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4 years ago

5-7(-4q+5) show work please

Mathematics

1 answer:

yKpoI14uk [10]4 years ago

4 0

5-7(-4q+5)
Use distributive property
5 + 28q - 35
Subtract 35 from 5
Final Answer: 28q - 30

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Find the area of this parallelogram

gulaghasi [49]

Answer:

140 cm²

Step-by-step explanation:

The height of the parallelogram is 10cm . And its base is 14cm .We know that the area of parallelogram is product of base and height .

⇒ Area = base × Height

⇒ Area = 14cm × 10cm

⇒ Area = 140 cm² .

<h3>Hence the area of the parallelogram is 140 cm² .</h3>

7 0

3 years ago

Round 25,678 to the nearest ten thousand

Art [367]

25,678 rounded to the nearest 10,000 would be 30,000

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4 years ago

A sample of male and female smartphone users were asked to name their favorite type of app from the list below.

Leni [432]

Answer:

males like sports better

females like cooking apps better

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Step-by-step explanation:

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3 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.