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Vladimir [108]
3 years ago
7

6. (3^3/^5)^−4

Mathematics
1 answer:
lesantik [10]3 years ago
4 0
The balance will be $6,376.01 in 5 years.

To find this answer, we have to evaluate the following expression:

5500(1+0.03)^5

We start with 5500 and raise it by 3% each year. That is why we included (1 + 0.03) in the middle. Finally, it is raised to the power of 5 because it is compounded for 5 years.
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If f(1) = 7 and f(n) = -3f(n − 1) then find the value of f(6).
ludmilkaskok [199]

Answer:

  -1701

Step-by-step explanation:

The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...

  7, -21, 63, -189, 567, -1701

The value of f(6) is -1701.

_____

<em>Additional comment</em>

The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...

  f(n) = 7×(-3)^(n-1)

Then f(6) is ...

  f(6) = 7×(-3)^5 = 7×(-243) = -1701

8 0
2 years ago
Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. Provide Taylor some f
goblinko [34]

Answer:

f(x)=g(x) at x= 0 and x= 1 and not at x= 3.

Step-by-step explanation:

We have the functions, f(x)=2x+1 and g(x)=2x^2+1.

It is given that,

At x=0, x=1, and x=3, f(x)=g(x)

i.e. 2x+1=2x^2+1

i.e. 2x^2-2x=0

i.e. 2x(x-1)=0

i.e. x= 0 and (x-1)= 0

i.e. x= 0 and x= 1.

Also, after plotting the graphs of both the functions, we see their intersection point are (0,1) and (1,3).

Thus, we get that f(x)=g(x) at x= 0 and x= 1 and not at x= 3.

5 0
3 years ago
Need help asap! Will give brainlisted!
Ivanshal [37]

Answer:

5

Step-by-step explanation:

the quadrtic formula says the x=y=z but it also argues

7 0
3 years ago
Read 2 more answers
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Andru [333]

Answer:

y = 18 * 1.15^x

Step-by-step explanation:

Given

a = 18 --- initial

r =15\% -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

y = ab^x

Where

b=1 +r

Substitute r =15\% in b=1 +r

b = 1 + 15\%

b = 1 + 0.15

b = 1.15

Substitute b = 1.15 and a = 18 in y = ab^x

y = 18 * 1.15^x

5 0
3 years ago
What is the value of x in the following system Y=3x-5 and 6x+3y=15
beks73 [17]

Answer:

hope this helped

7 0
3 years ago
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