A sum of money amounts to 10000 after 5 years and 15000 after 8 years at the same rate of simple
mterest. Find the rate of interest per annum.​

Answer: The common number is 26.

Step-by-step explanation:

We know that the n-th term of a sequence is:

aₙ = 3*n^2 - 1

And the n-th term of another sequence is:

bₙ = 30 - n^2

Remember that in a sequence n is always an integer number.

We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:

aₙ = bₓ

This is:

3*n^2 - 1 = 30 - x^2

Let's isolate one of the variables, i will isolate n.

3*n^2 = 30 - x^2 + 1 = 31 - x^2

n^2 = (31 - x^2)/3

n = √( (31 - x^2)/3)

Now we can try with different integer values of x, and see if n is also an integer.

if x = 1

n = √( (31 - 1^2)/3) = √10

We know that √10 is not an integer, so we need to try with another value of x.

if x = 2:

n = √( (31 - x^2)/3) = √(27/3) = √9 = 3

Then if we have x= 2, n is also an integer, n = 3.

Then we have:

a₃ = b₂

The common number between both sequences is:

a₃ = 3*(3)^2 - 1 = 26

b₂ = 30 - 2^2 = 26

Answer:

its online survery tool

Answer:

nice dude keep it up ☺️

Answer:

80%

Step-by-step explanation:

Please brainlist me

Answer:

80%

Step-by-step explanation:

160 ÷ 200 =  0.8

0.8 x 100 = 80

add percentage sign 80%

Hope that helps

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

Answer:

-5y

Step-by-step explanation:

combine them -4y +(-1y)

Answer:

1/4 is 0.25

1/25 is .04

1/6 is 0.16

1/3 is 0.3

Answer:

9.04-6.98=2.06

Answer:

Exactly 1 solution

Step-by-step explanation:

When you graph it, you'll see that both lines intersect at 1 point in time only

Answer:

C = 5b + 3m

Step-by-step explanation:

Answer:

5b + 3m

Step-by-step explanation:

If b represents the cost of a book, then 5b will represent the cost of 5 books

If m represents the cost of a magazine, then 3m will represent the cost of 3 magazines.

To create an expression for the total cost, add these terms together:

5b + 3m

So, the expression for the total cost is 5b + 3m

Answer:

D

Step-by-step explanation:

Answer:

x=68

Step-by-step explanation:

A²+b²=C²

side a:60²=3600

side b:32²=1024

3600+1024=4624

side c=√4624=68

Answer:

Step-by-step explanation:

20

Answer:

you need to repost your question bcos it's not understandable

Answer:

=39x2+26x−2 Your Welcome !!!

Answer:

128.2

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:

[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]

Answer:

Simplify the expression.

2n⁵−2n⁴+3n+3

Answer:

$0.231

Step-by-step explanation:

Given data

P= $77

r= 16%

t= 6 months= 0.5 years

For simple interest

A= P(1+rt)

A=77(1+0.16*0.5)

A= 77(1+0.08)

A= 77*1.08

A= $83.16

For compound interest

A=P(1+r)^t

A= 77(1+0.16)^0.5

A= 77(1.16)^0.5

A= 77*1.077

A= $82.929

The difference is

=83.16- 82.929

=$0.231

Answer:

24

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Tan is opposite/adjacent

The side opposite to the angle 56 is 26.

If it asks for the bottom one, it is x.

Answer:

Answer:

well here's the def. maybe this can help you sum up answer  

*polynomial

[ pol-uh-noh-mee-uhl ]SHOW IPA

adjective

consisting of or characterized by two or more names or terms.

noun

Algebra.

(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.

a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.

Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.

a polynomial name or term.

Biology. a species name containing more than two terms.

:

Answer:

one solution! because the second one is the exact same solution once you simplify! :)

Answer:

66

Step-by-step explanation:

This was the formula that I used V=14h √(a+b+c)(b+c−a)(c+a−b)(a+b−c)

Hope this helps! :)

9514 1404 393

Answer:

  B, D, F

Step-by-step explanation:

The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...

  7-4 < x < 7+4

  3 < x < 11

The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.

Answer:

b

Step-by-step explanation:

Answer:

y=3.5x+4; A(_,5) B(10,_)

Step-by-step explanation:

.Find point A: Substitute y value given, solve for x:

.

5=3.5x+4

1=3.5x

1/3.5=x

0.2857=x

.

Point A=(0.2857,5)

.

Find point B: Substitute x value given, solve for y:

.

y=3.5(10)+4

y=35+4

y=39

.

Point B=(10,39)

.

Slope:

In slope intercept form y=mx+b, m=slope

.

Slope=m=3.5

.

The others are done the same way.