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laila [671]
3 years ago
15

A teacher is choosing 4 students from a class of 30 to represent the class at a science fair. In how many ways can the teacher c

hoose the students?
Mathematics
1 answer:
marin [14]3 years ago
4 0
{30 \choose 4}=\frac{30!}{4!26!}=\frac{27\cdot28\cdot29\cdot30}{2\cdot 3\cdot4}=27\cdot7\cdot29\cdot5=27405
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Find the amount in an account if 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months
storchak [24]

We have been given that in an account an amount of 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months.

We will use compound interest formula to find our answer.

A=Pcdot(1+\frac{r}{n}) ^{nT},

Where, P= principle amount, A= amount after T years, n= period of compounding and r = interest rate (decimal).

Let us substitute our given values in our formula.

A=7650(1+\frac{0.0915}{4} )^{(8.5\times4)}  

A=7650(1+0.022875)^{34}

A=7650(1.022875)^{34}  

A=7650\cdot 2.15758136398

A=16505.4974    

Therefore, after 8 years and 6 months our amount will be 16505.497.


7 0
2 years ago
Which angle number is a vertical angle to
VMariaS [17]

Answer:

Angle 7 or angle DHG

Step-by-step explanation:

Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)

5 0
3 years ago
1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?
ArbitrLikvidat [17]

Answer:

1. y = (⅔)x - 3

2. y = 3x + c

3. 1) non-proportional

2) can be proportional if c = 0

Step-by-step explanation:

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

y = (⅔)x - 3

2. What is the equation of a line that has a slope of 3?

y = 3x + c

3. Lable the 2 equations as proportional or non-proportional and why.

A proportional relation should pass through the origin, i.e the y-intercept should be 0

3 0
3 years ago
PLEASE HELP FOR 15 Points!!!! THE GRAPH IS IN ONE OF MY QUESTIONS
zavuch27 [327]

Answer:

m<1= 90°

m<2= 58°

3<= 32°

Step-by-step explanation:

The angles are congruent angles.

6 0
3 years ago
I have a thanksgiving packet. I’m stuck on these last two pages. Can anyone help me on the question. Thanks.
vovikov84 [41]
I think the Honda and Dodge have the same ratio. If you do the math, the ratio will come out to (12,1) or 12 for both types of cars.
6 0
3 years ago
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