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2 years ago

12

48,000 = 16 x what x 1,000

1 answer:

adoni [48]2 years ago

6 0

48,000=16000x
x=3
hope this helps :D

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You deposit $200 in an account earning 3% interest compounded

anastassius [24]

Answer:

$268.78

Step-by-step explanation:

We will use the compound interest formula to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 3% into its decimal form:

3% -> $\frac{3}{100}$ -> 0.03

Now, plug in the values:

$A=200(1+\frac{0.03}{1})^{1(10)}$

$A=268.78$

After 10 years, you will have $268.78

5 0

2 years ago

Does y=9x+1 describe y as a function of x

kifflom [539]

Yes, it does - function a relation or expression involving one or several variables

3 0

2 years ago

Measure of angle 7 = 2x+15<br> measure of angle 8 = 3x

hichkok12 [17]

<span><span>4(1-2x)= 3(3-y)-12
4-8x=9-3y-12
-8x+3y=9-12-4
-8x+3y=-7
-----------------------
2(3x-1)-(y+4)= -7
6x-2-y-4=-7
6x-y=-7+2+4
6x-y=-1 multiply by 3 & add
18x-3y=-3
-8x+3y=-7
-------------
10x=-10
x=-10/10

x=-1 ans.
4(1-2*-1)=3(3-y)-12
4(1+2)=9-3y-12
4*3=-3-3y
12=-3-3y
3y=-3-12
3y=-15
y=-15/3
y=-5
Proof:
2(3*-1-1)-(-5+4)=-7
2(-3-1)-(-1)=-7
2*-4+1=-7
-8+1=-7
-7=-7
</span><span>
</span></span>

3 0

2 years ago

If the area of a sector is 100 ft^2 and the radius of the circle is 22 ft what is the central angle measure for that sector and

ahrayia [7]

Answer:

$\displaystyle \theta=0.413\ rad$

<em>L= 9.086 feet</em>

Step-by-step explanation:

<u>Area of a Circular Sector</u>

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

$\displaystyle A=\frac{1}{2}r^2\theta$

And the length of the arc is:

$L=\theta r$

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

$\displaystyle 100=\frac{1}{2}r^2\theta$

Solving for θ:

$\displaystyle \theta=\frac{200}{r^2}$

$\displaystyle \theta=\frac{200}{22^2}$

$\displaystyle \theta=0.413\ rad$

The arc length is:

$L=0.413* 22$

L= 9.086 feet

6 0

2 years ago

Directions:Use the product rule to simplify the following monomials.

attashe74 [19]

13) Answer: $-3a^3b^2$

$\left(-6a^2b\right)\left(\frac{1}{2}ab\right)$

$=-6a^2b\frac{1}{2}ab$

$=-6a^2b^2\frac{1}{2}a$

$=-6a^3b^2\frac{1}{2}$

$=-3a^3b^2$

14) Answer: $8y^5x$

$12y\left(\frac{2}{3}xy^4\right)$

$=12\cdot \frac{2}{3}xy^{1+4}$

$=12\cdot \frac{2}{3}xy^5$

$=\frac{2\cdot \:12xy^5}{3}$

$=\frac{24y^5x}{3}$

$=8y^5x$

6 0

2 years ago