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3 years ago

HELP! will give brainliest if you show work on how to get this answer below!

Mathematics

2 answers:

irinina [24]3 years ago

5 0

Kekskekeke

Step-by-step explanation:njbnmmk

Semenov [28]3 years ago

3 0

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

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Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments

Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

$A(t) = A(0)(1+r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

$A(t) = A(0)(1+r)^t$

$A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\$

It will reach $450 after t years, for which A(t) = 450, hence:

$A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9$

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

#SPJ4 .

3 0

1 year ago

Can someone help me please? Use the linear combination method to solve the system of equations. Pretty please show your work and

Pavel [41]

Answer:

(x, y) = (4, -3)

Step-by-step explanation:

x-3y=13
2x+4y=-4

First of all, look at the given equations. Here, we see that the second equation has coefficients that all have a factor of 2. If we divide that out, we get an equation that has an x-coefficient of 1, matching the x-coefficient in the first equation.

Here is the reduced second equation:

x +2y = -2

Now, if we subtract one equation from the other, the variable x will be eliminated. We want to choose that subtraction wisely.

We note that the y-coefficient in the first equation is less than that in the second equation. If we subtract the first equation from the second, the result will have a positive y-coefficient:

(x +2y) -(x -3y) = (-2) -(13)

5y = -15 . . . . . . . . . . . . . . . . simplify. Note that the x-variable is eliminated, which is the purpose of this exercise.

y = -3 . . . . . . . divide by 5

We can use this value in the reduced second equation to find the value of x:

x +2(-3) = -2

x = 4 . . . . . . . . . add 6 and simplify

The solution is (x, y) = (4, -3).

_____

I find a graphing calculator provides an easy and reliable check of the answer.

_____

Comment on linear combination

This method is often called "elimination," because the purpose of combining the equations in a particular way is to eliminate one of the variables. This requires you look at the coefficients of the variables and devise a plan to combine them so the resulting coefficient for one of the variables is zero.

In the worst case, you can combine ...

ax +by = c
dx +ey = f

by multiplying the second equation by a and the first by -d:

a(dx +ey) -d(ax +by) = a( f) -d(c)

y(ae -bd) = fa -cd . . . . . . simplify; x is eliminated

This sort of approach results in a formula for the solution known as Cramer's Rule.

y = (fa-cd)/(ae-bd)

The corresponding solution for x is ...

x = (ce-bf)/(ae-bd)

The point of looking at the equations first is that you can often choose which variable to eliminate and what multiplier to use to minimize the amount of arithmetic involved—as we did above.