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jek_recluse [69]
3 years ago
11

Simplify

lt="\frac{4}{\sqrt{6} }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0
Here’s how to solve it:
1. Multiply the fraction by √6/√6
2. To multiply the fractions, multiply the numerators and denominators separately
3. When a square root of an expression is multiplied by itself, the result is that equation
4. Reduce the fraction with 2
5. Answer is below

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Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

\displaystyle P=\frac{I}{rt}

Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

Lisa borrowed $8,500

8 0
3 years ago
The image of a parabolic mirror is sketched on a graph. The image can be represented using the function y = x2 + 2, where x repr
Nadusha1986 [10]

Answer:

The image can be represented using the function y = x2 + 2, where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis. How far ...

Step-by-step explanation:

The image can be represented using the function y = x2 + 2, where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis. How far ...

3 0
3 years ago
Lucy and Emily are racing with each other and Lucy is 90
Zina [86]

Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

  • Lucy's distance = 2t
  • Emily's distance = 5t

<u>We can set up an equation to represent the required scenario thus</u> :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

<em>Collect like terms</em> :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

8 0
2 years ago
Which of the following shows figure T rotated 90 degree clockwise around the origin?
abruzzese [7]
The last one shows the right transformation.
6 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (-34, 81) and (32, 12).
Sauron [17]

Answer:-23/22 or -1.045

Step-by-step explanation:

slope = rise/run

Slope =y2−y1x/2−x1 (The 2's and 1's here should be subscripts sorry)

slope= 12-81 (the y's) divided by 32-(-34)( the x's)

12-81/32-(-34) (Parentehsis just to emphisis the minus a negative number  the second coordinate is -32)

slope= -69/66

simplfy to -23/22 or to decimal

slope = -1.045

7 0
3 years ago
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