If a + b = 10 what is the value of 2(a + b) + a + b/6 + (a + b) ^ 2

Please if anyone could help me with this questions??

Stels [109]

Answer:

Question 5

a)Simple Interest = Nu 450, Total Amount = Nu 6,450

b)Simple Interest = Nu 250, Total Amount = Nu 12,750

c)Simple Interest = Nu 2,880, Total Amount = Nu 10,880

Question 6

The amount of commission Mindu earned was Nu 4,750

Step-by-step explanation:

Question 5

Simply Interest formula is given as

I = P × R × T

Total Amount = P + I

Where

P = Principal

R = Rate

T = Time in years

I = Interest

a) P = Principal = Nu 6000

R = Rate = 15% = 0.15

T = Time = 6 months , converting to years = 6/12 months = 0.5years

I = Interest = 6000 × 0.15 × 0.5

I = Nu 450

Amount = P + I

= Nu 6000 + Nu 450

= Nu 6,450

Simple Interest = Nu 450, Total Amount =Nu 6,450

b) P = Principal = Nu 12,500

R = Rate = 8% = 0.08

T = Time = 3 months , converting to years = 3/12 months = 0.25 years

I = Interest = 12,500 × 0.08 × 0.25

I = Nu 250

Amount = P + I

= Nu 12,250 + Nu 240

= Nu 12,750

Simple Interest = Nu 250, Total Amount =Nu 12,750

c) P = Principal = Nu 8000

R = Rate = 12% = 0.12

T = Time = 3years

I = Interest = 6000 × 0.12 × 3

I = Nu 2,880

Amount = P + I

= Nu 8000 + Nu 2,880

= Nu 10,880

Simple Interest = Nu 2,880, Total Amount = Nu 10,880

Question 6

We are told in the question that each month:

If sales are up to Nu 75,000, = Mindu earns 3% commission

If sales are over Nu 75,000 = Mindu earns 5% commission

Last month, Mindu has sales of Nu 95,000

Since his sales was above Nu 75,000 he earns a 5% commission

Therefore, the amount he earned as commission is calculated as:

Nu 95,000 × 5%

= Nu 4,750

Therefore, the amount of commission Mindu earned was Nu 4,750

3 0

3 years ago

The length of a piece of lumber is 6.5 meters. How many centimeters is this?

patriot [66]

650 cm when you convert it that is what i got it is correct

4 0

3 years ago

Read 2 more answers

Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in

vampirchik [111]

Answer:

B. 2 Over 5

Step-by-step explanation:

The answer would be B because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.

5 0

2 years ago

Solve the following system using the substitution, elimination, or graphing method for the x coordinate:

igomit [66]

Hey there!

To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:

<span> x + y = +1
5x + y = –6

</span>–1(x + y = +1)
5x + y = –6

–x – y = –1
5x + y = –6

You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation.

–x – y = –1
+ 5x + y = –6

4x + 0y = –7
4x = –7
x = –1.75

Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem.

x + y = 1
–1.75 + y = 1
+1.75 +1.75

y = 2.75

All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!

–1.75 + 2.75 = 1
<span>5(–1.75) + 2.75 = –6

</span>(–1.75, 2.75) is the solution to your system.

Hope this helped you out! :-)

3 0

3 years ago

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that th

11111nata11111 [884]

Answer:

The null hypothesis is $H_0: \mu = 14$

The alternate hypothesis is $H_a: \mu < 14$

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

$H_0: \mu = 14$

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

$H_a: \mu < 14$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that $\mu = 14$

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that $n = 40$

Test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}$

$t = -1.95$

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.

5 0

3 years ago

If a + b = 10 what is the value of 2(a + b) + a + b/6 + (a + b) ^ 2 - 2