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DedPeter [7]
3 years ago
10

Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 p

ercent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?
Mathematics
1 answer:
il63 [147K]3 years ago
6 0

9514 1404 393

Answer:

  • $10,000 at 5%
  • $22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

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Given: Isosceles TriangleDEF. The measure of vertex Angle D is four times the measure of each base angle E and F.
777dan777 [17]

Answer:

D = 120° , E = 30° , F = 30°

Step-by-step explanation:

Let D = 4x

Let E&F = x

4x + x + × = 180°[angles in triangle is 180°]

6x = 180°

x = 180/6

x = 30°

E = 30°

F =30°

D =4(30°)

=120°

(Correct me if i am wrong)

4 0
3 years ago
The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

4 0
3 years ago
What is -15 2/3 + (-5 2/3)
solniwko [45]

Answer is -21 1/3

-15 2/3

+  -5 2/3

-------------

Answer is 21 1/3

7 0
3 years ago
Read 2 more answers
PLEASE!! HELP!!
anygoal [31]

Answer:

2nd dot from the left (in the 1.7 column)

Step-by-step explanation:

the square root of 3 is 1.73

each interval on that number line goes by one tenths

(1.1, 1.2, 1.3, etc.)

so counting 7 spaces from the number one should land you at 1.7

(the second red dot from the left)

hope i was able to help!

5 0
3 years ago
Which one answers this equation
alexgriva [62]
/ (divided by) I think it is right
3 0
3 years ago
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