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katrin [286]
3 years ago
11

A principal of $4,570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how much money w

ill be in the account at the end of 5 years?
a.
$4654.15
b.
$4775.65
c.
$5638.75
d.
$5695.05
Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

A principal of $4,570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how much money will be in the account at the end of 5 years?

Algebra

Answer:

d, $5695.05

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D is your answer 72/12= 6 so that is 6 feet
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The population of a statistical survey is chose at random, so it's not believed to be biased.

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Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
4 years ago
Jaclyn's company required an initial investment of $2,125 for starting costs and sells construction toys for $49.99 each. Richie
Darina [25.2K]

The the number of construction toys that must be bought so that the profit for Jacelyn's company and Richie's company is the same. is t= 204.3269230769231

<h3>what is equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

As, per the given situation the equation can be

2125 + 49.99 t = 39.95 t

10.4 t= 2125

t= 2125 / 10.4

t= 21250/104

t= 204.3269230769231

Learn more about equation here:

brainly.com/question/10413253

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6 0
2 years ago
A Ferris wheel has a diameter of 90 feet. How far does car travel in one revolution in terms of π?
Yuri [45]

90\pi

one revolution is the circumference of the circle.

C=\pid=90\pi

6 0
3 years ago
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