Santiago receives $251 Per year and simple interest from three investments. Part is invested at 2% part at 3% and part at 4%. There is $500 more invested at 3% then at 2%. The amount invested at 4% is six times the amount invested at 3%. Find the amount invested at each rate.

Answer:

Here's the answer

Step-by-step explanation

y= 18x+9.20

9514 1404 393

Answer:

Step-by-step explanation:

6 of the 10 bars are shaded, so the shaded area is 6/10 of the whole.

"Six tenths" as a decimal is 0.6, that is, a number with 6 in the tenths place.

To convert the number to a percent, multiply either the fraction or the decimal by 100%.

  0.6 × 100% = 60%

Answer:

The constant of proportionality is 490

The jet will take 12 hours to travel 5,880 miles

Step-by-step explanation: The miles multiply by 490 each time.

490 x 12 is 5,880

The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles

The time required is 12 hours

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance of the aircraft be = x

Let the total time taken by the aircraft be = y

Let the constant of proportionality be k

when x = 1 ,

y = 490

So , the equation will be y = kx

Substituting the values in the equation , we get

y = 490x

when x = 2

y = 490 ( 2 )

y = 980

Now , the time taken by aircraft to travel 5,880 miles is

Substitute the value of y as 5880 in the equation , we get

5880 = 490x

Divide by 490 on both sides of the equation , we get

x = 5880 / 490

x = 12

Therefore , the time taken is 12 hours

Hence , the constant of proportionality is 490

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Answer:

y = -23x + 85

Step-by-step explanation:

for an equation to be parallel to another, they must have the same slope. So plugging in (4, -7) we get -7 = -23(4) + P. P being the new y intercept we must find. Now simple algebra add -23(4) = -92 to both sides and we get 85 = P. Plug in to y = mx + b and we get

y = -23x + 85

Answer:  

Multiply 48 by .15, you get 7.20

Subtract 7.20 fro 48

Your answer is $40.80

Have a great day and thanksgiveing  break

Answer:

Step-by-step explanation:

Multiply 48 by .15, you get 7.20

Subtract 7.20 fro 48

Your answer is $40.80

does this help

Answer:

11

Step-by-step explanation:

Substitute 4 for x

2(4) +3

Answer:

11

Step-by-step explanation:

F(x) = 2x+3 is just a function, so if you replace one of the "x" with 4 you have to replace the other one so it just becomes

F(4) = 2(4) + 3 then you do 2(4) = 8 then add 3 to it and it gets you 11.

hope this helps

Answer: 56

Step-by-step explanation:

Answer:

2 cm

Step-by-step explanation:

Answer:

the answer is 2cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

The factors of 84 are: [tex]\pm: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, 7, 12 ...[/tex]

7 and 12 can make 5. Since 84 is negative and 5 is positive, the larger number of the two must be the positive number in the factorization. In this case, it is

[tex](x+12)(x-7)[/tex]

Answer:

(1 + 3i)(1 - 3i)

Step-by-step explanation:

The product of a complex number and its conjugate produce a real number.

given a ± bi the conjugate is a ∓ bi ← where a and b are real, then

(a + bi)(a - bi)

= a² - b² ← a real number

The only pair of conjugate complex numbers in the list is

(1 + 3i)(1 - 3i)

The pair of complex numbers that has a real-number product is:

(1 + 3) (1-3) = -8

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

For a pair of complex numbers to have a real-number product, their imaginary parts must cancel out when the product is expanded.

Let's expand each pair of complex numbers and see which one has a

real-number product:

(1 + 3) x (61) = 61 + 183i

This product has a non-zero imaginary part, so it is not a real number.

(1 + 3) x (2-3) = -5 + 5i

This product has a non-zero imaginary part, so it is not a real number.

(1 + 3) x (1-3) = -8

This product has no imaginary part, so it is a real number.

(1 + 3) x (31) = 124 + 124i

This product has a non-zero imaginary part, so it is not a real number.

Therefore,

The pair of complex numbers that has a real-number product is:

(1 + 3) (1-3) = -8

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Answer:

E

Step-by-step explanation:

Answer:

33.3333333

Step-by-step explanation:

Answer:

Answer:

a

Step-by-step explanation:

i just know

Answer:

(x - 20)(x - 1)

Step-by-step explanation:

Given

x² - 21x + 20

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (- 21)

The factors are - 20 and - 1 , since

- 20 × - 1 = + 20 and - 20 - 1 = - 21 , thus

x² - 21x + 20 =  (x - 20)(x - 1) ← in factored form

Answer:[tex](x-1)(x-20)[/tex]

Step-by-step explanation:

(x-1)(x-20)

[tex]x^{2}[/tex]-20x-1x+20

[tex]x^{2}[/tex]-21x+20

49.65 lbs

the pic is blurry so i hope i added right, but i believe all you had to do was add it all together

Answer:7?

Step-by-step explanation:

Rise 7

Run. 1

Answer:

-3/9

Step-by-step explanation:

m = 1 - 4/11 - 2 (this is the form it's in: m = y2 - y1/x2 - x1)

m = -3/9

rise: -3

run: 9

(m = slope)

if this doesn't make sense look up "how to find the slope of two points"

hope this helps!

Answer:

b

Step-by-step explanation:

I double checked, its b

Answer:

at least 1.7

Step-by-step explanation:

i think sorry if wrong

Answer:

Step-by-step explanation:

i believe the question is asking for slope

so for the first one: it's -1/2

second one: 3/2

Answer:

The answer is 5.

Step-by-step explanation:

That dot is basically a multiplication sign.

Answer:

the dot is a sign for multiplication. Sometimes people use "•" because "x" can sometimes confuses people because "x" is a variable in algebra as well

Step-by-step explanation:

Answer:

D. -1.5

Step-by-step explanation:

Answer:

is it 17/5?

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the equation of motion for a projectile moving un der gravity h = ut + (1/2)gt^2 where u = initial velocity, h = height, t = time and g = acceleration due to gravvity here u = 64 fts-1 and g = -32 ft s-2

Answer:

y= -3/2x + 2

Step-by-step explanation:

Answer:

It's supposed to be y=2

y is the dependent variable = -4 is slope and x is independent plus 2 which is y intercept

Answer:

x=2

y=-1

z=3

Step-by-step explanation:

X = 7+2y-z

3(7+2y-z)+y-z=2

21+6y-3z+y-z=2

21+7y-4z=2

7y-4z=-19 (subtract both side by 21)

2(7+2y-z)+3y+2z=7

14+4y-2z+3y+2z=7

14+7y=7

7y=-7 (subtract both side by 14)

y=-1 (divide both side by 7)

{7y-4z=-19

{y=-1

7.-1 - 4z=-19

-7-4z=-19

-4z=-12

Z=3

x=7+2y-z (y=-1 z=3)

x=7+2.-1 - 3

x=7-2-3

x=2

Answer:

Step-by-step explanation:

1). (B). Replace one equation with the sum/difference of both equation.

System B is

- 4x - 6y = 9 ........ (1B)

-4x + 3x = - x

- 6y + y = - 5y

9 - 4 = 5

- x - 5y = 5 ........ (2B)

2). Yes, both system are equivalent.