In this item, we let x be the amount that is deposited in the account that has a simple interest equal to 7%. With this representation, the amount that is deposited in the account with simple interest of 6% is equal to 12000 - x.
The amount of interest earned from the investment is calculated through the equation,
I = P x (i)
For the first investment,
I = (x)(0.07)
For the second investment,
I = (12000 - x)(0.06)
Adding up the interests,
800 = 0.07x + (0.06)(12000 - x)
The value of x from the equation is 8000.
<em>Therefore, the amount invested to that with 7% interest is $8000 and the amount invested to that with 6% interest is $4,000.</em>
Answer:
143.6
Step-by-step explanation: i swear its right
Answer:
a. the mean of the population
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
To find the sample size necessary we need values of M(maximum margin of error), z(related to the confidence level) and , which is an estimate of the true population proportion p.
The mean of the population is not needed.
So the correct answer is:
a. the mean of the population
I don't know what the answer to number 1 is.
2. <u>Center</u>
25x² + 4y² - 50x - 24y - 39 = 0
25x² + 4y² - 50x - 24y = 39
25x² - 50x + 4y² - 24y = 39
25(x² - 2x) + 4(y² - 6y) = 39
25(x² - 2x + 4) + 4(y² - 6y + 9) = 39 + 25(4) + 4(9)
25(x² - 2x + 4) + 4(y² - 6y + 9) = 39 + 100 + 36
25(x² - 2x + 4) + 4(y² - 6y + 9) = 175
<u>25(x - 2)²</u> + <u>4(y - 3)²</u> = <u>175</u>
175 175 175
<u>(x - 2)²</u> + <u>4(y - 3)²</u> = 1
7 17
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