Use the function below to find F(4).<br><br> F(x)= 1/3•4x

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current

exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0

2 years ago

Compare discrete domains and continuous domains.

shtirl [24]

Discrete domains and continuous domains are both sets. However a discrete domain contains a finite number of elements and continuous can contain and infinite number of elements.

6 0

2 years ago

A Gardner is planting two types of trees

Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

$108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60$

Dividing both sides by 6

$\frac{10x}{10}=\frac{60}{10}\\x=6$

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

#LearnwithBrainly

4 0

3 years ago

. Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Circle all of

egoroff_w [7]

Answer:

the answer is b I know this because I'm a very young person but I'm a very young man who has been a great person for the last two decades so I'm not really into this

Step-by-step explanation:

I just don't want you back in here and you know this because I know this because you are a good friend of yours but you have no reason for me not knowing that I was in love and you are a great man but you have no idea how to do this 6AM 6AM I know this because you have to be with him to be a great person to be able and be able and be happy and you will have a great time

PERIOD BOO

3 0

3 years ago

2/5 - 1/4 show your work

Natali [406]

2/5-1/4

8/20 - 5/20

(8-5)/20

= 3/20

I hope that's help ! if you have question please ask

6 0

3 years ago

Read 2 more answers

Use the function below to find F(4). F(x)= 1/3•4x