For continuous compounding:
A=Pe^(rt) A=final amount, P=principle, r=annual rate, t=time years
A=250e^(0.1*8)
A=556.39
He spends 272 dollars total. That includes 1/4 + 3/5 of his monthly budget.
Which means:
(1/4 + 3/5) * monthly budget = 272 dollars
solving the equation gets you:
monthly budget = 320 dollars
Answer:
Step-by-step explanation:
Mina is analyzing products of negative numbers. Is the product (- 7.291015)(- 3.214195) • (- 2.124819) positive or negative? How do you know ? Explain your reasoning . If 99 negative numbers are multiplied together , is the product positive or negative ? How do you know ? Explain your reasoning
Answer:
2110 cm³
Step-by-step explanation:
Volume = V1 + V2,
Where V1 is the volume of the pyramid, and V2 is the volume of half cylinder
V1 = ⅓×(Base area)×height
V1 = ⅓×(12.6×21.5)×8.5 = 767.55
V2 = ½×(pi×r²×h)
r = 12.6÷2 = 6.3
V2 = ½×(pi×6.3²×21.5) = 1340.415
Volume = V1 + V2
= 767.55 + 1340.415
= 2107.965
= 2110 cm³ (3 sf)
Here are the steps. I'll try to make them as easy as possible :)
2/3x+1=5
Step 1: Subtract 1 from both sides.
2/x+1-1=5-1
Step 2: Multiply both sides from 3/2
(3/2)*(2/3x)=(3/2)*(4)
And the answer will be 6
x=6
