Richard invested $ 4,500.00 in a bank that pays simple interest of 4% a. M., for 10 months. How much will John earn in interest and Amount, respectively?​

Answers

Answer 1

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⊱┈────────────────────────┈⊰

\(\large \bold {ANSWER}\)

\(\large \boxed { \large \sf \green{ Interest: 1,800 \: }}\)

\(\large \boxed { \large \sf \green{ \: Amount: 6,300\: \: }}\)

\(\large \bold {SOLUTION}\)

We need to know what 4% of 4,500 is. For this we will use simple rule of 3.

\(\dfrac{4.500}{x} \large \text{$\searrow\!\!\!\!\!\!\nearrow\!\!\!\!\!$}\normalsize= \dfrac{100}{4}\)

\(\begin{gathered}100x = 4.500*4 \\ 100x = 18.000 \: \: \: \: \\ x = \frac{18.000}{100} = 180\end{gathered}\)

Now that we know what 4% of 4,500 is. We need to multiply it by the number of months the money will be invested.

\(180 \times 10 = 1800\)

1800 is interest. Now we need to add to the amount applied, so we will have the amount.

\(4.500 + 1.800 = 6.300\)

Hence, The interst is 1800 and the amount is 6,300.


Related Questions

What is the product?
4^3 4^-3

Answers

Answer:

Im pretty sure its 1

Step-by-step explanation:

If you meant 4^3*4^-3, then yeah, its 1

Round 3.46 to the nearest integer

Answers

Answer: 3.5 integers can be in decimals too. and any number counts as an integer except for 0

Answer:

3

Step-by-step explanation:

Find the number in the whole number place 3 and look one place to the right for the rounding digit on the right side of the decimal point 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?

Answers

Answer:

blue:total

14:20

Answer:

14:20

Step-by-step explanation:

because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20

A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of _______.

Answers

A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

What is a rate?

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

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(7a^2 -a + 4) – (3a^2 - 4a - 3)

Answers

Step-by-step explanation:

Answer. in the attachment

(7a^2 -a + 4) (3a^2 - 4a - 3)

13
Calculate a, b and m so that the
polynomials P and Q defined by :
P(x) = (m - 2)x2 + (2a + 3)x +b +6 and
Q(x) = 3x2 - (m - 2)x + 2a - 3 , are equal.​

Answers

Answer:

m = 5

a = -3

b = -15

Step-by-step explanation:

(m - 2) = 3 for x^2

(2a + 3) = - (m - 2) = (2 - m) for x^1

(b + 6) = (2a - 3) for x^0

construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls don't give wrong answers

Answers

Answer and Step-by-step explanation: The described right triangle is in the attachment.

As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:

AC² = AB² + BC²

\(AB^{2} = AC^{2}-BC^{2}\)

\(AB =\sqrt{AC^{2}-BC^{2}}\)

\(AB =\sqrt{7^{2}-4.5^{2}}\)

\(AB =\sqrt{28.75}\)

AB = 5.4

Then, right triangle ABC measures:

AB = 5.4cm

BC = 4.5cm

AC = 7cm

construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........

A written outline that details the major and minor parts of a film, marking the parts by numbers and letters, is a

Answers

A written outline that details the major and minor parts of a film, marked by numbers and letters, is called a script or screenplay.


A script or screenplay is a written document that serves as a blueprint for a film. It outlines the major and minor parts of the story, including dialogue, actions, and settings. The parts of the script are typically marked using numbers for major sections and letters for subsections.

The script provides a clear structure for the film, guiding the director, actors, and crew in bringing the story to life on screen. It acts as a roadmap for the production, ensuring consistency and coherence in the storytelling process. The script is an essential tool in the filmmaking process and serves as the foundation for translating the written words into a visual and auditory experience for the audience.

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Why is it called absolute value?

Answers

The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.

The absolute value (or modulus) |x| of a real number x is the non-negative value of x without regard to its sign.

It is represented as |a|, which defines the magnitude of any integer ‘a’.

it defines removing any negative sign in front of a number and thinking of all numbers as positive.

Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system.

When x itself is negative (x<0), then its absolute value is necessarily positive

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What is the slope of this line: y=10

Answers

The slope of this line is 0. If you graph the line y=10, for any x value, the y-value remains 10 (denoted because x is equal to 0 in the actual equation shown, which means that x will not be shown in the equation). The graph would basically just be a straight horizontal line, neither curving up or down.

2. Mrs.Anub is sad because 75% of her pupils failed in the Summative Test.If 40 pupils failed in the test,how many pupils does she have.in the class?
Copy and answer:
a. What is asked in the problem?

b.What are the given facts?

c. What is the formula to be used to solve the problem?

d.What is the number sentence?

e.Solve and show your solution...

e.Write the answer...

Answers

Answer:

1. How many pupils does Mrs.Anub have in all

I am sorry but I could only solve question 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. How many pupils does she have in the class?

b. 40 pupils failed in the test.

c.  x = all pupil in the class

    percentage

d.   75/100 x = 40

e.   75/100 x = 40

           x        = 40*100/75

                     =  53.33

        pupils   =   53 people

f. There are 53 pupils in the class.

How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a

Answers

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

compare and write the symbol >, < or =

1. 8 m___300 cm + 500 cm
2.400 cm -100 cm __2 m
3.1000 cm __500 cm +500 cm
4.125 g + 500 g __2 kg
5.2 kg__2000 g + 3000 g
6.600 g +500g +1000g__ 12 kg
7.4kg -2kg__2000g
8.3L __1000ml+ 1000ml+ 1000ml
9.2L+500ml__1500ml
10.4000ml__4L​

Answers

Answer:

1. =

2. more than

3.=

4.less than

5.more than

6.less than

7.=

8.=

9.more than

10.=

A cell phone company conducted a survey to determine if customers were satisfied with their cell phone service. The survey sample consisted of all customers who had contacted the company within the past year and who agreed to participate. Of the 420 customers surveyed, 65% reported that they were not satisfied with their service.

Which statement about this sample is true?


A Exactly 65% of all customers are not satisfied with the cell phone service.

B The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,

C The sample might not be representative of the population because, in general, satisfied customers have no reason to contact the company.

D No generalizations can be made from this sample because the sample size is too small.

Answers

The statement that is true about the given sample is that;

B. The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,

Sample Statistics Interpretation

We are given;

Sample size; n = 420

Sample proportion; p^ = 65%

Now, from the sample size and proportion, we can say that;

Exactly 65% of the surveyed customers were not satisfied with the cell phone service. Now, this only represents those surveyed and not the entire population. Thus it is not exactly 65% of all customers that are not satisfied with the cell phone service.

Option B is correct because the 420 customers surveyed is a sample from the population of all their customers within the last year.

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Answer:the answer is b

Step-by-step explanation:

If you read the problem you would know

…………help…………………..!!!

help..!!!

Answers

Answer:

33%

Step-by-step explanation:

If you add all them together you get 24 right? Then do 8/24 then you get 0.3333333

Suppose f(x) = - 3x² + 9x − 2. Compute the following:
A.) ƒ( − 2) + f(1) =
B.) ƒ( − 2) – ƒ(1) =

Answers

Step-by-step explanation:

\( f(x) = - 3 {x}^{2} + 9x - 2\)

A) f(-2) + f(1) = -32 + 4 = -28

B) f(-2) - f(1) = -32 - 4 = -36

3. Show whether the series are convergent or divergent. Indicate the test(s) used and show any conditions required by the tests. 1 ) 8 ) k Ink k=2 (e) (8 points) į

Answers

The series 8(k ln k)k=2 also diverges by the integral test. Therefore, the series is divergent.

To determine whether the series 8(k ln k)k=2 is convergent or divergent:

We can use the integral test.
First, we need to check the conditions required for the integral test.

The function f(x) = x ln x is continuous, positive, and decreasing for x ≥ 2.

Therefore, the integral test is applicable.
Now, we can set up the integral:
∫2∞ x ln x dx
Using integration by parts, we can simplify the integral as follows:
∫2∞ x ln x dx = [\(x^2\) ln x/2 - ∫\(x^2\)/2 dx] from 2 to ∞
= ∞ - limt→∞ [(\(t^2\) ln t/2) - (\(t^2\)/4) + 1]
Using L'Hopital's rule, we can evaluate the limit as:
limt→∞ [(2ln t + 1)t - t/2] = ∞
Since the integral diverges, the series 8(k ln k)k=2 also diverges by the integral test. Therefore, the series is divergent.

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The radius of a circle is 7 m. Find its area in terms of � π.

Answers

Answer: 154  sq. m

Step-by-step explanation: we all know the formula for the area of a circle is = πr^2

thus here r=7m and π is 22/7

so 22/7x7^2= 22X7 = 154 sq. m

write down the iterated integral which expresses the surface area of =5cos3 over the triangle with vertices (-1,1), (1,1), (0,2):

Answers

The iterated integral which expresses the surface area of the function f(x,y)=5cos³(x) over the triangle with vertices (-1,1), (1,1), (0,2) is

∫₀¹ ∫(2-2y)/2 (y-1) 5cos³(x)dxy

How to write the iterated integral that expresses the surface area of a triangle?

The expression for calculating the surface area of the function f(x,y) over a triangle with vertices (a, b), (c, d), and (e, f) can be obtained through the iterated integral which is given by the formula:

∫b^dy∫(mx+n)y+p(x−x1)/y1−y2+c(x−x2)/y2−y3 1dxdy

Here,

m = d-f/c-e,n = (bf-ae)/c-e

,p = (y1-y2)(d-f)/(c-e)-(y2-y3)(b-d)/(a-c),

x1=a,x2=c,y1=b,y2=d,y3=f

.In this question, the surface area is required for

f(x,y)=5cos³(x) over the triangle with vertices (-1,1), (1,1), (0,2).

It means that the following values of (a,b), (c,d), and (e,f) are obtained from these three vertices

. Thus

a = -1,b = 1,c = 1,d = 1,e = 0,f = 2

We have to use the formula mentioned above to write the iterated integral for calculating the surface area.

Therefore, the iterated integral which expresses the surface area of the function f(x,y) = 5cos³(x) over the triangle with vertices (-1,1), (1,1), (0,2) is₀¹ ∫(2-2y)/2 (y-1) 5cos³(x) dxdy.

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Please help
Write the decimal as a fraction in lowest
terms: -2.013

Answers

Answer:

-2 13/1000

Step-by-step explanation:

Answer:

-2 13/1000

Step-by-step explanation:

Select the correct answer. Which logarithmic equation is equivalent to this exponential equation? 2,400=7,500 (10) ^ -x

Answers

The logarithmic equation that is equivalent to this exponential equation 2,400=7,500 (10) ^ -x is \(x = -log_{10} \frac{8}{25}\). Option C

How to solve for the equation

from the question we have:

2400 = 7500(10)⁻ˣ

we would have to transform the equation that we have here into the logarithm form.

This is written as:

\(\frac{2400}{7500}=10^-^x\)

from here we are to reduce the division

hence we would have:
\(10^-^x = \frac{8}{25}\)

-x = log₁₀8/25

then

\(x = -log_{10} \frac{8}{25}\)

option c is correct

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Select the correct answer. Which logarithmic equation is equivalent to this exponential equation? 2,400=7,500

1-What is 30% of 45?
2-What is 5%of 55.2

Answers

Answer:

13.5 and 2.76

Step-by-step explanation:

Solve the equation. First estimate using the perfect square closest to 54. Then use a calculator.d2=54Estimate.

Answers

Estimates are used to get the approximated value of an expression.

The estimate of \(d^2 = 54\) is 7The actual value is: 7.34846923

The equation is given as:

\(d^2 = 54\)

The perfect closest to 54 is: 49

So, the equation becomes

\(d^2 \approx 49\)

Take square of both sides

\(d \approx \sqrt{49\)

\(d \approx 7\)

The actual value is calculated as follows:

\(d^2 = 54\)

Take square roots

\(d = \sqrt{54\)

\(d = 7.34846923\)

Hence, the estimate is less than the actual value

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what is the equation ? 8-6|a+7|=-28

Answers

Answer:

Hopefully correct:-

Step-by-step explanation:

8-6(a+7)=-28

2(a+7)=-28

(a+7)=-28-2

(a+7)=-30

a=-30-7

a=-37

-7(x - 5) -3(4 - 5x) help me with this pleassee

Answers

Answer:

8x + 23

Step-by-step explanation:

-7(x-5) - 3(4-5x)

= -7x + 35 - 12 + 15x

= 8x + 23

Answer:

8x+23

Step-by-step explanation:

First let's distribute the terms

-7(x-5) =-7x+35

3(4-5x)=12-15x

now that the terms are distributed we can begin to further simplify

-7x+35-(12-15x)

combine like terms

-7x+15x +35-12

8x+23

There is your answer

Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?

Answers

Sarah's charges per hour for working during the week will be $9.5.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Admission to the museum is $8. Students receive a 30% discount. How much de
students pay? How much is the discount worth?

Admission to the museum is $8. Students receive a 30% discount. How much destudents pay? How much is

Answers

Out 8 dollars a 30 percent discount would be $2.4 dollar discount

Answer:

The students would be paying a low amount of $5.60. The 30% discount takes off $2.40 of the original price, so the discount is worth $2.40

fill in the blank. ___ are expanding the possibilities of data displays as many of them allow users to adapt data displays to personal needs.

Answers

Interactive visualizations are expanding the possibilities of data displays as many of them allow users to adapt data displays to personal needs.

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Select the correct answer from each drop-down menu.
Consider the equation below.
x^3 - 3x^2 - 4 = 1/x-1 +5
The solutions to the equation are approximately x =
0.91 and x= *blank*

Answers

Graphing this equation x³ - 3x² - 4 = 1/(x - 1) + 5 we get one solution of approximately x = 0.91 and another one x = 3.689.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, An equation of degree 3 which is,

x³ - 3x² - 4 = 1/(x - 1) + 5.

Now by graphing this equation we get one solution of approximately x =

0.91 and another one x = 3.689.

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Select the correct answer from each drop-down menu. Consider the equation below. x^3 - 3x^2 - 4 = 1/x-1

What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Answers

The solution of the system of equation is (-7, -2).

Given

The system of the equations;

\(\rm y^2 + x^2 = 53 \\\\y -x = 5\)

From equation 1

\(\rm y -x=5\\\\y = 5+x\)

Substitute the value of y in equation 1

\(\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2\)

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

\(\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2\)

Hence, the solution of the system of equation is (-7, -2).

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