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3 years ago

A savings account with compounded interest can be modeled by which type of graph

Mathematics

2 answers:

Leona [35]3 years ago

6 0

Answer: The answer is (C) Exponential.

Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.

We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.

The formula foe compound interest is given by

$C.I.=P(1+\dfrac{r}{100})^n,$ where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.

Therefore, we can see that the function is of exponential type.

If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.

So, the correct option is (C) Exponential.

Arte-miy333 [17]3 years ago

3 0

Exponential since it it growing apon itself and the bigger it gets, the faster it grows

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The office manager of First Tech Support borrowed $25,000 to purchase new computers for employees. The bank charges 6 percent in

Travka [436]

Given:

Amount borrowed (P)= $25000

Rate of interest (r)= 6%

Time (t)= 4 years.

To find:

The total interest the company pay in all.

Solution:

We know that,

$A=P(1+r)^t$

where, A is amount, P is principal, r is rate of interest and t is time period.

$A=25000(1+\dfrac{6}{100})^4$

$A=25000(1.06)^4$

$A=25000(1.26247696)$

$A=31561.924
$

Now,

$I=A-P$

$I=31561.924-25000$

$I=6561.924$

Therefore, the total interest is $6561.924.

7 0

3 years ago

How can I solve this?<br>Please use the simplest format

IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

opposite = 4

adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

= (4 × √3) / (√3 × √3)

= 4√3 / 3

Thus,

n = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

$m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}$

$m=\sqrt{\frac{4^2}{3}+4^2}$

$m=\sqrt{\frac{64}{3}}$

$m=\frac{8}{\sqrt{3}}$

$m=\frac{8\sqrt{3}}{3}$

Thus,

$m=\frac{8\sqrt{3}}{3}$

n = 4√3 / 3

Therefore, option D is true.

3 0

2 years ago

What is ∛2197? Explain how you got your answer.

user100 [1]

Answer:

Step-by-step explanation:

We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is $13^{3}$ . This will go inside of your cube root. You now have $\sqrt[3]{13^{3} }$ . Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.