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3 years ago

Which value of x satisfies the inequality 108/x <8?

Mathematics

1 answer:

Aleks04 [339]3 years ago

5 0

x<0 or x > 27/2
using symbolab to help you out

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What is the recursive formula for this geometric sequence<br><br>4,-12,36,-108...

Natalka [10]

$a_{n+1}$ = - 3 $a_{n}$ with $a_{1}$ = 4

To find the next term in the sequence multiply the previous term by - 3

the common ratio r = $\frac{-108}{36}$ = $\frac{36}{-12}$ = - 3

$a_{n+1}$ = $a_{n}$ × r ← recursive formula

7 0

3 years ago

Read 2 more answers

Please help needed immediately

lukranit [14]

All of them or a specific one?

5 0

3 years ago

I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd

Alex

Answer: $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula: $A=P(1+\frac{r}{n})^{nt}$ where

A is the accrued amount (balance)
P is the principal (initial amount invested)
r is the interest rate (in decimal form)
n is the number of times compounded each year
t is the time of the investment (in years)

Given: P = 4,900

r = 3.5% (0.035)

n = 2

t = 5

$A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\$

5 0

3 years ago

Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and

trasher [3.6K]

Answer:

XY is 4 units.

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

Putting the given values, we have,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}$

Thus, the length of XY is 4 units.

8 0

2 years ago

Plz hurry!!!! thank you!!!!

tatyana61 [14]

Step-by-step explanation:

Since SP=TR, the differnce of PR and ST 24-15 divided by 2 is the length of PD (4.5)

Try to understand the rest from the attached picture

3 0

2 years ago