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Dovator [93]
3 years ago
13

Lilly wants to determine the association between her deposits and her savings account balance. She modeled the equation y = 75x

+ 100
for the line of best fit. The independent variable, x, is deposits and the dependent variable, y, is account balance. What does the y
intercept mean in this context?
A)
The starting savings account balance is $75.
B)
The starting savings account balance is $100.
The account balance increases by an additional $75 for
each deposit.
D)
The account balance increases by an additional $100 for
each deposit.
Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

D) The account balance increases by an additional $100 for each deposit

Step-by-step explanation:

The y intercept will always be the number being added or subtracted from the independent variable.

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Em quantos meses um capital de R$4.000,00 aplicado a uma taxa de juros simples de 29,3% ao ano, renderá de juros o valor de R$58
Akimi4 [234]

Responda:

6 meses

10 meses

Explicação passo a passo:

Dado que:

Principal = 4000

Juros = 586

Taxa (r) = 29,3% ao ano = 0,293

Juros simples = principal * taxa * tempo

586 = 4000 * 0,293 * t

586 = 1172t

t = 586/1172

t = 0,5 anos

Tempo = (0,5 * 12) = 6 meses

B.)

principal = $ 90909,09

Montante final = 100.000

Taxa (r) = 12% = 0,12

Usando a fórmula:

Quantidade final = p (1 + rt)

Taxa = r; t = tempo

100000 = 90909,09 (1 + 0,12t)

100000 = 90909,09 + 10909,0908t

100000 - 90909,09 = 10909,0908t

9090,91 = 10909,0908t

t = 9090,91 / 10909,0908

t = 0,8333334

Número de meses:

0,8333334 * 12

= 10 meses

4 0
3 years ago
Nine fewer than half a number is five more than four times the number define a variable rate in equation and solve to find the n
Tpy6a [65]
X - 9 = 4x + 5
-x -x
-9 = 3x + 5
-5 -5
-14 = 3x
divide.
4.66 = x
6 0
4 years ago
PLEASE HELP URGENT<br><br> Given \tan \theta =0.6, find the value of b.
xxTIMURxx [149]

Answer:

b=8.5cm

Step-by-step explanation:

tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6

To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.

0.6=5.1/adj

to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)

so then you have

adj=5.1/0.6

adj=8.5cm

(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!

6 0
2 years ago
Sarah scored an 8/10 on the spelling test and Jonathan scored 75% of Sarah’s score on the spelling test. What is the score of Jo
Fudgin [204]

\frac{3}{5} is the score of Jonathan.

<h3 /><h3>What is percentage?</h3>

Percentage, which may also be referred to as percent, is a fraction of a number out of 100%. Percentage means "per 100" and denotes a piece of a total amount.

To calculate the percentage , Use the percentage formula:

X * \frac{Percentage}{100} = Y

According to the question:

Sarah scored on the spelling test  = \frac{8}{10}

Jonathan scored  = 75%

By formulating both the values;

\frac{8}{10}  * \frac{75}{100}

= \frac{3}{5}

Therefore , \frac{3}{5} is the score of Jonathan.

Learn more about percentage here:

brainly.com/question/13450942

#SPJ1

8 0
2 years ago
Problem of the Week (POW) for May 1 - May 8
kipiarov [429]

Answer:

Becky saves $4.86 by choosing to buy 18 bulbs in the 3 package sets  

Step-by-step explanation:

Becky has 2 options here. She can buy 3 for $4.20 or 2 for $3.34. We can easily determine the prices because both 2 & 3 are factors of 18.

18 / 3 = 6, so multiply 6 * 4.20 to see that 18 bulbs will cost $25.20

18 / 2 = 9, so multiply 9 * 3.34 to see that 18 bulbs will cost $30.06

Now, we can see that buying sets of 3 is cheaper, we need to determine how much we are saving by choosing the cheaper option. (Use subtraction)

$30.06 - $25.20 = $4.86

Becky saves $4.86 by choosing to buy 18 bulbs in the 3 package sets  

4 0
3 years ago
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