When their child was born, her parents invested $40,000 in a plan guaranteed to increase by 3% per year. The logarithmic functio
n y equals 77.9 log start fraction x over 40,000 end fraction can be used to determine the number of years, y, it takes for the investment to be worth x dollars.
Exponential graph modeling the equation y equals seventy seven point nine times the log of the quantity x over forty thousand. Graph comes up from the left along the y axis and goes through the point forty thousand comma zero and continues to the right towards infinity.
After how many years will the investment be worth approximately 50% more than it was originally and how old will their child be when the investment is worth about $100,000?
The investment is worth approximately 50% more after 25 years, and the investment is worth $100,000 when their child is about 31 years old.
The investment is worth approximately 50% more after 5 years, and the investment is worth $100,000 when their child is about 25 years old.
The investment is worth approximately 50% more after 14 years, and the investment is worth $100,000 when their child is about 31 years old.
The investment is worth approximately 50% more after 31 years, and the investment is worth $100,000 when their child is about 25 years old.
Exponential graph modeling the equation y equals seventy seven point nine times the log of the quantity x over forty thousand. Graph comes up from the left along the y axis and goes through the point forty thousand comma zero and continues to the right towards infinity.
After how many years will the investment be worth approximately 50% more than it was originally and how old will their child be when the investment is worth about $100,000?
The investment is worth approximately 50% more after 25 years, and the investment is worth $100,000 when their child is about 31 years old.
The investment is worth approximately 50% more after 5 years, and the investment is worth $100,000 when their child is about 25 years old.
The investment is worth approximately 50% more after 14 years, and the investment is worth $100,000 when their child is about 31 years old.
The investment is worth approximately 50% more after 31 years, and the investment is worth $100,000 when their child is about 25 years old.
1 answer:
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Given:
Amount of money in Tereka’s account :
Amount of money in Emma’s account :
To find:
The difference between initial amounts Tereka and Emma deposit.
Solution:
Substitute x=0 in the given functions, to get the initial amount of money they deposit.
So, the initial amount Tereka deposit is $472.
So, the initial amount Emma deposit is $485.
Difference between the initial amounts Tereka and Emma deposit is
Therefore, the difference between initial amounts Tereka and Emma deposit is $13. Emma deposit $13 more than Tereka.
Answer:
Step-by-step explanation:
1). WXYZ is a rectangle,
Properties of a rectangle,
i). Opposite sides are equal and parallel.
ii). All interior angles measure 90°.
iii). Diagonals are equal in measure.
a). WY = ZX = 30
Therefore, ZT =
b). WY = ZX = 45
c). Since, WY = ZX,
(4b - 16) = (3b + 5)
4b - 3b = 16 + 5
b = 21
2). GOAT is a rhombus and m∠OGA = 35°,
a). m∠TGA = m∠OGA = 35°
b). m∠GXO = 90°
c). m∠GXT = 90°
d). Since adjacent angles of a rhombus are supplementary,
m∠OGT + m∠GTA = 180°
70° + m∠GTA = 180°
m∠GTA = 110°
m∠GTO =
=
= 55°
e). Since, opposite angles of a rhombus are equal,
m∠OGT = m∠OAT = 70°
f). m∠GOA = m∠GTA = 110°