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MissTica
3 years ago
10

Dan pays £714.73 a year in his car insurance. The insurance company reduces the price by 4.1%. How much does the insurance cost

now? Give your answer to 2 DP.
Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

£682.57

Step-by-step explanation:

Dan pays £714.73 a year in his car insurance.

The price was reduced by 4.1%

To find the new cost of the insurance, we simply need to find 4.15% of £714.73 and then subtract that from the initial price of the insurance (£714.73)

4.5% of 714.73 is:

\frac{4.5}{100} * 714.73 = £32.16

Then, the cost of the insurance now is:

£714.73 - £32.16 = £682.57

The insurance now costs £682.57

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What is the classification for this polynomial?
Mariana [72]

Answer:

Trinomial

Step-by-step explanation:

This is because there are three terms involved in the equation.

One of them is -7ab^4. Another is 4c^3. The third one is 25.

4 0
3 years ago
Armando and Bianca are 290 feet apart when they start walking toward one another. Bianca walks twice as fast as
aivan3 [116]

9514 1404 393

Answer:

  d = 290 -3x

Step-by-step explanation:

For each x feet that Armondo travels toward Bianca, Bianca travels 2x feet toward Armondo. The net effect is that the distance between them decreases by x+2x = 3x feet. The distance starts at 290 feet when x=0, so the distance can be described by ...

  d = 290 -3x

3 0
3 years ago
On Saturday, the Gomez family left home to a resort in Maine. The drove at an average rate of 48 mph. ON Thursday they went back
tankabanditka [31]
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.

Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so 
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x  = 11*240, => x=240
Distance from home to resort is 240 miles
4 0
3 years ago
2. A student on the track team runs 45 minutes each day as a part of her training. She
fomenos

Answer:

D

Step-by-step explanation:

The basic equation to solve this would be D = RT, which is

D is Distance

R is Rate (speed)

T is time

To find total distance D, we can find individual distances for two legs of the whole.

First Leg:

R = 8

T = a

D = 8a

Second Leg:

R = 7.5

T = b

D = 7.5b

Total distance D is:

D = 8a + 7.5b

Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:

D = 8a + 7.5b

D = 8(45 - b) + 7.5b

Answer choice D is right.

8 0
3 years ago
I really need help with this one please
natka813 [3]

The distance from the sun is option 2 5.59 astronomical units.

Step-by-step explanation:

Step 1; To solve the question we need two variables. P which represents the number of years a planet takes to complete a revolution around the Sun. This is given as 13.2 years in the question so P = 13.2 years. The other variable is the distance between the planet and the sun in astronomical units. We need to determine the value of this using the given equation.

Step 2; So we have to calculate the value of 'a' in Kepler's equation. But the exponential power \frac{3}{2} is on the variable we need to find so we multiply both the sides by an exponential power of \frac{2}{3} to be able to calculate 'a'.

P =  a^{\frac{3}{2} }, P^{\frac{2}{3} } = a^{\frac{3}{2}*\frac{2}{3}  },  P^{\frac{2}{3} } = a, 13.2^{\frac{2}{3} } = a = 5.58533 astronomical units.

Rounding it over to nearest hundredth we get 5.59 astronomical units.

6 0
3 years ago
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