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Jet001 [13]
2 years ago
10

Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (1.5·10^3)^2

. The result as a decimal is .The result in scientific notation is · 10 . The result as a decimal is .
Mathematics
1 answer:
sertanlavr [38]2 years ago
7 0

Answer:

2.25 \times 10^{6}

2250000

Step-by-step explanation:

We have to express the result of (1.5 \times 10^{3} )^{2} in scientific notation and as a decimal.

Now, (1.5 \times 10^{3} )^{2}

= (1.5 \times 10^{3} ) \times (1.5 \times 10^{3} )

= (1.5 \times 1.5) \times (10^{3} \times 10^{3}  )

= 2.25 \times 10^{(3+3)}

= 2.25 \times 10^{6}

So, this is the answer in scientific notation.

And in decimal notation, it can be written as 2250000.

(Answer)

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4 0
3 years ago
Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

So, <em>the principal must be = $8991.88</em>

4 0
2 years ago
Please I need help with this and show your steps
Lorico [155]

Answer:

-30/15 or -2

Step-by-step explanation:

2+8 = 10

3+2 = 5

14-2 = 12

4-1 = 3

10/5 - 12/3

(Find GCF)(GCF = 15)(5 times 3)

30/15 (10/5 times 3)

60/15 (12/3 times 5)

30/15 - 60/15 = -30/15 --> -2(simplified to 2)

7 0
2 years ago
Read 2 more answers
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