Damien deposited $250 in an account that earned 3.75% interest compounded annually. He did not make additional deposits or withdrawals. What will be the balance in this account at the end of 4 years? $127.26 $287.50 $289.66 $370.50

Answer:

66°

Step-by-step explanation:

It is given that :

Distance of the satellite from the tower = 2000 m

Height of the satellite above the tower = 4500 m

Therefore the angle of elevation can be found out by :

[tex]$\tan \theta = \frac{4500}{2000}$[/tex]

[tex]$\tan \theta = \frac{9}{4}$[/tex]

[tex]$\tan \theta = 2.25$[/tex]

[tex]$\theta = \tan^{-1}(2.25)$[/tex]

  [tex]$= 66 ^\circ$[/tex]

Therefore the tower can make contact with GPS satellite when it pointed at 66° angle.

Answer:

Step-by-step explanation:

Actually, you are to put this expression into standard form, with no radical in the denominator.  There's no equation here, just an expression.

3/(2√3) is to be multiplied by √3 to remove the radical from the denominator:

 3        √3        3√3           √3      

------- * ------ = ------------- = -------

2√3      √3           6             2

Answer:

Its just a tv

Step-by-step explanation:

Answer:

3d

Step-by-step explanation:

3 miles per day

if he runs for two days he runs 6 miles 3(2)

etc etc

Answer:

42

Step-by-step explanation:

In order to find the answer to this question, I had to multiply 35 times 6/5.

35x6/5=42

You can check to make sure your answer is right by doing: 42x5/6=35.

You just have to multiply the number that we are using by the reciprocal of the fraction.

For instance: 2/3 of what number is 32

32x3/2= 48

48x2/3=32

The requried number is 42, where 5/6 of 42 is 35.

Fraction is defined as the number of compositions that constitutes the Whole.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42

Thus, the requried number is 42, where 5/6 of 42 is 35.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ2

Answer:

therefore ned spent 1 hour and 10 minutes completing the race.

Answer:

J+12=25  J=25-12

J=13

K-16=4 K=4+16

K=20

C+8=12 C=12-8

C=4

R / 10 =4 R =4 x 10

R=40

64=16 x U. U= 64 / 16

U=4

3 x v = 12  V = 12 / 3

V= 4

Step-by-step explanation:

J=13

K=20

C=4

R=40

U=4

V= 4

Answer:

486 feet squared

Step-by-step explanation:

Answer:

It's 7!

Step-by-step explanation:

Answer:

(1664π)/7

Step-by-step explanation:

We first need to know the points of intersection of the two functions, y = x³ and y = 4x.

To do this, we equate both functions

x³ = 4x

x³– 4x = 0

x(x² – 4) = 0

x(x – 2)(x + 2) = 0

x = 0, x = 2 and x = –2

Since we are looking for the volume formed by rotating the region inside the FIRST QUADRANT, then the needed points of x are 0 and 2. These are our limits of integration.

The formula for the area of the solid is

[tex] \int\limits^2_0 {\pi (4x)^3} \, dx -\int\limits^2_0 {\pi (x^3)^3} \, dx [/tex]

This gives:

[tex] \int\limits^2_0 {64\pi x^3} \, dx -\int\limits^2_0 {\pi x^6} \, dx [/tex]

On integration, we have

16π(2⁴) – π(2^7)/7

=

256π – 128π/7

= (1792π – 128π)/7

= (1664π)/7

Answer:

Answer:

x = (4√3)/3 units

Step-by-step explanation:

Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.

Now, Sin 60° = Opp. /Hyp Sin 60° = 2/x But we know that, Sin 60° = √3/2 So,√3/2 = 2/x Cross multiplying we get,

x√3 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units

Hope it helped and believing you understood it........All the

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

basically b = square root x times c

b= x

x= 2

c= 2+7 or the full length

Answer:

Step-by-step explanation:

Answer:

X^2-6x+8 -X+2=0

X^2-7x+10=0

(X-5)(X-2)=0

Answer X= 5 and X=2

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

24% × 0.75 =

(24 ÷ 100) × 0.75 =

(24 × 0.75) ÷ 100 =

18 ÷ 100 =

0.18

brainliest please?

Answer:

0

Step-by-step explanation:

Probability = required outcome / Total possible outcomes

Total possible outcomes = (blue slice + yellow slice) = (2 + 6) = 8

Required outcome = number of red slices = 0

Probability of stopping on a red slice :

(0 / 8) = 0

Answer:

126.0000

Step-by-step explanation:

Answer:

7. Can't see the triangle

8. F

9. D

Step-by-step explanation:

8.  [tex]15*\frac{1}{4} = 3\frac{3}{4}[/tex]      [tex]16*\frac{1}{4} =4[/tex]    

9.  An obtuse angle is any angle bigger than [tex]90^{o}[/tex] (right angle) but smaller than [tex]180^{o}[/tex] (reflex angle)

Answer:

Explanation:

reflected across the x-axis: the y is negative (2 eliminated)

vertically stretched by a factor of 2 (they're all stretched by a factor of 2)

translated left 3 units (1 eliminated)

translated down 5 units (4 eliminated)

3 is left which is y = -2√(x+3) - 5

Answer:

C, or D

Step-by-step explanation:

The answer is C, or D

Answer:

8 x + 14

Step-by-step explanation:

2(4x+7)

2×4x +2×7 =

8x+14

Answer:

3.36

Explanation:

1.12x3=3.36

I hope it's helpful

Answer:

3.5×10^4=35000

Step-by-step explanation:

Consider the value

3.5

we are saying that we are counting in units (1's) in that we have

3

1

2

of 1's

'.....................................................................................

Consider the value

3.5

×

10

. Now we are saying we have

3

1

2

of tens. That is; 3 lots of 10 is 30 and

1

2

of 10 is 5 so we have

30

+

5

=

35

'.................................................................................

Note that

10

2

is 100

Consider the value

3.5

×

10

2

. Now we are saying we have

3

1

2

of

100

'

s

So if we are counting in 100's then the decimal point stays where

it is and we move the number of 3.5 to the left until the

3 becomes hundreds.

Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.

3.5

×

10

2

−−−−−−−−−−−−−−−−−−→

slide to the left 2 places

350.0

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

Answer:

The difference in square feet is 75 square feet.

Step-by-step explanation:

Formula for area of a rectangle: Area = length x width

Current measurements: 12 by 10, so

A = 12 x 10 = 120 square feet

New measurements: 15 by 13 (adding 3 feet to each)

A = 15 x 13 = 195 square feet

Subtract to find the difference:

195-120 = 75

Please let me know if you have questions.

For Pitch Trax question, I'd say pitchers

For the def of technology, science of problem solving

For the automoblies and jets, answer should be trains.

For the last question, I think the answer you had is right.

I'm so sorry if anything of these are wrong.

Answer:

896pi

Step-by-step explanation:

pi(8)^2(14)