Claire is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Claire's total pay on a day on which she sells xx computers.

Answer:

  see attached

Step-by-step explanation:

We assume you are looking for the graph of ...

  y = log(x) +4

This represents a vertical translation 4 units upward of the graph of log(x). That is, the point (1, 0) that appears on a graph of a log function will be translated to (1, 4).

The only graph shown that goes through the point (1, 4) is the last one, attached.

__

If you are actually looking for the graph of ...

  y = log(x +4)

it will be a graph of the log function shifted 4 units to the left. The 2nd offered choice is that graph. The point (-3, 0) will be on that graph.

_____

Additional comment

For a function y = f(x), the transformation ...

  y = f(x -h) +k

represents a horizontal shift of h units to the right, and a vertical shift of k units upward. Here, the argument of the log function is not clearly shown, so we cannot tell if the intended shift is to the left or upward.

Answer:

Yola is 42, Zed is 19

Step-by-step explanation:

I used a system of equations:

y - z = 23

2z + y = 80

Then I graphed them.

Step-by-step explanation:

Given is the 30°x60°x90° right triangle.

The ratio of its sides is:

Find the missing sides using the ratio above:

Answer:

[tex]\sf x = 4\sqrt{6}[/tex]   and   [tex]\sf y = 6\sqrt{2}[/tex]

step-by-step explanation:

given:

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(60)= \dfrac{y}{2\sqrt{6} }[/tex]

[tex]\sf tan(60)*{2\sqrt{6}= y[/tex]

[tex]\sf y = 6\sqrt{2}[/tex]

using cosine rule:

[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

[tex]\sf cos(60)= \dfrac{2\sqrt{6} }{x}[/tex]

[tex]\sf x= \dfrac{2\sqrt{6} }{cos(60)}[/tex]

[tex]\sf x = 4\sqrt{6}[/tex]

This can alternatively be written as 0.74 < p < 0.78

========================================================

Explanation:

n = 2500 = sample size

x = 1900 = number of successes = number who plan to vote

phat = x/n = 1900/2500 = 0.76

phat is the sample proportion that estimates the population proportion p.

At 95% confidence, the z critical value is roughly z = 1.96 which you use a table or calculator to find this value (or it's something you memorize).

E = margin of error

E = z*sqrt(phat*(1-phat)/n)

E = 1.96*sqrt(0.76*(1-0.76)/2500)

E = 0.016742 approximately

The lower bound (L) of the confidence interval is

L = phat - E

L = 0.76 - 0.016742

L = 0.743258

L = 0.74

The upper bound (U) of the confidence interval is

U = phat + E

U = 0.76 + 0.016742

U = 0.776742

U = 0.78

The values of L and U are approximate.

The confidence interval in the format (L, U) would be (0.74, 0.78) approximately.

Another way to write the confidence interval is to say 0.74 < p < 0.78 as it's in the form L < p < U; showing that we're 95% confident that p is somewhere between 0.74 and 0.78

In other words, we're 95% confident that between 74% and 78% of the population would plan to vote in the next presidential election.

Answer:

27

Step-by-step explanation:

4/15×100 =80/3 =26.6

Rounded to the nearest whole number is 27

Answer:

153.86 cm² and 43.96

Step-by-step explanation:

The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)

Answer:

18 years old

Step-by-step explanation:

20÷2=10

10+8=18 years old

Answer:

70.02ft≈70ft

Step-by-step explanation:

Here,

∠ABC=35°

BC=100ft

AC=?

Now,

[tex]tanB=\frac{AC}{BC} \\\\[/tex][tex]tanB=\frac{AC}{BC} \\\\tan35=\frac{AC}{100ft} \\\\0.7002=\frac{AC}{100ft} \\\\100ft*0.7002=AC\\\\AC=70.02ft[/tex]

Because tan=p/b

[tex]\\ \rm\rightarrowtail cot35=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{100}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.43}[/tex]

[tex]\\ \rm\rightarrowtail AC=69.93ft[/tex]

Answer:

the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years. A. $334,321.00 B. $43,068.93 C. $22,180.50 D. $41,814.50

The amount of the annuity due in 23 years with 8% of interest compounded semiannually is $62053.35.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually.

Then the amount of the annuity due will be

[tex]\rm A = 1800 (1 + 0.08)^{2\times 23}\\\\A = 1800 (1.08)^{46}\\\\A = 1800 \times 34.474\\\\A = 62053.35[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

Hopefully, I have read the problems right. The small writing is slightly blurry.

[1] Both 1 and 2 are equal to 70°

    Angle 1 and Angle 2 will be equal to each other because they are vertical angles.

    A straight line is 180°, so 180° - 110° = 70°

[2] Both 3 and 4 are equal to 99°

    Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.

    We can solve for the other two angles by putting them equal to each other since they are also vertical angles.

3x - 15° = 2x + 17°

3x = 2x + 32°

x = 32°

-

2x + 17°

2(32)° + 17°

64° + 17°

81°

    Also again, a straight line is 180°. 180° - 81° = 99°

[3] This one has too many subparts for Brainly.

    As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.

Answer:

f(x)=-4x+3

Step-by-step explanation:

Assuming you're talking about f(x)=mx+b. b is y intercept. So f(x)=mx+3. You substitute m for -4, as you said, and we get f(x)=-4x+3

[tex]\\ \rm\Rrightarrow \sqrt{36x^{21}y^{64}}=6y^8x^{10.5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[15]{7^{10}a^{25}b^{-35}}=7^{2/3}a^5b^{-7}{3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{648(3m-2n)^{64}}=648^{1/3}(3m-2n)^4[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[4]{(a^2-2a+1)^{29}(a^2-1)^7}=(a^2-a+1)^{29/4}(a^2-1)^{7/4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{3a^2b}{\sqrt[3]{18a^{21}b^{17}}}=\dfrac{3a^2b}{18^{1/3}a^7b^{17/3}}=\dfrac{3a^{-5}b^{-14/3}}{18^{1/3}}=\dfrac{3}{18^{1/3}a^5b^{14/3}}[/tex]

Answer:

A) t = 0.25 s

B) h = 25 m

Step-by-step explanation:

Given equation:  [tex]h(t) = -16t^2 + vt + s[/tex]

where:

A)  To find the value of t when h is at its maximum, differentiate the equation with respect to t:

[tex]\implies h'(t)=-32t+v[/tex]

Substitute given value of v:

[tex]\implies h'(t)=-32t+8[/tex]

Set to zero and solve for t:

[tex]\implies -32t+8=0[/tex]

[tex]\implies t=0.25 \textsf{s}[/tex]

B)  Substitute the found value for t into the equation and solve for h:

[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]

[tex]\implies h(0.25) = -1 + 2 + 24[/tex]

[tex]\implies h(0.25) =25 \textsf{ m}[/tex]

Answer:

x = 26

Step-by-step explanation:

180 = (5x-10) + (3x-18)

180 = 8x -28

180 + 28 = 8x

208 = 8x

x = 26

Answer:

4) 14.5

6) 11.4

Step-by-step explanation:

4) Area = 20 * 21/2 = 29 * x/2

so x = 20 * 21/29 = 14.5

6) Area = 22.4 * 13.2/2 = 26 * x/2

so x = 22.4 * 13.2/26 = 11.4

Answer:

p=3.5

Step-by-step explanation:

So minus 1/2 on both sides. p= 3.5

Answer:

820,000

Step-by-step explanation:

2 is lower than 5 so round down to 20

Pls Brainliest If Helps

Answer:

820,000

Step-by-step explanation:

The 10,000 digit is the 2 on the left.

All digits to the right of the left 2 become zero.

820,000

The first digit that is dropped is the right 2.

Since it is not 5 or more, the 2 that is kept does not go up to 3.

Answer: 820,000

Answer:

The dragonfly is 4.5 feet per second faster.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

solution

= (75*100)/250

= (7500)/250

= 7500/250

=30

Answer:

-3 is the slope

2 is the y intercept

Step-by-step explanation:

always

Step-by-step explanation:

Multiplication property of equality is when you multiply the same number on both sides of an equation, the equation will still hold true.

In order to have x by itself, you need to multiply by 6. The property states that you can multiply 6 on both sides and the equation will still hold true.

Answer:

If this is the problem

g(t) = t2 - 3t and h(t) = 3t - 4

g[ h(t) ] = (3t-4)2 - 3 (3t-4)

g[ h(t) ] = 9t2 - 24t + 16 - 9t + 12

g[ h(t) ] = 9t2 - 33t + 28

Answer:

C. Substitution

But gives you infinity solitions

Solving steps:

Step: Solvey=1/2

x+6for y:

y=1/2x+6

Step: Substitute

1/2

x+6foryin−2x+4y=24:

−2x+4y=24

−2x+4(1/2x+6)=24

24=24(Simplify both sides of the equation)

24+−24=24+−24(Add -24 to both sides)

0=0

Answer:

53.38

Step-by-step explanation:

First, find the circumference of the whole circle.

C=2pir

C=2(3.14)(17)

C=106.76

Then, divide by 2 because a semi-circle is half of a circle.

106.76/2 = 53.38

Therefore, the circumference, or the perimeter, of the semicircle is 53.38

Answer:

Answer is 300

Step-by-step explanation:

because 51.25x6=307.5 and the closest estimate is 300.

Answer:

150.66

Step-by-step explanation:

Answer: D

Step-by-step explanation:

You need to prove that the diagonals bisect each other to prove it's a parallelogram.

Now, to prove it's a square, you need to prove it's both a rectangle and a rhombus.