Noah borrowed $5000 from the credit union for 180 days. The interest rate is 11.4% per year. How much must Noah pay to the credit union after 180 days?

Answers

Answer 1

The amount that Noah pays to the credit union after 180 days will be $5143.85.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

We have

P = $5,000

r = 0.114 / 12 = 0.0095

n = 3

A = 5000(1 + 0.114)³

A = $5143.85

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Related Questions

A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?​

Answers

Answer:

6.8 miles

Step-by-step explanation:

We can apply the formula :

⇒ Mean distance per diver = Total distance covered / No. of divers

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

Given :

⇒ Number of divers = 28

⇒ Total distance travelled = 190.4 miles

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

Solving :

⇒ Mean distance = 190.4 miles / 28

⇒ Mean distance = 6.8 miles

2x^-3 y^-2
——————
4xy^5

Answers

[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]

at tree is 24 feet tall and casts a shadow of 10 feet. at the same time, a tower casts a shadow of 25 feet. what's the height, in feet, of the tower?


a.45 feet

b.60 feet

c. 75 feet

d. 90 feet

Answers

Using similarity principle, the height of the tower in feet is 60 feet.

How to calculate the height of the tower?

The height of the tower can be calculated using similarity principle.

Using similarity principle the corresponding sides are a ratio of each other.

Therefore,

let

x = height of tower

24 / x = 10 / 25

cross multiply

10x = 24 × 25

10x = 600

divide both sides by 10

x = 600 / 10

x = 60

Therefore, the height of the tower is 60 feet.

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What is the slope of the line y=3-x/8?

Answers

M= - 1/8 I gotchu hope that helps

Please help
Solve for x

Answers

The value of x is 5. The correct option is the second option-  5

Proportionality theorem

From the question, we are to determine the value of x

By the proportionality theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Considering the diagram, we can write that

[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]

Then, we get

12 × 35 = 28(35-4x)

420 = 980 -112x

112x = 980 - 420

112x = 560

x = 560/ 112

x = 5

Hence, the value of x is 5. The correct option is the second option-  5

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A 7-pack of DVDs costs $31.71. What is the unit price?

Answers

Answer: $4.53

Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53

The unit price of each is $4,53

Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.

$31,75 ÷ 7 = $4,53

Therefore, the unit value of each DVD is $4,53

what is the answer to this

Answers

Step-by-step explanation:

[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

hope it will be helpful

Answer:

86

Step-by-step explanation:

Evaluate the expression:

 Plugin the value of m, in the expression

m² + 5 = 9² + 5

           = 81 + 5

            = 86

Find the width of the river in Figure 20.18 to the nearest metre.​

Answers

Answer:

~ 6 m

Step-by-step explanation:

For a right triangle

tan = opposite leg / adjacent leg

     = height / width of river

     

tan 15 = 1.6 / width

width = 1.6 / tan 15 = 5.97 m

2x²-8x-10
how do i factor this explains step:)

Answers

Answer:

Step-by-step explanation:

Solution

The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.

2(x^2 - 4x - 5)

Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this

2(x    5) (x    1)

But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.

2(x - 5)(x     1 )

So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.

2(x - 5)(x  +   1 )

!!
Mum spent 3/5 of her money and put 1/8 of the remainder in the bank. If she had $750 left, how much did she start with?

Answers

Answer:

$2142.86

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

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

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

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

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = $2142.86 (nearest cent)


I need help QUICK!!!

Answers

Answer:

87 in³

Step-by-step explanation:

that is the solution above

The graph of which of the following equations contains the point (-3,0)?
A. 22+y=6
B. x - 2y = 6
C. -x + 2y = 6
D. -2x + y = 6

Answers

Answer:

B. x-2y=6

Step-by-step explanation:

What proportion could you use to
find the value of x?

Answers

Answer:

short leg : long leg

x : 11 = 3 : x

Step-by-step explanation:

short leg : long leg

x : 11 = 3 : x

[tex]\implies \sf \dfrac{x}{11}=\dfrac{3}{x}[/tex]

[tex]\implies \sf x^2=33[/tex]

[tex]\implies \sf x=\sqrt{33}[/tex]

Answer:

3/x=x/11

Step-by-step explanation:

PLEASE GOD HELP ME!!!! ​

Answers

Another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Indices expression

Given the rational function expressed as:

x = √rs

We can reconstruct the expression by writing it using exponents as shown;

[tex]x =\sqrt{rs}=(rs)^{\frac{1}{2} }[/tex]

Separate to have:

[tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Hence another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

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Match each rational expression to its simplest form.
2m2-4m
2(m2)
m2-2m+1
m-1
m-
m
m-1
EE
m
m²-3m +2
m2.
m
m
m
Reset
m²-m-2
m²-1
Next

Answers

The first rational expression simplifies to (m - 1).

The second rational expression simplifies to (m - 2) / m.

The third rational expression simplifies to (m - 2) / (m - 1).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(m² - 2m + 1) / (m - 1)

(m² - 2m + 1) / (m - 1)

= (m - 1) / 1

= m - 1

The first rational expression simplifies to (m - 1).

(m² - 3m + 2) / (m² - m)

(m² - 3m + 2)

= (m - 1)(m - 2)

(m² - m)

= m(m - 1)

So,

(m² - 3m + 2) / (m² - m)

= (m - 2) / m

The second rational expression simplifies to (m - 2) / m.

(m² - m - 2) / (m² - 1)

(m² - m - 2)

= (m - 2)(m + 1)

(m² - 1)

= (m - 1)(m + 1)

So,

(m² - m - 2) / (m² - 1)

= (m - 2) / (m - 1)

The third rational expression simplifies to (m - 2) / (m - 1).

Thus,

The first rational expression simplifies to (m - 1).

The second rational expression simplifies to (m - 2) / m.

The third rational expression simplifies to (m - 2) / (m - 1).

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The complete question.

Match each rational expression to its simplest form.

(m² - 2m + 1) / (m - 1)

(m² - 3m + 2) / (m² - m)

(m² - m - 2) / (m² - 1)

Options:

(m - 2) / m

(m - 1)

(m - 2) / (m - 1)

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation

Answers

The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

How to find the Mean Absolute Deviation?

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

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Suppose y = 2x + 10. Find y if
x= -6.

Answers

The answer is -2 because 2 * -6 = -12 -12 + 10 = -2

x
Benchmark Assessment - 29/34
Choose two number sentences below that equal 39:
A) 71-32
B) 49 - 20
C) 85-46
D) 50 - 29

Answers

A, 71-32 is equal to 39
C, 85-46 is also equal to 39

The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth.

Answers

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

Solve the following system of equations.
f(x) = 3x² - 7x-2
g(x) = -2x² +8

Answers

Answer:

f(x) = 3x²-7x-2

answer: (7+- √73)/6

g(x) = -2x² +8

answer:

x = +-2

Step-by-step explanation:

picture is attached

quadratic formula

click on the screenshot

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the graph of the function f(x)=In x. Match each transformation of function f with a feature of the transformed function. function decreases as x increases x-intercept at y-intercept at

Answers

The matching of each transformed function is as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

How to match transformations?

A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.

From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

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Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution.
OA. d-15=38; d = 53
OB. d-15=38; d = 23
C. d+15=38;d=23
OD. d+15=38; d = 53

Answers

Answer:

A

Step-by-step explanation:

because

d-15=38

d-15+15=38+15

d=53

Part 1: Bob got tickets for himself and his son to go to a Saints game. Parking at the Dome is $20. If Bob spent $120 on tickets and parking, how much was each ticket? Choose the correct equation.
20x+2=120
2x + 120 = 20
2x+20=120

Answers

C 2x+20=120
That’s the answer also 50$ per ticket

HELP!!! please this is my last question for my paper

Answers

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

change the sign of the x-coordinate and keep the sign of the y-coordinate the same.

Answers

IT doesn't make any sense

What is the classification for this polynomial?
x²y + 3x³
Click on the correct answer.
monomial
binomial
trinomial

Answers

Answer:

It’s a Binomial

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Trinomial

[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]

We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.

In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).

[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]

What percent of your budget of $4000 would your rent be if you pay $800 in rent?

Answers

Answer:

20%

Step-by-step explanation:

Take the amount of rent and put it over the total amount of money to find  the percent

800/4000 =.2

Change to percent form by multiplying by 100

.2 * 100 = 20%

let me know asap PLEASE

Answers

Answer:

the correct answer is B

Step-by-step explanation:

A function g is the inverse for the function f if for y-f(x), x-g(y)

y=7x-6

Replace x with y

x=7y-6

Solve for y in x=7y-6

Switch sides

7y-6=x

Add 6 to both sides

7y-6+6=x+6

Simplify

7y=x+6

Divide both sides by the coefficient of y, which is 7. We have:

7y/7 = x/7+6/7

7y & 7 are cancelled out and we're left with: x/7 & 6/7

Now we find the LCM of the denominators which is 7.

7 divide the denominators equal 1, we use the to multiply the numerators, x & 6

our final answer= x+6/7

I hope this helps.

Segment AB with endpoints at A(6, 5) and B(6, 15) is partitioned by point P according to the ratio of 3:2. Find the coordinate of point P.

Answers

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]

[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]

What is the median of the data set?

16, 21, 28, 30, 40, 45, 54, 58

A. 58
Β. 35
C. 10
D. 19​

Answers

Answer:

I think 10 is the answer it's not sure.

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