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:

Substituting:


Lisa borrowed $8,500
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 ...
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
The last one shows the right transformation.
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