Peoples Bank offers 8% compounded continuously on CDs What amount invested now grow to 100,000 in 25 years Hint the continuous compounding formula

Answers

Answer 1

Given:

Rate of interest = 8% compounded continuously.

Amount = 100,000

Time = 25 years

To find:

The principal value.

Solution:

Formula for amount after continuous compound interest:

[tex]A=Pe^{rt}[/tex]

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]A=100000, r=0.08, t=25[/tex] in the above formula, we get

[tex]100000=Pe^{0.08(25)}[/tex]

[tex]100000=Pe^{2}[/tex]

[tex]\dfrac{100000}{e^{2}}=P[/tex]

[tex]\dfrac{100000}{7.389056}=P[/tex]

On further simplification, we get

[tex]P\approx 13533.528[/tex]

Therefore, the amount 13533.528 is invested.


Related Questions

If A=(prime number less than 10)list the element of set A and find n(A)​

Answers

A=(2 3 5 7)
N(A) =4


( sorry I need the points)

[tex]\sqrt[3]{x+1} =2x+2[/tex]

Answers

the answer is down below

Fill in the table to explore the graph.
Miles Walked by Alonso
" Time (hours) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Miles Walked
6
V
16
12
Miles
8
4
X
1
4
3
Time (hours)
time

Answers

Answer:

Step-by-step explanation:

so you have divide  ok by my  and divide 5x1

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D

Step-by-step explanation:

we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.

area of base=1/2×6×8=24 mi²

volume=base area ×height

=24×8

=192 mi³

Answer:

D

Step-by-step explanation:

. If a = 120°, find the measure of angles b, c and d.
Explain your reasoning.

Answers

∡b is a vertical angle to ∡a and therefore a twin, and we know that ∡a = 120°, thus since ∡b = ∡a, ∡b = 120° as well.

a full circle has a total of 360°, ∡d and ∡c are vertical angles, namely two angles across from each other at a junction, and therefore ∡d = ∡c.

∡a + ∡b is 120° + 120° thus 240°, since a circle has a total of 360°, 360 - 240 = 120, so the other two angles pick up that slack and divide it among each other evenly, 120/2 = 60, so ∡d = ∡c = 60°.

A number added by 7 is the same as that
number times four minus eleven.
Translate into an equation

Answers

Answer:

[tex]x+7=4x-11[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

A number added by 7 is the same as that number times four minus eleven.

A number added by 7 ⇒ [tex]x+7[/tex]

Is the same as ⇒ [tex]x+7=[/tex]

The number times four ⇒ [tex]x+7=4x[/tex]

Minus eleven ⇒ [tex]x+7=4x-11[/tex]

I hope this helps!

2 cm = 7.5 m in the drawing the mall is 8.6 cm tall how tall is the actual mall

Answers

Step-by-step explanation:

here's the answer to your question

Please help!!!!!!!!!!​

Answers

Answer:

b) 7 (1, 2,3,5,7,11,13)

c) 0

d) 5

e) 8

A shopkeeper fixed the marked price of his radio to make a profit of 30 %. Allowing 15 % discount on the marked price, the radio was sold. What percent profit did he make? ​

Answers

Answer:

10.5 %

Step-by-step explanation:

Here .

let the Cost Price be 'x'

the..

by the question..

the marked price was fixed to make 30% profit

then..

the marked price will be

x+ 30% of x

= x + 30/100 × x

=x+ 0.3x

=1.3x

soo .. the marked price is 1.3x

now.. after allowing 15% discount..

the selling price will be

1.3x - 15% of 1.3x

= 1.3x - 0.195x

= 1.105x

thank you...

plzz mark me brainliest now

now..

profit made = 1.105x-x

= 0.105x

soo .

in percentage..

profit percent = profit/cp × 100%

= 0.105x/x × 100%

= 10.5 %

My hw says, "suppose E has a coordinate of -1 And EG= 7" what is the possible coordinate of G?​

Answers

Answer:

-8,6

Step-by-step explanation:

from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6

Answer: Wouldn’t the possible coordinate of G be 8?

Step-by-step explanation:

If E is -1 and we know that EG combined is 7, we can deduce that you have to have an 8 to get 7 because 8 + -1 = 7 or E + G = EG

How many integers $n$ satisfy $-4n\ge 12$ and $n+5>2$??

Answers

-4n ≥ 12   ==>   n ≤ -3

n + 5 > 2   ==>   n > -3

But n cannot be both less than/equal to -3 AND greater than -3, so there are no integers n that satisfy these inequalities.

Answer: 0

Step-by-step explanation:

Find slopes of the given points .


[tex]\Large\star\tt {(5,6)\atop (3,-2)}[/tex]
[tex]\Large\star\tt {(-3,4)\atop (4,-7)}[/tex]


Spam free answers required .

Well explained answer will be marked as brainliest .​

Answers

Answer:

Use the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

The first one:

m = (-2 - 6)/(3 - 5) = -8/-2 = 4

The second one:

m = (-7 - 4)/(4 - (-3)) = -11/7

Answer:

Step-by-step explanation:

1)  (x₁,y₁) = (5 , 6)   &  (x₂,y₂) = (3 , -2)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-2-6}{3-5}\\\\=\dfrac{-8}{-2}\\\\=4[/tex]

2) (x₁,y₁) = (-3, 4)   &  (x₂,y₂) = (4 , -7)

[tex]Slope= \dfrac{-7-4}{4-[-3]}\\[/tex]

           [tex]= \dfrac{-11}{4+3}\\\\=\dfrac{-11}{7}[/tex]

Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's height

pls help​

Answers

Answer:

8% out of 175 = ( 8 ÷ 100 ) × 175 = 14

175 cm - 14 = 161 cm

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

Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2

Answers

Answer:

a

Step-by-step explanation:

cause if 72 book were divided by 18 kids they would hav all gotten 4 books each

so a is the answer cause it gives youthe answer 4

Answer: a. 8/3 divided by 6/9

Step-by-step explanation: I got this question on my test

How do I do question 2?

Answers

Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

how much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount

Answers

Answer:

Rs 1155.3

Step-by-step explanation:

1136 * .1 = 113.6

1136 - 113.6 = 1022.4

1022.4 * 1.13 = 1155.3

Someone plz round 6.675 to the nearest hundredth

Answers

Answer:

6.68

Step-by-step explanation:

To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.

6.675 rounded to the nearest hundredth = 6.68

Find the distance between the two points.
(5,5)
(2.2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

[tex]{18}[/tex]

Step-by-step explanation:

[tex] \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } [/tex]

[tex] = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex] = \sqrt{9 + 9} [/tex]

[tex] = \sqrt{18}[/tex]

Answered by GAUTHMATH

Brainliest if you help me ….

Answers

-15 is the answer your welcome

The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.​

Answers

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

➯Question:

The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.

Answer:

Both numbers are 25 and 400.

Step By Step Explanation:

Given that:

The product of two numbers is 10000.

One number is 16 times the other number.

To Find:

Both numbers?

Solution:

Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.

According to the Question :

[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]

Hence,

1st number = n = 25

2nd number = 16n = 16 × 25 = 400

∴ Hence, both numbers are 25 and 400.

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

(25, 400) or (-25, - 400)

Step-by-step explanation:

Let the numbers be x and y.

We have:

y = 16xxy = 10000

Substitute y and solve for x:

x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25

Then y is:

y = ± 25*16 = ± 400

The numbers are:

25 and 400 or -25 and - 400

Which of the following numbers is between 0.08 and 0.4?
(A) 0.019
(B) 0.009
(C) 0.109
(D) 0.91
(E) 0.409

Answers

Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

how to change mixed fraction into improper fraction and improper to proper fraction easy way

Answers

To convert a mixed fraction to an improper fraction, follow these steps:

Step-by-step explanation:

Multiply the whole number part by the fraction's denominator.Add that to the numerator.Then write the result on top of the denominator

Hope this helps you ❤️

MaRk mE aS braiNliest ❤️

Answer with Step-by-step explanation:

To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.

For example:  4 1/5 = (5*4)+1/5=21/5

To change improper into proper mixed fraction,

Divide the numerator by denominator and write the remainder on numerator

For example: 7/2= 3 1/2

Please help! Geometry 9th grade

Answers

Answer:

69.3

Step-by-step explanation:

if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3

Pls help in this maths problem

Answers

Answer:

SORRY I don't know second number . I did only first .

What is the area of trapezoid DEFG?
PLEASE SO THIS ASAP!!!
MUST SHOW WORK

Answers

Answer:

Area = 35 cm^ 2

Step-by-step explanation:

Area = 1/2(a+b) x h

1/2 (5+9) x 5

= 35 cm^ 2

Answered by G a u t h m a t h

Answer:

A = 35  cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height between the bases and b₁, b₂ are the bases.

Here h = 5 , b₁ = 9 and b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (9 + 5) = 2.5 × 14 = 35 cm²

need help with this!!!

Answers

Answer:

I say the fourth one just because

Geometry, please answer question ASAP

Answers

9514 1404 393

Answer:

  D.  5.4

Step-by-step explanation:

The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.

  SU = UP/2 = 3.6/2 = 1.8

The length of PS is ...

  PS = PU +US = 3.6 +1.8

  PS = 5.4

__

Additional comment

If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.

On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non se
answered correctly and 5 points for each of the 6 short response questions she answered correctly
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.

Answers

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points :

From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:

(3 × 18) ...1

If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered

correctly, the total point made will be expressed as;

(5×6) ... 2

Total score for an additional 4 points for the bonus question will be "4"

Expression for her total score will be the sum of all the expression above as thus:

(3×18) + (5×6) + 4

Taking the sum, her score will be:

= (3×18) + (5×6) + 4

= 54 + 30 + 4

= 84 + 4

= 88 points

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points

Learn more about sum here: brainly.com/question/16397188

HELLLPPPPPPPPP!!!!!!

Answers

ANSWER:

9) If the season is summer, then it also does not snow.

10) If you live in Salem, then you also live in Oregon.

(I’m not sure if I formatted these correctly in sentences, but hopefully you can see the pattern!)

I need help I don't understand it.

Answers

These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.

So,

8x - 12 = 6x + 8

=> 8x - 6x = 8 + 12

=> 2x = 20

=> x = 20/2

=> x = 10

So, the value of x is 10.

8x-12=6x+88x-6x=8+122x=20x=20÷2x=10

please mark this answer as brainlist

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