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3 years ago

4) PLEASE HELP Ray wants to buy a computer game that is originally priced at $38.50. The

Mathematics

1 answer:

lidiya [134]3 years ago

4 0

Answer:

$32.96

Step-by-step explanation:

38.50 (20%) + 7.70

38.50 - 7.70 = 30.80

:Before tax:

$30.80

30.80(7%) = $2.16

30.80 + 2.16 = 32.96

:Total after tax:

$32.96

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The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angle

Oduvanchick [21]

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}

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3 years ago

Tickets to a play cost $5 at the door and $4 in advance. The theater club wants to raise $400 from the play.

natima [27]

The theatre needs to sell 100 tickets in advance. or 80 tickets at the door to reach $400.
They would need to sell 48 tickets at the door to reach their goal.

4 0

3 years ago

Let M be the midpoint of LN. If LM = 9 inches what must be the length of LN? (draw a picture if needed!)

Pani-rosa [81]

Answer:

LN = 18

Step-by-step explanation:

hope that's the answer..

6 0

3 years ago

You eat 2/3 of your pizza and you have 4 slices leftover. How many slices did you originally order? Write and solve an equation

avanturin [10]

Answer:

Step-by-step explanation:

4 × 3 = 12

3/3 = 12

2/3 = 8

1/3 = 4

8 slices were eaten and 4 are left, and if you add 8 + 4 or you multiply the 3 × 4, you get 12. There were originally 12 slices.

5 0

2 years ago

You need to invest $1000 in a bank account and are give two options. The first option is to earn $50 every month you leave the m

garri49 [273]

Answer:

<h3>Option 1</h3>

Earn $50 every month.

Let x = number of months the money is left in the account
Let y = the amount in the account
Initial amount = $1,000

$\implies y = 50x + 1000$

This is a linear function.

<h3>Option 2</h3>

Earn 3% interest each month.

(Assuming the interest earned each month is compounding interest.)

Let x = number of months the money is left in the account
Let y = the amount in the account
Initial amount = $1,000

$\implies y = 1000(1.03)^x$

This is an exponential function.

<h3>Table of values</h3>

$\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}$

From the table of values, it appears that Account Option 1 is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month. To find this, graph the two functions and find the point of intersection.

From the attached graph, Account Option 1 accrues more until month 32. From month 33, Account Option 2 accrues more in the account.

<h3>Conclusion</h3>

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice. However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

3 0

1 year ago