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Tatiana [17]
3 years ago
6

A total of $5000 is invested: part at 9% and the remainder at 14%. How much is invested at each rate if the annual interest is $

460?
Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

9514 1404 393

Answer:

  • $200 at 14%
  • $4800 at 9%

Step-by-step explanation:

Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...

  (14%)x +(9%)(5000 -x) = 460

  0.05x +450 = 460 . . . . . . . . . . simplify

  0.05x = 10 . . . . . . . . . . . . . . subtract 450

  x = 200 . . . . . . . . . . . . . . divide by 0.05

  5000-x = 5000-200 = 4800

$200 was invested at 14%; $4800 was invested at 9%.

You might be interested in
What should be added to twice a rational Number -7/3to get 3/7<br>​
saul85 [17]

Answer:

107/21

Step-by-step explanation:

re - phrase the question algebraically:

-14/3 + y = 3/7

LCM of 3 and 7  = 21

-98/21 + y = 9/21

what should be added to -98 to make 9?

answer: 107

therefore answer: 107/21

Hope this helps.

Good Luck

3 0
3 years ago
AN SOMEONE PLEASE HELP ME SOLVE THIS!!
stepan [7]

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667  (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

3 0
3 years ago
Please help i can’t do this and it’s due today please help !!
USPshnik [31]

Answer:

go 3 squares to the side and 2 squares up?

4 0
3 years ago
What is 650/1000 in simplest form
just olya [345]
When you simplify a fraction, remember to perform the same operation on both the numerator and the denominator, and that there may not be a decimal or a fraction as a numerator or denominator.
You could always start by dividing with the largest common factor that you can recall off the top of your head. I'll use 10 as an example. 
650/10 = 65. 1000/10 = 100.
You have now simplified the fraction down to 65/100. But wait! You can simplify this fraction down further. I'll use 5 now. 65/5 = 13. 100/5 = 20. You have simplified it down to 13/20. Because you know that 13 is a prime number, you know you have written the fraction in simplest form.
Hope that helped you!
(Hint: Use divisibility rules to help you divide faster.)
7 0
3 years ago
Need help on this one (listing BRAINLIST and giving points) ​=)​
Leto [7]

I hope this is help full to you

3 0
3 years ago
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