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ollegr [7]
2 years ago
11

Drag each tile to the correct box. Not all tiles will be used.

Mathematics
1 answer:
Zina [86]2 years ago
5 0

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

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On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,28
Karolina [17]
A. How many kilowatt hours of electricity did the Smiths use during February?

Kilowatt hours of electricity the Smiths used during February:
Meter read on March 1 - meter read on February 1 =
20,288 kilowatt hours - 19,423 kilowatt hours =
865 kilowatt hours
Answer: The Smiths used 865 kilowatt hours of electricity during February

b. How many kilowatt hours did they use during March?

Kilowatt hours of electricity the Smiths used during March:
Meter read on April 1 - meter read on March 1 =
21,163 kilowatt hours - 20,288 kilowatt hours =
875 kilowatt hours
Answer: The Smiths used 875 kilowatt hours of electricity during March
8 0
2 years ago
Write a number that is greater than 4.508 but less than 4.512
Lelechka [254]
4.509 is greater that 4.508 and less than 4.512
5 0
2 years ago
Read 2 more answers
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
1 year ago
According to VSEPR theory, if there are five electron domains in the valence shell of an atom, they will be arranged in a(n) ___
andriy [413]

Answer:

trigonal bypyramidal

Step-by-step explanation:

It's difficult to explain without a drawing or a model, but it would basically arrange itself into two triangle based pyramids connected to each other at the base, which is trigonal bypyramidal.

5 0
1 year ago
Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. What is t
drek231 [11]

Answer:

P(1\ and\ 2) = 0.3309

Step-by-step explanation:

Given

Red = 3

Blue = 4

Orange=10

Required

Probability of selecting 2 orange marbles

The total number of marbles is:

Total = Red + Blue + Orange

Total = 3 + 4 + 10

Total = 17

The probability that the first selection is orange is:

P(1) = \frac{10}{17}

Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

So, the probability that the selection is orange is:

P(2) = \frac{10-1}{17-1}

P(2) = \frac{9}{16}

The required probability is:

P(1\ and\ 2) = P(1) * P(2)

P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}

P(1\ and\ 2) = \frac{10*9}{17*16}

P(1\ and\ 2) = \frac{90}{272}

P(1\ and\ 2) = 0.3309

7 0
2 years ago
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