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3 years ago

11

Kate has $60. If shirts cost $18.99, estimate the maximum number of shirts she can buy by rounding the price to the nearest ten.

1 answer:

Molodets [167]3 years ago

7 0

Kate can get a max of 3 shirts.

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Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle \lim_{x \to 0} f(x) = 4$

<u>Step 2: Solve</u>

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

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

Unit: Limits

Book: College Calculus 10e

3 0

3 years ago

7. Use the compound-interest formula to find the account balance A with the given conditions, where P=principal, r=interest

Artist 52 [7]

Answer:

<u>$173,954.01</u>

Step-by-step explanation:

Finding compound interest :

A = (150,000)(1 + 0.025)⁶
A = (150,000)(1.025)⁶
A = (150,000)(1.15969342)
A = <u>$173,954.01</u>

4 0

2 years ago

why do the products of multidigit numbers with zeros & one digit sometimes have zeros in them & sometimes have no zeros

Bingel [31]

Im not quite triggered but U should go to mathantics.com or watch his videos to find it out :D

3 0

3 years ago

Read 2 more answers

Rewrite 1/(√x-5) in an equivalent form with a rational expression in the denominator.

sladkih [1.3K]

Answer:

1/(√x-5)*(√x+5)/(√x+5)

Step-by-step explanation:

1/(√x-5)*(√x+5)/(√x+5)

4 0

3 years ago

Between what two integers does the number square root of 29 lie?

lutik1710 [3]

Your Answer Will Be Between 5 and 6 Because The Square Root Of 29 Is 5.3851 ect

4 0

3 years ago