Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%20%5Cboxed%7B%20%5Csf%7B%20%5C%3A%2014.25%20%5C%3A%20%5C%25%20%5C%3A%20%7D%7D%7D%7D%7D)
Step-by-step explanation:
Given,
Principal ( P ) = $ 6000
Amount ( A ) = $ 14550
Time ( T ) = 10 years
Rate ( R ) = ?
<u>Finding </u><u>the </u><u>Interest</u>
The sum of principal and interest is called an amount.
From the definition,
![\boxed{ \sf{Amount = \: Principal + Interest}}](https://tex.z-dn.net/?f=%20%20%5Cboxed%7B%20%5Csf%7BAmount%20%3D%20%20%5C%3A%20Principal%20%2B%20Interest%7D%7D)
plug the values
⇒![\sf{14550 = 6000 + Interest}](https://tex.z-dn.net/?f=%20%5Csf%7B14550%20%3D%206000%20%2B%20Interest%7D)
Swap the sides of the equation
⇒![\sf{6000 + Interest = 14550}](https://tex.z-dn.net/?f=%20%5Csf%7B6000%20%2B%20Interest%20%3D%2014550%7D)
Move 6000 to right hand side and change its sign
⇒![\sf{Interest = 14550 - 6000}](https://tex.z-dn.net/?f=%20%5Csf%7BInterest%20%3D%2014550%20-%206000%7D)
Subtract 6000 from 14550
⇒![\sf{Interest = \: 8550 \: }](https://tex.z-dn.net/?f=%20%5Csf%7BInterest%20%3D%20%5C%3A%208550%20%5C%3A%20%7D)
Interest = $ 8550
<u>Finding </u><u>the </u><u>rate </u>
![{ \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}}](https://tex.z-dn.net/?f=%20%20%7B%20%5Cboxed%7B%20%5Csf%7BRate%20%3D%20%20%5Cfrac%7BInterest%20%5Ctimes%20100%7D%7BPrincipal%20%5Ctimes%20Time%7D%7D%7D%7D%20)
plug the values
⇒![\sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20Rate%20%3D%20%5Cfrac%7B8550%20%20%5Ctimes%20100%7D%7B6000%20%5Ctimes%2010%7D%20%7D)
Calculate
⇒![\sf{Rate = \frac{855000}{60000} }](https://tex.z-dn.net/?f=%20%5Csf%7BRate%20%3D%20%20%5Cfrac%7B855000%7D%7B60000%7D%20%7D)
⇒![\sf{Rate = 14.25 \: \% \: }](https://tex.z-dn.net/?f=%20%5Csf%7BRate%20%3D%2014.25%20%5C%3A%20%5C%25%20%5C%3A%20%7D)
Hope I helped!
Best regards!!
Step 1. Simplify 1/3x to x/3
-x/3 > 5
Step 2. Multiply both sides by 3
-x > 5 * 3
Step 3. Simplify 5 * 3 to 15
-x > 15
Step 4. Multiply both sides by -1
x < -15
Your answer is A.
Answer:
look down
Step-by-step explanation:
we need to find 10% and multiply it by 4 to get 40 percent
10 percent of 2200 is 220 because 2200 divided by 10 is 220 then we multiply this by 4 and we should get 880
Answer: 250 m
Step-by-step explanation:
Given
Distance between Ursula and Velda house is 4 km or 4000 m
Ursula walks at the rate of ![400\ m/h\ or\ \frac{20}{3}\ m/min](https://tex.z-dn.net/?f=400%5C%20m%2Fh%5C%20or%5C%20%5Cfrac%7B20%7D%7B3%7D%5C%20m%2Fmin)
Velda walks at the rate of ![600\ m/h\ or\ 10\ m/min](https://tex.z-dn.net/?f=600%5C%20m%2Fh%5C%20or%5C%2010%5C%20m%2Fmin)
Time taken by them to cover 4000 m is
![\Rightarrow \dfrac{4000}{400+600}=4\ h\ or\ 240\ min](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B4000%7D%7B400%2B600%7D%3D4%5C%20h%5C%20or%5C%20240%5C%20min)
Distance covered by them 15 min before they meet
Ursula ![=\frac{20}{3}\times 225=1500\ m](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20%7D%7B3%7D%5Ctimes%20225%3D1500%5C%20m)
Velda ![=10\times 225=2250\ m](https://tex.z-dn.net/?f=%3D10%5Ctimes%20225%3D2250%5C%20m)
The total length covered by them is ![=1500+2250=3750\ m](https://tex.z-dn.net/?f=%3D1500%2B2250%3D3750%5C%20m)
They are
apart before they meet
Answer:
2
Step-by-step explanation:
x times x is x^2