6m/n-3 m=5 and n=8 helpp if u get it right i will put u on brainlist

A total of $10,000 is invested in two mutual funds. The first account yields 5% and the second account yields 6%. How much was i

Aleks [24]

Answer:

$2,500 was invested in the first account while $7,500 was invested in the second account

Step-by-step explanation:

Here in this question, we want to find the amount which was invested in each of the accounts, given their individual interest rates and the total amount that was accorded as interest from the two investments

Now, since we do not know the amount invested , we shall be representing them with variables.

Let the amount invested in the first account be $x and the amount invested in the second account be $y

Since the total amount invested is $10,000, this means that the summation of both gives $10,000

Mathematically;

x + y = 10,000 ••••••(i)

now for the $x, we have an interest rate of 5%

This mathematically translates to an interest value of 5/100 * x = 5x/100

For the $y, we have an interest rate of 6% and this mathematically translates to a value of 6/100 * y= 6y/100

The addition of both interests, gives 575

Thus mathematically;

5x/100 + 6y/100 = 575

Multiplying through by 100, we have

5x + 6y = 57500 •••••••••(ii)

From 1, we can have x = 10,000-y

let’s substitute this into equation ii

5(10,000-y) + 6y = 57500

50,000-5y + 6y = 57500

50,000 + y = 57500

y = 57500-50,000

y = 7,500

Recall;

x = 10,000-y

so we have;

x = 10,000-7500 = 2,500

3 0

3 years ago

1. y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?

Alex

Answer:

Proportional relationship states that one in which two quantities vary directly with each other.

In other words, we say the variable y varies directly as x if:

$y = kx$ , where k is constant of proportionality.

(1)

Given: y and x varies a proportional relationship, and y = 7 and x=2

find the value of x when y =21

By the definition of proportional relationship;

y = kx ......[1]

Substitute the value y= 7 and x = 2 to solve for k;

$7 = 2k$

Divide by 2 to both sides we get;

$\frac{7}{2} =\frac{2k}{2}$

Simplify:

k = 3.5

Now, substitute the value of k = 3.5 and y =21 in equation [1] to find the value of x.

$21 = 3.5 x$

Divide both sides by 3.5 we get;

$\frac{21}{3.5} =\frac{3.5x}{3.5}$

Simplify:

x = 6

Therefore, the value of x is 6.

(2)

Given: y and x varies a proportional relationship, and y = 9 and x=2

find the value of y when x=3.

By the definition of proportional relationship;

y = kx ......[1]

Substitute the value y= 9 and x = 2 to solve for k;

$9 = k\cdot 2$

Divide by 2 to both sides we get;

$\frac{9}{2} =\frac{2k}{2}$

Simplify:

k = 4.5

Now, substitute the value of k = 4.5 and x=3 in equation [1] to find the value of y.

$y= 4.5 \cdot 3$

Simplify:

x = 13.5

Therefore, the value of y is 13.5.

(3)

From the given table,

y = 2.8 when x = 2

by the definition of proportional relationship;

$2.8 = k \cdot 2$

or

$2.8 =2k$

Divide by 2 to both sides, we get;

$\frac{2.8}{2} =\frac{2k}{2}$

Simplify:

k = 1.4

Therefore, the equation that represents the table is; y = 1.4 x

6 0

3 years ago

Please help brainiest will give you!

Degger [83]

The correct answer is B

7 0

3 years ago

PLEASE HELP ASAP i don’t have much time.

arlik [135]

Answer:

$x=-3, d=2, e=3$

Step-by-step explanation:

$\frac{9a^3b^5}{-3ab^2} =\frac{9}{-3} \cdot\frac{a^3}{a} \cdot \frac{b^5}{b^2}$

Recall how to divide exponents. For instance, $a^3/a^1=a^{3-1}=a^2$ .

$=-3a^2b^3$

Thus, $x=-3, d=2, e=3$

7 0

3 years ago

The angle of depression from a lifeguard in her chair to a person swimming in a pool is 38 degrees. If the height of the chair i

Naddik [55]

Answer:

15.36 feet

Step-by-step explanation:

We solve the above question using Trigonometric function of Tangent

Tan θ = Opposite /Adjacent

From the question

θ = 38°

Opposite = the height of the chair = 12 feet tall

Adjacent = the distance from the base of the lifeguard's chair to the swimmer = x

Hence:

tan 38° = 12/x

Cross Multiply

tan 38° × x = 12

x = 12/tan 38°

x = 15.359299586

x ≈ 15.36 feet

Hence, the distance from the base of the lifeguard's chair to the swimmer is 15.36 feet

6 0

3 years ago