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Anni [7]
3 years ago
14

The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

(7x+3/4*[x-1])^2

Step-by-step explanation:

The square of the sum of 7 times x. and 3 divided by 4 times the difference of x and 1. This would mean that (7x+3/4*[x-1])^2 You would perform x - 1 in the [] first, which is why they are in the extra brackets. The whole thing is squared, so it is all in parenthesis, being squared. It says 3/4 into x-1. This would mean it's multiplying into x-1.

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3 years ago
Evaluate the square root of x^2 - 5x when x = 7. Round your answer to the nearest hundredth
Troyanec [42]
X^2-5x, given x=7,

(7)^2-5(7)=14

sqrt(14)=3.74
5 0
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

7 0
3 years ago
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You have 480 roses and 24 of them dies, how many per cent died?
Setler79 [48]

Answer:

5%

Step-by-step explanation:

5% of the roses died.

480 roses = Total number of roses

24 roses = number of roses that died

24 roses that died as a percent of 480 the total is:

24/480*100= 5%

To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.

5 0
3 years ago
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andriy [413]

28. The ratio of games they won to total games played = 12: 14 = 6: 7.

29. Max's pay rate is 9.50 dollars per hour.

30. The value of n is 9.

Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

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Step 3; The given proportion is

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n = \frac{18}{24} × 12 = \frac{3}{4} × 12 = \frac{36}{4} = 9.

7 0
3 years ago
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