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Dmitrij [34]
3 years ago
9

A useful rule of thumb called the "rule of 70" states that if something grows at a constant rate of z percent per year, it doubl

es in size approximately every __________ years.
a. z/70
b. 70/z
c. 70 - z
d. 70 × (z/100)
Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0
<span>The answer is b. (70/z). If I put $100 into a savings account and the annual growth rate is 10%, the 70/10%= 7 years that the initial $100 would take to double.</span>
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Dominik [7]

1. X=5

2. X=-5

3. Y=10

Step-by-step explanation:

those are the answers

8 0
3 years ago
Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
yarga [219]

Answer:

<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0
3 years ago
What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?
Anna [14]

Answer:

(-7,-4)

Step-by-step explanation:

-6-1=-7

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