last year, debra opened an investment account with $7600. At the end of the year, the amount in the account had increased by 29.
1 answer:
There are $9842 in her account at the end of last year.
Step-by-step explanation:
Given,
Amount in account = $7600
Increment by the end of year = 29.5%
Amount of increase = 29.5% of amount in account
Amount of increase =
Amount of increase = 0.295*7600 = $2242
The increase is $2242.
Amount after increase = 7600 + 2242 = $9842
There are $9842 in her account at the end of last year.
Keywords: percentage, division
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Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10
Answer:
The ac product of is <u>420</u>.
The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.
Step-by-step explanation:
1) The general form of a quadratic is . Hence, multiplying 35 by 12 gives you the product of ac, which is 420.
2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.
3) Write as a sum.
Now, we can factor them out by grouping.
Since, is common in both of the factors, we only take one of the
along with
and
.