COULD YOU PLEASE HELP OUT WITH THIS PROBLEM!!??

Find the value of each expression.<br> 6b2 – 5 if b = 3

snow_tiger [21]

The answer should be 31, if I’m doing this correctly.
6(3)2-5 (multiply 6 and 3, you get 18)
18(2)-5 (multiply 18 and 2, you get 36)
36-5 (subtract 36 and 5)
31

3 0

3 years ago

Read 2 more answers

Christopher can eat 8 bags of skittles in 5 minutes. What is his rate per minute? Round your answer to the nearest hundredth. At

Dennis_Churaev [7]

<span>8/5 = 1.6 bag per minute

8 bags of skittles in 5 minutes
? 10 minutes

8 x 10 / 5
= 80 /5
= 16

answer
</span>1.6 bag per minute
<span>and
16 bags in 10 minutes</span>

7 0

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><u>Option 1</u></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 <u>linear function</u>.

<h3><u>Option 2</u></h3>

Earn 3% interest each month.

(Assuming the interest earned each month is <u>compounding interest</u>.)

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 <u>exponential function</u>.

<h3><u>Table of values</u></h3>

<u />

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

From the table of values, it appears that <u>Account Option 1</u> 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 <u>point of intersection</u>.

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

<h3><u>Conclusion</u></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

1) Complete the sentences to explain how to multiply 4.56 x 1,000.

S_A_V [24]

Answer:

The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the right.

Division of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the left.

In this question:

We multiply the decimal 4.56 by 1000.

1000 is the 3rd power of 10, because $10^3 = 1000$ . So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

4 0

3 years ago

A triangle has angle <1 and <2 as a remote interior angles with respect to exterior angle <3. Given that m<1 =50 and

Step2247 [10]

∠1 = 50°
∠2=70°
If ∠3 is exterior ansgle with respect to ∠1 and ∠2, ∠3 must be ∠1+∠2 = 50°+70° =120°..Whereas, the interior angle with ∠3 will be 180°-120°=60°

7 0

3 years ago