Evaluate x + y + z for x = 2, y = -3, z = -4.

1)

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &18 \end{cases} \\\\\\ I = (2000)(0.064)(18)\implies I=2304[/tex]

2)

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &30 \end{cases} \\\\\\ A=2000[1+(0.064)(30)]\implies A=2000(2.92)\implies A=5840[/tex]

Answer:

after 18 years : $477,685.19

after 30 years: $661,353.82

Step-by-step explanation:

interest formula: A=P(1+r/n)^nt

so...

2000(1+6.4/18)^18 = 477685.1913 rounds to $477,685.19

2000(1+6.4/30)^30 = 661353.8157 rounds to $661,353.82

Answer:

b is you answer hope it helps you

Answer:

GI = 72

Step-by-step explanation:

[tex]GI=48+HI[/tex]

[tex]\frac{48}{HI} =\frac{30}{15}[/tex]

[tex]HI=\frac{(48)(15)}{30} =\frac{720}{30} =24[/tex]

Then:

[tex]GI=48+24=72[/tex]

Hope this helps

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given}}[/tex]

[tex]\bold{\underline{To \: Find :- }}[/tex]

[tex]\bold{\underline{Let's \: Begin :- }}[/tex]

The coordinates of G = ( -6 , 5 )

The coordinates of H = ( 2 , - 7 )

According to the distance formula, we get :-

[tex]\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}[/tex]

Subsitute the required values in the above formula

[tex]\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}[/tex]

[tex]\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}[/tex]

[tex]\sf{Distance\:GH=√(-8)^2+(12)^2}[/tex]

[tex]\sf{ Distance \:GH =√64 + 144 }[/tex]

[tex]\sf{ Distance \:GH =√ 208}[/tex]

[tex]\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}[/tex]

[tex]\sf{ Distance \:GH = 4√13}[/tex]

[tex]\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}[/tex]

The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144  × 10¹².

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The two numbers are [tex]\rm 6.7*10^6 \ and \ 3.2 * 10^5[/tex]

Then find the product of these two numbers.

To multiply these terms is very simple.

First, multiple 6.7 and 3.2 simply. And the power of 10 gets added. That is

[tex](6.7*10^6) * (3.2 * 10^5) = 6.7 * 3.2 * 10^6 *10^5\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44* 10^{6+5}\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44 *10^{11}\\\\(6.7*10^6) * (3.2 * 10^5) = 2.144* 10^{12}[/tex]

The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144  × 10¹².

More about the multiplication link is given below.

https://brainly.com/question/19943359

The slope of an equation of a line is the number that is in front of the x,,

In y=4x-7 the slope would be 4

Answer: 4

The laws of cosines and law of sines can be used given that two sides

and an included angle, or two angles a side are known.

Response:

1. The other angles in the triangle formed by the buoy are approximately;

2. Distance of the helicopter from the first island is approximately;

Given parameters are;

Distance of the buoy from the easternmost point of a boat = 19 yards

Distance of the buoy from the westernmost point of the other boat = 15 yards

Angle formed from the buoy to the two boats = 108°

Distance between the two boats, d, is given by the law of cosines, as follows;

d² = 19² + 15² - 2 × 19 × 15 × cos(108°) = 586 - 570·cos(108°)

d = √(586 - 570·cos(108°))

By the law of Sines, we have;

[tex]\dfrac{d}{sin(108^{\circ})} = \mathbf{\dfrac{15}{sin(Angle \ formed \ from \ the \ boat \ on \ the \ West, \ \theta_1)}}[/tex]

Which gives;

[tex]sin(\theta_1) = \mathbf{ \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} }}[/tex]

The o

[tex]\theta_1 = arcsin \left( \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} } \right) \approx \mathbf{31.1^{\circ}}[/tex]

The other angles formed in the triangle containing the buoy are;

2. Distance between the two islands = 20 miles

Angle of elevation with one island = 15°

Angle of elevation with the second island = 35°

Required:

The mileage (distance travelled) of the helicopter.

Solution:

Let A represent the island that has an angle of elevation to the helicopter

of 15°, and let B represent the other island.

Angle formed by the helicopter and the two island, θ, is found as follows;

θ = 180° - (15° + 35°) = 130°

By the Law of Sines, we have;

[tex]\dfrac{20}{sin(130^{\circ})} = \mathbf{ \dfrac{Distance \ from \ island \ A }{sin(35^{\circ})}}[/tex]

Which gives;

[tex]Distance \ of \ helicopter \ from \ island \ A = \mathbf{ \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ})}[/tex]

[tex]Mileage \ from \ island \ A = \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ}) \times cos(15^{\circ}) \approx 14.5[/tex]

Learn more about the Law of Sines and Cosines here:

https://brainly.com/question/8242520

https://brainly.com/question/2491835

Answer:

a is greater by 25

Step-by-step explanation:

a is greater by 25 hope it helps

Answer:64

Step-by-step explanation:

a is greater

a is 64

Answer:

a. 0.43*125=

53.75

b. this is a little harder we need to find what the conversane is for ec to us

ec 0.43= 1 tt so

6.3*0.43

2.71 ec=1 us

850.94 divided by 2.71

314 us

Hope This Helps!!!

Answer:

x=10º

y=20º

Step-by-step explanation:

7x+90+20=180º

7x=70º

x=10º

5x+2y=90º

5(10)+2y=90

2y=40

y=20º

Please give me brainly o3o

Answer:

F = 27

Step-by-step explanation:

you subtract 27-9+4

Answer:

f = 27

Step-by-step explanation:

f - 9 + 4 = 22

f-5 = 22

Add the numbers

↓

f = 27

Answer:

The square root of 30 is a decimal 5.477...

Step-by-step explanation:

The square root of 30 = 5.477 rounded up is 5.5

Answer:

1/2 x base x height

Step-by-step explanation:

hope this helps!

Answer:

  55 ft

Step-by-step explanation:

The mirror is 10 times as far to the dinosaur as it is to Amir: 40 ft = 10×4 ft.

The triangles shown in the diagram are similar, so the height of the dinosaur will be 10 times Amir's eye height. In feet, Amir's eye height is 5 6/12 feet, or 5.5 feet. Ten times that is 55 feet.

The dinosaur is 55 feet tall.

Answer:

55ft

Step-by-step explanation:

Answer:

bro, i answered it already

in your previous question

the second 133.40

Answer:

[tex]=7x^2+8[/tex]

Step-by-step explanation:

[tex]5x^2+x^2+2+x^2+6[/tex]

[tex]=5x^2+x^2+x^2+2+6[/tex]

[tex]=5x^2+x^2+x^2+8[/tex]

[tex]=7x^2+8[/tex]

Brainliest?!

Answer:

love

Step-by-step explanation:

Answer:

$173.70

Step-by-step explanation:

350-4(18.45)-2(51.25)=173.70

Answer:

B) 80 m

Step-by-step explanation:

Let W = width

Let L = length

perimeter of a rectangle = 2 x width + 2 x length = 2(W + L)

If the perimeter of a rectangle = 20 m

⇒ 2(W + L) = 20

If we multiply both its length and width by 4:

Width = 4W

Length = 4L

⇒ perimeter = 2(4W + 4L) = 8(W + L)

As 2(W + L) = 20

Then 8(W + L) = 4 x 2(W + L) = 4 x 20 = 80 m

Answer  The awnser is the 2x69, by 75 and 35 by 39x4 and 3 5ths .

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

150+16%=174

174 - 32% = 118.32

118.32=118(to nearest whole number)

Answer:118

Step-by-step explanation:

Answer:

The answer is San Francisco.

Step-by-step explanation:

For New York City, when there 0 miles traveled the total cost is $2.50, where as in San Francisco it is $2.85.

As you can see San Francisco has a higher rate of ($2.85).

Hope that helps!

Answer:

True

Step-by-step explanation:

3² = 9  ⇒ odd

7² = 49 ⇒ odd

9² = 81 ⇒ odd

Therefore, the square of an odd number is always odd.

Proof

If n is an odd number, it can be written as n = 2k + 1, for some integer k.

Therefore, n² = (2k + 1)²

                      = 4k² + 4k + 1

                      = 2(2k² + 2k) + 1

As 2(2k² + 2k) + 1 is odd, this proves that the square of an odd number is always odd.

Answer: P=2(l+w)=2·(1.5+4)=11 is the answr

Step-by-step explanation:

Answer:

23/5

Step-by-step explanation:

4 3/5 = 23/5
first multiply 4 x 5 then multiply that answer by 3

then you get 23/5 the denominator stays the same
I hope this helps and I hope this is the right answer for your hw/test

Answer:

mS.G = 68

*NOTE: If units are needed, then put a degree symbol (68°), but since the measure of the other arc which is arc F.G has no degree symbol, then I didn't use a degree symbol.

Step-by-step explanation:

It wouldn't let me submit my explanation, but I took a screenshot, so here

Answer:

a because that what I got

we know that opposite sides are parallel, or namely that the figure is a parallelogram, meaning as well that opposite sides are equal, Check the picture below.

Answer:

1. variable = x

2. constant = 1,  variable = a

3. variables = x and y

4. variables = r and s

5. constant = -11, variables = a and b

Step-by-step explanation:

1. variable = x

2. constant = 1,  variable = a

3. variables = x and y

4. variables = r and s

5. constant = -11, variables = a and b

Answer:

An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

"in any triangle, the longest side is opposite the largest angle"

Step-by-step explanation:

Answer:

an angle is a In-plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. An angle is denoted using the symbol. and you can describe an angle by looking for the figure formed by two rays meeting at a common end point.

Step-by-step explanation:

hope this helps you