Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is given by the following
function
A(w)= 700 - 17w
Answer the following questions.
(a) How much money does Donna still need after 6 weeks?
s
(b) If Donna still needs $411, how many weeks has she been saving?

Answers

Answer 1

Answer:

Part A:

She would need $598 after 6 weeks of collecting money.

Part B:

She would have waited 17 weeks to have $411 left.

Step-by-step explanation:

Part A:

Replace w in 700 - 17w with 700 - 17(6).

This would give you $598 left until $700 has been reached.

Part B:

Replace w in 700 - 17w with 700 - 17(17).

This would give you $411 left until $700 has been reached.


Related Questions

Find the circumference of each circle with a diameter of 20 feet. use 3.14 as an estimate for pi

Answers

Answer:

62.8ft

Step-by-step explanation:

circumference= pie x diameter

pie=3.14

diameter=20ft

c=3.14 x 20ft

=62.8ft

A building which is 30 feet tall casts a 5 foot shadow. What is the angle of elevation?
O a. 0.110
O b. 80.54
O c. 80.41
O d. None of the above

Answers

Answer:

80.54

Step-by-step explanation:

height- 30

base- 5

tan-1(30/5)

tan-1(6)

= 80.54

The voltage, V, in an electric circuit is held constant, the current I, is inversely proportional to the resistance, R. If the current is 120mA (milliampere) when resistance is 5 ohms, find the current when the ersistance is 15 ohms.​

Answers

Answer:

70 amps

Step-by-step explanation:

The current I is inversely proportional to the resistance R

I=k/R   (k is the constant of proportionality)

A)   I=210 amperes

     R=4 ohms

I=k/R

k=I×R

k=210×4=840

B)    R=12 ohms

     k=840

    I=k/R

   I=840/12=70 amperes

The current will be 40 mA when the resistance is 15 ohms.​

What is Ohms law?

Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.

Ohms law formula is -

V=IR, Where

Voltage is V and is measured in Volts,

The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.

Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,

120 mA = 0.12 A

Therefore,

V = IR

V = 0.12 × 5

V = 0.6 volts

Now, when the resistance is 15 ohms, the current will be =

0.6 = I × 15

I = 0.6 / 15

I = 0.04 A

I = 40 mA

Hence, the current will be 40 mA when the resistance is 15 ohms.​

Learn more about Ohms law, click;

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#SPJ2

Find the slope of the line that passes through (-1, -3) and (-2,2).

Answers

Answer:

-5

Step-by-step explanation:

Answer:

slope = -5

Step-by-step explanation:

m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)

so plug them into this equation.

2+3/-2+1 = 5/-1 = -5.

the slope is -5

It says: a water tank of a pyramid has a rectangular base with dimensions of 10 feet by 15‘ the height of the Rectangular pyramid is 12 feet water fills half of the volume of water tank how many more cubic feet of water is needed to finish the water tank: PLEASE HELP THIS GONNA HELP ME PASS TO THE NEXT GRADE

Answers

Answer:

600

Step-by-step explanation:

V=(LxWxH)/3

Multiply 10x15x12/3 and get 600

Can somebody please help me out please my grads are bad

Answers

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?

Answers

26 because 10 is less than 26 and so is 24

Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?

Answers

Answer:

Step-by-step explanation:

k

plz help i will give brainliest and i will report you if you post a link

Answers

11640 because you need to do 3% of 12000 and the subtract that number from 12000

Answer:

$11,640

Step-by-step explanation:


Please helpppppppppp i will mark brainlist

Answers

Answer:

10.4 cm

Step-by-step explanation:

Since the area is half of the base multiplied by the height A = 1/2 * b * h, the height can be found from h = 2A/b

h = (2 * 83.72 )/16.1 = 10.4

Answer:26.02

Step-by-step explanation:83.72-(16.1x2)/2=26.02 (sry I know it’s confusing but that’s how I do math lol) brainlyest plz plz I need it for my rank

What is the place value of 9 in the number 8.0231497?

Answers

Answer:

Tens

Step-by-step explanation:

it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.

Please help
[tex]1. \: \sqrt{a + 2 = 4 } \\ \\ 2. \sqrt{2m - 8 - 4 = 2} \\ \\ 3. \sqrt{4 \times + 12 \: + 7 = 2} \\ \\ 4. \ \sqrt{17 - 4m = m + 1} \\ \\ 5. \sqrt{k - 1 = \sqrt{k - 5 } } \\ \\ 6. \sqrt{5n + 1 \: - 1 = 3 \sqrt{n} } \\ \\ 7. \sqrt[3]{\times = 3 } \\ \\ 8. \sqrt[3]{ \times - 1 = 4} [/tex]

Answers

Answer:

1. a = 14

2. m = 8

3. N/A

4. m = 2

5. N/A

6. n = 0, [tex]\frac{9}{25}[/tex], 0.36

7. x = 27

8. x = 65

Step-by-step explanation:

remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a proportional relationship because there was no constant of proportionality there was not a single nymber that he could multiply the time by to get the distance

Answers

Answer:

remy would be correct

Step-by-step explanation:

If a normal 6 sided die, with each side numbered 1 through 6, is rolled. What is the probability that the number on top is greater than 3?
Select one:

1/6

1/2

1/3

2/3

Answers

Answer: the second option (1/2)

Step-by-step explanation:

numbers greater than 3: 4, 5, and 6

3 numbers

so 3/6 or 1/2

1/2 or 50% so the second option

What are the zeros of the function f(x) = (x + 5)(2x-3)?
O A. x=-5 and x = 8
O B. x = -5 and x = 4
O C. x = 5 and x = -8
O D. x = 5 and x = -4

Answers

The answer would be C done this yesterday

Helppppoppppppppp!!!!!

Answers

Answer:

x=64

Step-by-step explanation:

[tex]x^{2} =A\\x^{2} = 4,096[/tex]

Answer:

Hello! answer: 64

Step-by-step explanation:

Each side length of the square is the same therefore we just have to find the square root of 4096 64 × 64 = 4096 therefore the side length of the square is 64 HOPE THAT HELPS!

Please help me I’m trying to pass and I don’t know what to do

Answers

Answer:

1/2 of an answer is zero answer.

Step-by-step explanation:

yeah :)

Answer:

- 3

Step-by-step explanation:

[tex]f(x) = \sqrt{x + 1} \\ plug \: x = 0 \\\therefore f(0) = \sqrt{0 + 1} \\\therefore f(0) = \sqrt{1} \\ \therefore f(0) =1 \\ \\ g(x) = 2x - 5 \\ plug \: x = f(0) \\ \therefore g( f(0)) = 2 f(0)- 5 \\ \therefore g( f(0)) = 2 (1) - 5 \\\therefore g( f(0)) = 2 - 5 \\ \\ \huge \red {g( f(0)) = \boxed {- 3} }[/tex]

lVanessa was out shopping with her friends. She had $38
to spend today. She decided to buy herself a pair of sunglasses for $27
and some hair bands that were $2 each. How many hair bands can she
buy?

Answers

Answer

5 hair bands

Step-by-step explanation:

$38-$27(Sunglasses)=11

11/2=5.5

you can't buy 5.5 hairbands so you round the number to the nearest whole number.

so the answer is 5 hairbands.

Suppose you have a bag containing 5 white marbles, 8 black marbles, 4 red marbles, and 9 green marbles. You draw a
single marble, record the color, and then place the marble back into the bag. You do this 10 times in total. After the final
time, you count your observations and see that you drew a black marble 3 times. Using what you know about theoretical
probabilities, was this likely to occur? Explain.

Answers

Answer:Yes

Step-by-step explanation:Because if u use the antropy system you'll know i hope i helped

Mr. Ortiz's car drives 12 miles in 20 minutes. Use a model to find out how many miles his car drives in 1 HOUR.

Answers

Answer:

36 miles

Step-by-step explanation:

Since there are 60 minutes in a hour, you can see that 20 minutes is a third of that time. To find the answer, you multiply the values by 3 to equal on hour. 20x3 = 60 and 12x3 = 36, meaning he drove 36 miles in a hour.

What is the equation to solve this problem?

Answers

 

[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]

 

 

graph the function y less than or equal to x^2-3x-1

Answers

Answer: y <= x^(2) - 3x - 1

How to: Graph the inequality by finding the boundary line, then shading the appropriate area.

Have a great day and stay safe !

Similar Triangles

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 3/4 = 9/12 = 3/4
b. 3/9 = 4/12 = 1/3
c. 3/12 = 4/9 = 1/4
d. 4/3 = 12/9 = 4/3

Please select the best answer from the choices provided

Answers

Answer:

B. 3/9 = 4/12 = 1/3

Step-by-step explanation:

I calculated it logically

What is the perimeter of this shape? Use numbers only. *

Answers

Answer:

13

Step-by-step explanation:

The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:

4 + 4 + 2.5 + 2.5 = 13.

So the perimeter of the shape is 13.

Answer:

13 m

Step-by-step explanation:

2.5 + 4 + 2.5 + 4

2.5 + 2.5 + 8

5 + 8

13

HELP ME PLEASEEEEEEEEEEEE

Answers

6,240 I think ??
If you need help let me know

Answer:

120

Step-by-step explanation:

multiply 10 times 24

then divide 240 by 2

Help please !!!!!!!!!!!!!!!!!!

Answers

Answer:

n = 59

Step-by-step explanation:

There's definitely a better way, i just did math randomly but here goes:

First i squared both sides. which gets you:

[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]

Cleaning this up gives you:

[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]

Now move everything to the other side so we can square this equation again

[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]

Divide both sides by -2

[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]

square again

[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]

subtract n^2 from both sides, add 6n, and add 50

[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]

Put this back into the equation and you get a correct answer!

sqrt(59 + 5) = sqrt(64) = 8

sqrt(59-10) = sqrt(49) = 7

8 - 7 = 1

The hotel room tax in Festivity City is calculated using the function
7(x) = 0.06x + 4.5
where x is the cost in dollars of the room and 7(x) is the tax in dollars.
What is the tax on a room that costs $120?
HELP ASAP ILL GIVE U BEST ANWER THING

Answers

Answer: 11.70

Step-by-step explanation:

Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7

Answers

use simultaneous equations:
2x + 7 = x^2 + 8x - 9
7 = x^2 + 6x - 9
16 = x^2 + 6x
+ or - 4 = 7x
answer is
-4/7 or 4/7

Simplify 14 divide by 2+5 x 4

Answers

Answer:

27

Step-by-step explanation:

14/2+5 x 4

7+20

27

Answer:

27

Step-by-step explanation:

14 divided by 2 + 5 x 4

5 x 4 first (pemdas)

5 x 4 is 20

14 / 2 = 7

7 + 20 = 27

if you don’t know pemdas it’s:

p arenthases

e xponents

m ultiply

d ivide

a dd

s ubtract

According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,060. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $495. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,575 per year on reading and entertainment

Answers

Answer:

The answer is [tex]15.00[/tex] %

Step-by-step explanation:

Let's start defining the random variable. We have the following variable :

[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''

We assume that [tex]X[/tex] follows the normal distribution. We can write :

[tex]X[/tex] ~ N ( μ , σ )

Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :

[tex]X[/tex] ~ [tex]N(2060;495)[/tex]

In order to answer the question, we first must calculate the probability :

[tex]P(X>2575)[/tex] (I)

We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :

[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒

[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]

Then,

[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)

Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]

If we replace this value in (II) ⇒

[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]

Using percent we obtain [tex]15.00[/tex] %

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