A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account

Answers

Answer 1

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)


Related Questions

PLEASE HELP ME NOW!!

Answers

Answer:

Twice a number increased by five - 2x + 5

Five decreased by twice a number- 5 - 2x

Twice the difference of a number and five- 2(x - 5)

Twice the sum of a number and five= 2(x + 5)

Five subtracted from twice a number= 2x - 5

Twice a number, less five= 2x - 5

Step-by-step explanation:

a. Twice a number increased by 5

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2x + 5}}}}}[/tex]

b. Five decreased by twice a number

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2x - 5 }}}}}[/tex]

c. twice the difference of a number and five.

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2(x - 5)}}}}}[/tex]

d. Twice the sum of a number and five

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2(x + 5)}}}}}[/tex]

e. five subtracted from twice a number

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{ 2x - 5}}}}}[/tex]

f. twice a number, less five

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{5 - 2x}}}}}[/tex]

Hope it helps!!

Sam is framing a closet under a stairway. The stairway is 20 ft 6 in. long, and its angle of elevation is 31º. Find the depth of the closet to the nearest inch.

Answers

Answer:

The depth is 127 inches.

Step-by-step explanation:

The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.

But,

12 inches = 1 foot

20 ft 6 in = 20 + [tex](\frac{6}{12} )[/tex]

               = 20.5 feet

So that applying the appropriate trigonometric function, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin 31º = [tex]\frac{d}{20.5}[/tex]

d = 20.5 x Sin 31º

   = 20.5 x 0.5150

d = 10.5575

d ≅ 11 feet

Therefore,

d = 10.5575 feet = (10.5575 x 12) inches

  = 126.69 inches

The depth is 127 inches.

Plz help I’ll give 20 points

Answers

Answer: D

Step-by-step explanation: y=2 so 2+2=4+1=5

I need help somebody give me a answer?

Answers

The answer is B because the domain is the x values and range is the y values . It just puts them from least to greatest .

Domain = x
Range = y

how do you tell if an equation is extraneous or not extraneous

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Answer:

An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .

determine whether the claims are true or false

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Answer:

true then false is the anwer

how do you write f(x)=x2+16x−7
in vertex form

Answers

Answer:

y=(x-8)^2-71

i believe thats the correct answer

At a rap concert, the ratio of the number of boys to the number of girls is 9: 5. If there
are 320 more boys than girls, how many boys and how many girls are at the concert?

Answers

Answer:

X=80

Step-by-step explanation:

9x=320+5x

9x-5x=320

4x=320

X=320/4

X=80

So the number of girls =5×80

=400.

"four times a number is less than or equal to four”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• Your work solving the inequality
• The solution graphed on a number line
• The solution in set notation
• The solution in interval notation

Answers

Answer:

if you need anything else just comment

Step-by-step explanation:

4k <_ 4 = numerical form

4k/4 <_ 4/4

k <_ 1 = work to solve

on number line there is 0,1,2. 1 has a circle that is filled in and arrow pointing towards 0. = graphed on number line

set notation = {k(vertical bar)k<_1}

interval notation = (-infinity, 1]

Help me with this I will give you all my points???​

Answers

Answer:

1. Yes 2. No 3. Yes 4. No

Step-by-step explanation: 1 is a function because none of the x values repeat, 2 isn't a function because in the x coordinates, -2 repeats, 3 is a function because if you were to draw a (vertical) line through each point, none of them have two points on one line, 4 is a function because none of the x coordinates point to more than one y coordinate

A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle

Answers

Answer:

No

Step-by-step explanation:

Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse

From the Pythagorean theorem 

8^2 = 5^2 + 7^2

64 = 25 + 49

64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths

Sales for the Men’s Suit department last year were $920,000. The manager for the department plans an increase of 9.5% for this year. What is this year’s projected sales volume?

Answers

Answer:

The projected sales is $1007400

Step-by-step explanation:

Given

[tex]Sales = \$920000[/tex]

[tex]Increment = 9.5\%[/tex]

Required

Determine the new projected sales

Increment is calculated using:

[tex]Increment = Initial\ Value(1 + Increment\%)[/tex]

In this case:

[tex]Projected\ Sales = Sales(1 + Increment\%)[/tex]

[tex]Projected\ Sales = 920000(1 + 9.5\%)[/tex]

Convert % to decimal

[tex]Projected\ Sales = 920000(1 + 0.095)[/tex]

[tex]Projected\ Sales = 920000*1.095[/tex]

[tex]Projected\ Sales = 1007400[/tex]

Hence, the projected sales is $1007400

20 POINTS N BRAINLIEST 16. Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.

Answers

Answer:

a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars

Step-by-step explanation:

a) Alun's earn equation is

E=0.05t+34

b) when t=400, then

E=0.05(400)+34

E=20+34

E=54

c) when E=64, then

64=0.05t+34

hence

0.05t=64-34

0.05t=30

[tex]t=\frac{30}{0.05}[/tex]

t=600

I thought of a number. I subtracted 15 from my number, then divided the result by 5, and I got 9. What is my number?

Answers

Answer:

The answer is 60

Step-by-step explanation:

all you have to do is reverse the operation, you have to do 9 x 5 then add 15 to that result and you will get the answer :)

hope this helps!

Jen buys 4 tires for $272 .Each tire was the same price .what is the cost of 1 tire

Answers

Answer:

each tire was 68 dollars

Step-by-step explanation:

hope this helps :)

The answer is 68 because 68 x 4 is 272 .

What is unit rate of 1/3 and 1 1/2​

Answers

The correct answer is 12.5

Use the distributive property to remove the parentheses.
10(u-2)

Answers

Answer:

After using distributive property to remove the parentheses [tex]10(u-2)[/tex]  we get [tex]10u-20[/tex]

Step-by-step explanation:

We need to use distributive property to remove the parentheses 10(u-2)

According to distributive property of multiplication over subtraction: [tex]a(b-c)=ab-ac[/tex]

Using the above distributive property to solve the question. Multiply 10 with terms inside the bracket and solving:

[tex]10(u-2)\\=10u-10*2\\=10u-20[/tex]

So, After using distributive property to remove the parentheses [tex]10(u-2)[/tex]  we get [tex]10u-20[/tex]

You have a lake that is half shaded and half sunny. If you want to run an experiment and don't want to quantify the effects of sunlight but don't want it to effect you results, you would set up your study as a:_______a. CRDb. Block Design

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

It Central Registry Depository for certain firms and persons active throughout the U.S. stock market is the registry operated by Finance Sector Regulation Agency since 2007. It is used for storage and maintenance with licensed shares and brokerage firms and personal information, that's why CRD is correct.

What is <2 if <4 is 35

Answers

Answer:

2 is 17.5

Step-by-step explanation:

bc the half of 4 is 2 since 4 is 35 we have to find the half of 35 and how we do that is by dividing it by 2.

35%2=17.5 so 2 is equal 17.5 so <2 is 17.5

Water in a pipe flows at a rate of 10 gallons per minute. What is the rate in liters per second?

Answers

Answer:

0.630901 liters per second

Step-by-step explanation:

Hope this helped!

0.63 per second! have a great day :)

Y+2=-3(x-4) what’s the missing value? (_,-2)

Answers

Answer:

12

Step-by-step explanation:

Distrubute (y +2 = -3x + 12)

subtract 2 on both sides ( y +2 = -3x + 12 )

                                              -2             -2

conbine like terms (y = -3x + 10)

Answer:

4

Step-by-step explanation:

it worked, it is not 12

Scale is 1cm=8km
Hatboro and Smithville are 24cm apart on the map. What is the actual distance between the 2 cities

Answers

Answer:

192 km

Step-by-step explanation:

the same ratios apply to the situation

if 1 cm is 8 km, 24 cm could be calculated using ratios

1/8 = 24/x

12*PLEASE ANSWER FAST!!!!!!!!

Answers

Answer: 1 8/12 - 9/12

Explanation:
answer it 1 8/12 hope it helped

PLEASE HELPPP ME YALLL!!!!


Write an equation in point-slope form for the line that passes through each point with the given slope.


(2, 3), m = –4

Answers

Y-3=-4(x-2) hope this helps

True or false: When a figure on a coordinate grid is translated down and to the right, the vertex with the largest y-coordinate in the pre-image will correspond to the vertex with the largest y-coordinate in the image.(1 point)

Answers

Answer:

True

Step-by-step explanation:

Translation down and to the right doesn't change the dimensions of the original figure.

This will change coordinates of each vertex but the highest coordinates of the pre-image and image will correspond to each other.

A coin is tossed three times. Use this information to solve these problems.1) List the sample space.2) Find the probability of tossing heads exactly twice.3) Find the probability of tossing tails at least twice.

Answers

Answer:

1) sample space = {HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}

2) pr(tossing heads exactly twice) = [tex]\frac{3}{8}[/tex]

3) pr(tossing tails at least twice) = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

In tossing a coin three times, the sample space is the possible outcomes for the number of toss.

So that for the question,

1) The sample space = {HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}

The total number of possible outcome is 8.

2) pr(tossing heads exactly twice) = [tex]\frac{numner of outcome with exactly two heads}{total number of outcome}[/tex]

                                                            = [tex]\frac{3}{8}[/tex]

3) pr(tossing tails at least twice) = [tex]\frac{number of outcome with at least two tails}{total number of outcome}[/tex]

                                                     = [tex]\frac{4}{8}[/tex]

                                                     = [tex]\frac{1}{2}[/tex]

Please help

Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.

Answers

Answer:

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

Step-by-step explanation:

We are going to solve the questions one by one and then write the quotients with every question.

In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.

First Expression:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]

When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.

[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]

Second Expression:

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]

Removing the division symbol

[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]

Third Expression:

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]

Removing the division symbol

[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]

Fourth Expression:

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]

Removing the division symbol

[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]

Hence,

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

a car that travels 308 miles on 11 gallons of gasoline

Answers

28 miles per gallon of gasoline
28 gallons per mile!!!!!!!

Compute |1-3+5-7+...+13-15|

Answers

Answer:

8

Step-by-step explanation:

There are a couple different ways you can solve this, but this is generally the quickest way.

Identify a pattern in the problem. We can see that [tex]1-3=-2[/tex],  [tex]5-7=-2[/tex], and so on. Subtracting every two odd numbers (without repeating any numbers) in that problem will always give us the same answer: -2.

So, we see how many pairs of odd numbers there are.

1 and 3,  5 and 7,  9 and 11,  13 and 15. We have four pairs of odd numbers. We can just multiply -2 by 4, which leaves us with an answer of -8.

Finally, since this is also an absolute value equation, the answer will be positive, so the final answer is 8.

x=3, y-x=-3
what is the value of y
a. y=4
b. y=6
c. y=5
d. y=10

Answers

Y=6. 6-3=3 hopes this helps :)
Y = 0

Explanation:
x = 3; y-x=-3
so you plug 3 in as x
y-3=-3 and then add three to both sides and Y=0

if your equation were x-y=-3 then your y value would be equal to 6
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The table provides data about the frequency of traits in a population over several generations,Based on this data, which trait provided individuals with an advantage in response to anenvironmental change that happened between the fifth and tenth generations? *Trait1st Generation5th Generation10thGenerationA25%3%10%B25%20%70%25%30%12%D25%40%15% a slope 5 and passes through the point (3, -7) Based on the images, what inference can be made about the similarities of the Aztec and Inca empires? FRQ 1Amusement parks sell day passes and season passes. A day pass to Fun World costs $41 and provides admittance to the amusement park for one day. A season pass to Fun World costs $100 and provides unlimited admittance to the amusement park all season.The manager of Fun World would likely be able to understand how frequently patrons visit the park. At the end of the season he selects two separate random samples: one of 30 patrons that did not buy a season pass and one of 30 patrons that did buy a season pass. The parallel boxplots show the distribution of number of visits per patron for the most recent season for these two samples.A) Write a few sentences comparing the distributions of number of visits for the sample of patrons that did and did not buy a season pass.B) The mean number of visits per patron among those that did not buy a season pass is 1.7 visits per patron. The mean number of visits per patron among those that did buy a season pass is 2.967 visits per patron. Are these values parameters or statistics? Explain.C) The number of visits for the 30 patrons that bought season passes are: 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 7 9 10What proportion of these patrons would have paid less if they bought day passes rather than a season pass? 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A How audience interaction can improve the impact of an advertisement B. Why advertisers must reach beyond their target groups C. Why demographic studies of potential customers are important D. How advertining campaigns use different forms of media (1) The Mayas and the Aztecs grew "chocolate" trees neartheir homes. (2) The seeds from the trees were really cool.(3) They were used in place of money. (4) They were alsoused to make a chocolate drink.How should the underlined words be written so that sentence 2 has the righttone?O A. Were totally usefulB. Had great valueC. Had a ton of usesD. Were way important 3. LOOK FOR THE KEY WORD!A music recording company recently released 49 nd Ds. Ofthe new CDs, 2/7 are by country artist. How manycountry CDs were released by the music company?A. 14 CDsC. 63 CDsB. 35 CDsD. 18 CDSBOD How many groups of 3/4's are in 9 Suppose that Italy and Austria both produce fish and shoes. Italy's opportunity cost of producing a pair of shoes is 5 pounds of fish while Austria's opportunity cost of producing a pair of shoes is 10 pounds of fish. By comparing the opportunity cost of producing shoes in the two countries, you can tell thatItaly has a comparative advantage in the production of shoes andAustria has a comparative advantage in the production of fish. Suppose that Italy and Austria consider trading shoes and fish with each other. Italy can gain from specialization and trade as long as it receives more than5 pounds of fish for each pair of shoes it exports to Austria. Similarly, Austria can gain from trade as long as it receives more than1/10 pair of shoes for each pound of fish it exports to Italy. 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