Answer:
39 over 29 or 39 to 29
Step-by-step explanation:
Every $5 Matthew Has Ava has $2
Answer:
![x=15^\circ](https://tex.z-dn.net/?f=x%3D15%5E%5Ccirc)
Step-by-step explanation:
In a right triangle:
![\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3Dcos%2890%5E%5Ccirc-%5Ctheta%29%20%24%20%28Complementary%20angles%29)
Therefore, given:
![Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ](https://tex.z-dn.net/?f=Sin%20%2830%20%2B%20x%29%20%5C%C2%BA%20%3D%20Cos%20%283x%29%20%5C%C2%BA%5C%5C30%2Bx%2B3x%3D90%5E%5Ccirc%5C%5C30%2B4x%3D90%5E%5Ccirc%5C%5C4x%3D90%5E%5Ccirc-30%5E%5Ccirc%5C%5C4x%3D60%5E%5Ccirc%5C%5C%24Divide%20both%20sides%20by%204%5C%5Cx%3D15%5E%5Ccirc)
Answer:
1.5%
Step-by-step explanation:
According to the Taylor rule, the federal funds rate targeted by the Fed is:
![FFR = 2+AI+0.5*(AI-DI)+0.5PD](https://tex.z-dn.net/?f=FFR%20%3D%202%2BAI%2B0.5%2A%28AI-DI%29%2B0.5PD)
Where AI is the actual inflation (1%), DI is the desired inflation (2%) and PD is the deviation from potential (2%):
![FFR = 2+1+0.5*(1-2)+0.5*(-2)\\FFR=1.5\%](https://tex.z-dn.net/?f=FFR%20%3D%202%2B1%2B0.5%2A%281-2%29%2B0.5%2A%28-2%29%5C%5CFFR%3D1.5%5C%25)
The Fed should target a federal funds rate of 1.5%.
Answer:
$48.87
Step-by-step explanation:
Let the deposited amount between the March 15th and the March 20th be x
Balance on 15th march = $56.75
The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25
And he also deposited x amount
After deposits and deductions
So, balance = 56.75 +x - (13.25+5)
The new balance on 20th march = $87.37
⇒![56.75 +x - (13.25+5)=87.37](https://tex.z-dn.net/?f=56.75%20%2Bx%20-%20%2813.25%2B5%29%3D87.37)
⇒![56.75 +x - 18.25=87.37](https://tex.z-dn.net/?f=56.75%20%2Bx%20-%2018.25%3D87.37)
⇒![38.5 +x =87.37](https://tex.z-dn.net/?f=38.5%20%2Bx%20%3D87.37)
⇒![x =87.37-38.5](https://tex.z-dn.net/?f=x%20%3D87.37-38.5)
⇒![x =48.87](https://tex.z-dn.net/?f=x%20%3D48.87)
Hence Carlos deposited $48.87 in his account between the March 15th and the March 20th.