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3 years ago

Alex's work for the following quiz problem is as follows: Is Alex correct? if it's incorrect, what is the correct solution?

Mathematics

1 answer:

exis [7]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

$\sqrt{10}$ and $\sqrt{5}$ cannot be simplified as they are already in simplest form.

Note that $\sqrt{10}$ + $\sqrt{5}$ ≠ $\sqrt{15}$

Thus

2 $\sqrt{10}$ + 5 $\sqrt{5}$ ← cannot be simplified any further

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8. Mr. Azu invested an amount at rate of 12% per annum and invested another amount, GH¢

sashaice [31]

Answer:

GH¢. 18098.46

Step-by-step explanation:

Let the first investment giving 12% interest per annum be Bank A

Let the 2nd investment giving 10% per annum be bank B

Let the first amount invested be

GH¢. X and let the second amount invested be GH¢. X + 580

Thus; In bank A;

Principal amount in first = GH¢. x

rate = 12 %

time = 1 year

Formula for simple interest = PRT/100

Where P is principal, R is rate and T is time.

So, interest in his investment = 12X/100 = 0.12X

while in bank B;

principal amount = GH¢. X + 580

rate = 14%

time = 1 yr

So, interest in his investment = [(X + 580) × 14]/100

= 0.14(X + 580)

So, total accumulated interest is;

0.12X + 0.14(X + 580) = 0.12X + 0.14X + 81.2 = 0.26X + 81.2

Now, we are given accumulated interest = GH¢. 2,358.60

Thus;

2358.60 = (0.26X + 81.2)

2358.6 - 81.2 = 0.26X

X = 2277.4/0.26

X = 8759.23

So,

first amount invested = GH¢. 8759.23

Second amount invested = GH¢. 8759.23 + GH¢. 580 = GH¢. 9339.23

Total amount invested = GH¢. 8759.23 + GH¢. 9339.23 = GH¢. 18098.46

4 0

3 years ago

Annual salary plus bonus data for chief executive officers are presented in the BusinessWeek Annual Pay Survey. A preliminary sa

Anuta_ua [19.1K]

Answer:

175

Step-by-step explanation:

The sample size n in<em> Simple Random Sampling</em> is given by

$\bf n=\frac{z^2s^2}{e^2}$

<em> where z = 1.96 is the z-score associated with a 95% confidence level ans s the standard deviation. </em>

Replacing values

$\bf n=\frac{(1.96)^2(675)^2}{(100)^2}=175$

So, there should be 175 chief executive officers in a sample if we want to estimate the population mean annual salary plus bonus with a margin of error of $100,000

7 0

3 years ago

Evaluate 9/upon g +2h=5 when g=3 and h=6

Tema [17]

I do not know I am sorry

8 0

3 years ago

A rectangle has a length of 45 inches less than 4 times its width. if the area of the rectangle is 3325 square inches, find the

Maru [420]

The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have $3325=4w^2-45w$ . Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. $4w^2-45w-3325=0$ . We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!

8 0

3 years ago

Please help me now I need help

Fudgin [204]

Answer: B

Step-by-step explanation:

4 0

3 years ago