Answer:
88
Step-by-step explanation:
If there are 111 balls of 4 colors, if 100 are taken, and each at least 1 of each color appears, there has to be at least 12 of each color (if you take 100 marbles of 3 colors, all 11 of 1 color could still be in the box, so there has to be at least 12 of each). If there are 12 marbles of 3 colors, there would be 111-(12×3)=111-36-75 marbles of the last color. To get at least 1 marble in 3 colors add 75+12+1=88. If there are 12 marbles of 2 colors, there would be a combined total of 87 marbles for the other 2 colors. 87+1=88. If there is 12 marbles of 1 color, there would be a combined total of 99 marbles for the other 3 colors. If there was a divide of 97+1+1, the 2 colors with only 1 marble could have still been left in the box when 100 balls were taken. So there has to be at least 12 of the colors. So we get 111-12-12-12=75, which is the maximum number of marbles that 1 color can have. 75+12+1=88, our previous answer.
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Answer:
Earning at Long's Bank are expressed by the equation, I = -0.06 x + 8.3
Earnings at Fellow's Bank are modeled by I = -0.02 x+6.6
Where,x is the number of checks written.
now, we have to find that , at what range of checks will a checking account at Long's Bank generate more earnings income than one at Fellow's Bank.
-0.06 x +8.3 > -0.02 x +6.6
-0.02 x+0.06 x < 8.3 - 6.6
0.04 x < 1.7
Dividing both sides by , 0.04, we get
x< 42.5
So, x ∈[0,42], which is number of checks written.
2. APR on personal Loans =5.5%
Value of APR when compounded monthly
=0.46 (approx)
Value of APR when compounded Quarterly
= 1.84 (approx)
Difference between Rate , when the APR rate is compounded monthly as compared to when it's compounded quarterly
=1.84 - 0.46
=1.38 (approx)
Quarterly APR is 1.38 value more than Monthly APR, when the rate of Yearly APR is 5.5%.
Answer:
BOTH SIDES ARE 12
Step-by-step explanation:
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
Answer:
Missing angle A = 56.1° (approximately)
Step-by-step explanation:
<A = arcsin(a×sin(C)/c)
= arcsin(5×sin 95/6)
= 56.1154084° ≈ 56.1°
Answered by GAUTHMATH
