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3 years ago

Which ratio is not equivalent to 3:4 ?

Mathematics

1 answer:

lions [1.4K]3 years ago

4 0

Answer:

36 minutes

Step-by-step explanation:

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Gabriel invests $9600 in two different accounts. The first account paid 13 %, the second account paid 6 % in interest. At the en

NeX [460]

Answer:The principal for the first account is $5000

The principal for second account is $4600

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P = principal

T = time in years

R = interest rate on the principal.

Let x represent the amount invested in the first account

Let y represent the amount invested in the second account

Gabriel invests $9600 in two different accounts. This means that

x + y = 9600 - - - - - - - -1

For first account, The interest rate is 13%. The duration is one year.

Therefore

P = x

T = 1 year

R = 13%

Therefore

I = (x × 13 × 1)/100

I = 0.13x

For second account, he interest rate is 6%. The duration is one year.

Let y represent the principal for the second account. Therefore

P = y

T = 1 year

R = 6

Therefore

I = (y × 6 × 1)/100

I = 0.06y

At the end of the first year he had earned $926 in interest. This means that

0.13x + 0.06y = 926 - - - - - - - -2

Substituting x = 9600 - y into equation 2, it becomes

0.13(9600 - y) + 0.06y = 926

1248 - 0.13y + 0.06y = 926

- 0.13y + 0.06y = 926 - 1248

- 0.07y = -322

y = - 322/- 0.07 = 4600

x = 9600 - y

x = 9600 - 4600

x = 5000

8 0

4 years ago

Theequationforlinegcanbewrittenas y = –9 4 x − 1 . Line h , whichisperpendiculartoline g , includesthepoint (10, 4) . What isthe

KATRIN_1 [288]

Answer:

y-4 = 4/9(x-10)

Step-by-step explanation:

Given the equation of the line g to be y = -9/4 x - 1.

To find the equation of a line h perpendicular to this line, the following steps must be taken;

First find the slope of the known line g

The standard equation of a line is y = mx+c where

m is the slope

c is the intercept

Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4

Next is to find the slope of the line h

Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1

mh = -1.mg

mh = -1/(-9/4)

mh = -1*-4/9

mh = 4/9

Hence the slope of the line h is 4/9

Find the intercept of line h

To get this, you will substitute the slope m and the point into the equation y = mx+c

m = 4/9

(x,y) = (10,4)

4 = 4/9(10) + c

4 = 40/9 + c

c = 4-40/9

c = (36-40)/9

c = -4/9

Hence the intercept of the line h is -4/9

Finally, find the equation of the line h in slope-intercept form

The slope-intercept form of a line is expressed as y = mx+c

y-y0 = m(x-x0)

Given

m = -4/9

x0 = 10

y0 = 4

Substitute:

y-4 = 4/9(x-10)

Hence the equation in slope-intercept form is y-4 = 4/9(x-10)

7 0

3 years ago

FIND THE NUMBER AND WRITE AN EQUATION FOR THE WORD PROBLEM: Brenda runs 4 miles every day. Write an equation to find the number

erastovalidia [21]

Brenda runs 20 miles in 5 days. 4 x 5 = 20.

4 0

3 years ago

Find the range of the function.

HACTEHA [7]

I think it’s gonna be D.

4 0

4 years ago

Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value. two parabolas open up with f of

Sloan [31]

Answer:

I believe that the answer is k=4.

Step-by-step explanation:

Because in order for a new function to be narrower than its parent function, the absolute value of k must be greater than 1 (k > 1), and for a new function to open in the same direction as its parent function, it must be positive, that leaves with only four as our answer.

4 0

3 years ago