Thirteen less than twice a number
*
2 points

Option 1

Option 2

Option 3

Option 4
7. The following example is demonstrating which property: 4/1(1/4)=1
2 points
distributive
associative
commutative
multiplicative inverse
8) Which of the following best describes a monomial?
*
2 points
A algebraic expression with three terms
An algebraic expression containing exactly one term
A number that has more than two factors
An algebraic expression containing two terms.
9) Charlie was evaluating the expression below and made an error. In what line did he make his error? (unit 2 Integer review)
*
2 points
Captionless Image
(1) Line #1
(2) Line #2
(3) Line #3
(4) Line #4
10) Which number sets does "0" belong to? (Unit 1 Number sets review)
*
2 points
Rational ONLY
Real, Rational, Integer, and Whole Numbers
Real and Irrational Numbers
Real and Natural Numbers
11. Solve 2/3 divided by 0.8 (Unit 3 operations with rational numbers review)
2 points
2 1/2
5/6
2 2/5
0
12. Which expression below is an example of a binomial?
2 points
2x
2x + 2
2xy + x + 2
2xy
13. Which expression correctly simplifies the polynomial? 2x - 4 + 3x + 24
2 points
1x + 20
5x + 28
1x + 28
5x + 20
14. Which expression correctly simplifies the following expression? 2.5(3n + 3.6)
2 points
5.5n + 6.5
7.5n + 3.6
7.5n + 9.0
5.5n + 9.0
15. After you translate the following problem, which choice shows the negative 1 distributed correctly? Subtract (4m + 15) from (12m - 10)
2 points
4m +15 - 12m - 10
4m +15 - 12m + 10
12m - 10 - 4m + 15
12m - 10 - 4m - 15
16. Factor the following expression: 6x - 18
2 points
2(3x - 9)
3(2x - 6)
6(1x - 3)
9(3x - 2)
Submit
Clear form

Answers

Answer:

1:commutative

2:distribution

3:3+0=3

4:distributive

5:

Find the ratio of 1.94 million to 2.16 million

Answers

Answer:

0.97m : 1.08m

Step-by-step explanation:

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A local grocery store offers 3 brands of laundry detergent. Brand A costs $14.99 and contains 40 fluid ounces of detergent. Brand B costs $19.99 and contains 50 fluid ounces of detergent. Brand C costs $21.99 and contains a half-gallon of detergent. Which of the detergents has the best value?

Answers

Answer:

$ 52.63

Step-by-step explanation:

The brand C detergent has the best value.

What is Arithmetic?

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data in the question:

The information regarding the quantity and cost of 3 detergents is given in the question.

We have to find out which detergent is the most economical.

The detergent with the lowest cost/quantity will be the most economical.

For Brand A

Cost = $14.99

Quantity = 40 ounces

cost/quantity = 14.99/40 = 0.374 dollar/ounce

For Brand B

Cost = $19.99

Quantity = 50 ounces

cost/quantity = 19.99/50 = 0.399 dollar/ounce

For Brand C

Cost = $21.99

Quantity = 1/2 gallon = 64 ounces

cost/quantity = 21.99/64 = 0.343 dollar/ounce

The brand C detergent has the best value.

Hence, The brand C detergent has the best value.

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4. A Bag of marbles has 4 yellow, 5 red, and 1 purple. Create a situation that would satisfy the following:
a) Something that is IMPOSSIBLE to
happen.
b) Something that is EQUALLY
LIKELY to happen.
c) Something that is LIKELY to
happen.

Answers

According to the solving Probability the value are as follows.

a) P(Blue)= 0/10

b) P(Red)= 5/10

c) P(Red or Yellow)= 9/10

What is probability?

The definition of probability is "How likely something is to happen."

Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.

First, 0 P(E) 1 (where P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.

According to the given data:

We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.

Total balls in a bag= 4+5+1=10 balls.

Something that is IMPOSSIBLE to happen.

P(Blue)= 0/10

Something that is EQUALLY LIKELY to happen.

P(Red)= 5/10

Something that is LIKELY to happen.

P(Red or Yellow)= 9/10

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Which expression is equivalent to the expression below?

2.1 + (–3.7h) + 1.9h – 1.4
3.5 – 5.6h
−1.1h
0.7 + 1.8h
0.7 – 1.8h

Answers

Using the simplification, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.

In the given question we have to find the equivalent expression of the given expression.

The given expression is 2.1+(–3.7h)+1.9h–1.4

Now solving the given expression to find the equivalent expression.

Now solving the expression

=2.1 + (–3.7h) + 1.9h – 1.4

Firstly simplifying the bracket

=2.1–3.7h+ 1.9h – 1.4

=(–3.7h+ 1.9h)+(– 1.4+2.1)

= –1.8h + 0.7

We can write it as

=0.7–1.8h

Hence, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.

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MODELING REAL LIFE The diagram shows the prices of two
types of ground-cover plants. A gardener can afford to buy 125
vinca plants and 60 phlox plants.
$1.20/plant Vinca $2.50/plant Phlox

a. Write an equation in standard form that models the possible
combinations of x vinca plants and y phlox plants the gardener
can afford to buy.

An equation that models the possible combinations is:
___ = 300.

Please help!

Answers

a.

A gardener can afford to buy 125 vinca plants and 60 phlox plants. $1.20/plant Vinca $2.50/plant Phlox.

The equation in standard form that models the possible combinations of x vinca plants and y phlox plants the gardener can afford to buy is

$1.20*x + $2.50*y

b.

An equation that models the possible combinations is

$1.20*125 + $2.50*60 = 300

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After raining for 3/4 of an hour, a rain gauge 2/5 of the way full if it continued to rain at the same rate for 15 more minutes what fraction of the rain gauge will be filled

Answers

When it rains at the same rate for 15 more minutes, the fraction of the rain gauge that will be filled is 2/15.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

From the information, after raining for 3/4 of an hour, a rain gauge 2/5 of the way full. It's important to note that 3/4 is (3 × 1/4).

Therefore, we will divide 2/5 by 3 and this will be:

= 2/5 ÷ 3

= 2/5 × 1/3

= 2/15

This is the value of the rain gauge.

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help fast plsss bout to turn it in

Answers

Answer:

Box A: -2x

Box B: 2/9

Step-by-step explanation:

Multiply 1/3 by each of the expressions above the rectangle.

Box A: 1/3 × (-6x) = -2x

Box B: 1/3 × 2/3 = 2/9

Choosing the best bank for a new savings account

Answers

The major criteria to be considered when going for a bank to have a new savings account registered with them are as follows:

Low interest rates on my savingsFriendly customer serviceOnline banking site usability platform.

Why low interest rate makes a criterion for choosing the bank to bank with.

As an entrepreneur, finding a good bank to open a savings account with might be much tedious to do. However, I have live to understand that banks with low interest rate are a better catch if I am considering a good saving lifestyles. I cannot stand a banking system that charges me unnecessarily all the time all in the name of fee or the other, which results to reducing my money in their system.

That being said, discovering a bank which has welcoming and helping customer service is also an important factor to be considered when choosing to right banking system.

In conclusion, it can be deduced that a bank with which does not deduct one's money anyhow all in the name of interest is worth having a savings account with.

Complete question:

What are the conditions to be considered in choosing the best bank for a new savings account?

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The side length of a square is √8, find the perimeter.
is the number rational or irrational?

Answers

Step-by-step explanation:

Square has perimeter 4a because every side is equal,

so :

if a=√8 , then 4a = 4*√8 or 11.313708499

and the number is rational

Number is rational from 8

Differentiate the function with respect to x.

Answers

Differentiation of f(x) is [tex]-8x^{3} sinx^{4}[/tex].

Given,

f(x) = [tex]cos2x^{4}[/tex]

Now, we will differentiate f(x) with respect to x,

[tex]\frac{d}{dx}cos2x^{4} = (\frac{d}{dx}cos2x^{4})(\frac{d}{dx}2x^{4} )[/tex]

              [tex]= (-sin2x^{4})(2*4x^{3})[/tex]

              [tex]= -8x^{3}sin2x^{4}[/tex]

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kayla used her cell phone for four days . her average calling time was 130 minutes each day .suppose that kayla used the phone for m minutes on fifth day . write an algebraic expression for the average number of minutes she spent on the phone over five days.

Answers

Answer:

130-60m

Step-by-step explanation:

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