Need help with explicit rule. Please help.

Need Help With Explicit Rule. Please Help.

Answers

Answer 1

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1


Related Questions

Please answer as soon as possible.

Determine whether the quantities in each table represent a proportional relationship. If yes put the constant rate otherwise put no

Answers

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

What is the distance between the points? Round to the nearest tenth if necessary

Answers

Answer:

5

Step-by-step explanation:

Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]

[tex]3^{2} + 4^{2} = c^{2}[/tex]

9+16=25

[tex]\sqrt{25}[/tex]=5

PLS HELP ASAP
Use a graph to solve the following
243=3^x+^3

Answers

Answer:

They all have equal bases.

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

x=5

hope this helps !!:)

Step-by-step explanation:

Select ALL the correct answers.

Which equations have a greater unit rate than the rate represented in the table?

Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x

Answers

Answer:

y = 5/7 x

y = 7/9 x

y = 3/4 x

Step-by-step explanation:

Firstly, let us get the unit rate on the table

That would be;

y/x = 2/3

y = (2/3)x

so the fractions greater than 2/3 will

be our answer

3/4 is greater

7/9 is greater

5/7 is greater

what’s the value of x??

Answers

Answer it 22

Step-by-step explanation:

Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!

Answers

Answer: (16/25)

Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.


A.
n + n + 1 = 59; n = 29; n + 1 = 28

B.
n + n + 1 = 59; n = 29; n + 1 = 30

C.
n + n + 1 = 59; n = 30; n + 1 = 31

D.
n + 2n = 59; n = 19; 2n = 38

Answers

Answer:

B

Step-by-step explanation:

n+(n+1)=59

2n=59-1=58

n=58/2=29

n+1=29+1=30

B




Like the other person said

Please help me with these....or one and explain how to put into calculator please.....

Answers

Answer:

1. x= -20

2. x= 6.33

Step-by-step explanation:

Question 1:

10=7

x=x+6

(Cross multiply)

10(x+6)=7x

10x+60=7x

10x-7x=-60

3x=-60

x=-60/3= -20

Question 2:

6=4

8=x-1

(Cross multiply)

6(x-1)=4×8

6x-6=32

6x=32+6

6x=38

x= 6.33

hope it helps! please mark me brainliest

thank you! have a good day ahead

1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7

First solve for x.

Answers

Answer:

2x + 7= 4x + 17

x=−5

PLS help me
if you get it right i will give brainliest

Answers

Answer:

7.21

Step-by-step explanation:

Solution,

Given,

base = 4

perpendicular = 6

hypotenuse = ?

Now,

By the formula of Pythagoras Theorem,

h^2 = p^2 + b^2

h^2 = 6^2+4^2

h^2 = 36+16

h = sqrt ( 52 )

h = 7.21

Therefore, the value of x (hypotenuse) is 7.21 .

Answer:

x= 7.21///no

Step-by-step explanation:

4^2 + 6^2 = 52

take the square root which equals 7.21

///

Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.

If 8-1= 7, does 8-1-2=7 - 3? Why or
why not?
Helpp ASAP

Answers

No, because 8-1-2 is literally 5 and 7-3 equals 4 so no because the answer don’t match

I need help please

4d + 8

Answers

Answer:

4  ( + 2 )

Step-by-step explanation:

Answer:

i am going to assume 4d+8=0 so 4d=-8 and  d=-2

Step-by-step explanation:

Find the value of x


BRAINLEST I SWEAR TO GOD


What is the root ?!

Answers

9514 1404 393

Answer:

  x = √70

Step-by-step explanation:

The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...

  x/(7+3) = 7/x

  x^2 = 7(10) = 70

  x = √70

_____

Additional comments

This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.

The same relation holds for BC:

  BC = √(CD·CA)

__

A slightly different geometric mean relation holds for the altitude BD:

  BD = √(DC·DA)

Please help, thank you! What is the difference between the probabilities of 4/4 and 100%?
(no choices)

Answers

Answer:

There is no difference

Step-by-step explanation:

because they are both equal to a 100% chance of that makes sense

hope that helps:)

Please help me find the value of x the answer must be exact

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]

Therefore, the value of x is 11.

You can double-check using the sine ratio:

[tex]sineX=\frac{opposite}{hypotenuse}[/tex]

Insert the values:

[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]

Insert the equation into a calculator:

[tex]x=11[/tex]

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

please help and show work if you can​

Answers

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

Pls help it due soon.
Pls show workings
Pleaseeeeeeeeee

Answers

Answer:

[tex]\mathrm{D.\:}14<x<32[/tex]

Step-by-step explanation:

In any triangle, the sum of any two sides must be greater than the other side. Therefore, in the given triangle with side lengths [tex]9[/tex] and [tex]12[/tex], we can write the following inequalities:

[tex]\begin{cases}(x-2)+9>21,\\21+9>(x-2)\\\end{cases}[/tex]

Solving these inequalities, we get:

[tex]x-2>12,\\x>14\\\\30>x-2,\\x<32[/tex].

Combining this into one inequality gives us:

[tex]\mathrm{D.\:}14<x<32[/tex].

Solve the following quadratic equation for all values of x in simplest form.

Answers

Answer:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Step-by-step explanation:

Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].

[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].

Factor out the 5, then isolate [tex]x^2[/tex]:

[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].

Therefore, the solutions to this quadratic are:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*

1️⃣ 40
2️⃣ 10
3️⃣ 30
4️⃣ 50​

Answers

Answer: 1️⃣ 40

Step-by-step explanation:

x - is the side of the square

[tex]x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square[/tex]

Find the perimeter of the square.

Perimeter of the square = 4 × 10 cm = 40 cm

On a trip. Joel drove 24 miles more than Rita drove. Together they drove 340 miles.
How many miles did Joel drive?
O A 158
0
B. 182
194
D. 316

Answers

Answer:

194

Step-by-step explanation:

you would do 340 divided by 2 and that gets you 170 then you would subtract 24 from Rita and that is 146 so Rita drove 146 miles. then for Joel you add 170 +24 = 194. So Joel drove 194 miles.

hope this helps

194 I hope this helps

Match the numbers with the correct label.

Answers

how are we suposed to do this

Help please.
Algebra.

Answers

the answer is C)-1

for this problem i did this:
4x+3y=-3
4(0)+3y=-3
3y=-3
y=-1

a simple way to find the y intercept is to make x equal 0 and then continue to solve the equation...if you were to solve for the y intercept you would make y equal 0 and then continue to solve the equation
(i hope that made sense)

Please Help.
Algebra.

Answers

The answer is c because it starts from negative 3 and moves up 7 times and then 2 times to the right.

If the area of a square table is 392 sq.ft. what is the length of each side?

Answers

Answer:

multiply 392 by 4 that should be your answer

Step-by-step explanation:

Please help I have 5 mins left :(

Answers

Answer:

2/10

Step-by-step explanation:

If you are trying to find out the probability of a number just know that the whole number is always going to be the denominator. In this problem, the denominator is 10 because that is the whole number of pieces of paper.

Then we look at the second part of the problem where it is asking us to figure out the probability of pulling out a number that is less than 3 which would only leave us  with 1-2

This means that the probabilaty of pulling out a number less than 3 is 2/10

Answer:

2/10

Step-by-step explanation:

This has to deal with probability.

If you are going to choose a number less than 3, this makes the problem in which that 2/10 of the results would occur.

This is simply because the value of 1 and 2 are the only numbers smaller than 3.

What is the sum of the digits of the first 99 counting numbers?

Answers

4950 is the sum of positive integers upto 99. i think that’s what your asking??

Help me find the measure of each numbered angle please!

Answers

Answer:

Hope this helps

Step-by-step explanation:

What is the equation of the ellipse with major vertices at (-6, 0) and (6, 0) and minor vertices at (0, 3) and (0, -3)?

Answers

Answer:

b

Step-by-step explanation:

What are the zeroes of P(x) = x3 – 6x2 - x +62​

Answers

Answer:

x = 6

x = -1

x = 1

Step-by-step explanation:

Given:

Correct equation;

P(x) = x³ - 6x² - x + 6

Computation:

x³ - 6x² - x + 6

x²(x-6)-1(x-6)

(x-6)(x²-1)

we know that;

a²-b² = (a+b)(a-b)

So,

(x-6)(x²-1)

(x-6)(x+1)(x-1)

So,

zeroes are;

x = 6

x = -1

x = 1

The marked price of a watch is Rs.2700. If the percentage of discount given on marked price is twice of the percentage of VAT and the value of the watch after adding VAT is Rs.2376.Find the rate of VAT

Answers

Answer:

24%

Step-by-step explanation:

Step one:

given data

The marked price of a watch is Rs.2700

The value of the watch after adding VAT is Rs.2376

let us find the discount

= 2700-2376

=324

then the percentage discount is

=324/2700*100

=0.12*100

=12%

The VAT is twice the discount, the VAT is 12*2= 24%

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