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elena-14-01-66 [18.8K]
3 years ago
9

5 × 10 to the power of 22 is how many times greater than 1 × 10 to the power of 21

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:

50 times greater

Step-by-step explanation:

If there are two numbers A and B, where A is greater than B,

If we want to find how many times greater A is to B, we simply divide, so that would be

A/B

Now, we have

5*10^{22}

and

1*10^{21}

We simply need to divide to find how much greater is the first number than the second number. Remember dividing numbers in scientific notation:

\frac{a*10^b}{c*10^d}\\=(\frac{a}{c})*10^{b-d}

Thus, we have:

\frac{5*10^{22}}{1*10^{21}}\\=(\frac{5}{1})*10^{22-21}\\=5*10^{1}\\=5*10\\=50

So the first number is 50 times greater than the second

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What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
Evaluate the expression when a = -5 and b = 4
Gwar [14]

Answer:

could you please explain me the exact question

8 0
3 years ago
The diagram shows a solid shape.
Stolb23 [73]

Answer:

756\pi

Solution,

Volume of cone=270 pi cm^3

\frac{1}{3} \pi \:  {r}^{2}  = 270\pi \\ or \:  {r}^{2}  \times 10 =   270 \times 3 \\ or \:  {r}^{2}  \times 10 = 810 \\ or \:  {r}^{2}  =  \frac{810}{10}  \\ or \:  {r}^{2}  = 81 \\ or \: r =  \sqrt{81}  \\ or \: r =  \sqrt{ {9}^{2} }  \\ r = 9 \: cm

Volume of semisphere:

\frac{2}{3} \pi {r}^{3}  \\  = \:  \frac{2}{3}  \times \pi \times 9 \times 9 \times 9 \\  = 486\pi

Total:

270\pi + 486\pi \\  = 756\pi

hope this helps...

Good luck on your assignment..

6 0
2 years ago
Pls I need help with this
tigry1 [53]

Answer:

umm I think I know hold on

6 0
3 years ago
Jackie mowed a lawn today to earn some extra money. She spent $1.90 on fuel and $4.65 on lunch. She charged $12.50 to mow the la
vodka [1.7K]
4.65+1.90= 6.55
12.50-6.55= 5.95

So a is your answer
6 0
3 years ago
Read 2 more answers
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