Mathematics, 06.10.2019 15:00 hokamidat

Sheba opened a retirement account with $36,500. her account grew
at a rate of 7% per year compounded annually. she made no deposits
or withdrawals on the account. at the end of 20 years, what was the
account worth, to the nearest dollar?
(1) $87,600 (3) $141,243
(2) $130,786 (4) $1,483,444,463

Answers: 1

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Answers

After 20 years, the account is worth 3) $141,243 rounded to the nearest dollar.

7% interest rate compounded annually means that the interest earned also earns an interest with the rate of 7%. Thus, the principal is multiplied with 1.07 or 107%.

Y1 36,500.00                         1.07      39,055.00
Y2 39,055.00                         1.07      41,788.85
Y3       41,788.85                         1.07      44,714.07
Y4 44,714.07                         1.07      47,844.05
Y5 47,844.05                         1.07      51,193.14
Y6 51,193.14                         1.07      54,776.66
Y7 54,776.66                         1.07      58,611.02
Y8 58,611.02                         1.07      62,713.80
Y9 62,713.80                         1.07      67,103.76
Y10 67,103.76                         1.07      71,801.02
Y11 71,801.02                         1.07      76,827.10
Y12 76,827.10                         1.07      82,204.99
Y13 82,204.99                         1.07      87,959.34
Y14 87,959.34                         1.07      94,116.50
Y15 94,116.50                         1.07    100,704.65
Y16 100,704.65                         1.07    107,753.98
Y17 107,753.98                         1.07    115,296.76
Y18 115,296.76                         1.07    123,367.53
Y19 123,367.53                         1.07    132,003.26
Y20 132,003.26                         1.07    141,243.48

Answer from: Quest

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

#14 . solve each inequality using addition and subtraction.

Answer from: Quest

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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