Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?

A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.

Answer:

x = 63

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 62 + 55 = 180

x + 117 = 180

x = 180 - 117

x = 63

Answer:

girls 57/100 57% 0.57

Step-by-step explanation:

boys 43/100 43% 0.43

all the ways

The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.

It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.

We have to find out the portion of girls in the fourth grade class and express it to decimal.

What is the decimal fractions ?

Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.

As per the question ;

57 are girls out of total 100 students in a class at a school.

The number of boys will be ;

= 100 - 57 = 43

The no. of girls in fraction form will be ;

= 57 / 100

and in the decimal form it will be ;

= 0.057

The no. of boys in decimal form will be ;

= 47 / 100

= 0.047

Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.

To learn more about fraction and decimal form click here ;

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Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

(1) Conjugate = -i8

(2) Conjugate = -i3+9

(3) Conjugate = i2+1

(4) Conjugate = -3-iy

Step-by-step explanation:

From the question,

Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.

The conjugate of a surd is obtained by changing the sign of the surd in the expression.

Given

(1) i3+i5 = i8

Conjugate is -i8

(2) i3+9

Conjugate is -i3+9

(3) -i2+1

Conjugate is i2+1

(4) -3+iy

Conjugate is -3-iy

Answer:

Point W

Step-by-step explanation:

Answer:

y=-3x+4

Step-by-step explanation:

Using the formula y=mx+b

mx= slope b= y-intercept

hence,

y=-3x+4 has a y-intercept of (0,4)

Answer:

A y=3x +4

Step-by-step explanation:

since when x=0 then y will be at +4

Y=3(0)+

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

9514 1404 393

Answer:

  -5

Step-by-step explanation:

The given linear equation simplifies to ...

  g(x) = 2x -x

  g(x) = x

For x = -5, this is ...

  g(-5) = -5

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Answer:D

Did it on khan academy

Answer:

B and E

Step-by-step explanation:

perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles

Answer:

317.21 (sales price)

259.53 (discount amount)

Step-by-step explanation:

First, we need to divide.

576.75/100=5.7675 (note that I will be rounding at the end)

5.7675 x 55 (100-45) = 317.2125

Rounds to: 317.21

Now, we need to find the discount amount.

 576.75

-317.21

=259.53

Answer:

Following are the solution to these question:

Step-by-step explanation:

Following are the binomial distribution with parameters:

[tex]n = 12\\\\p = 0.24[/tex]

For point a:

[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]

For point b:

[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]

For point c:

[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]

Answer:

add all the numbers and divide by 4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67

F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5

[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]

Answer:

|-9| = 9

That is the absolute value for the loss of yards

Answer:

x = 3

Step-by-step explanation:

4x - 3 = 9

4x = 9 + 3

4x = 12

x = 12/4

x = 3

Step-by-step explanation:

a = 12√3

b = 24

hope this helps

Answer:

No that would be a 90 degree

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

Let take a look of original graph, cos(x)

The amplitude of that graph is 1.

The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.

We need to find the x intercept.

[tex] \cos(0 ) = 1[/tex]

so

[tex]2 \cos(3(0)) = 2[/tex]

The graph should intersecting at point

0,2 so the answer is

Graph B

Answer:

B on edge

Step-by-step explanation:

Answer:

18.9 eggs

Step-by-step explanation:

54÷20= 2.7

2.7 ×7=18.9

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

5% of 245 is 12.25

245+12.25= 257.25

$257.25

Answer:

9/17

Step-by-step explanation:

there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer

Answer:

11 1/5

Step-by-step explanation:

2 1/3 × 4 4/5

=7/3 × 24/5

=56/5

=11 1/5

Answer:

596

Step-by-step explanation:

Each term of the arithmetic sequence is 9 greater than the previous term.

Since the first term is 29, then 29+9 = 38, the second term in the sequence.  Likewise, the third term, 47, is 9 greater than the previous term, 38.  47 is also 2(9) greater than the first term, 29.

Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.

29 + 63(9)

= 29 + 567

= 596

So, the 64th term of the arithmetic sequence is 596.