If $3000 grows to $3540 after 3 yr, find the simple interest rate

Answers

Answer 1

Answer:

R = 6%

Step-by-step explanation:

We know that

SI = A - P

SI = 3540 - 3000

SI = $540

R = 100 × SI/P × T

R = 100 × 540/3000 × 3

R = 54/9

R = 6%

Answer 2

S O L U T I O N:

Here we've been provided with the information i.e

Amount (A) = 3540

Principal amount (P) = 3000

Time period (T) = 3 years

And we are asked to calculate simple interest rate (R) = ?

The standard formula to calculate is given by,

[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]

[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]

[tex]:\Rrightarrow\sf{S.I. =540}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]

[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]

[tex]:\Rrightarrow\sf{R = 6\%}[/tex]

The simple interest is 6%.

Related Questions

a Find the total surface area of a cuboid with dimensions 4cm × 3cm × 2cm.

B)If the length of the cube, 4cm, is doubled, what is the new surface area of the cuboid?

Answers

Answer:

24 millimeters  B) Area of one side= 4*4

=16

Total number of faces= 6

Then total area= area of one side* number of sides

=16*6

=96 square cm

Step-by-step explanation:

if z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank

Answers

[tex]z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill[/tex]

The value of z1/z2 is √18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).

What is complex number?

"A complex number is the sum of a real number and an imaginary number and it is of the form x + iy and is usually represented by z".

For the given situation,

z1= 3+3i and

z2= 7(cos(5π/9) + i sin (5π/9))

To divide the complex numbers, both should be in same form.

Convert z1 in polar form.

z is of the form x+iy, so, r=[tex]\sqrt{x^{2}+y^{2} }[/tex]

⇒[tex]r=\sqrt{3^{2}+3^{2} }[/tex]

⇒[tex]r=\sqrt{18}[/tex]

θ = [tex]tan^{-1}(\frac{b}{a} )[/tex]

⇒[tex]tan^{-1}(\frac{3}{3} )[/tex]

⇒[tex]tan^{-1}(1)[/tex]

⇒[tex]45[/tex]°

The polar form is of the form, z= r (cosθ + i sinθ),

⇒ z1 = [tex]\sqrt{18}[/tex] (cosπ/4 + isinπ/4)

The formula for dividing complex number is

z1/z2 = r1(cos θ1 + isin θ1) / r2(cos θ2 + isin θ2)

⇒ z1/z2 = r(cosθ + isinθ)

where, r = r1/r2 and θ = (θ1 - θ2)

z1/z2 = [tex]\sqrt{18}[/tex] (cos π/4 + isin π/4) / 7 (cos 5π/9 + isin 5π/9)

⇒ r = [tex]\sqrt{18}[/tex] / 7 and

θ = (π/4 - 5π/9 )

⇒ θ = (-11π/36)

cos(-θ) = cos θ

⇒cos( -11π/36 ) = cos ( 11π/36 )

sin(-θ) = -sin θ

⇒ sin ( -11π/36 ) = -sin ( 11π/36 )

Thus, z1/z2 = [tex]\sqrt{18}[/tex] / 7 (cos ( 11π/36 ) - isin ( 11π/36 ))

Hence we can conclude that the value of z1/z2 is

√18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).

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What is the percent of decrease from 80 to 68?

Answers

Answer:

-15%.

Step-by-step explanation:

Subtract 68 by 80 to get -12.

Divide -12 by the absolute value of 80 to get -0.15.

Multiply 100 to -0.15 to get -15.

Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M

Answers

The equation Q = 2 x M represents the relationship between question and time.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Zack takes a test, in which he answers at rate of 2 question per minute.

Also, Q represents questions

And M represents minutes.

According to given condition,

In 1 minute, Zack answers 2 question,

In M minutes, Zack answers 2 x M question,

Total questions presented by Q,

Q = 2 x M.

The required relationship for M and Q is Q = 2 x M.

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From a sample of 45 students exam scores, it was found that there was a mean score was 75 and a standard deviation of 5. Assume the distribution of exam scores is normal.

construct and interpret a 95% confidence interval for the true mean score.

Answers

Answer:

The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]

Step-by-step explanation:

Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.

Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]

Evaluate. 5.8 – 3.63 = ________

Answers

Answer 2.17
I Hope This Helps

If angle CAB= x+40, angle ACB=3x+10, angle CBD= 6x, what is angle CAB

Answers

Answer:
I’m pretty sure it’s B
Explanation:
Add 3x+10 + x+40 and set it equal to 6x. then when you solve for x you get 25
Hope this helps!

A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card

Answers

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS

Answers

Answer:

14/15

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.

A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?

Answers

First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.

Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!

The bus will travel 162.5 miles!

Hope this helps :)

Is the relationship between x and y proportional? Explain.

x y
5 25
6 30
7 35
8 40

Answers

Answer:

yes

Step-by-step explanation:

because

5/25=1/5

6/30=1/5

7/35=1/5

8/40=1/5

plz tag in brainlist...

the line passes through the point (4,7) and has a slope that is reciprocal of the slope of the line y=1/3x+2

point slope form and slope intercept form pls​

Answers

first you have to change 1/3 to -3

y=-3x+2

then you have to replace 2 with 'b' because you don't know the y intercept yet

y=-3x+b

then you substitute the point (4,7) into the equation

7= -3(4) + b

7= -12 + b

19 = b

y = -3x + 19 is the equation in slope intercept form

for point slope form:

-3x is still the slope and you replace x and y with the point 4,7

y- 7= -3 (x-4)

Line f is parallel to line g.which statements about line f and g is true

Answers

Answer:

Step-by-step explanation:

They have different y intercepts.

They have the same slope.

Here are 2 examples

y = 3x + 5

y = 3x + 19

The slopes are both three. The y intercepts are 5 for the top equation and 19 for the bottom equation.

They are both lines. That means their  domain is -infinity <x < + infinity

Their range is - infinity <y < + infinity.

We are excluding  examples like x = 3 and x = 5 and y = 1 and y = 3.

It is true that they both are parallel in both cases, but the discussion for each pair is a little different.

find the discriminant of -2x^2+8=x^2-28
show work please

Answers

Answer:

432

Step-by-step explanation:

Use the values of A, B, C to find the discriminant

log x √x + log √c c² = ?
[tex] log_{x}\sqrt{x} + log_{ \sqrt{c} } {c}^{2} = \\ [/tex]
please help me!!!!?;​

Answers

Given that

log √x (x) + log c² (c)

⇛ log x^1/2 (x) + log c² (c)

We know that

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

⇛ 1/2 log x (x) + 2 log c (c)

We know that

log a ( a) = 1

⇛ (1/2)(1) + 2(1)

⇛ (1/2)+2

⇛ (1+4)/2

⇛ 5/2

Answer:- log √x (x) + log c² (c) = 5/2

[(x) ,(c) , (a) represents the bases ]

Additional comment:

(a+b)(a-b) = a²-b²log a^m (b^n) = m/n log a (b)log a ( a) = 1

also read similar questions: if log^2(x)=log^2(a)+log^2(b)-log^2(c) then x is....

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simplify the following expression. log(x2) - log(x) A. log(x^2+x) B. log(x^3) C. log(x^2-x) D. log(x)....

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A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?

Answers

Answer:

here p=0.65 and n=100 hence standard error =(p*(1-.

Step-by-step explanation:

Find the digits in the tens place, in the hundredths place, and in the thousandths place for the following number 748.6291

Answers

Answer:

8 for tens, 9 for hundredths and thousandths is 1

Step-by-step explanation:

you can find the number by looking at the place of the numbers if it is tens look at the tens place which is the number eight as tens are 2 digit numbers

Apply distributive 15+22

Answers

Answer:37

Step-by-step explanation:

what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal

Answers

Answer:

322

Step-by-step explanation:

Triangle area = base*height)2Here, area = 23*28/2=322

Answer:

322 [tex]in^{2}[/tex]

Step-by-step explanation:

Hope this helped!


an expression that is equivalent to 10x - 8 +0.5(2x - 3)?
-

Answers

Answer:

......................

Integrate:Cos 7x/(1+sin**2(7x))​

Answers

Answer:

7x/1+7sin(2)x

Step-by-step explanation:

please help!! easy but i don't understand <3

Answers

in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]

I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height

Answers

Answer:

  18 square units

Step-by-step explanation:

When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.

Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...

  A = 1/2bh

  A = 1/2(6)(6) = 18 . . . . square units

_____

Alternate solution

If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.

The length of LK is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10

The distance to line LK can be found by writing the equation of the line LK in general form:

  4x -3y -7 = 0

Then the distance formula for point (x, y) is ...

  d = |4x -3y -7|/√(4^2 +3^2)

  d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6

Using the area formula with these dimensions gives ...

  A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units

Answer:

18 square units

Step-by-step explanation:

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A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 11 printers?

$381.99
$500.19
$606.10
$609.00

Answers

Answer:

$500.19 is the answer

Step-by-step explanation:

pls vote branliest

The total cost of 11 printers is $500.19.

Given that,

A retailer needs to purchase 11 printers.

The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.

We have to determine,

What is the total cost of 11 printers?

According to the question,

The first printer costs $58.

Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.

The cost of a second printer is,

= 0.95 × 58 = $55.1

The cost of a third printer is,

= 0.95 × 55.1 = $52.345

The cost of a fourth printer is,

= 0.95 × 52.345 = $49.727

The cost of a fifth printer is,

= 0.95 × 49.727 = $47.241

The cost of a sixth printer is,

= 0.95 × 47.241 = $44.879

The cost of a seventh printer is,

= 0.95 × 44.879 = $42.635

The cost of an eight printer is,

= 0.95 × 42.635 = $40.50

The cost of a nineth printer is,

= 0.95 × 40.50 = $38.478

The cost of tenth printer is,

= 0.95 × 38.478 =  $36.554

The cost of the eleventh printer is,

= 0.95 × 36.554  = $34.726

Therefore,

The total cost of 11 printers is,

= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.

Hence, The total cost of 11 printers is $500.19.

For more details refer to the link given below.

https://brainly.com/question/16048559

A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults

Answers

Answer:

C.24

Step-by-step explanation:

First multiply 8 by 24 this is so you know how much 24 adults would be. You will get 192 so next you need to subtract 192 from the total money 272 to get 80 and 80 should be how much all of the kids cost now to check and make sure there are 40 people divide 80 by 5 to get 16 which is the total number of kids no just add 16 and 24 together to get 40

What percent of 80 is 60

Answers

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

Solve 3 - x= -9.
O A. x= 6
O B. x= 12
O c. x= -6
O D. x=-12

Answers

Answer:

x=12

Step-by-step explanation:

you need the x alone so you substract 3 from both sides.

Then you have, -x= -12

You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.

x=12

The answer is B. 3 - x = -9
-x + 3 = -9
Subtract 3 from both sides of the equation. Simplify

Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5

Answers

Answer:

-35

Step-by-step explanation:

5(4)(-5) + -2(4)(-5) + (-5)²

= -100 + 40 + 25

= -35

Answer: -35

Step-by-step explanation:

5(4)(-5)+(-2)(4)(-5)+(-5)^2

-100+40+25

-35

On the 1st January 2014 Carol invested some money in a bank account.
The account pays 2.5% compound interest per year.
On 1st January 2015 Carol withdrew £1000 from the account.
On 1st January 2016 she had £23517.60 in the account.
Work out how much Carol originally invested in the account.

Answers

Answer:

didn't know how to workout iam only 3rd standard

Answer:

Step-by-step explanation:

bubble gum

Find the equation of the line passing through the point (−5,−9) and parallel to the line y=3x+2 .

Answers

Answer:

Root:(-⅗,0)

vertical intercept:(0,5)

Step-by-step explanation:

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