9514 1404 393
Answer:
Dawn has $1670 in account 1 and $1570 in account 2.
Step-by-step explanation:
Dawn can multiply the second equation by 8 and add 7 times the first equation.
8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)
10A = 16,700
A = 1670
B = 1570 . . . . 100 less than A
Dawn has $1670 in account 1 and $1570 in account 2.
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<em>Check</em>
3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000
Answer:
Exact Form:
f=-5/3
Decimal Form:
f= -1.6
Mixed Number form:
f= -1 2/3
Step-by-step explanation:
Solve for f by simplifying both sides of the equation , then isolating the variable .
Exact Form:
f=-5/3
Decimal Form:
f= -1.6
Mixed Number form:
f= -1 2/3
Total number of shares owned is 75 shares
value of each share=$50
value of 50 shares will be:
75*50=$3750
the dividend earned
8/100×3750
=$300
Answer: $300
Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117