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insens350 [35]
3 years ago
14

What is the sum of the first six terms of the geometric series? 2-4+8-16+

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

Option C, -42

Step-by-step explanation:

2 - 4 + 8 - 16 + 32 - 64

-42

Answer:  Option C, -42

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Enter your answer
satela [25.4K]

Answer:So, since it is continuously, we need to think of PERT

A=P\times e^{rt}

So, we just plug our numbers in to solve for T

8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t

It will take 15.479 years

Step-by-step explanation:

8 0
2 years ago
Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)
nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0
3 years ago
Read 2 more answers
Help??<br> anyone?<br> 7th grade math <br> tysm
prohojiy [21]

Answer:

if it isn't compound interest, i think it is $3029.9447

Step-by-step explanation:

4 0
3 years ago
A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in cubic m?
Veseljchak [2.6K]
50 meters cubed because you have to multiple (2()5)(10)
8 0
2 years ago
Read 2 more answers
9&gt; -2m + 2 - 3
Tanya [424]

Answer:

A

Step-by-step explanation:

Given

9 > - 2m + 2 - 3, that is

9 > - 2m - 1 ( add 1 to both sides )

10 > - 2m

Divide both sides by - 2, reversing the symbol as a result if dividing by a negative quantity.

- 5 < m , thus

m > - 5 → A

6 0
3 years ago
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