The value of a piece of land in a town is increasing every year . Its value, in dollars, t years after 1970 and until 2001 can be modeled by the function 31, 000(1.001) ^ t . What is the domain of the function ?
A. All whole numbers greater than or equal to 1971 and less than or equal to 2001 .
B. All real numbers greater than or equal to 1971 and less than or equal to 2001 .
C . All non - negative real numbers less than or equal to 31.
D. All whole numbers less than or equal to 31

Answer:

x ≈ 1051.368672

Step-by-step explanation for #3:

[tex]tan(\frac{x}{12}) =24[/tex]          Use tangent function because it relates to the opposite and adjacent sides of the triangle.

[tex]tan^{-1}(tan(\frac{x}{12}))=tan^{-1}(24)[/tex]

[tex]\frac{x}{12} = tan^{-1}(24)[/tex]

[tex]x = 12[tan^{-1}(24)][/tex]

x ≈ 1051.368672

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Answer:

n has to be negative

Step-by-step explanation:

To solve this equation, 15 has to be subtracted from 2 which is negative

Since n is positive then the overall result will be negative

Answer:

The probability of selecting two Democrats and three Republicans is 10.7%.

Step-by-step explanation:

Given that a city council consists of seven Democrats and eight Republicans, if a committee of five people is selected, to find the probability of selecting two Democrats and three Republicans the following calculation must be performed:

7 = 100

2 = X

2 x 100/7 = X

28.57 = X

8 = 100

3 = X

3 x 100/8 = X

37.5 = X

0.2857 x 0.375 = X

0.107 = X

0.107 x 100 = 10.7

Therefore, the probability of selecting two Democrats and three Republicans is 10.7%.

Answer:

I personally think yungblud

Answer:

i definitely listen to yungblud more and watch more of his content soo-

Step-by-step explanation:

Answer:

[tex]M=\$605.58[/tex]

Step-by-step explanation:

From the question we are told that:

Issac's Debit [tex]P=\$8100[/tex]

Annual interest rate  [tex]r=21.9\%[/tex]

Number of payments [tex]n=16[/tex]

Generally the equation for Monthly payment  is mathematically given by

 [tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]

 [tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]

 [tex]M=\$605.58[/tex]

Therefore Payment for each month is given as

 [tex]M=\$605.58[/tex]

Answer:

Angle 5 = 37°

Angle 8 = 143°

Step-by-step explanation:

Angle 2 = Angle 8

Reason : Alternate exterior angles are equal.

Therefore,

Angle 8 = 143°

Angle 5 + Angle 8 = 180°

Reason : Angle 5 & 8 are in a linear pair.

Angle 5 + 143° = 180°

Angle 5 = ( 180 - 143 )°

Angle 5 = 37°

Answer:

1/10 x 1.2 is 0.12

Step-by-step explanation:

so yeeeeeeee

Answer:

The answer is b.Look below for details.

Step-by-step explanation:

Question no 1. The sequence has the common difference of 14.

t1=7

t2=21

t3=35

We have

tn=a+(n-1)d

=7+(n-1)14

=7+14n-14

=14n-7(Its not our answer)

Lets try b.

The common difference is 2 in this sequence.

t1=7

t2=9

t3=11

t4=13

We have

tn=7+(n-1)2

=7+2n-2

=2n+5(Its is our answer.) Got it.

Answer:

X=295.6

Step-by-step explanation:

I took the test

Answer:

295.6

Step-by-step explanation:

Answer:

The manager purchased 28 soccer balls.

Step-by-step explanation:

Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:

x+y=52, where:

x is the number of footballs purchased

y is the number of soccer balls purchased

Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:

23.53x+19.86y=1,120.80

Now, you have 2 equations:

x+y=52 (1)

23.53x+19.86y=1,120.80 (2)

To be able to find the value of x and y, first you can isolate x in (1):

x=52-y (3)

Then, you can replace (3) in (2) and solve for y:

23.53(52-y)+19.86y=1,120.80

1,223.56-23.53y+19.86y=1,120.80

1,223.56-1,120.80=23.53y-19.86y

102.76=3.67y

y=102.76/3.67

y=28

Finally, you can replace the value of y in (3) to find the value of x:

x=52-28

y=24

According to this, the answer is that the manager purchased 28 soccer balls.

Step-by-step explanation: it 6

Answer: 252m^2 (squared)

Step-by-step explanation: 2×(6×3 + 6×12 + 3×12) = 252m^2

Answer:

(a)=40  (b)=60

Step-by-step explanation:

(a)=

So first 70 +70 = 140 then 180-140 = 40

(b)

So first 180/3 = 60 all angles =60

Answer:

It does make perfect sense... Count with ya fingers and see 4 yourself.

Step-by-step explanation: Go back to kindergarten buddy...

~ thx 4 the points my dude!~

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

Answer:

7/12lb

Step-by-step explanation:

5-1 2/3-2 3/4

=5-5/3-11/4

=10/3-11/4

=40/12-33/12

=7/12lb

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

There was an initial amount of 5 lbs.

[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]

4 (5/12) of the sugar was used.

[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]

(7/12) of sugar should be remaining.

Hope this helps.

Answer:

They Have The Same Y-Intercept.

Function 2's y-intercept is -5.

Function 1 y-intercept could be found by inputting 0 as r.

p=0-5

p=-5

Meaning, they're equal.

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

Answer: third one

Step-by-step explanation:

Answer:

3√2

Step-by-step explanation:

the 2nd answer

y=3√2

Answer:

tht hard

Step-by-step explanation:

so i need points

Answer:

The vertex is located on the x-axis between the second and third quadrants

Step-by-step explanation:

Whereby the function is f(x) = (x + 3)², we have;

f(x) = (x + 3)² = x² + 6·x + 9

The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;

h = -b/(2·a) and k = f(h)

Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;

a = 1, b = 6, c = 9

h = -6/(2 × 1) = -3

k = f(-3) = (-3)² + 6 × (-3) + 9 = 0

The vertex (h, k) = (-3, 0)

Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.

Answer:

1.10 2.158 3.157 4.100. 5.32 6. 168 7.99 8.46 9.3

Step-by-step explanation:

Answer:

9, 84, 30, 10, 157, 45, 168, 3, 100, 99

Step-by-step explanation:

Answer:

John paid $1.60 per balloon while Karyn pain $1.50 per balloon.

Step-by-step explanation:

4.80 divided by 3 = 1.60

6 divided by 4 = 1.50

Answer:

Step-by-step explanation:

Convert each number to its decimal equivalent for easier comparison with the other numbers:

1/8 = 0.125        1 (smallest)

2/4 = 0.50         3

8/4  = 2.0           4

3/15  = 0.20        2

2 2/7 = 2.28        6  (largest)

20/10​ = 2.00       5 (next to largest)

The smallest number is 1/8 (see above), and the largest is 2.28 (2 2/7).

Answer: 2 imaginary solutions

Step-by-step explanation:

x^2+2x+7=0

a=1, b=2, c=7

2^2-4*1*7

-24 (The discriminant is less than 0 , so the quadratic equation has 2 imaginary solutions)

Answer:

angle ABD=42°

Step-by-step explanation:

join AO with dotted line

AO=OD...radii

triangle AOD is an isosceles

angle DAO=angle ODA.....base angles of isosceles

angle DAO=48°

AngleAOD=180°-(48°+48°)....angle sum of triangle

=180°-96°

=84°

Angle AOD=2×angle ABD....angle at centre twice angle circumference

2xangle ABD=84°

Angle ABD=84°÷2

=42°

Answer:

Trevor walks 100 meters in a minute.

Step-by-step explanation:

This question can be solved by proportions.

Trevor is walking at the rate of 6 kilometers per hour.

Each kilometer has 1000 meters, so he walks 6*1000 = 6000 meters per hour.

How many meters does Trevor walk in a minute?

An hour has 60 minutes.

6000/60 = 600/6 = 100

Trevor walks 100 meters in a minute.