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guapka [62]
3 years ago
6

L Pretest Unit 2

Mathematics
2 answers:
lukranit [14]3 years ago
8 0

Answer:

Work done below!

Step-by-step explanation:

8x + c = k

Subtract c from both sides;

8x = -c + k

Divide both sides by 8;

x = -\frac{1}{8}c +\frac{1}{8}k

ddd [48]3 years ago
6 0

Answer:

A. x = k+c/8

Step-by-step explanation:

Might be the most accurate answer based on what I see above.  

Since you are solving for x, you would first subtract c on both sides to get 8x = k - c.  From there are on out, you would then divide 8 on both sides to get your final answer which is x = k+c/8.

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Connie made deposits of $2,000 at the beginning of each year for four years. the rate she earned is 5% annually. what is the val
Dvinal [7]
To get the value of Connie's deposits we use the future value of annuity:
FV=P[((1+r)^n-1)/r]
where:
P=periodic deposits
r=rate
n=time
thus plugging our values in the formula we get:
FV=2000[((1+0.05)^4-1)/0.05]
FV=$8620.25

Answer: $8620.25
7 0
4 years ago
A local salesman receives a base salary of $975 monthly. He also receives a commission of 6% on all sales over $1200. How much w
IrinaK [193]

He has to sell in a month $26616.67.

Given that a local salesman receives a base salary of $975 monthly and he also receives a commission of 6% on all sales over $1200.

A numerical assertion wherein two articulations are delivered equivalent to each other is known as an algebraic condition.

Let the Sales amount be s.

We have:

Sales over 1,200 is written as

s-1200

6% is also 0.06  as a decimal,

so according to question, we have

0.06(s - 1200) + 975=2500

Now, we will apply the distributive property a(b+c)=ab+ac, we get

0.06s-0.06×1200+975=2500

Further, we want to simplify the left-hand side, we get

0.06s-72+975=2500

0.06s+903=2500

Furthermore, we will subtract 903 from both sides, we get

0.06s+903-903=2500-903

0.06s=1597

Now, we will divide both sides with 0.06, we get

0.06s/0.06=1597/0.06

s=26616.67

Hence, he have to sell in a month if he needed to have a monthly income of $2500 is $26616.67.

Learn more about algebraic equation from here brainly.com/question/4344214

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5 0
2 years ago
Which statements about countries with lower GDP and lowest HDI scores are accurate? Check all that apply
yKpoI14uk [10]

Answer:The countries with lower GDP are the same as those with the lowest HDI.

U GDP is a solid indicator of what a country's HDI will be.

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Step-by-step explanation:

Which statements about countries with lower GDP and lowest HDI scores are accurate?

The countries with lower GDP are the same as those with the lowest HDI - human development index a measure of life expectancy, education and per capita income indicators.

The GDP rank tends to be associated with the lowest HDI.

U GDP - gross domestic product the total monetary value of goods and services in country at a specific time period is a solid indicator of what a country's HDI will be.

da​

The GDP can be used to rank a country's HDI

6 0
3 years ago
Read 2 more answers
A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the
Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=\frac{25}{\pi r^2}

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=\frac{25}{\pi r^2}

\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}

\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}

Differentiating with respect to r

C'=4\pi r- \frac{62.5}{ r^2}

Again differentiating with respect to r

C''=4\pi + \frac{125}{ r^3}

To find the minimize cost, we set C'=0

4\pi r- \frac{62.5}{ r^2}=0

\Rightarrow 4\pi r=\frac{62.5}{ r^2}

\Rightarrow  r^3=\frac{62.5}{ 4\pi}

⇒r=1.71

Now,

\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=\frac{25}{\pi\times 1.71^2}

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0
3 years ago
Simplify <br> Rewrite the expression in the form z^n<br><br> z^5•z^6= ______
gtnhenbr [62]

Answer:

z²^30

Step-by-step explanation:

This is it enjoy.

4 0
3 years ago
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