9514 1404 393
Answer:
choices A and F are part of Leo's system of equations
Step-by-step explanation:
The formula for the amount in an account compounded annually is ...
A = P(1 +r)^t
For the given amounts and variables, that is ...
y = 500(1.025)^x . . . . matches F
__
The formula for the amount in an account compounded continuously is ...
A = P·e^(rt)
With given values, this is ...
y = 400e^(0.02x) . . . . matches A
For the arithmetic sequence
a₁, a₂, a₃, ...,
The n-th term is
where d = common difference.
Because a₁₀ = 41,
a₁ + 9d = 41 (1)
Because a₁₅ = 61
a₁ + 14d = 61 (2)
Subtract (1) from (2).
5d = 20
d = 4
From (1), obtain
a₁ = 41 - 9*4 = 5
Therefore
a₃ = 5 + 2*4 = 13
Answer: a₃ = 13
Refer to BIDMAS.
5*6=30
27+30=57
Your answer is 57.
SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.
prove = How much the peanut is used to make 10 pound of 45%
peanut.
TO PROOF - Assume that
let x be the value of the peanut used by sara from the bag
60% peanut bag.
let ( 10 - x) be the value of peanut used by sara from 28% peanut
bag.
as given the bag become of the 10 pound which contain
45% of peanunt.
thus we have
0.60x + 0.28 ( 10 - x ) = 0.45 (10)
0.60x + 0.28 ( 10 -x ) = 4.5
0.60x + 2.8 - 0.28 x = 4.5
0.60x - 0.28x = 4.5 - 2.8
0.32x = 1.7
x = 5.3125 peanut is taken from the 60% bag.
& 4.6875 peanut from the 28% bag.
S<span>tep-1 : Multiply the coefficient of the first term by the constant </span><span> <span> 3</span> • 4 = 12</span>
<span>Step-2 : Find two factors of </span> 12 <span> whose sum equals the coefficient of the middle term, which is </span><span> 13 </span><span>.
</span><span><span>
-12 + -1 = -13</span><span>
-6 + -2 = -8</span><span>
-4 + -3 = -7</span><span>
-3 + -4 = -7</span><span>
-2 + -6 = -8</span><span>
-1 + -12 = -13</span><span>
1 + 12 = 13 </span></span>
