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Pani-rosa [81]
3 years ago
11

Dilbert invests a total of $33 000 in two accounts paying 6% and 10\% interest, respectively. How much was invested in each acco

unt if, after one year, the total interest was $ 2780?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

In the 6% account, 13,000 was deposited

In the 10% account, 20,000 was deposited

Step-by-step explanation:

Here, we are interested in calculating how much invested in each account

.

Let the amount invested be $x and $y

Mathematically;

x + y = 33,000 ••••(i)

Now let’s work with interest

6% of x + 10% of y = 2780

6/100 * x + 10/100 * y = 2780

Multiply through by 100

6x + 10y = 278000 •••••••••(ii)

From i, x = 33,000 -y

Put this into ii

6(33,000 -y) + 10y = 278000

198,000-6y + 10y = 278000

4y = 80000

y = 80,000/4 = 20,000

But x = 33,000 -y = 33,000 -20,000 = 13,000

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The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in sl
DerKrebs [107]
<h3>Answer:</h3>

y=-5x-2

<h3>Solution:</h3>
  • We are given the line's slope and a point that it passes through.
  • Using the given information, we can write the equation of the line in Point-Slope Form:
  • y-y_1=m(x-x_1)
  • In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
  • In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
  • Plug in the values:
  • y-(-12)=-5(x-2)
  • y+12=-5(x-2)
  • Now, convert into Slope-Intercept Form, y=mx+b:
  • y+12=-5x+10
  • y=-5x+10-12
  • y=-5x-2

Hope it helps.

Do comment if you have any query.

5 0
2 years ago
20 Points pls Help !
nekit [7.7K]

Answer:5 i think maybe sorry if wrong

Step-by-step explanation:

4 0
2 years ago
What is 10 times as many as 1 hundred
Karolina [17]
10×100=1000...............
6 0
2 years ago
How to simplify radicals into simplest radical form?
liraira [26]
An example should help :-

Simplify sqrt 20:-

sqrt 20  = sqrt (4 * 5) = sqrt 4 * sqrt5  = 2 sqrt5

cube root of 54  = cube root 27 * cube root 2  = 3 cube root 2

The rule is to factor the number and look for perfect squares or  cubes, etc.
6 0
3 years ago
Which of the following is an equivalent form of the compound inequality −33 &gt; −3x − 6 ≥ −6?
djyliett [7]

Answer:

-3x-6 < -33  and -3x-6 \geq -6

Step-by-step explanation:

we have

-33 > -3x-6 \geq -6

we know that

Compound inequality can be divided into two inequalities

so

-33 > -3x-6

rewrite

-3x-6 < -33

and

-3x-6 \geq -6

therefore

An equivalent form of the compound inequality is

-3x-6 < -33  and -3x-6 \geq -6

6 0
3 years ago
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