Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
Solution:
4/11 = 0.36
3/14 = 0.21
He still needs to play 0.15 of an hour or 3/20 of an hour.
Given facts - Amount he has to play, and the amount he played.
Question - For how long does he need to practice to meet the required time.
Hidden question - There is nothing hidden
Operations used - divisions (not necessary), subtractions and conversion (only if used division).
Number sentence - 4/11 - 3/14 = x
Answer - 3/10 of an hour.
Hope it helped,
Happy homework/ study/ exam!
Answer:

Step-by-step explanation:
<u>Simplifying Rational Expressions</u>
If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.
The expression is:

Operating on the numerators:

Removing parentheses:

Simplifying:

The expression cannot be further simplified.
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➷ Just substitute the given value into anywhere you see the term x:
2 x 4^2 + 12
Follow the PEMDAS rule:
(calculate the exponential first)
4^2 = 16
Now we have:
2 x 16 + 12
(now the multiplication needs to be calculated)
16 x 2 = 32
Now we have:
32 + 12
Add them together to get the answer:
44 <== this is the answer
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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Answer:
Point C is located on the x-axis.
Step-by-step explanation:
edge 2020