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2 years ago

6

Write an expression that gives the requested sum. the sum of the first 18 terms of the geometric sequence with first term 3 and

common ratio 2

1 answer:

alina1380 [7]2 years ago

8 0

I got 786432 when I use a(r^n-1)/(r-1)

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A store sells $5000 worth of running shoes on Monday. On Tuesday, it sells $6250 worth of running shoes. What is the percent inc

professor190 [17]

Answer:6300

Step-by-step explanation:

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3 years ago

A principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?

olga2289 [7]

Let S = Sum after 13 years

So = amount invested

t = time in years

i = annual interest rate = .0325

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2 years ago

Solve the equation for all values of x.<br> (8x+9)(49x^2-100)=0

Liono4ka [1.6K]

Answer:

$x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}$

Step-by-step explanation:

8x+9=0

8x=-9

$x = \frac{-9}{8}$

or

$49x^{2}-100 = 0$

$(7x)^{2} -10^{2} =0$ ,

$(7x+10)(7x-10)=0$

$7x+10=0, 7x-10=0$

$7x=-10, 7x=10$

$x=-\frac{-10}{7}$ , $x = \frac{10}{7}$

4 0

2 years ago

Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Functions
Function Notation

<u>Algebra II</u>

Piecewise Functions<u> </u>

<u>Calculus</u>

Limits
Continuity

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

<u>Step 2: Solve for </u><em><u>k</u></em>

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

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2 years ago

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Show how 12 people can share an 8 piece chewy fruit worm. How many pieces would each person get.

Alexxx [7]

Everyone would get 0.66666666666666666 and so on

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3 years ago

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