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Basile [38]
3 years ago
13

A team of cancer research specialists received a grant of $500,000 to be used for cancer research. They deposited some of the mo

ney in a 10% simple interest account and the remainder in an 9% annual simple interest account. How much was deposited in each account if the annual interest is $49,500?
Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

  • $450,000 at 10%
  • $50,000 at 9%

Step-by-step explanation:

Let x represent the amount invested at 10%. Then the total interest earned per year is ...

  0.10x + 0.09(500,000-x) = 49,500

  0.01x = 49500 -45000

  x = 4500/0.01 = 450,000

$450,000 was deposited in the 10% account; $50,000 was deposited in the 9% account.

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Identify the graph of the following equation. x>2
ra1l [238]

Answer:

Since x=2 is a vertical line, there is no y-intercept and the slope is undefined.

Step-by-step explanation:

5 0
3 years ago
20 points! I would really like some help! :) (Question attached below)
snow_lady [41]

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

(\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) =

= \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6

= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}

= \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2}

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

4 0
3 years ago
PLEAASE HELP DUE TODAY
Kryger [21]

Answer:

I'm not sure but try 13.5.

Step-by-step explanation:

It might not be correct sorry

8 0
3 years ago
HELP PLS GIVING BRAINLIEST
Setler79 [48]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx+b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

(0,1)\\(1, -2)

We found the slope:

m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3

So, the equation is of the form:

y = -3x + b

We substitute a point to find "b":

1 = -3 (0) + b\\1 = b

Finally, the equation is:

y = -3x+1

Answer:

Option C

8 0
3 years ago
Simplify the expression:<br><br> 5x + 8 – 13y – 4x – 18 + 16y
aleksandrvk [35]

\text{Hey there!}

\text{Simply the equation: 5x + 8 - 13y - 4x - 18 + 16y}

\text{First you have to combine the \bf{like-terms}}

\text{5x-4x = 1x}

\text{-13y + 16y = 3y}

\text{8 + (-18) = -10}

\boxed{\boxed{\bf{Answer: 1x + 3y - 10}}}\checkmark

~\frak{LoveYourselfFirst:)}

4 0
3 years ago
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