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Aliun [14]
2 years ago
9

Mattis saving to buy a new motorcycle. If he deposits $50 at the end of each month in an account that pays an annual interest ra

te of 3.5%, how much will he have in 30 months? Assume that the compounding is being done monthly
(Round the final answer to the nearest cent as needed. Round all intermediate values to eight decimal places as needed.)
Mathematics
1 answer:
liq [111]2 years ago
4 0
In thirty months you should have 5,250.00
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Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile
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Answer: 37

Step-by-step explanation:

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Critical value : z_{\alpha/2}=z_{0.01}=2.33

margin of error : E= 1 mile per gallon

Population standard deviation: \sigma=2.6 miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by  :

n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2

n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37  [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

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3 years ago
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Vikki [24]

Answer:

angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.

Step-by-step explanation:

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3 years ago
Help find length of ac n explain please thanks
Debora [2.8K]

Answer:

AC = 12.5 cm

Step-by-step explanation:

use cosine law c^2 = a^2 + b^2 − 2ab cos(C)

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The cosine rule is used when we are given either three sides or two sides and the included angle.

6 0
2 years ago
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Step-by-step explanation:

26. x²+5x+25/4 = (x + 5/2)²

29. x²/4y²-2/3+4y²/9x² = (x/2y - 2y/3x)²

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2 years ago
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5x3 + 9x² - 13x - 2<br>As x approaches --, f(x) approaches<br>As x approaches +o, f(x) approaches​
Solnce55 [7]

9514 1404 393

Answer:

  (x, y) → (-∞, -∞), (+∞, +∞)

Step-by-step explanation:

The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:

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