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3 years ago

Use the equation g = m + 6 to find the value of g when m = 6

Mathematics

1 answer:

KiRa [710]3 years ago

3 0

Answer:

g=12

Step-by-step explanation:

substitute m for 6 and rewrite the equation

g = 6+6

g=12

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Find the annual interest rate.

slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = $\frac{18}{12}=\frac{3}{2}$ years

Now, find the rate of interest using simple interest formula.

Simple interest formula:

$$I=\frac{Prt}{100}$

$$26.25=\frac{500\times r\times \frac{3}{2} }{100}$

$$26.25\times 100 =500\times r\times \frac{3}{2}$

$$2625 =250\times r\times 3$

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3 years ago

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3 years ago

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Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

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

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

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

Unit: Limits

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2 years ago

Plz Help Me With All Of The Problems Thx

love history [14]

Answer:

Step-by-step explanation:

17. A board 8 1/4 wanting to be cut out of the board are a number of pieces each piece 1 3/4 long

Convert both 8 1/4 and 1 3/4

8 1/4 = Multiply the denominator(4) by the whole number(8) to get 32 then add it to the numerator(1) to get 33, then put it over the original denominator to get 33/4. Do the same for the rest of the questions.

1 3/4 = 7/4

Divide 33/4 by 7/4 since we want to see how many times we can get 7/4 out of 33/4

33/4 ÷ 7/4

33/4 * 4/7, Changing the division sign to multiplication changes the fraction or number after it to the inverse of itself 7/4 = 4/7

132/28 - simplify by dividing the numerator and denominator by 4

33/7 - She will be able to cut 33/7 boards

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18. Total = 50

One serving = 1 1/3 = 4/3

50 ÷ 4/3

50 * 3/4

150/4 - simplify

75/2

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Sunday = 2 3/4 = 11/4

In a week, she watches 4/3 + 11/4 = 49/12 hrs

In 3 weeks, she watches 49/12 * 3 = 147/12- simplify = 49/4 hrs

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Brother 4 1/5 = 21/5

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6 0

3 years ago

What is the product im simplest form for 3/5×2/3

eduard

Answer:

0.4

$\frac{2}{5}$

Step-by-step explanation:

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3 years ago

Use the equation g = m + 6 to find the value of g when m = 6​

Use the equation g = m + 6 to find the value of g when m = 6