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Vilka [71]
3 years ago
11

Dylan invested $4,400 in an account paying an interest rate of 9 1/8% compounded continuously. Anna invested $4,400 in an accoun

t paying an interest rate of 9 3/8% compounded monthly. To the nearest dollar, how much money would Anna have in her account when Dylan's money has tripled in value?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

13544

Step-by-step explanation:

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Write the equation of the line in slope-intercept form passing through the points (-4,2) and (1,12)
alexira [117]

Answer:

y = 2x + 10

Step-by-step explanation:

Find the slope:

12 - 2 / 1 - (-4)

10 / 5 = 2

Write in point-slope form:

y - 12 = 2(x - 1)

rearrange:

y - 12 = 2x - 2

y = 2x + 10

6 0
3 years ago
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by
garik1379 [7]

Answer:

x^2+12x-220=0 -- Proved

x = 10\ \ \ x = -22

Step-by-step explanation:

Given

Volume = 924cm^3

Dimension: 4cm; (x+1)cm; (x+11)cm

Required

Show that x^2+12x-220=0

The volume is calculated as:

4 * (x + 1) * (x + 11) = 924

Open the brackets

(4x + 4) * (x + 11) = 924

4x^2 + 44x + 4x + 44 = 924

4x^2 + 48x+ 44 = 924

Collect Like Terms

4x^2 + 48x+ 44 - 924=0

4x^2 + 48x -880=0

Divide through by 4

\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0

x^2+12x-220=0

Solving further:

Expand the expression

x^2 + 22x - 10x - 220 = 0

Factorize:

x(x + 22) - 10(x + 22) = 0

(x - 10)(x + 22) = 0

Split:

x - 10 = 0;\ \ \ x + 22 = 0

x = 10\ \ \ x = -22

5 0
3 years ago
What is the integer for -22 + (-16) =
natka813 [3]

Answer:

-38

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify 12 + 3(2x - 3) + 4.
raketka [301]

Answer:

7 + 6x

Step-by-step explanation:

12 + 3(2x - 3) + 4 =

12 + 6x - 9 + 4 =

7 + 6x

6 0
3 years ago
A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.
Phantasy [73]

Answer:

slope = 3

point (2, 5)

b = y - m*x

b = 5 -3*2

b = -1

Then we enter the slope and the value of b into this equation:

y = mx + b

y = 3x -1

Source: https://www.1728.org/distance.htm

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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