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3 years ago

Sam is opening a saving account with $1,500 she got for her birthday. It

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

9 years

Step-by-step explanation:

Simple interest for any amount p is given by

SI = P*R*T/100

where R is the rate of interest

T is the time period in years

given

P =$1500

R = 4%

T we have to find

SI = $540

Thus, putting the given value in SI = P*R*T/100

540 = 1500*4*T/100

T = 540*100/1500*4 = 9 years

Thus, It will take 9 years for Sam to earn $540

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What is the solution to the system of equations y23x3 x 2

bija089 [108]

The Solution for the given system of equations is (-2) and $(\frac{5}{3})$ .

The given are linear equations as follow:
y = $\frac{2}{3}x$ + 3 .. ... ...(1)
and x = -2. .. .... ...(2)

We already know the first part of the solution (x) which is -2. We can find the other part (y) by putting the value of equation (2) in equation (1).

By putting the values of x in equation (1), we get

y = $(\frac{2}{3})(-2)$ + 3
y = $\frac{-4}{3}$ + 3

Taking the L. C. M of denominators which will be '3', we get:

y = $\frac{-4 + 9}{3}$

y = $\frac{5}{3}$

So the second part (y) of the solution of the given equation is $\frac{5}{3}$ .

Hence, the overall solution to the given system of equation is $(-2, \frac{5}{3})$ .

To learn more about the System of equations, click here

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1 year ago

15.18. Find the area of the region bounded by

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Answer:

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Step-by-step explanation:

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2 years ago

Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

step-3:

Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

now, we can complete square

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step-4:

Take sqrt both sides

$(x-3)=-\sqrt{6},(x-3)=\sqrt{6}$

step-5:

Add both sides by 3

we get

$x=3-\sqrt{6},x=3+\sqrt{6}$

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3 years ago

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(3,-1) for sure i took the test 100%
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