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valkas [14]
3 years ago
11

Adam put $100 in a savings account. After 10 years, he had $1649 in the

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Step-by-step explanation:

hihi, so this is a classic interest rate problem. It's not too bad if you know your properties of e and ln. After establishing the base equation you can divide by 100 then take the natural log of both sides to "get rid" of the e and finally end it by dividing by 10 to isolate r.

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Can anyone help me solve this
kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

  ab = 25

  log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

               log₄ a/b = 3

2.- Convert the log to an exponent

                   a/b = 4³

                   a/b = 64      Equation l

                    ab = 25       Equation ll

3.- Solve equation l for a

                  a = 64b

4.- Substitute in equation ll

                   (64b)b = 25

-Simplify

                    64b² = 25

-Solve for b

                         b² = 25/64

                         b = 5/8

5.- Substitute the value of b to find a

                     a = 64(5/8)

-Simplification

                     a = 40                        

4 0
3 years ago
10. Select all that are true for the graph that represents
Likurg_2 [28]

Answer:

A, C and F

Step-by-step explanation:

The given function is

f(x)=5(3)^x

It is an exponential function of the form

f(x)=a(b)^x

On comparing both the functions, we get

a=5,b=3

It means the initial value is 5 and growth factor is 3.

Since both values are positive it means the given functions is an exponential growth function, therefore,

1. The graph is increasing by a common ratio of 3.

2. As x increases, y increases.

3. As x decreases, y approaches 0.

Hence, the correct options are A, C and F.

8 0
3 years ago
Assuming that x=-2 and y=3 evaluate xy-x^3 ​
meriva
(-2^3) = -8.
-2 times 3 = -6.

The expression is now -6 - (-8).

-6 + 8 = 2.

The answer should be 2.
4 0
3 years ago
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.
Elina [12.6K]

• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

• So, t is 8 year time periods.

To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

The interest is: $1440.00

6 0
3 years ago
Read 2 more answers
Umference of a Circle: Mastery Test
sasho [114]

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

 C = 2πr = πd

 C = 2(3.14)r = 6.28r   or   C = 3.14d

 where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

 r = 4.2   ⇒   C = 6.28×4.2 = 26.376

 d = 7.4   ⇒   C = 3.14×7.4 = 23.236

 d = 11   ⇒   C = 3.14×11 = 34.54

 r = 9.5   ⇒   C = 6.28×9.5 = 59.66

6 0
2 years ago
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