All categories

2 years ago

A person invests 6500 dollars in a bank. The bank pays 7% interest compounded

Mathematics

1 answer:

Inessa [10]2 years ago

6 0

Answer:

t=16.2 years

Step-by-step explanation:

A=p(1+r/n)^nt

A=$20100

P=$6500

r=7%=0.07

n=4

t=?

t=ln(A/P)/n {ln(1+r/n)}

=ln(20100/6500) / 4{ln(1+0.07/4)}

=ln(3.0923)/4{ln(1+0.0175)}

=ln(3.0923)/4{ln(1.0175)}

=1.1289/4(0.0174)

=1.1289/0.0696

=16.23

To the nearest tenth

t=16.2 years

You might be interested in

For the angles α and β in the figures, find cos(α + β)?

Blababa [14]

Answer:

$\cos(\alpha +\beta)=\frac{2}{3}(1-\frac{\sqrt{5}}{5})$

Step-by-step explanation:

Let the hypotenuse of the smaller triangle be h units.

Then; from the Pythagoras Theorem.

$h^2=4^2+2^2$

$h^2=16+4$

$h^2=20$

$h=\sqrt{20}$

$h=2\sqrt{5}$

From the smaller triangle;

$\cos (\alpha)=\frac{4}{2\sqrt{5} }=\frac{2}{\sqrt{5} }$ and $\sin(\alpha)=\frac{2}{2\sqrt{5} }=\frac{1}{\sqrt{5} }$

From the second triangle, let the other other shorter leg of the second triangle be s units.

Then;

$s^2+4^2=6^2$

$s^2+16=36$

$s^2=36-16$

$s^2=20$

$s=\sqrt{20}$

$s=2\sqrt{5}$

$\cos(\beta)=\frac{2\sqrt{5} }{6}=\frac{\sqrt{5} }{3}$

and

$\sin(\beta)=\frac{4}{6}=\frac{2}{3}$

We now use the double angle property;

$\cos(\alpha +\beta)=\cos(\alpha)\cos(\beta) -\sin(\alpha)\sin(\beta)$

we plug in the values to obtain;

$\cos(\alpha +\beta)=\frac{2}{\sqrt{5} }\times \frac{\sqrt{5} }{3}-\frac{1}{\sqrt{5} }\times \frac{2}{3}$

$\cos(\alpha +\beta)=\frac{2}{3}(1-\frac{\sqrt{5}}{5})$

3 0

2 years ago

Read 2 more answers

Tina went to the hardware store to buy a door knob and a towel bar, and while she was in the checkout line, she also threw some

Kryger [21]

The answer is B because she threw those into the cart in the checkout line.

4 0

2 years ago

Read 2 more answers

While standing on a highway overpass, Jennifer wonders what proportion of the vehicles that pass on the highway below are trucks

Assoli18 [71]

Answer:Obtain a systematic sample by selecting every 20th vehicle that passes (in any lane and going in any direction).

Step-by-step explanation:

8 0

2 years ago

Find the product. (a2b3)4

Margarita [4]

The answer is 4a^2b3

3 0

2 years ago

The differential equation y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1cos(x

svet-max [94.6K]

Answer:

y_c = 2 + 10*x

Step-by-step explanation:

Given:

y'' = 0

Find:

- The solution to ODE such that y(0) = 2, y'(0) = 10

Solution:

- Assuming a solution y = Ce^(mt)

So, y' = C*me^(mt)

y'' = C*m^2e^(mt)

- Back substitute into given ODE, we get:

y'' = C*m^2e^(mt) = 0

e^(mt) can not be equal to zero

- Hence, m^2 = 0

m = 0 , 0 - (repeated roots)

- The complimentary function for repeated roots is:

y_c = (C1 + C2*x)*e^(m*t)

y_c = C1 + C2*x

- Evaluate @ y(0) = 2

2 = C1 + C2*0

C1 = 2

-Evaluate @ y'(0) = 10

y'(t) = C2 = 10

Hence, y_c = 2 + 10*x

5 0

2 years ago