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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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Multiplying to Fractions 
ExtremeBDS [4]

Answer:

B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

Step-by-step explanation:

For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.

For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.

For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.

For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.

For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.

I hope this helps, have a blessed day! :D

3 0
2 years ago
Add<br><br> -3/8 + 5/4<br><br> Simplify your answer. Type a fraction or an interger.
sdas [7]
Beautiful your answer is 7/8
7 0
3 years ago
Read 2 more answers
A test driver has to drive a car on a 1-mile track for two rounds in a way, that his average speed is 60 mph. On his first round
Darya [45]

(40+x)/2=60

40 +x = 120

x = 80


check :

40+80 = 120

120/2 = 60

 so his second round needs to be 80 mph

3 0
3 years ago
Find the distance between the points (2, 8) and (-1, 9).
klemol [59]
Distance = √(x2-x1)² + (y2-y1)²
= √(2+1)² + (8-9)²
= √3² + (-1²)
=  √ 3+1
= √4
= 2

In short, Your Answer would be 2 units

Hope this helps!
7 0
3 years ago
Read 2 more answers
What is the constant variation of 2x+y=-4?
jeka94

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

yeet yeet yeet

5 0
3 years ago
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