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Scilla [17]
3 years ago
14

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.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
this is a really long question dang
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How many ounces of gold are in a 16​-karat gold chain that weighs 2.6 ​ounces?
oksano4ka [1.4K]

A 16 karat gold means that there are 16 parts of gold in 24 parts of the gold chain. Therefore the weight of the pure gold is:

pure gold = (16 / 24) * 2.6 ounces

<span>pure gold = 1.73 ounces</span>

7 0
2 years ago
HELP PLEASE. what is 2878 to the third power
Neporo4naja [7]
Multiply 2878 three times.

23,838,140,152

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Tereka and Emma each deposit money in savings accounts. The amount of money, in dollars, in Tereka’s account after x years is mo
Over [174]

Given:

Amount of money in Tereka’s account : T(x)=472(1.04)^x

Amount of money in Emma’s account : E(x)=485(1.09)^x

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.

T(0)=472(1.04)^0

T(0)=472(1)

T(0)=472

So, the initial amount Tereka deposit is $472.

E(0)=485(1.09)^0

E(0)=485(1)

E(0)=485

So, the initial amount Emma deposit is $485.

Difference between the initial amounts Tereka and Emma deposit is

485-472=13

Therefore, the difference between initial amounts Tereka and Emma deposit is $13. Emma deposit $13 more than Tereka.

6 0
3 years ago
Mr. Parker has driven 55 miles of a 300-mile trip. If he is traveling at or below the 70 miles per hour speed limit, how much lo
juin [17]

Answer: Mr. Parker can expect the trip to be at least 3 and a half hours

1 tennis racquet and 5 cans of tennis balls

at least 4 days

Step-by-step explanation:

300 - 55 = 245

3.25 x 5 = 16.25       43.75 + 16.25 = 60

40 / 12 = 3.3333333         So you can only visit 3 days with the daily pass before it cost 40 dollars

8 0
3 years ago
Read 2 more answers
Please help solve 1, and 2
Vadim26 [7]

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 = \frac{1}{2}(ZX)

                    ZT=15

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 = \frac{1}{2}(m\angle GTA)

                        = \frac{1}{2}(110^{\circ})

                        = 55°

     e). Since, opposite angles of a rhombus are equal,

          m∠OGT = m∠OAT = 70°

     f). m∠GOA = m∠GTA = 110°

7 0
3 years ago
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