Exponential functions

Mathematics

2 answers:

Marysya12 [62]3 years ago

6 0

Answer:

2,323.23

Step-by-step explanation:

the interest will be 323.23 +your initial balance is what you will have in 5 years

Damm [24]3 years ago

6 0

In order to figure out the compound interest, you must first identify its equation which is: A = P(1+(r/n))^nt where A is the final amount, P is the initial amount, R is the interest rate, n is the number of times the interest is applied per period, and t is the number of periods. Plugging in your values would make the equation: A = 2000(1+(0.03/12))^(12•5) simplified would be A = 2323.23

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Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

4 years ago

(5j - 2q + 2/5) - (4 - 3j - 1/2q)

fenix001 [56]

Answer:

8j - $\frac{3q}{2}$ - $\frac{18}{5}$