The interest rate will be equal to 24% in 2 years.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that:-
- Find the interest rate if $32 increased to $50 in 2 years.
The interest rate will be calculated by using the following formula:-
![A = P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
![50=32[1+\dfrac{r}{1}]^{2}](https://tex.z-dn.net/?f=50%3D32%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7B2%7D)
![\dfrac{50}{32}=(1+r)^2](https://tex.z-dn.net/?f=%5Cdfrac%7B50%7D%7B32%7D%3D%281%2Br%29%5E2)
1.56 = ( 1 + r )²
√1.56 = ( 1 + r )
r = 1.24 - 1
r = 0.24
r = 24%
Therefore interest rate will be equal to 24% in 2 years.
To know more about Compound interest follow
brainly.com/question/24924853
#SPJ1
The y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
![\rm m =\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Where the line segment crosses the y-axis is the y-intercept,
And where the line segment crosses the x-axis is the x-intercept,
From the graph,
y-intercept is at (0,2)
x-intercepts is at (-4,0), (2,0)
Thus, the y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ1
Answer:
Yes
No
No
Yes
No
Step-by-step explanation:
The given expression is ![\sqrt[5]{(2x^{3})^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%282x%5E%7B3%7D%29%5E%7B2%7D%20%20%7D)
This can be rewritten as
![\sqrt[5]{4x^{6} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B4x%5E%7B6%7D%20%7D)
Then an x can be factored out to give you
![x\sqrt[5]{4x}](https://tex.z-dn.net/?f=x%5Csqrt%5B5%5D%7B4x%7D)
Answer:
45 km^2 (C)
Step-by-step explanation:
Isolate the smaller square -
We only need two side lengths, take 3km and 3km.
3×3 = 9km^2, that's the area of the smaller square.
Isolate the larger square -
Take 6km and the other 6km
6×6 = 36km^2
Add the square's areas together to get the whole area -
36 + 9 = 45km^2
All you need to do to solve these problems is to isolate the shapes and find their area's, and finally add them together.
Answer:
sets the size of the drawing paper. For size A drawing paper