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Julli [10]
3 years ago
8

Hi, I'm very fonfused on what to do here.​

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

C) 212.53

Step-by-step explanation:

3x60=180 (3 minutes is 180 seconds)

180+32.53=212.53 seconds

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Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati
miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as ax^2+bx+c=0.

So,

2x^2+3x=-1\\\\2x^2+3x+1=0

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Putting all the values we get :

x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1

So, the roots of the given equation is -1/2 and -1.

5 0
3 years ago
How much should you invest at 5% simple interest in order to earn $100 interest in 12 months?​
marissa [1.9K]

Answer:

You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

Step-by-step explanation:

Using the formula

I = Prt

where

I = Interest earned

P = The principal (let say in $)

r = The Interest Rate

t = time

Given that

  • I = $100
  • r = 5%
  • t = 12 month = 1 year
  • P = The principal amount needed to invest (let say in $)

Thus,

I = Prt

100 = P × 5% × 1

100 = P × 5/100 × 1

100 × 100 = P × 5

10000 = P × 5

P = 10000/5

  = 2000 (let say in $)

Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

7 0
2 years ago
What is 6 x 10(2) aka 6 x 10 to the second power
Crank

Answer:

3600

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
KarlaPurchase a swimsuit on Amazon the original price of the coat was 75.50 she use the coupon code to receive a 25% discount th
DochEvi [55]

Answer:

Step-by-step explanation:

The initial price of the swimsuit that Karla purchased at Amazon was 75.5

she use the coupon code to receive a 25% discount. This means that the value if the discount would be

25/100 × 75.5 = 0.25× 75.5 = 18.86

Therefore, the discounted price of the swimsuit is 75.5 - 18.875 = 56.625

The website applied a 10% service fee for the discount price. This means that the value of the service fee would be

10/100 × 56.625 = 0.1 × 56.625 = 5.6625.

The amount that Karla pays for the swimsuit would be

56.625 + 5.6625 = 62.2875

The difference between the original price and the price that Karla paid would be 75.5 - 62.2875 = 13.2125

The percentage by which the amount that Karla paid was lesser than the original price would be

13.2125/ 75.5 × 100 = 17.5%

8 0
3 years ago
When u round to the nearest hundred thousand the population of the state of North Carolina is 9,800,000. Which could be the exac
rjkz [21]

Answer:

D - 9,848,060

Step-by-step explanation:

In the number 9,848,060 the number 8 is in the hundred thousands place.

The number behind it is 4, which is nor equal to or more than 5, meaning that that the 8 stays the same.

6 0
3 years ago
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