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3 years ago

Rewrite as a simplified fraction. 2.8‾

Mathematics

2 answers:

Shtirlitz [24]3 years ago

8 0

Answer:

2 4/5

Step-by-step explanation:

Convert decimal to fraction

2.8 = 28/10

Simplify

28/10 = 14/5 = 2 4/5

ladessa [460]3 years ago

6 0

Answer:2 4/5

Step-by-step explanation: it’s original form would be 2 8/10 but that simplified is 2 4/5

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Which of the following statements best describes the graph of -5x+2y=1

ahrayia [7]

The answer is the third option.
x and y are both to the first degree so we know it makes a straight line.
Next check the ordered pairs to see which set are true in the equation.

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3 years ago

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At the beginning of each of her four years in college, Miranda took out a new Stafford loan. Each loan had a principal of $5,500

kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

$P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}$

i.e. $PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}$

Substituting the values, we get,

i.e. $PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}$

i.e. $22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-0.4735]}{0.00625}$

i.e. $22000=\frac{P\times 0.5265}{0.00625}$

i.e. $P=\frac{22000\times 0.00625}{0.5265}$

i.e. $P=\frac{137.5}{0.5265}$

i.e. $P=261.16$

Thus, the total lifetime cost to pay of the loans compounded annually = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

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3 years ago

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The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the vo

fgiga [73]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

$k = \frac{7520}{2160}$

$k = 3.481$

To see how many times larger the volume is, we cube both sides

${k}^{3} = {3.481}^{3}$

This implies that

${k}^{3} = 42.181$

Therefore the volume of the second sphere is approximately 42 times larger

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3 years ago

What are the vertical asymptote(s) and hole(s) for the graph of y= x-1 over X squared + 6x+ 8

san4es73 [151]

Answer:

You have vertical asymptotes on x=-4,-2

Step-by-step explanation:

This question is very simple. Since you have a denominator all you need to do is factor the bottom and find the zeros. When you factor the bottom of the equation you should get (x+4)(x+2). Now you have to set the bottom equal to zero to find the zeros. This means (x+4)=0 and (x+2)=0 So you get two answers x=-4 and x=-2 Therefore your two vertical asymptotes are on x-4,-2

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3 years ago

Student attendance at football games

Paladinen [302]

Collin's sampling method will better represent the entire population.

<h3>Missing part of the question</h3>

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<h3>How to determine the better method?</h3>

From the question, we understand the Collin selected random names from the school directory.

While Karl surveyed only the students sitting close to him.

Karl's method is biased because students sitting far from him do not have a chance of being surveyed.

Hence, Collin's sampling method will better represent the entire population.