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algol13
2 years ago
9

Which expression represents the value of the series below? 3+ 7 + 11 + 15 + ... + 1,671

Mathematics
1 answer:
torisob [31]2 years ago
4 0

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

.

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bonufazy [111]
6 inches x 8 inches = 48 inches

48 inches x 1.5 feet = 72 feet

72 feet x $9.75 = $702 <-- Total

Answer $720
8 0
3 years ago
Which are the solutions of x2 = –5x + 8?
Nostrana [21]

Answer:

As exact answers:

x=\frac{-5-\sqrt{57} }{2}  and  x=\frac{-5+\sqrt{57} }{2}

As decimal answers:

x = -6.2749172 ≈-6.3

x = 1.27491722 ≈  1.3

Step-by-step explanation:

For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.

x² = –5x + 8

x² + 5x - 8 = 0

State the values for "a", "b" and "c",

a = 1; b = 5; c = -8

x=\frac{-b±\sqrt{b^{2}-4ac} }{2a}            (Ignore the Â, it's a formatting error)

x=\frac{-5±\sqrt{5^{2}-4(1)(-8)} }{2(1)}           Simplify

x=\frac{-5±\sqrt{25-(-32)} }{2}               Two negatives make a positive

x=\frac{-5±\sqrt{57} }{2}  

Split the equation at the ± for plus and minus:

x=\frac{-5+\sqrt{57} }{2}  = 1.27491722 ≈ 1.3

x=\frac{-5-\sqrt{57} }{2}  = -6.2749172 ≈ -6.3

Therefore the solutions are 1.3 and -6.3.

6 0
3 years ago
Luke’s Bakery recently spent a total of $69 on new equipment, and their average hourly operating costs are $15. Their average ho
Ann [662]

Answer:

Step-by-step explanation:

69 + 15h = 39h

69 = 39h - 15h

69 = 24h

69/24 = h

2.875 hrs <======

69 + 15(2.875) = 39(2.875)

69 + 43.125 = 112.125

$ 112.125 = $ 112.125 <====

I didn't round anything.

3 0
3 years ago
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
anygoal [31]
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
putting time into years for simplicity,
4 months ÷ 12 months/year = 0.333333 years,
then, solving our equation

I = $ 376.00

I = 18800 × 0.06 × 0.333333 = 375.999624
I = $ 376.00

The simple interest accumulated
on a principal of $ 18,800.00
at a rate of 6% per year
for 0.333333 years (4 months) is $ 376.00.
5 0
3 years ago
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First. y=2x
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