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garik1379 [7]
1 year ago
9

When your daughter was born, you decided that you would start saving money for her college education, and you felt that you woul

d like to have $50,000 by the time that she turns 18. If you can invest in a long-term account that pays 2% per year, paid quarterly, then how much should you invest monthly to have the required amount in time for your daughter to go off to college? $192.50 $316.34 OOOC $129.08 $578.64 ♡
Mathematics
1 answer:
Lynna [10]1 year ago
6 0

Given in the question:

a.) You would like to have $50,000 by the time your daughter turns 18.

b.) You can invest in a long-term account that pays 2% per year, paid quarterly.

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Solve each equation (quadratic pattern)
dusya [7]

Answer:  x = 2

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

2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}

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

Answer:  x = 0

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

3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}

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

Answer:  No Solution

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

4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}

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

Answer:  No Solution

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

<u>9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}</u>

<u />

6 0
3 years ago
Question 5 Now take a look at the angle measurements of AABC and AA'B'C'. Move the slider, and observe the values of the angle m
jeka57 [31]

Answer:

Step-by-step explanation:

7 0
3 years ago
A number cube labeled 1 to 6 is rolled 450 times. Which is the best prediction for the number of times that the number cube will
Vedmedyk [2.9K]
Haha, I don't think those answers belong to the question asked :P

The probability of rolling less than 3 is 2/6=1/3

So if you rolled 450 times you should expect to roll less than 3:

450(1/3)=150 times.
3 0
3 years ago
Property taxes are based on an assessed value of $132,000 and the tax rate is 8.5 mills. The property closes on Jun 14. On a bas
defon

Answer:

$132,000 X .0085 = $1,122 / 360 = $3.1166 X 164 = $511.13

One mill is one dollar per $1,000 dollars of assessed value.

In our case 8.5 mills equivalent to 0.0085.

So to get the assessed value for one day

we will get

$132,000 X .0085 = $1,122 / 360 = $3.1166

Now we have the value for one day,

For June 14, we will calculate the days from January 1st to date

total days are 164.  i.e. 5*30+14 = 164

Finally, the seller owes

$3.1166 * 164 = 511.13

6 0
3 years ago
1. (SLO) Simplify the expression: 6(b-7)
Sav [38]

1 → B

multiply each term in the parenthesis by the 6 outside

6(b-7) = 6b - 42

2 → D

multiply each term in the parenthesis by the 3 outside

3(4x+6y+2) = 12x+18y+6

3 → A

the value outside the parenthesis is -1, hence each term inside is multiplied by -1

-1(6x+5y) = -6x -5y


3 0
4 years ago
Read 2 more answers
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