if francesca has $500 in her account after 4 years investing at 2.5% compounded annually, how much money did she start with

Determine whether the equation 3(4g+6)=2(6g+9) has one solution, no solution, or infinitely many solutions. The equation has . Q

taurus [48]

So firstly, foil 3(4g + 6) and 2 (6g + 9): $12g+18=12g+18$

Now since the quantity is the same on both sides of this equation, this means that <u>this equation has infinite solutions.</u>

7 0

3 years ago

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What is the solution to this system of equations?

Liula [17]

Answer:

D

Step-by-step explanation:

8 0

3 years ago

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Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate formulas, find the

Grace [21]

Answer:

$a.\ \mu_p=750\ \ , \sigma_p=0.005\\\\b.\ \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\ \mu_p=75\ \ , \sigma_p=0.0160$

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion of n=5000 is calculated as:

$\mu_p=np\\\\=0.15\times 5000\\\\=750$

-The standard deviation is calculated using the formula:

$\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050$

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion of n=1000 is calculated as:

$\mu_p=np\\\\=1000\times 0.15\\\\\\=150$

#-The standard deviation is calculated as follows:

$\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113$

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

$\mu_p=np\\\\\\=0.15\times 500\\\\=75$

#The standard deviation of the sample proportion is calculated as:

$\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160$

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

4 0

3 years ago

ect the best answer for the question. 3. Rewrite the equation x + y + 3 = –2x + 4y + 18 into standard form (ax + by = c). A. 3x

trapecia [35]

Answer:

B

Step-by-step explanation:

To rewrite the equation x + y + 3 = -2x + 4y + 18, first combine like terms.

x + y + 3 = -2x + 4y + 18

3x - 3y + 3 = 18

3x - 3y = 15

This is the standard form.

It can also be simplified by dividing each term by 3 to x - y = 5.

5 0

3 years ago

Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe

evablogger [386]

Answer:

Algebraic expression representing number of coffee B = 100-x

Step-by-step explanation:

An algebraic expression is an expression that contains unknowns denoted with alphabets or symbols and natural numbers.

Coffee blend is 100 pounds and x represent number of pounds of coffee A

Hence coffee B = 100-x

Algebraic expression representing number of coffee B = 100-x

8 0

3 years ago