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Sliva [168]
2 years ago
8

Roselyn is driving to visit her family, which live 150150150 kilometers away. Her average speed is 606060 kilometers per hour. T

he car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Mathematics
1 answer:
irga5000 [103]2 years ago
3 1
It’s 60 dollars Nd 0.6666 is natural answer with runs out of 2030km
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If PQ=RS, which of the following must be true?
maw [93]

<u>Answer:</u>

If PQ=RS then PQ and RS have the same length. Hence option D is correct

<u>Solution:</u>

Given that, pq = rs  

And, we have to find which of the given options are true.

<u><em>a) pq and rs form a straight angle </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>b) pq and rs form a zero angle. </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>c) pq and rs are same segment. </em></u>

If two things equal then there is no condition that both represents a single item.

So this statement is false.

<u><em>d) pq and rs have the same length </em></u>

As given that pq = rs, we can say that they will have the same length  

Hence, option d is true.

4 0
1 year ago
You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the
Makovka662 [10]

Answer:

  • The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

  • The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.

Step-by-step explanation:

a)  How much will you have at the middle of the first year?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

where

  • Principle = P
  • Annual rate = r
  • Compound = n
  • Time  = (t in years)
  • A = Total amount

Given:

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

To determine:

Total amount = A = ?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

substituting the values

A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}

A=300\cdot \frac{2.06}{2}

A=\frac{618}{2}

A=309 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

where

  • Principle = P
  • Annual rate = r
  • Compound = n
  • Time  = (t in years)
  • A = Total amount

Given:

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

To determine:

Total amount = A = ?

so using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

so substituting the values

A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}

A=300\cdot \frac{2.06^2}{2^2}

A=318.27 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.

3 0
1 year ago
Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. Jam
Ad libitum [116K]

Answer:

he makes $12 less.

Step-by-step explanation:

$80X12=960 - Matts income for the year

960-816=144 -How much less James makes than Matt per year

144/12=12 - How much less James makes than Mat per month

leave 5 stars and a thanks if it was helpful.

3 0
1 year ago
Read 2 more answers
Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit.
DerKrebs [107]

Answer:

Step-by-step explanation: FF  represents the temperature in degrees Fahrenheit is equivalent to CC, the temperature in degrees Celsius.

F=32+1.8CF=32+1.8C

5 0
2 years ago
The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.
Zolol [24]

Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

B) Asher is 22 inches tall.

Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

A) Find the Percentile for Lynette, the student who is 65 in. tall.

No. of students below 65 inch =9

So, Percentage of data below 65 inch =\frac{9}{25} \times 100 = 36 \%

So, Percentile for Lynette, the student who is 65 in. tall is 36th

B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher

88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x

22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.

4 0
1 year ago
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