WILL MARK BRAINLIEST The amount (A) that principal (P) will be worth after t years at interest rate (r) compounded annually is

Mathematics

1 answer:

alex41 [277]1 year ago

4 0

Answer:

15 years

Step-by-step explanation:

Since we're looking for time, we can use the formula t = A / Pr, which would be:
t = 6000/(7255 x 5.5%)
Converting the percentage into decimal form
t = 6000/(7255 x 0.055)
We can then solve to get:
t = 6000/399.025
t = 15.03665183...
Meaning it would take 15 years for an interest of 5.5% on $6,000 to reach $7,255. Not very worth $1,255 extra if you need that 6k for rent.

You might be interested in

Heyy! i’ll give brainliest please help

marysya [2.9K]

Answer:

elected Council

Step-by-step explanation:

5 0

2 years ago

Suppose $24,000 is deposited into an account paying 7.25% interest, which is compoundedcontinuouslyHow much money will be in the

ozzi

Answer:

$49560

Explanations:

The amount deposited is the principal

The principal, P = $24,000

Interest rate, r = 7.25% = 7.25/100 = 0.0725

Time, t = 10 years

Since the interest is compounded continuously, the amounte^ formula is given as:

$A\text{ = P}\times\text{e}^{rt}$

Substitute P = 24000, r = 0.0725, and t = 10 into the formula above:

$\begin{gathered} A\text{ = 24000}\times e^{0.0725(10)} \\ A\text{ = 24000}\times e^{0.725} \\ A\text{ = }24000\text{ }\times\text{ }2.065 \\ A\text{ = }49560 \end{gathered}$

$49560 will be in the account after 10 years if no withdrawal or deposit is made

6 0

2 months ago

Given points (r1, u1 ) and (r2, u2) in polar coordinates, obtain a general formula for the distance between them. Simplify it as

sertanlavr [38]

Answer:

$d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}$

Step-by-step explanation:

The Law of Cosines gives an immediate result. No translation to Cartesian coordinates is necessary. That law makes use of the angle between the vectors, u2-u1

$d^2=r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)\\\\\boxed{d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}}$