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Klio2033 [76]
3 years ago
8

Factorize completely: 5 - 45/a^2

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
5- \frac{45}{a^2} = \boxed {5\left (1- \left (\frac{3}{a}\right)^2\right) }
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Ammariah has finished 17/20 of her homework. How much more does she have to complete.
iren [92.7K]

Answer: A 15/100

Step-by-step explanation:

1. Convert 17/20 into percents

2. You get 85% Which is how much of her homework she has completed

3. To find what she has left subtract 85 from 100

4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete

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3 years ago
What is the linear equation for figuring out the daily pay rate for working 8 hrs a day at a pay rate of $20 hour?
kupik [55]
<span>$20 per hour

</span><span>8 hrs a day

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4 0
3 years ago
What is the change in temperature from 15° to -9°?<br> (the choices in the docx)
morpeh [17]
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3 years ago
Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required
xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

                A = Pe^{rt}

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

               A = 2 × $3000

               A = $6000

               6000 = 3000e^{0.085t}

               \frac{6000}{3000} = e^{0.085t}

               2 = e^{0.085t}

Take log_{e} of both sides

               log_{e}2 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln2 = 0.085t

               t = \frac{ln2}{0.085}

               t = \frac{0.693}{0.085}

               t = 8.15

(b) For the amount to double, A = 3 × P

               A = 3 × $3000

               A = $9000

               9000 = 3000e^{0.085t}

               \frac{9000}{3000} = e^{0.085t}

               3 = e^{0.085t}

Take log_{e} of both sides

               log_{e}3 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln3 = 0.085t

               t = \frac{ln3}{0.085}

               t = \frac{1.0986}{0.085}

               t = 12.92

5 0
3 years ago
Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equatio
Novay_Z [31]

Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

6 0
3 years ago
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