If the simple interest on a sum of money at 5% per annum for 3 years is $
1200, then the compound interest on the same sum for the same period
at the same rate will be .........
*​

Answers

Answer 1

Answer:

$1207.96

Step-by-step explanation:

The accumulated value for simple interest is defined by the following formula:

FV=PV(1+it)

we have (where x is the present value or PV)

1200= x(1+.05*3)

Solve for x

1200=1.15x

x=1043.478261

We now need to use the equation for annually compounding interest

[tex]FV=PV(1+i)^t[/tex]

We have

[tex]1043.4782(1+.05)^3\\1207.956522[/tex]

which rounds to

$1207.96


Related Questions

If you know that angles a and b are
vertical, what equation could you
use to represent this angle
relationship?

Answers

Answer:

Step-by-step explanation:

∡a = ∡b

Helpppppppppppppppppppppp

Answers

Answer:

8.04 units

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, while profits increased
$7.5 million per year. Select the correct graph of this function

Answers

Answer:

Step-by-step explanation:

The answer is: There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

hope this help and srry if wrong

Can y’all solve it using geogebra something like that

Answers

The first 10 pounds is $2 per pound so $2 x 10 = $20

She wants to pick 40 pounds so after the first 10 pounds she needs 40-10 = 30 more pounds.

The cost for those are $1 per pound so 30 x $1 = $30

Total cost = $20 + $30 = $50 for 40 pounds.

Find the 50th term of this arithmetic sequence
6, 13, 20, 27 ...​

Answers

Answer:

349

Step-by-step explanation:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

n = 50   [tex]a_{1}[/tex] = 6    d = 13 - 6 = 7

[tex]a_{50}[/tex] = 6 + (50 - 1)(7)

    = 6 + 49(7)

   =  6 + 343

   = 349

Answer:

formula as mentioned above...

Step-by-step explanation:

N=50,a=6,d=difference between no. that is 8

so,

x50=6+8(50-1)

x50=6+8(49)

x50=6+392=398 Answer

hope it helps....

please write 50 on the correct position of N as drawn in picture

PLEASE ANSWER TODAY ASAP THIS IS ALREADY OVERDUE WILL GIVE BRAINLIEST.
The coordinates of point A are (6, 2).

The coordinates of point B are (2, 6).

AB¯¯¯¯¯is transformed to form ​A′B′¯¯¯¯¯¯¯​, shown in the graph.



What is the transformation of ​AB¯¯¯¯¯​ that results in ​A′B′¯¯¯¯¯¯¯​?

Drag and drop the answers into the boxes to complete the sentence.

​AB¯¯¯¯¯​ is Response area Response area to form ​A′B′¯¯¯¯¯¯¯​ .
A graph with a line between points A begin ordered pair -6, 2 end ordered pair and B begin ordered pair -2, 6 end ordered pair

Answers

Answer:

it is reflected across the Y axis

company that manufactures a popular multivitamin wanted to determine whether their multivitamin had any side effects. For its initial study, the company chose 2000 individuals to take one of their multivitamin tablets per day for one year. Scientists from the company surveyed the participants to determine whether they had experienced any side effects. The greatest problem with this procedure is that A) only one brand of vitamin was tested B) the study lasted only one year C) the sample size was not large enough D) no control group was used

Answers

Answer:

Option D

Step-by-step explanation:

In this experiment, It would have been scientific to compare the result of the experiment on the experimental group(taking the multivitamin) with the control group (Taking no medicine)

Without a control group, a defined impact of multivitamin over the experimental group cannot be deduced.

Hence, option D is correct

BAC ~ DEC

x = ___ units​

Answers

Given:

[tex]\Delta BAC\sim \Delta DEC[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\Delta BAC\sim \Delta DEC[/tex]

The corresponding parts of similar triangles are proportional.

[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]

On substituting the values, we get

[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]

[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]

[tex]3(3x+5)=2x(7)[/tex]

[tex]9x+15=14x[/tex]

Subtract [tex]9x[/tex] from both sides.

[tex]15=14x-9x[/tex]

[tex]15=5x[/tex]

[tex]\dfrac{15}{5}=x[/tex]

[tex]3=x[/tex]

Therefore, the value of x is 3 units.

A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to find the original price.

Answers

Answer: 341.4286

Step-by-step explanation:

If the bill for dinner at a restaurant is $65.00, what is the total bill with a 15% tip?​

Answers

Answer:

$74.75 is the total bill.

The answer would be $83.18 in U.S. Dollars.

65. 00 + 15% ($18.18) = $83.18


HELP PLZZZZZZZZ
1 pt. 5) What is the y-intercept for the equation: 5x – 3y = 30
y = -10
y = 5
y = 30
y = -3

Answers

Answer:

Hi! The answer to your question is A. [tex]Y= -10[/tex]!

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!!

Stay Safe!!

- Brooklynn Deka

In AMNO, n = 78 cm, o = 14 cm and ZM=12°. Find the length of m, to the nearest
centimeter.

Answers

Answer:

64

Step-by-step explanation: Delta math

can someone help me with this really quick

Answers

Answer:

1. 2 6/8

2. 1 5/6

3. 3/4

4. 3 7/10

5. 2 7/8

6. 6 5/6

7. 5/7

8. 3 6/10

9. 6 2/3

10. 8 3/4

Step-by-step explanation:

Given two side lengths of 15 units and 9.5 units, with a nonincluded angle of 75°, can you draw no triangles, only one triangle, or more than one triangle

Answers

Answer: More than one

Step-by-step explanation: You can do the two side lengths then add the angle any corner giving you a minimum of 3 triangles.

PLEASE HELP!!! I WILL GIVE 30 POINTS!

Write a verbal statement that represents the expression h ÷ 8.


My teacher told me to write out the words for the symbols and numbers.

Please help.

Answers

Answer:

If I have  "h" amount of cookies and I have 8 friends with me, How much would each friend get?

Step-by-step explanation:

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

x=1/3

hope this helps!!! :)

5. Jodie and her two children go to a football match. Ticket prices are
$15.30 for an adult and $6.50 for a child. Calculate the total cost of the
three tickets.​

Answers

Answer:

$28.30

Step-by-step explanation:

= $15.30 + ( 2 × $6.50 )

= $15.30 + $13

= $28.30

Find the volume of the figure

Answers

Answer:

A = 189.25

Step-by-step explanation:

A = πr²

15 x 10 = 150

5 x 5 x 3.14 = 78.5

78/2 = 39.25

You divide by 2 because it's half of a circle.

150 + 39.25 = 189.25

Let me know if this helps!

Which numbers are solutions to the equation 30=x2
? Select all that apply.

x=15

x is equal to 15
x=30−−√
x is equal to square root of 30
x=900
x is equal to 900
x=−15
x is equal to negative 15
x=−30−−√
x is equal to negative square root of 30
x=−900

Answers

Answer:

x = +√30

Step-by-step explanation:

Please write 30 = x squared as 30 = x^2.

If x^2 = 30, there are two solutions:  x = +√30 and x = -√30.

Several possible answers are given.    x=30−−√ is closest to the correct one, but must be written as x = √30.  Please ask someone how to find the "√" operator in Brainly.  Or, just write "sqrt(      )" instead.

A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?

A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5

Answers

Answer:

L = 0.2w + 5

Since there is already 5 miles, your adding 0.2w. Its not 0.2L because that is the total length and its the sum.

Answer:

L= 0.22+5

I did packet

Correct answer and detailed explanation pls!!!

Answers

Answer:

Step-by-step explanation:

Answer:

-15 < x

Step-by-step explanation:

Carole worked her 40 regular hours last week plus 6 overtime hours at the time-and-a-half rate. Carole's regular hourly rate is $11.50. How much did Carole get paid last week?

Answers

Answer:

$563.50

Step-by-step explanation:

The computation of the amount that should be paid to Carole last week is shown below

Since she worked 40 regular hours and 6 overtime hours

For regular hours, the wage rate is $11.50

And, for overtime it would be

= $11.50  + $11.50 ÷ 2

= $11.50 + $5.75

= $17.25

So, the amount that should be paid is

= 40 × $11.50 + 6 × $17.25

=  $460  + $103.50

= $563.50

Solve by elimination:
4x + 4y = 4

Answers

Answer:

x=−y+1

Step-by-step explanation:

Let's solve for x.

4x+4y=4

Step 1: Add -4y to both sides.

4x+4y+−4y=4+−4y

4x=−4y+4

Step 2: Divide both sides by 4.

4x        =    −4y+4

4          =        4

x=−y+1

Hope this helps ~

please help with simplifying​

Answers

Answer:

1. 9/16

2. 3/25

3. 1

Step-by-step explanation:

Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?

A. -7
B. -3.6
C. -4.6
D. -5

Answers

The answer for this is -3.6 you need to add them together then subtract!

-6 + 7k = -7(1 - k) solve this equation with 1 answer please

Answers

Answer: 13

Step-by-step explanation:

-6 + 7k = -7(1 - k)

(-7 x -1 = 7)

(-7 x -k = 7)

-6 +7k = 7+7k

7k-7k = 6+7

k = 13

( 0 always equals to the pronumeral given

Find the area of the composite figure 9 ft 7 ft 26 ft

Answers

Answer:

24

Step-by-step explanation:

#8

Please help
Extra 100 points
And brainliest

Answers

Answer:

When x < 0 (Option 1)

Step-by-step explanation:

The answer to your question would be Option 1, or when x < 0. When you create a table with f(x) and g(x), they're only ever equal when x = 0, which is when f(x) and g(x) both equal 1. When the numbers go into negatives for each equation, f(x) becomes exponentially bigger. Making f(x) > g(x) true when x < 0.

Hope this helps!

Reasonsssssssss.....

Answers

Answer:

In a triangle, sides opposite of congruent angles are congruent

8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours

Answers

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

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