After 16 years in an account with a 5.9% annual interest rate compounded continuously, an investment is worth a total of $37,950.24. What is the value of the principal investment? Round the answer to the nearest penny. $14,765.24 $14,859.72 $23,185.00 $23,090.52

Answer:

Step-by-step explanation:

None of the choices has a slope of 1/7

Answer:

Q

=

n

i

=

1

(

Yi

−

(

β

0

+

β

1

X

i))

2

Answer:

99717

Step-by-step explanation:

Use PEMDAS

P stands for parenthesis so you do 7 x 7 first. It equals 49. E stands for exponents but there aren't no exponents. M stands for multiplying so you multiply 10 x 6 = 60. Then 60 x 49 = 2940. 8 x 6 = 48. 48 times 6 is 288. 288 x 6 is 1728. 1728 x 7 is 12096. 12096 x 8 is 96768. The A in PEMDAS is addition. 9+2940 equals 2949. 2949 + 96768  = 99717.

Answer: the answer is B.

Step-by-step explanation:

The correct equation which reveals the maximum height reached by the model rocket is,

h = - 16 (t + 4)² - 304

What is Quadratic equation?

An equation of order 2 in highest variable is called a Quadratic equation.

Given that;

The equation is,

H = -16t² + 128t + 48

Now, The equation which reveals the maximum height reached by the model rocket is find as;

H = -16t² + 128t + 48

h = -16(t² + 8t) + 48

h = -16 (t² + 8t) + 256 - 256 + 48

h = -16 (t² + 8t + 16) + 256 + 48

h = -16 (t + 4)² + 304

Thus, The correct equation which reveals the maximum height reached by the model rocket is,

h = - 16 (t + 4)² - 304

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Answer:

0.222

Step-by-step explanation:

out of 36 outcomes you have 8 possible outcomes for a '4' or '6':

1,5

5,1

3,3

2,4

4,2

2,2

1,3

3,1

8/36 = 2/9 = .2 repeating

The probability that the dice faces add up to either 4 or 6 is 0.222.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Here, After two six sided dice are rolled,

Hence, Total outcomes = 36

So, Probability of getting sum 4 that is,  {(1, 3), (2, 2), (3, 1)};

P = 3/36    

And, Probability of getting sum 6 = 5/36

Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36

                                                                         = 8/36

                                                                         = 2/9

                                                                         = 0.222

Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.

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TAN: 45/28

SIN: 45/53

COS: 28/53

sin(x°) = opposite/hypotenuse

cos(x°) = adjacent/hypotenuse

tan(x°) = opposite/adjacent

x is any degree measure.

Hence option C (45/28) is correct

What are trigonometric rations?

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.

How to solve ?

Given θ

∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]

=45/28

= option c

Hence option C (45/28) is correct

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Answer:a

Step-by-step explanation:

Answer:

Step-by-step explanation:

9²+9²=162

√162 ≈12.7

so base is a right angled triangle with sides 12.7,9,9

area of base and top=2×1/2×9×9=81 cm²

area of sides=(9+9+12.7)×8

=30.7×8=245.6 cm ²

total surface are =81+245.6=326.6 cm²

volume=1/2 ×9×9×8=324 cm³

Answer:

12 feet

Step-by-step explanation:

The ladder is 12 feet up the wall.

The ladder forms a right triangle with the wall and the ground. You want to use Pythagorean theorem to solve the problem. a2+b2 = c2

Use the Pythagorean Theorem (a2+b2=c2) where b=9 and c=15. Solve for a.

(hope this helps can i plz have brainlist :D hehe)

Answer:

there's 18 thirds in 6 wholes

Answer:

answer b :) i hope this helps

Answer:

1. 32

2. 4.7

3. 3

Step-by-step explanation:

4*8=32

6.5-1.8= 4.7

18/6=3 or 18 divided by 6 = 3

Answer:

1.13 food per square feet

Step-by-step explanation:

Given

Dimension: 50ft by 35ft

Servings = 1975

Required

Determine the amount per servings

First, we calculate the area.

[tex]Area = 50ft * 35ft[/tex]

[tex]Area = 1750ft^2[/tex]

Next, we calculate the amount per square foot.

This is:

[tex]Rate = \frac{Serivings}{Area}[/tex]

This gives;

[tex]Rate = \frac{1975}{1750}[/tex]

[tex]Rate = 1.13[/tex]

Step-by-step explanation:

Here's another solution.

360-275-20=65

ratio 3:10

3x+10x=65

13x=65

x=5

5*3=15° and 5*10=50°

15° and 50° are the other two angles

Answer:

10 ft

Step-by-step explanation:

By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.

[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]

Answer: 10ft

Step-by-step explanation:

Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)

a=6ft ; b=8ft

6ft²= 36ft ; 8ft²= 64ft

36+64=100ft

√100= 10ft

Answer:

x = 120 degress

Step-by-step explanation:

I can help with more, I have the answers.

Answer:

378

Step-by-step explanation:

9 × 7 × 6 = 378

pls mark brainliest, if not, its ok :)

Answer:

14/3, or 4.6^bar

Step-by-step explanation:

first you'd just divide 7 by 9, resulting in [tex]\frac{7}{9}[/tex], or 0.7^bar.

Then you'd multiply either by 6, resulting in the answers above. Fractions are easier than infinite numbers, so if you're able to do that, I'd suggest you do so.

Hope this helped!

Answer:

actually need the numericals but attached

Step-by-step explanation:

if we take it as 1 km then it would be

home to cafe = 1 km

cafe to school =

[tex] \frac{1}{2} [/tex]

so it will be 1 + 1/2 that is

[tex]1 \frac{1}{2} km[/tex]

ok mark me as brainlist

Answer:

Step-by-step explanation:

Your answer

Let me think. 125 %,,,. So 1.25* 3.4= 4.25

New price = 7.65

Mark it as Brainlist answer. Follow me.

Answer:

The cost per gram for each bag is:

Small bag: 0.00314 £

Medium bag: 0.00335 £    

Large bag: 0.00305 £  

Step-by-step explanation:

Small bag:

If 175 g cost 0.55 £, 1 g will be:

[tex] \frac{1g*0.55 \£}{175\: g} = 0.00314 \£[/tex]

Medium bag:

If 525 g cost  £ 1.76, 1g will be:

[tex] \frac{1g*1.76 \£}{525\: g} = 0.00335 \£[/tex]    

Large bag:  

If 1150 g cost  £ 3.51, 1g will be:

[tex] \frac{1g*3.51 \£}{1150\: g} = 0.00305 \£[/tex]        

I hope it helps you!

Answer:

Yes. You can make a tree diagram with each subject at the top and the periods as the branches or with the periods at the top and each subject as a branch. Both ways provide the same number of​ outcomes, 18

Step-by-step explanation:

No, there is only one way to draw a tree diagram to model this situation.

An arrangement of objects where the order in which the objects are selected does not matter.

No, there is only one way to draw a tree diagram to model this situation. The reason for this is that the choices for the classes and periods are mutually exclusive and exhaustive.

Starting with the first branch, there are three possible classes (C, G, or P) that the sister can take.

From each of these branches, there are six possible periods (1 through 6) that the sister can take the class.

Therefore, the tree diagram will have 3 branches at the top level, each with 6 branches at the next level, for a total of 18 possible outcomes.

If we try to draw a different tree diagram, we will end up with the same possible outcomes, just with a different arrangement of the branches.

Hence, there is only one way to draw a tree diagram to model this situation.

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1. A = 1/4s squared, square root of 3

2. A = bh

3. A = pi(r) squared

4. A = 1/2 h (b1+ b2)

5. C = pi(d)

6. A = base x altitude

7. A = 1/2(ap)

8. A = 1/2(bh)

- regular polygon

- trapezoid

- rectangle

- parallelogram

- circle circumference

- equilateral triangle

- circle area

Answer:

Answers are below.

Step-by-step explanation:

1.  Equilateral triangle - A = 1/4 s^2 √3

2. Rectangle - A = bh

3. Circle circumference - C = πd

4. Trapezoid - A = 1/2 h (b1 + b2)

5. Parallelogram - A = base x altitude

6. Triangle - A = 1/2 bh

7. Regular polygon - A = 1/2 ap

8. Circle area - A = πr^2

Hope this helps.  

Answer:

C

Step-by-step explanation:

First, use the distributive property to open the parentheses:

-3x + 5x + 10

2x + 10

The correct answer is C

Kaitlin forgot to use the distributive property on both the x and 2.  

Hope this helps!

Answer: See explanation

Step-by-step explanation:

We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.

In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).

Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:

r-6 = 9

r = 9 + 6

r = 15

Check: 3r - 18

3(15) - 18 = 45 - 18 = 27

Answer:

8 litre

Step-by-step explanation:

very simple 120÷15=8

hope it helps you

please mark me as brainlist

Answer:

8y

Step-by-step explanation:

It's really simple! Because both of the variables are the same, You can just add it!

Hope this helps ^^