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3 years ago

12

Sandra saves 9% of her salary for retirement this year salary was 1000 more than in her previous year and she saved $4050 what w

as your salary in the previous year

1 answer:

allochka39001 [22]3 years ago

5 0

Answer:

$44,000

Step-by-step explanation:

The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:

x*0.09= 4,050

Now, you can isolate x to find her salary this year:

x=4,050/0.09= 45,000

Then, you have that this year salary was 1000 more than in her previous year. As you have found her salary for this year, you can subtract 1,000 from it to find her salary in the previous year:

45,000-1,000= 44,000

According to this, the answer is that her salary in the previous year was $44,000.

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Determine the intercepts of the line.<br> 4x – 1= 3y + 5<br> x-intercept:(_,_)<br> y-intercept:(_,_)

BARSIC [14]

Answer:

X-intercept: (1.5,0)

y-intercept: (0,-2)

the 1.5 can also be written as 3 over 2 in fraction form.

Hope this helps! :)

4 0

2 years ago

Last year, Nahla opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5

Inga [223]

Answer:

Step-by-step explanation:

7.5% would be 405. Honestly to find it quickly, i took 10% of 5400,which is 540 and divided that by 4 to get 135 and multiply that by 3 to get 7.5%, which is 405 increase. to get the money total add 405 to 5400 to get 5805

4 0

3 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

Please help me! I’m struggling so much: x-3y=3 2x+9y=11 (please find x and y plot points ill give brainliest!!)

Basile [38]

Answer:

CORRECT AMONDO

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If f(x) -V7-3, complete the following statement (round your answer

nikklg [1K]

Answer:

- 1.67

Step-by-step explanation:

f(x) = $\frac{3}{7+2}$ - $\sqrt{7-3}$

= $\frac{3}{9}$ - $\sqrt{4}$

= $\frac{1}{3}$ - 2

= - 1 $\frac{2}{3}$

= -1.6666666

= -1.67

5 0

2 years ago