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Tema [17]
2 years ago
10

Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $10 each week. Sylvia decides to

put in an additional 10% of the amount in the account each week.
Who has more money after the first additional deposit? Explain.

Who has more money after the second additional deposit? Explain.
Mathematics
2 answers:
kati45 [8]2 years ago
7 0
Leroi’s account

$100
After first deposit = $100+$10=$110
After second deposit= $110 + $10 = $120


Sylvia’s account

$100
10% of $100 is $10
After first deposit = $100+ $10 = $110
10% of $110 = $11
After second deposit = $110 + $11 = $121

Therefore after their first deposit, both will have the same value in their accounts.
But after the second deposit, Sylvia will have 1$ more in her account than Leroi.
Taya2010 [7]2 years ago
7 0

Answer:

ok just follow these steps

Step-by-step explanation: part over whole like this    part                       then            percent over 100% like this                                  percent

                                          -----------over                  ------------------

                                             whole                                 100%

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AlekseyPX

Answer:

The approximate solution to the system is (-2.7, 2.1).

Step-by-step explanation:

To solve the system of equations \begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix} you must:

\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}

\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7

\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1

The approximate solutions to the system of equations are:

x=-2.7 ,\:y=2.1

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3 years ago
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Vika [28.1K]

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

  • sin=O/H
  • cos=A/H
  • tan=O/A

----------------------------------------------------------

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

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Hope this helps!! :)

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