1. Clara opens a savings account with $500 and deposits $75 each month thereafter. Write a
linear function that models the monthly balance.

Answers

Answer 1

Answer:

y = (75x + 500)

Step-by-step explanation:

To find the linear model,

Let y = monthly balance of the savings

x = months of the savings

With savings account with $500 which is fixed

deposits = $75

Then the model is

y = (75x + 500)


Related Questions

a 20 ounce box of cereal costs $3.60. what is the unit rate

Answers

$3.6 divided by 20 ounces equals $0.18 per ounce.

Please help
Round your answer to the nearest hundredth

Answers

Answer:

∠ B ≈ 66.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )

help I will give brainiest​

Answers

8^2 + 15^2 = 289.

square root of 289 = 17

CORRECT

Answer:

itis because the triangle has a 90° angle thus making it a right triangle

for a right triangle if a = 11in , c = 15 in find b

Quickkk please help

Answers

The answer to this problem is 2√26

15^2-11^2 = 104
sq root 104

Answer:

[tex] \huge\boxed{ \boxed{ \sf{2 \sqrt{26} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:Pythagoras theoremPEMDAStips and formulas:[tex]\sf Pythagoras\: theorem:\\ \sf a²+b²=c²[/tex]given:a=11 inc=15 inlet's solve:

[tex] \sf step - 1 : make \: b \: the \: subject \: of \: the \: equation[/tex]

[tex] \sf \: shift \: {a}^{2} \: to \: the\: left \: hand \: side \: and \: change \: its \: sign : \\ \tt {b}^{2} = {c}^{2} - {a}^{2} [/tex][tex] \sf squre \: root \: both \: sides : \\ \tt\sqrt{ {b}^{2} } = \sqrt{ {c}^{2} - {a}^{2} } \\ \tt \: b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]

[tex] \sf step - 2 : sustitute \:the \: value \: of \: c \: and \: a \: then \: simplify[/tex]

[tex] \sf substitute \: the \: given \: value \: of \: c \: and \: b : \\ \tt b = \sqrt{ {15}^{2} - {11}^{2} } [/tex][tex] \sf simplify \: squres : \\ \tt b = \sqrt{225 - 121} [/tex][tex] \sf substract : \\ \tt b = \sqrt{104} [/tex][tex] \sf simplify \: redica l : \\ \tt b = \sqrt{ {2}^{2} \times 26 } \\ \tt \therefore b = 2 \sqrt{26} [/tex]

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 16, negative 1, 2, negative 1, negative 4, negative 1.

Analyze the table of values for the continuous function, f(x), to complete the statements.


A local maximum occurs over the interval

A.) (–3, –1)

B.) (–2, –1)

C.) (–2, 0)

A local minimum occurs over the interval

A.) (–2, 0)

B.) (0, 1)

C.) (0, 2)

Please help im so dum8

Answers

The answer is the first option which is A

Answer: local maximum is (-2,0)

local minimum is (0,2)

Solve the proportion for X

Answers

Answer:

x = 27

Step-by-step explanation:

Triangle ABC was dilated around the origin by a scale factor of 2. The
vertices of the triangle are A' (0,6), B' (4,0) and C' (6,2). What are the
coordinates of the vertices of the original triangle?

Answers

Answer:

8,4

Step-by-step explanation:

Yes that is right thanks for the points

Please help me out! Last question of the day 4 me!!!

Answers

Answer:

1/3

Step-by-step explanation:

its not 3 bc from a to b its getting smaller

Solve (x + 3 < 5) U (x - 7 > 1).


{ x | 2 < x < 8}

O/

{ x | x < 2 or x > 8}

Answers

Answer:

{ x | x < 2 or x > 8}

Step-by-step explanation:

Given the expression

(x + 3 < 5) U (x - 7 > 1).

Solve x+3 < 5

Subtract 3 from both sides

x+3 - 3 < 5-3

x < 2

For x - 7 > 1

Add 7 to both sides

x-7+7 > 1 + 7

x > 8

Hence the union of both is { x | x < 2 or x > 8}

Help please
Brainiest answer to whoever is first

Answers

Answer:

84 inches squared

Step-by-step explanation:

perimeter = 6+7+5+10+15

= 43

Graph the equation y=2x. Fill in the missing values in
the table.

Answers

Answer:

in this order (0,0) (1,2) (2,4) (3,6)

Step-by-step explanation:

pls mark brainliest

I can't see pictures, but to graph y=2x, you have to make 2x into slope form.

Just write 2 as a fraction, or 2/1. 2 is the rise, and 1 is the run. So start at the origin, or (0,0), and go up 2 units, then 1 unit right. So you start at (0,0), then now you should be at (1,2). Repeat the process to make a straight line.

---

hope it helps

f(x) = -4x + 1; Find x = -1

Answers

4+1
Equals
5
Hehehehe

Which of the following is a true statement?

Answers

Answer:

The first one is TRUE.

You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2

3/8 < 1/2
1/2 is bigger becuase let’s say u have a pizza and u don’t want small pieces of pizza we want a lot so we would go for 1/2

4.2.31
Richard and Teo have a combined age of 50. Richard is 14 years older than twice Teo's age. How old are Richard and Teo?

Answers

Answer:

4.2.31

Richard and Teo have a combined age of 50. Richard is 14 years older than twice Teo's age. How old are Richard and Teo?

aswer..RICHARD IS 20YEARS ODL

AND TEO IS 9YEARS OLD

A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?

Answers

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because if you divide the price by how many are sold it comes out to 14.75.

Answer: A

Step-by-step explanation:

1 book cost $14.75

2 books cost $29.50

3 books cost $44.25

4 books cost $59.00

5 books cost $73.75

6 books cost $88.50

7 books cost $103.25

Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?

Answers

Answer:

Any choice that has a slope of -1/2

Step-by-step explanation:

-2x - 4y = 3

-4y = 2x + 3

4y = -2x - 3

y = -1/2x -3/4

y = mx + b

m = slope

What is the answer to this?

Answers

Answer:

f(-2)=3(-2)-4

=f(-2)=-10

A pack of gum cost $0.80. If the tax is an additional 5%, what is the total INCLUDING
tax?

Answers

Answer:

$0.84 I think is the answer

need help by thx iejhbeeje​

Answers

Answer:

Step-by-step explanation:bhj

Answer:

$14.94

Step-by-step explanation:

$40-$10.02= $29.98

2÷29.98= $14.94

Does anybody understand the 3rd problem?

Answers

(3x+2)+(4x+1)+(2x+1)=180
9x+4=180
9x = 45
X= 5

Answer:

Step-by-step explanation:

if you add all the angles in a triangle together, its 180 degrees.

so, (3x+2)+(4x+1)+(2x+1) = 180

we can combine like terms so 9x+4=180

                                                    9x=176

                                                       x=19.6 degrees

now plug the x into each angle and that's them

please help !!!! i’ll give brainliest !!!!!

Answers

Answer:

approx. 56.72 square inches

Step-by-step explanation:

A= 2πrh + 2πr2 = 2·π·1.15·6.7+2·π·1.152 ≈ 56.72146

#1 Describe the translation (slides) that
maps ABCD onto A'B'C'D'?

Answers

Answer: B

Step-by-step explanation: left 6, down 5

Maria earns $603.75 for 35 hours of work. What is her rate of pay per hour?

I legit forgot how to divide for some reason Can someone drop down the work for this question?

Answers

Answer:

17.25

Step-by-step explanation:

divide the pay by hours worked

Translate this sentence into an equation.
75 is the difference of Vanessa's age and 11.
Use the variable v to represent Vanessa's age.

Answers

V - 11 = 75 (I’m pretty sure)

A coin is tossed 7 times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

Answer:

0.0078125

Step-by-step explanation:

Probability of tail, p = 0. 5

Probability of getting all tails from 7 tosses :

P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail)

0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.0078125

We could also use the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - r)

n = 7 ; x = 7, p = 0.5,

P(x = 7) = 7C7 * 0.5^7 * 0.5^0 = 0.0078125

Find the 14th term of the geometric sequence 2, 4, 8,

Answers

Answer:

16,384

Step-by-step explanation:

The pattern is times 2

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384

The 14th term is 16384

The required 14th term of the given geometric sequence 2, 4, 8, is 16384.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The geometric sequence is given in the question as:

2, 4, 8, ...

To determine the 14th term of the geometric sequence 2, 4, 8, you can use the formula for the nth term of a geometric sequence, which is [tex]a_n = a_1 \times r^{(n-1)}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio.

In this case, the first term is 2, the common ratio is 2, and the term you want to find is the 14th term, so you can plug these values into the formula to get:

[tex]a_{14} = 2 \times 2^{(14-1)}[/tex]

= 2 × 2¹³

= 2 × 8192

= 16384

Therefore, the 14th term of the geometric sequence is 16384.

Learn more about geometric series here:

brainly.com/question/21087466

#SPJ2

An employee does not pay tax on the first $4000 of earnings and then 25% tax on the rest of earnings. If he wants to have $20000 net of tax earnings does he need

Answers

Answer:

$68000

Step-by-step explanation:

Tax free earning = first 4000

Tax on remaining amount = 25%

Total earning in other to have $20000 net of tax earning :

Net of tax = tax free earning + (25% * remaining amount)

Let remaining amount = x

20000 = 4000 + (0.25 * x)

20000 = 4000 + 0.25x

20000 - 4000 = 0.25x

16000 = 0.25x

x = 16000 / 0.25

x = 64000

Hence,

Total earning should be :

Tax free earning + roaming amount

4000 + 64000

= $68000

A rocking horse has a weight limit of 60 pounds.

What percentage of the weight limit is 33 pounds? (In order to find the percentage you need to divide 33/60=?)
What percentage of the weight limit is 114 pounds? (In order to find the percentage you need to divide 114/60=?)
What weight is 95% of the limit? (in order to find the weight in pounds you need to multiply 95%(0.95) x 60=?pounds)

Answers

Answer:

55%

190%

95% = 57

PLZZ HELPP ILL GIVE BRAINLIST

Answers

Answer:

495.43

Step-by-step explanation:

How do I solve this question points to ever solves it.

Answers

1: Y-intercept is 82
2: the y intercept represents the temperature it started at
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