4 years ago

A bank account balance, b, for an account starting with s dollars, earning an annual interest rate,

Mathematics

1 answer:

Kisachek [45]4 years ago

4 0

B = 200(1 + 0.04)^10 = 200(1.04)^10 = 200(1.48) = $296

You might be interested in

Cory earns 52.50 in 7 hours. find the unit rate

faust18 [17]

divide the two:

52.50 / 7 = 7.50 per hour

6 0

3 years ago

Read 2 more answers

(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

3 0

3 years ago

Does anyone know what the answer is

Natali5045456 [20]

Answer:

cheating in entrance

Step-by-step explanation:

circumference: 14π

area: 49π

8 0

3 years ago

Read 2 more answers

To rent a building for a school dance, Ava paid $120 plus $2.50 for each student who

Shtirlitz [24]

(325-120)/2.5=2050/25=82
=>82 students attended the dance

3 0

4 years ago

The domain of g(x) = 4x –12 is {2, 3, 6, 8}. What is the range

vlada-n [284]

Answer:

Range - {-4,0,12,20}

Step-by-step explanation:

Given that,

The function is :

g(x) = 4x –12

The domain of the function is {2, 3, 6, 8}.

g(2) = 4(2) –12 = -4

g(3) = 4(3) –12 = 0

g(6) = 4(6) –12 = 12

g(8) = 4(8) –12 = 20

Hence, the range of the function is {-4,0,12,20}.

7 0

3 years ago