Answer:
Step-by-step explanation:
Let the invested amount is x.
<u>Then the interest amount is:</u>
- x*5*2.25/100 = 675
- 0.1125x = 675
- x = 675 / 0.1125
- x = 6000
Correct choice is A
The answer would be D, 12 units! :)
Answer:
-7 = m
Step-by-step explanation:
5m − 7 = 6m
Subtract 5m from each side
5m-5m − 7 = 6m-5m
-7 = m
Answer:
The pairs are (13,15) and (-15,-13).
Step-by-step explanation:
If n is an odd integer, the very next odd integer will be n+2.
n+1 is even (so we aren't using this number)
The sum of the squares of (n) and (n+2) is 394.
This means
(n)^2+(n+2)^2=394
n^2+(n+2)(n+2)=394
n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2
Combine like terms:
2n^2+4n+4=394
Subtract 394 on both sides:
2n^2+4n-390=0
Divide both sides by 2:
n^2+2n-195=0
Now we need to find two numbers that multiply to be -195 and add up to be 2.
15 and -13 since 15(-13)=-195 and 15+(-13)=2
So the factored form is
(n+15)(n-13)=0
This means we have n+15=0 and n-13=0 to solve.
n+15=0
Subtract 15 on both sides:
n=-15
n-13=0
Add 13 on both sides:
n=13
So if n=13 , then n+2=15.
If n=-15, then n+2=-13.
Let's check both results
(n,n+2)=(13,15)
13^2+15^2=169+225=394. So (13,15) looks good!
(n,n+2)=(-15,-13)
(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!
Answer:
(x+10)+(×+50)=180(exterior co- interior angel
2x+60=180
2×=180-60
×=120/2
×=60
(6x+3)=(7x-12)(corresponding angle )
3+12=7×-6×
x=15
4x-2=3x-19(vertically opposite angle)
4x-3×=-19+2
x=-17
