On the account with interest compounded annually, the account balance will be
P*(1 +r)^t
4500*1.06³ = 5358.57
so the interest earned will be
5358.57 -4500 = 859.57
On the account with simple interest, the interest earned will be
I = Prt
I = 4500*.06*3
I = 810.00
The total interest earned on the two accounts will be
$859.57 +810.00 = $1669.57 . . . . . . . . selection A
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Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.
Answer:
The distance of Satelite from the earth's surface = 2720.12 miles
Step-by-step explanation:
Below is the calculation for distance:
Use Pythagorean theorem
Distance, d² = 5400² + 4000²
d² = 45160000
d = 6720.12
Subtract the radius to find the distance from earth's surface.
Distance = 6720.12 - 4000 = 2720.12
The distance of Satelite from the earth's surface = 2720.12 miles
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Answer:
x = -7/12.
Step-by-step explanation:
Given:

Create a common denominator for each term:

Disregard the denominator:
12x + 5 = -2
Subtract 5 from both sides:
12x = -7
Divide both sides by 12:
x = -7/12.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.