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2 years ago

Write the given expression in terms of i : √-245

1 answer:

3 0

Okay, so first things first:
i = $\sqrt{-1} 
$
That said, no answer that has -245 is correct.

Now we just need to solve $\sqrt{245}$
245/5=5*49
$\sqrt{5} * \sqrt{49} = 7i*\sqrt{5}$
So, that's your answer, option D.

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A fish population in a lake decreases by 2% each year. What is the common ratio? (Write your answer as a decimal)

galina1969 [7]

Answer:

the common ratio is 0.98.

Step-by-step explanation:

A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.

The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%

Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,

98% = $\frac{98}{100}=0.98$

Therefore, the common ratio or decay factor is 0.98.

8 0

2 years ago

The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1

bekas [8.4K]

$5.15 - w = minimum wage in 1996

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2 years ago

16 2/3% of 21.6 is?

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

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3 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

3) If it takes 3/29 of the coal for the train to go 1 mile, how much of the coal would it take to go 6.3 miles?

nevsk [136]

Answer:

18.9/29 or 65.17% of the coal.

Step-by-step explanation:

3/29 x 6.3 = 18.9/29

18.9/29 = 0.6517 x 100 = 65.17

6 0

3 years ago