f(x)= 20 + 12(x - 2)​

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

Answer:

whats the question i dont see the link

Step-by-step explanation:

Answer:

[tex]AC=13.5[/tex]

Step-by-step explanation:

Use the Law of Sines as follows:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

Insert the values (use the steps from the last problem):

[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]

Isolate b. Multiply both sides by b:

[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]

Multiply both sides by 14:

[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]

Isolate b. Divide both sides by sin 25:

[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]

Insert the equation into a calculator and round to the nearest tenth:

[tex]b=13.5[/tex]

The length of AC is 13.5 units.

:Done

Answer:

c

Step-by-step explanation:

Answer: THE ANSWER IS c

Step-by-step explanation:

Answer:

64 meals

Step-by-step explanation:

24 ÷ 3/8

= 24 x 8/3

= 192/3

= 64 meals

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

Answer: $3.6

Step-by-step explanation:

Hi, to answer this question, first we have to calculate watt hours per day:

200 wph x 4 hours = 800 watt hours

Now, we have to convert the watt-hours to kilowatt hours:

800 wh /1000 =0.8 kwh

Since he watches TV 30 days per month:

0.8 kw x 30 days = 24 kwh

Finally we have to multiply that result by the price per kilowatt hour (15 cents)

24 kwh x 15 cents = 360 cents

Converting to dollars:

360/ 100 = $3.6

Lee’s TV cost 3.6 dollars to operate for a month of 30 days

Step-by-step explanation:

Total marbles = 25

Probability of white marble = 3/ 25 = 0.12

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

13.5 / 1.5 = 9

Answer:

[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]

Given:

Distance travelled = 13.5 miles

Time taken = 1.5 hours = 1.5 × 60 = 90 minutes

Step-by-step explanation:

[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]

Answer:

The correct answer is A, Point P

Step-by-step explanation:

since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.

Answer:

Volume of rectangular prism:

V1 = base x height = 4 x 6 x 12 = 288 ft3

Volume of triangular prism:

V2 = base x height = 4 x (6/2) x 6 =  72 ft3

Volume of composite prism:

V= V1 + V2 = 288 + 72 = 360 ft3

Hope this helps!

:)

Answer:

C. 4(x-3)

Step-by-step explanation:

Answer:

You distribute the 2 to the m=2m

Then you distribute the 2 to the 11 which gives you 22

ANSWER: 2m+22

Answer:

EK = 1.

Step-by-step explanation:

Here we have KP = PE (tangents from outside the circle)

Therefore, 2KP = PE + 1 = KP + 1

Hence, 2KP - KP = 1 or KP = 1 = PE

Since KE is the base of triangle KPE, where  ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK

Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK  = 180

Therefore, 60° + ∡PKE + ∡PEK  = 180

Hence, ∡PKE + ∡PEK  = 180° - 60° = 120°

Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;

∡PKE + ∡PEK = 2·∡PEK = 120° which gives

∡PEK = 60° = ∡PKE

Therefore, ∡KPE = ∡PEK = ∡PKE = 60°

Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1

EK = 1.

Answer:

971 km/h

Step-by-step explanation:

The length of a planet's orbit around a star is approximately 16,540,000 km and it takes the planet about 710 Earth days to complete a full orbit.

Average speed is given as total distance traveled divided by time taken. That is:

S = D / t

Where t is in hours.

We have to convert 710 days to hours:

1 day = 24 hrs

710 days = 710 * 24 = 17040 hours

Therefore, the planet's speed is:

S = 16540000 / 17040 = 971 km/h (to 3 sf)

Answer:

Yes

Step-by-step explanation:

(1, -2)

y > -6x – 3

-2 > -6(1) - 3

-2 > -6 - 3

-2 > -9 Yes

Answer:

75.36

Step-by-step explanation:

3.14(pi) x 24(diameter) = 75.36(circumference)

Answer:

8 outcomes

Step-by-step explanation:

A coin has two possible outcomes: heads or tails.

The spinner has four possible outcomes: 1, 2, 3 or 4.

If we combine then, the number of outcomes will be the product of their number of outcomes:

2 * 4 = 8

So we will have a total of 8 outcomes:

heads, 1 / heads, 2 / heads, 3 / heads, 4 /

tails, 1 / tails, 2 / tails, 3 / tails, 4

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

Answer:

is there a picture?

Step-by-step explanation:

Answer:

78.18

Step-by-step explanation:

73 times 1.071=78.183

Answer:

$78.11

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Answer:

dependent and 2/7

Step-by-step explanation:

dependent because you didn't replace it.

1/2 times 4/7 which is 4/14 which equals to 2/7

Answer:

Step-by-step explanation:

length² + width² = diagonal²

24² + width² = 40²

576 + width² = 1600

width² = 1600 - 576

width² = 1024

width = √1024 = √32*32

width = 32"

Width of the TV is more than 30"

Answer:

32

Step-by-step explanation:

First off, Bruh, 30" is not prime prime. That's 30 inches.

The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.

So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.

1600-576=1024.

So now, the root of 1024 is the base. Which is 32. Hope that helped.

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Answer:

y = -0.5x + 100

Step-by-step explanation:

Im not really sure what i was supposed to answer but i hope it helped.

Answer:

A.       y = −0.5x + 100  

Step-by-step explanation: