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swat32
3 years ago
9

The amount of money in a bank account with an initial balance of $15,000 earns 3% per year. In the exponential model of the form

y=A•B^x. Which value would represent the value of b in the function ?
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0
1.03=b this makes sense because it increases 3 percent so you add 1 to .03

Temka [501]3 years ago
3 0

Answer:

The value of b in the function is 1.03.

Step-by-step explanation:

A function that models exponential growth grows by a rate proportional to the amount present. For any real number x and any positive real numbers a and b such that b\neq 1, an exponential growth function has the form

                                           f(x)=ab^x

where

  • <em>a</em> is the initial or starting value of the function.
  • <em>b</em> is the growth factor or growth multiplier per unit x.

We know that the amount of money in a bank account with an initial balance of $15,000 earns 3% per year. So each year we have all of the previous earnings plus 3% more of those earnings (100% + 3% more).

Therefore,

The value of b in the function is b=1+0.03=1.03.

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Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
3 years ago
There are 6 buses transporting students to a baseball game with 32 students on each bus. Each row at the baseball stadium seats
9966 [12]
6 buses with 32 students per bus.....6 x 32 = 192 students

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8 0
3 years ago
Determine any data values that are missing from the table, assuming that the data represent a linear function.
Varvara68 [4.7K]

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

\frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2}

\frac{4}{1} = \frac{y_2 - 6}{2}

4 = \frac{y_2 - 6}{2}

Multiply both sides by 2

4 \times 2 = \frac{y_2 - 6}{2} \times 2

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Add 6 to both sides

8 + 6 = y_2 - 6 + 6

14 = y_2

The missing value is 14

6 0
2 years ago
jose spent 6 hours in school. each school period is 3/4 hour long. how many period did jose spend in school?
34kurt

Answer:

why are you asking me ask jose

6 0
2 years ago
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 met
Westkost [7]

Answer:

35 Meters

Step-by-step explanation:

Ratio is 12

What I mean by that is 2 turns into 24 because you multiply 12 to it. Same thing for 420, except for the fact that you divide it (working backwards). So 420 divided by 12 equals 35:)  Enjoy your day

8 0
3 years ago
Read 2 more answers
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