Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.

Answer:

88.4

Step-by-step explanation:

33.5 + 45.9 = 88.4

The length of the city train is 79.4 feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the Bus = 33.5 feet.

Length of the City train:

= Length of the Bus + 45.9

= 33.5 + 45.9

= 79.4 feet.

Thus,

The city train is 79.4 feet.

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Answer:

(0, -5)

Step-by-step explanation:

The answer is in the equation you gave for the line. In the formula for the equation of a line, y = mx + b, b is the y-intercept, and since because the y-intercept is shown in a graph in the form of (0,b), the answer is (0, -5).

Answer:

B

Step-by-step explanation:

I just put in in the desmos graphing calculator

Answer:

[tex]\sf 5x-y=5 \\ \sf 2y-x=11 [/tex]

[tex]\sf 5x-y=5\dots\dots(1)[/tex]

[tex]\sf -x+2y=11 \dots\dots (2)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 10x-2y=5\dots\dots(3)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x+2y=11\dots\dots (4)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x=16 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {16}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=4 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -4+2y=11[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2y=11+4 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2y=15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {15}{2}}[/tex]

[tex]\therefore[/tex][tex]\sf (x,y)=(4,{\dfrac {5}{2}})[/tex]

Answer:

(3, 10 ) and (7, 30 )

Step-by-step explanation:

Given the 2 equations

5x - y = 5 → (1)

2y - x² = 11 → (2)

Rearrange (1) expressing y in terms of x

y = 5x - 5 → (3)

Substitute y = 5x - 5 into (2)

2(5x - 5) - x² = 11

10x - 10 - x² = 11 ← rearrange into standard form

x² - 10x + 21 = 0 ← in standard form

(x - 3)(x - 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 7 = 0 ⇒ x = 7

Substitute these values into (3) for corresponding values of y

x = 3 → y = 5(3) - 5 = 15 - 5 = 10 ⇒ (3, 10 )

x = 7 → y = 5(7) - 5 = 35 - 5 = 30 ⇒ (7, 30 )

Answer:

84

It took a while

Answer: x=50

Step-by-step explanation:

Use the distributive property to multiply -0.2 by x-20.

-0.2x+4=44-x

Add x to both sides.

-0.2x+4+x=44

Combine -0.2x and x to get 0.8x.

0.8x+4=44

Subtract 4 from both sides.

0.8x=44-4

Subtract 4 from 44 to get 40.

0.8x=40

Divide both sides by 0.8.

x=40/0.8

Expand 40/0.8 approx 50 by multiplying both numerator and the denominator by 10.

X=400/8

Divide 400 by 8 to get 50.

x=50

Answer: i have no idea what number you tried to say but here are a few options for what it could be...

the absolute value of -3 is 3

the absolute value of 8 is 8

the absolute value of -3/8 is 3/8

the absolute value of -38 is 38

Step-by-step explanation:

absolute value means how far the number is from zero, it does not take into account whether the number is positive or negative

Answer:

B. is your answer dear

Step-by-step explanation:

0.44*50+23

22+23 = 45

hope you got it.

Answer:

Step-by-step explanation:

y - 2 = 2(x + 3)

y - 2 = 2x + 6

y = 2x + 8

Answer:

Step-by-step explanation:

Given m=-3/5 ; c = -2

y =mx + c

y= (-3/5)x -2

Answer:

y= 1/2x + -3

Step-by-step explanation:

it starts at -3, and climbs by 1/2 points every time. (remember, 1/2 can be read as rise/run. Rise one, run 2)

Answer: Claire

Jason = 3/16

Claire = 4/16

Step-by-step explanation:

1/4 x 16 = 4

4/16

Answer:

ITS SPANISH ENGLSIH PLEZ

Step-by-step explanation:

Answer:

1.3??

Step-by-step explanation:

Answer:

130%

Step-by-step explanation:

Let x be the unknown number.

of the unknown number = [tex]\frac{13}{10}[/tex] [tex]x^{}[/tex]= 1.3x

We need to find the [tex]\frac{13}{10}[/tex] of a number is what percent of that number.

%=[tex]\frac{new value}{Inital Value}[/tex] x 100

Substitute 1.3x for new value and x for initial value in the above formula.

%=[tex]\frac{1.3x}{x}[/tex]x 100

Cancel out the common factors.

%= 1.3 x 100

%= 130

Therefore, [tex]\frac{13}{10}[/tex] of a number is 130% of that number.

Answer:

The answer is <

Step-by-step explanation:

Nothing

Answer:

c

Step-by-step explanation:

becuase 20+60 is 80

Answer:

A 62°

B 118°

C 62°

D 118°

E 50°

F 58°

G 120°

H 120°

I 120°

J 60°

K 60°

L 60°

M 120°

N 120°

O

P 60°

Q 35.5°

R 49°

S 35.5°

T 109°

U 71°

V 109°

W 60°

Answer:

Step-by-step explanation:

Correct option is C

Answer:

87

Step-by-step explanation:

24

___

100

yesssa above is right

Answer: 6/25 or 0.24! :)

9514 1404 393

Answer:

  7 square feet per student

Step-by-step explanation:

To find "A per B", divide the quantity of A by the quantity of B. It can help to keep the units with the numbers.

Here, you want area per student, so divide area by students:

  area per student = (357 ft²)/(51 students) = 7 ft²/student

The relationship is 7 square feet per student.

Answer:

81.859%

Step-by-step explanation:

We solve the question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 7 mph

For x = 66 mph

z = 66 - 80/7

z = -2

Probability value from Z-Table:

P(x = 66) = 0.02275

For x = 87 mph

z = 87 - 80/7

z = 1

Probabilith value from Z-Table:

P(x = 87) = 0.84134

The probability of the trials will give the DeLorean a speed between 66 mph and 87 mph is calculated as:

P(x = 87 mph) - P(x = 66 mph)

0.84134 - 0.02275

= 0.81859

The percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?

100 × 0.81859

81.859%

The value of g(-4) is 1. The correct option is C

A function that has a different sub-function for different intervals of the domain is called  Piece-Wise Function

The functions for the different interval is

g(x)= [tex]\rm \sqrt[3]{x+5}[/tex] , x ≤ -4

     = -x² +11 , x > -4

The value of g(-4) will be determined by using g(x)= [tex]\rm \sqrt[3]{x+5}[/tex]

Substituting the value x = -4

g(x) = [tex]\rm \sqrt[3]{-4+5}[/tex]

g(x) = ∛1

g(x) = 1

Therefore, The value of g(-4) is 1. The correct option is C

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Answer:

The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ... After a dilation, the pre-image and image have the same shape but not the same size. ... 5. distance is NOT preserved (lengths of segments are NOT the same in all ... of dilation (-4,-9), move 16 units up and 4 units to the right to find C' at (0,7).

Step-by-step explanation:

hope this helps

If th3 coordinate point is dilated by a factor of 2, then the resulting coordinate will be at (-14, 10)

Given the coordinate point (x, y), if this coordinate is dilated by a factor "k", the resulting coordinate will be at (kx, ky)

Note that each of the coordinates was multiplied by a scale factor

For the given coordinate (-7, 5), if this coordinate point is dilated by a factor of 2, then the resulting coordinate will be at (-14, 10)

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Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Answer:

not enough info, make another question with the problem attached

Step-by-step explanation:

Answer:

What we have to find?

.....

Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

The value of her investment at the end of 7 years is $11804

The given parameters are

Principal, P = $5000

Rate, r = 4.5%

Time, t = 7 years

The value is then calculated as:

Value = P * P(1 + r)^t

So, we have:

Value = 5000 + 5000 * (1 + 4.5%)^7

Evaluate the expression

Value = 11804

Hence, the value of her investment at the end of 7 years is $11804

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