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lawyer [7]
2 years ago
15

How much will a registered retirement savings deposit of $13 500.00 be worth in

Mathematics
1 answer:
Serjik [45]2 years ago
5 0

Answer:

33832.80

Step-by-step explanation:

Given that 13500 dollars is deposited in savings bank at 8.44% for 11 years

Compounding quarterly

Effective interest = \frac{8.44}{400} =0.0211

Effective time = 11(4) = 44

Hence total amount after 11 years

=13500(1.0211)^{44} \\=33832.80

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GenaCL600 [577]
The answer is 2 units up

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Simplify: -3(y + 2)^2– 5 + 6y<br> What is the simplified product in standard form?
Ymorist [56]

-3(y²+4y+4) - 5 +6y

-3y² - 12y - 12 -5 + 6y

-3y² -6y -17

-(3y²+6y+17)

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2 years ago
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Solve for x in the equation x squared minus 12 x + 36 = 90. x = 6 plus-or-minus 3 StartRoot 10 EndRoot x = 6 plus-or-minus 2 Sta
goldenfox [79]

Answer: x = 6 plus-or-minus 3 StartRoot 10

Step-by-step explanation:

The given quadratic equation is expressed as

x² - 12x + 36 = 90

Rearranging the equation so that it takes the the standard form of

ax² + bx + c, it becomes

x² - 12x + 36 - 90 = 0

x² - 12x - 54 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 1

b = - 12

c = - 54

Therefore,

x = [- - 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1

x = [12 ± √(144 + 216)]/2

x = [12 ± √360]/2

x = (12 ± 6√10)/2

x = 6 + 3√10

3 0
2 years ago
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OMG PLEASE HELP ME ASAP!!!!!!! A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in
Dominik [7]
Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than. Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125
3 0
2 years ago
15 Points!
goblinko [34]

Answer:

coordinate of point A is (a,b)

coordinate of point C is (2c,d)

slope of AD and BC =\frac{b}{a-c}

Step-by-step explanation:

According to midpoint formula

If we have points P (x_{1} ,y_{1} ) and Q (x_{2} ,y_{2} )

then the coordinate (x,y) of mid point of line PQ is given by

x=\frac{x_{1} +x_{2} }{2} and y=\frac{y_{1} +y_{2} }{2}

now from the given diagram A is the mid point of line joining  R(0,0) and S(2a,2b)

Using midpoint formula, coordinates of point A is given by

x=\frac{0+2a}{2}= a and y=\frac{0+2b}{2} =b

so we have

coordinate of point A is (a,b)

Also C is the midpoint of line joining T (2c,2d) and V(2c,0)

coordinate of point C is given by

x= \frac{2c+2c}{2} =2c and y=\frac{2d+0}{2} =d

so we have

coordinate of point C is (2c,d)

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P (x_{1} ,y_{1} ) and Q (x_{2} ,y_{2} )

then the slope of PQ =\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

hence slope of AD= \frac{0-b }{c-a}

                                 =\frac{-b}{c-a}

                                  =\frac{-b}{-(a-c)}

                                  =\frac{b}{a-c}

and slope of BC  =\frac{d-(b+d)}{2c-(a+c)}

                            =\frac{d-b-d}{2c-a-c}

                             =\frac{-b}{c-a}

                              =\frac{b}{a-c}

so we have

slope of AD and BC =\frac{b}{a-c}

7 0
2 years ago
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