What’s the answer??????

TEA [102]

Answer:

Suit: $13; Shoes: $8

Step-by-step explanation:

Represent the unknowns (which are commissions on the sale of suits and shoes) by u and h.

The associate earned a commission of $47 the first week. That $47 represents the sum of the commission earned from selling suits and the commission earned from selling shoes.

We can represent this fact as follows:

3u + 1h = $47 (3 times the commission for selling 1 suit)

The appropriate equation describing the situation in the second week follows:

7u + 2h = $107

Now we have two linear equations in two unknowns, enough to enable us to calculate the commissions on selling suits and shoes.

3u + 1h = $47

7u + 2h = $107

We are to solve this system using the substitution method. The easiest approach here is to solve the first equation for h: h = $47 - 3u

and

then replace h in the second equation by $47 - 3u:

7u + 2($47 - 3u) = $107

Performing the indicated multiplication, we get 7u + $94 - 6u = $107

Simplifying this results in u + $94 = $107, and subtracting $94 from both sides reduces this equation to u = $13.

Thus, the commission on selling a suit is $13.

The commission on selling a pair of shoes is obtained from subbing $13 for u in the very first equation (3u + 1h = $47): 3($13) + h = $47. Subtracting $39 from both sides results in $8 = h. The commission on selling a pair of shoes is $8.

3 0

3 years ago

William invested $12,000 in a bank account that pays 9 percent simple interest. His friend invested the same amount at another b

yarga [219]

<h3>Answer: B) 1.0 year</h3>

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Explanation:

We have these two functions

f(t) = 12(1.02)^(4t)
g(t) = 12(1.09)t

which represent the amounts for his friend and William in that order. Strangely your teacher mentions William first, but then swaps the order when listing the exponential function as the first. This might be slightly confusing.

The table of values is shown below. We have t represent the number of years and t starts at 0.5. It increments by 0.1

The f(t) and g(t) columns represent the outputs for those mentioned values of t. For example, if t = 0.5 years (aka 6 months) then f(t) = 12.48 and that indicates his friend has 12,480 dollars in the account.

I've added a fourth column labeled |f - g| which represents the absolute value of the difference of the f and g columns. If f = g, then f-g = 0. The goal is to see if we get 0 in this column or try to get as close as possible. This occurs when we get 0.09 when t = 1.0

So we don't exactly get f(t) and g(t) perfectly equal, but they get very close when t = 1.0

It turns out that the more accurate solution is roughly t = 0.9925 which is close enough. I used a graphing calculator to find this approximate solution.

It takes about a year for the two accounts to have the same approximate amount of money.

4 0

3 years ago

A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6

Zielflug [23.3K]

Answer:

The interval (-0.0199, 0.0510) represents the region of values where the true difference (in population terms now) between the initial proportion of registered voters that favour candidate X and the proportion of registered voters that favour candidate X just before election can take on with a confidence level of 90%.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence. It is usually obtained from the sample.

p₁ represents the proportion of registered voters that favour candidate X in the initial poll, way before the election.

p₂ represents the proportion of registered voters that favour candidate X in the poll just before the election.

So, for this question the confidence interval for the true difference between the population proportion of registered voters that favour candidate X way before the elections and the population proportion that favour candidate X just before the election lies within (-0.0199, 0.0510) with a confidence interval of 90%.

Confidence interval is calculated mathematically as thus:

Confidence Interval = (Difference in Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the difference in the two sample proportions.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value = 1.645 (obtained from the z-tables because the sample size is large enough to ignore that information about the population standard deviation isn't given and t-critical value approximates z-critical value)

Hope this Helps!!!

4 0

3 years ago

A) Work out<br>4 1/7 + 1 1/2

posledela

The answer is 5 9/14

3 0

3 years ago

the space station has an average orbit of 250 miles above the earth. how many pennies would it take to make a stack that high? p

KatRina [158]

250 miles is 1 320 000 feet.

A penny is 0.005 feet tall.

You'd need 1 320 000 / 0.005 = 264 000 000 pennies to make a stack that high

7 0

2 years ago