Philippa took out a $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50. Calculate the effective interest rate of this loan, to the nearest 0.01%

Answers

Answer 1

The effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Philippa took out an $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50.

Then the effective interest rate of this loan, to the nearest 0.01% will be

So, from the question the interest that is deducted = $860-$838.50 = $21.50

Now, I = Prt/100

So, t = 100 (I/Pr) = 0.42 years = 5months

therefore m = 5months

So, the effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.

I = Prt/100

Therefore, r = 100 (I/Pt) = 6.15%

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Related Questions

An engineer is using a polynomial function to model the height of a roller coaster over time x, as shown.
On a coordinate plane, a curve increases from quadrant 3 and crosses the y-axis at (0, 4). It then decreases and crosses the x-axis at (5, 0). It continues to decrease and then starts to increase and crosses the x-axis at (8, 0).
The engineer wants to modify the roller coaster design by transforming the function. Which represents 2 f (0.3 x minus 1) + 10, the modified design of the roller coaster?

Answers

Answer:

Step-by-step explanation:

the first thing you have to do is to get the x and the y axis and add them to then decrease that by o,5 and then you get f of which you multiply it by 2 adn you get your answer.

Answer:

The answer is A

Step-by-step explanation:

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
.
10
0
X 5 ?
12

Answers

Answer:

x is equal to 15.62 .......

h
w
Volume
V = lwh
If L =44, w = 21, and h = 20, solve for the surface area of the image shown

Answers

Answer:

4448 feet²

Step-by-step explanation:

Using the formula [tex]A = 2((l)x(w) + (l)x(h) + (w)x(h))[/tex] we can take the length, width and height and plug them in. [tex]A = 2(44x21 + 44x20 + 21x20)[/tex], solving this equation we get [tex]4448 feet^{2}[/tex].

5. While decorating her bedroom, Sandra spent the following amounts: {$29, $58, $15, $130, $75, $23} Calculate the mean absolute deviation to the nearest tenth. MAD= ​

Answers

Answer: 206

Step-by-step explanation: addion

a.
16. Which expression is equivalent to
4(b + 11)
a. 4b +44
b. 4b - 44
4b + 11
d. b + 44
C.

Answers

Answer: It would be 4b+44

Step-by-step explanation:

This is the distributive property! so a(b+c)=ab+ac

In this case–4b+44!

Answer:

A. 4b + 44

Step-by-step explanation:

To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.

4(b) + 4(11) = 4b + 44

Therefore, the correct option is A.

hope this helps!

List any three odd natural numbers and verify that each can be written in the form 2m - 1, where m is any natural number.​

Answers

Answer:

Step-by-step explanation:

13 = 2*6 + 1         (m = 6)

27 = 2(13) + 1

121 = 2(60) + 1

A square with a length of 4 inches is cut in half diagonally. ​ What is the area of each triangle formed by this cut? ​

Answers

8 sq inches!

You can come to this conclusion by finding that the area of your square is 16 sq. inches, divide that by 2 and you get 8 sq. inches!

The measure of an exterior angle of a triangle is always_____.

Answers

Answer:

The measure of an exterior angle of a triangle is always greater than the measure of either of the opposite interior angles of the triangle

sum of angles in a triangle ABC is 180

interior angles +exterior =180

Jim has 10 used books and 12 used DVD's to sell at a garage sale for $1.50 and $5.00 each respectively. Let x be the number of books and y be the number of DVD's Jim ends up selling. Which of the following systems of linear inequalities represents this situation if Jim wants to make at least $40.00?

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

The two rectangles are similar. Find X.

Answers

If the two rectangles are similar than The answer is C. X=9.6
[tex]\bold{ANSWER:}[/tex]
d. x = 9.6

[tex]\bold{EXPLANATIONS:}[/tex]

what is the equivalent to five and two tenths

Answers

Answer:

5 2/10 or 520%

Step-by-step explanation:

The answer to your question is: 5 2/10 or 520%

Which of the following equations will yield the volume of a triangular prism?

V = Bh
V = 2 B + Ph
V = lwh
V = 2 lw + 2 lh + 2 wh

Answers

Answer:

V = Bh

Step-by-step explanation:

The equations will yield the volume of a triangular prism is V = Bh.

Where,

V = Volume

B = Base

h = Height

Here are an example :

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A solar panel is divided into 8 equal pieces. If 2 pieces are damaged, which equation shows the fraction of the solar panel that is NOT damaged?


A
88 – 28 = 34

B
28 – 88 = 34

C
88 – 28 = 54

D
28 – 88 = 54

Answers

The equation that shows the fraction of the solar panel that is not damaged is 8 - 2 / 8 = 3 / 4

How to form an equation?

The solar panel is divided into 8 equal pieces. Two pieces are damaged.

Therefore, the equation that shows the fraction of the solar panel that is not damaged is as follows:

The amount damaged = 2

The amount not damaged = 6

Total panel = 8

Therefore,

8 - 2 / 8 =  6 / 8 = 3 / 4

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Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume of all the pans?

Answers

Answer:

4(7×7×2)

volume of all 4 pans is 392

Step-by-step explanation:

1 pan volume = 7×7×2= 98

4 pan volume = 98×4= 392

4(7×7×2)= 392

Answer:

392 i think

Step-by-step explanation:

i might be wrong but hope u get it right

hey can anyone help find the area pls

Answers

Answer:

114 cm^2

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2 * b*h (b: base, h: height)

The height here is given as 3.8 cm and base is 6 cm

1/2 * (3.8)*6 = 11.4

The area is presented in square units so the answer is 11.4 cm^2

How is this wrong? I'm confused​

Answers

Answer:

60m = t

Step-by-step explanation:

For " per minute ( 1 minute ) ", he can type 60 words.

For " m minutes ", he can type

m times 60

= m x 60

= 60m

Hence,

60m = t

Answer:

The answer would be B

Step-by-step explanation:

Since Miles can write 60 words PER minute. Per is a key work for multiplication. So it would be 60m = t instead of m/60 = t.

What is the range of function gif g(x) = -2/(x) + 1
OA. (-2, 0)
OB. (0,0)
OC. (-0,2)
OD. (-0,1)

Answers

The function g(x) is a rational function, and none of the options represent the range of the function g(x)

How to determine the range of the function?

The function is given as:

g(x) = -2/x + 1

The above function is undefined at point x = 0.

This is so because -2/x is undefined.

So, we have:

g(0) = -undefined + 1

g(0) = undefined

This means that the range of the function is:

(-infinity, 1) and (1, infinity)

None of the options represent the range of the function g(x)

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How do you solve it?

Answers

Step-by-step explanation:

Is there any data given abour the figure? And actually, what exactly do you need to solve?

An rectangular water tank has a base area of 56 sq. ft. and a height of 4 ft. Find its volume in cubic feet.


No spam answers please

Answers

Answer: 224 cubic feet

Step-by-step explanation: If the base of the tank is 56 sq feet in area then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.

Grace bought a season pass to galactic quest amusement park last summer. With the pass, she got 4 visits to the park at a discounted rate. She paid an additional $25 to upgrade her pass to have access to the arcade area. Grace spent a total or $261

Which equation can grace use to find x, the discounted rate for each park visit? ​

Answers

Answer: 59$

Step-by-Step Explanation:

Let the discounted rate be ‘x’
No. of visits = 4
Total Amount for the visits = 4 * x = 4x
Additional cost = 25$
Total Amount = 261$

Therefore,
= 4x + 25 = 261
= 4x = 261 - 25 = 236
=> x = 236/4 = 59

Therefore, x = 59
Hence, discounted rate = 59$

When clothing or garments are displayed on a sales floor, the majority of the price goes to?

A. Seamstresses/Workers who sew the clothes

B. Manufacturing Companies

C. Pay for materials

D. Retailers

Answers

In totality the majority of the price is goes to manufacturing companies.

What is Selling?

The selling is the process of giving the manufactured product to the public at some cost. In the clothing or garments industry, the product will be a lot of raw fabric or ready-made clothes like shirts and T-shirts.

Here the manufacturing companies give their products in the lot to the wholesalers and the retailers the margin on each product for the retailers is high but the quantity is less.

Similarly, the margin for the manufacturing companies is less but the quantity is very high or they sell in the Tons or more so they earn more as compared to the others.

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how do i solve?and what is the answer?

Answers

Answer:

10m

explanation

[tex]looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m[/tex]

hope this helps.please rate and mark brainliest!!!

NO LINKS!! Please help me with this problem 6a​

Answers

[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.

[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].

Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.

The final equation will be  [tex]f(x)=7|x+2|-6[/tex] where:

a = 7

h = 2

k = 6

Answer:

7(x + 2) - 6

Step-by-step explanation:

a(x - h) + k

the h shift it right or left where a negative number is right and the positive is left

- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2

k shifts it up or down

The student council is planning the school carnival. Each tcket costs 2.50$. Explain how to write an equation that represents this scenario. Let x represent the number of tickets sold, and y represent the total amount of money raised

Answers

Answer:

Step-by-step explanation:

Let x represent the number of tickets sold, and y represent the total amount of money raised. Since each ticket is $2.50, the total amount of money raised is equal to $2.50 times the number of tickets. The equation would be y = 2.50x.

1.
Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π, in^3?. One day, his sink
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in, and a height of 6 in. How many cups of water must Anthony scoop
out of the sink with this cup to empty it? Round the number of scoops to the nearest whole
number. Show all your work.
(b) One cup has a diameter of 6 in, and a height of 6 in. How many cups of water must he scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.Show all your work

Answers

Answer:

a) 27
b) 19

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000/3[tex]\pi[/tex] or 1000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Find the surface area of isosceles trapezoidal prism given the measures shown.

Answers

The surface area of the parallelogram based prism is 1548 units squared.

Surface area of a parallelogram based prism.

The prism has 2 parallelogram base and 4 rectangular faces.

Therefore,

surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces

Therefore,

surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)

surface area of the prism = 2(204) + 2(247) + 2(323)

surface area of the prism =  408 + 494 + 646

surface area of the prism = 1548 units²

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The 52-week, or 1-year, low is stated as $11.28, and the 52-week high is $23.57. We can tell that the current stock price is somewhere in the middle at $14.61.


As an investor, do you think Delila should buy this stock?

Or, if she already owned stock in this company, would you advise she sell the stock?


Choose one of these two scenarios, and write three to four sentences about your advice. Use information from the data display to justify your decision.

Answers

Yes k think delila should buy this stock.

Answer:

Speaking as an investor, this stock isn’t a good buy. There appears to be too much fluctuation in prices for the year, and it’s difficult to tell from this information whether any growth is expected on this investment for the long term.Speaking as an owner of this stock, it might not be the right time to sell. It depends on whether other opportunities are waiting. There doesn’t appear to be a trend of decrease, so it’s possible there will be more growth in the future to help cover the selling and purchase of another stock. Currently, the stock appears somewhat safe, so it would be better to be patient and wait for change.

Step-by-step explanation:

SAMPLE ANSWER!!!!

Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.

Answers

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Minimum = 3Domain = all real numbersRange : y ≥ 3

A group of people were asked if they had run a red light in the last year. 469 responded "yes", and 484 responded "no".

Find the probability that if a person is chosen at random, they have run a red light in the last year.

Answers

First, you want to know the total number of people surveyed, so you add the “yes” and “no” group together. That will be 953.

To find the percent, or probability, of people that said yes, you take that number and divide it by the total. So 469/953. And then multiply that number by 100 and you’ll get 49.2%. So there’s a 49.2% chance that person would have run a red light.

What is the value of y?

Answers

Answer:

Step-by-step explanation:

Remark

The value of the y can be found by using the Geometric Mean.  To use the said mean, you must compare parts of one triangle to parts of the second triangle. In this case, the small triangle containing boy 4 and y, must be compared to the triangle use y and 12

Formula

This translates to

4 / y = y/12

Explanation. The two triangles y and 4 and y and 12 are similar. The short side on the small right triangle on the left is 4. The second longest side on the same triangle is y.

In the triangle containing y and 12 The short side is y and the second side length is 12. You have to read this a couple of times to get the meaning of the two ratios.

Solution

4/y = y / 12                    Cross multiply

y^2 = 4 * 12

y^2 = 48                       Take the square root of both sides.

√y^2 = √48

y = √2 * 2 * 2 * 2 * 3

y = 2 * 2 * √3

Answer

y = 4√3  

Answer:

y = 4√3 y = 4√3

Step-by-step explanation:

i hope it's help

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