Answer: the amount she must invest is $1852
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount invested.
P represents the principal or amount invested.
R represents interest rate
T represents the duration of the investment in years.
From the information given,
I = 2500 - P
R = 7%
T = 5 years
Therefore,
2500 - P = (P × 7 × 5)/100
2500 - P = 0.35P
0.35P + P = 2500
1.35P = 2500
P = 2500/1.35
P = 1852
Answer:
D or 13 is the answer to this problem.
Answer:
![\large\boxed{\dfrac{36}{25}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B36%7D%7B25%7D%7D)
Step-by-step explanation:
![\text{Use}\ a^{-n}=\dfrac{1}{a^n}\\\\\dfrac{5^{-2}\cdot9}{2^4\cdot4^{-3}}=(5^{-2}\cdot9):(2^4\cdot4^{-3})=\left(\dfrac{1}{5^2}\cdot9\right):\left(2^4\cdot(2^2)^{-3}\right)\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\left(\dfrac{1}{25}\cdot9\right):(2^4\cdot2^{-6})\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{9}{25}:2^{4+(-6)}=\dfrac{9}{25}:2^{-2}=\dfrac{9}{25}:\dfrac{1}{2^2}=\dfrac{9}{25}:\dfrac{1}{4}=\dfrac{9}{25}\cdot\dfrac{4}{1}=\dfrac{36}{25}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%5Cdfrac%7B5%5E%7B-2%7D%5Ccdot9%7D%7B2%5E4%5Ccdot4%5E%7B-3%7D%7D%3D%285%5E%7B-2%7D%5Ccdot9%29%3A%282%5E4%5Ccdot4%5E%7B-3%7D%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B5%5E2%7D%5Ccdot9%5Cright%29%3A%5Cleft%282%5E4%5Ccdot%282%5E2%29%5E%7B-3%7D%5Cright%29%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B1%7D%7B25%7D%5Ccdot9%5Cright%29%3A%282%5E4%5Ccdot2%5E%7B-6%7D%29%5C%5C%5C%5C%5Ctext%7Buse%7D%5C%20a%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%3D%5Cdfrac%7B9%7D%7B25%7D%3A2%5E%7B4%2B%28-6%29%7D%3D%5Cdfrac%7B9%7D%7B25%7D%3A2%5E%7B-2%7D%3D%5Cdfrac%7B9%7D%7B25%7D%3A%5Cdfrac%7B1%7D%7B2%5E2%7D%3D%5Cdfrac%7B9%7D%7B25%7D%3A%5Cdfrac%7B1%7D%7B4%7D%3D%5Cdfrac%7B9%7D%7B25%7D%5Ccdot%5Cdfrac%7B4%7D%7B1%7D%3D%5Cdfrac%7B36%7D%7B25%7D)
Mean:12
median:11.5
mode:16
range:10