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irinina [24]
3 years ago
12

Find the total amount in the compound interest account 1000 is compounded annually at a rate of 11% for 7 years round to the nea

rest cent
Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

The answer is 400

Step-by-step explanation:

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(5.2x10^-1)(1.5x10^-5)
VLD [36.1K]

Answer:

(10^-6) (5.2x1.5 )=10^-6 x 7.8 = 7.8 x10^-6

Step-by-step explanation:

0.000001 x7.8=0.0000078

6 0
3 years ago
Question 3 Determine the leg lengths between the two points: (6, -3) and (-2,4).
Shalnov [3]

Answer:

9

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:

\begin{gathered}a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2\end{gathered}

a

2

+b

2

=c

2

x

2

+(x−3)

2

=(x+3)

2

x^2+x^2-6x+9=x^2+6x+9x

2

+x

2

−6x+9=x

2

+6x+9

→Subtract x^2-6x+9x

2

−6x+9 from both sides:

x^2 = 12xx

2

=12x

→Subtract 12x from both sides:

x^2 -12x=0x

2

−12x=0

→Factor out x:

x(x-12)=0x(x−12)=0

→Separate, set = to 0, and solve:

\begin{gathered}x = 0\\x -12=0\end{gathered}

x=0

x−12=0

→ Add 12 to both sides: x = 12x=12

→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.

→All we need to do is take 12, and plug it into the equation for the shortest leg.

\begin{gathered}x - 3=?\\12-3=9\end{gathered}

x−3=?

12−3=9

3 0
3 years ago
Answer the questions. All help needed.
svp [43]

1. Multiply all the x and y by 2

M (-6,4)

A (-4,6)

T (-2,4)

H (-4,2)

2. They stayed in the same quadrants. The x and y values shifted.

3. Scale factor of 1/2

4. .....mayhaps?

4 0
3 years ago
Show that the series is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of
Murljashka [212]

Answer:

6 terms

Step-by-step explanation:

2 − 2/4 + 2/9 − 2/16 + ...

∑ (-1)ⁿ⁺¹ 2 / n²

Applying alternating series test:

lim(n→∞) 2/n² = 0

2/(n+1)² < 2/n², so the series is decreasing.

Therefore, the series converges.

2/(n+1)² < 0.05

(n+1)²/2 > 20

(n+1)² > 40

n+1 > 6.32

n > 5.32

n = 6

7 0
3 years ago
Write an equation of the line with a slope of 0 and y -intercept of 5 .<br><br> y=
ruslelena [56]

Answer:

y=-5

Step-by-step explanation:

5 0
2 years ago
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