Answer: Philip can earn back his initial investment in 12.4 years
Step-by-step explanation:
Amount Invested by Philips in period annuity = 800,000
Annual Percentage Rate (APR) = 5.2%
APR compounded monthly for a period of 20 years.
Amount to be received per annuity period = 800,000 * (((1+(0.052/12))^240)*(0.052/12))/(((1+0.052/12))^240)-1)
= 5368.43
Time taken ( in months ) by Philip to earn back his initial investment = 800,000/5368.43 = 149.02 months
Time taken ( in years ) by Philip to earn back his initial investment = 149.02/12 = 12.4 years
Hope it helps.
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Answer:
The slope is undefined
Step-by-step explanation:
Find slope by using the slope formula, 
Use the given points and insert the x's and y's to solve for slope
(-7, -7) (-7, 1)



m = undefined
The slope for the given point is undefined because it is impossible to divide a number by 0
Its easy to convert 86 kilometers per hour to meters per second :
Just divide the speed which is 86 by 3.6
86 divide 3.6 = 24 m/s or meter per second
Answer:
cylinder surface area = 201.06in²
surface area of cone = 56.56in.²
Step-by-step explanation:
cylinder surface area formula = 2πrh + 2πr²
refer the pic
cone surface area formula = πr ( r + √h² + r² )
refer the sec pic
surface area of the solid
= ( 201.06 + 56.56 ) in.²
= 257.62in.²
= 258in.²
Answer: She ordered 4 toppings.
Step-by-step explanation:
Given: Total cost of pizza = $ 12.90
Cost of pizza =$7.50
Price per topping = $1.35
Let x = Number of toppings,
Total cost of pizza = (Cost of pizza) + (price per topping) × (Number of topping)

hence, she ordered 4 toppings.