1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
10

terry opened a savings account in December with $132 and saved $27 each month beginning in January the value of terrys account i

n july, then calculate the amount and evaluate the reasonableness of your estimate
Mathematics
1 answer:
liq [111]3 years ago
4 0
Let S be the amount in a savings account. 
Let m be the number of months.

General equation
S = 132 + 27m

Specific question
July is the 7th month of the year including both January and July.
S = 132 + 7*27
S = 132 + 189
S = 321

Reasonableness?
Good question. You could estimate an answer.
Start with 150 dollars and say that you add 25 a month.
7 * 25 = 175
S = 150 + 175 = 325 All of this was done in my head. Since the exact answer obtained using the formula is 321, I think that's pretty reasonable using my estimate is a guide.
You might be interested in
Y=1/3x+4 going through the point (9,-2)
Art [367]
Substitute x=9 and y=-2 into equation,
Left hand side=-2
Right hand side=1/3(9)+4= 3+4=7

Because LHS doesn’t = with RHS, the point (9,-2) doesn’t satisfy with the equation

Therefore the point doesn’t go through y=1/3x +4.
5 0
2 years ago
Please help me with these 5 questions!
kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form  y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

k=y/x

substitute

k=1/4

the equation is equal to

y=(1/4)x

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

y=(1/5)x-1

Part 8) we have

y+4=-\frac{2}{3}x

This is the equation of a line into point slope form

The slope is negative m=-2/3

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

0+4=-\frac{2}{3}x

x=-4*3/2=-6

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-3+1}{8+2}

m=\frac{-2}{10}

simplify

m=-\frac{1}{5}

Part 15) we have

y=3x-2

The slope is positive m=3

The y-intercept is -2 (For x=0)

The x-intercept is  (For y=0)

0=3x-2

3x=2

x=2/3

therefore the line is a

7 0
3 years ago
Marti’s photo album has a total of 45 pictures. Each page holds 4 pictures. She said she can only fill 10 pages completely.
amm1812

Answer:

She can only fill 10 pages completely.

Step-by-step explanation:

She can fill 10 pages, because 40/10=4.  She does not have enough pages left to fill another page fully.

8 0
2 years ago
Identify the converse of the statement R → S: "If it rains, then he will stay home."
Tasya [4]

Answer:

The correct option C:

C) S → R: If he stays home, then it will rain.

Step-by-step explanation:

There are three main transformation for an if-then statements. These three are names are converse, inverse and contrapositive.

If the statement is given:

R → S: "If it rains, then he will stay home."

Then its Converse will be:

S → R: If he stays home, then it will rain.

Its Inverse will be:

∼R → ∼S: If it doesn't rain, then he won't stay home.

Its Contrapositive will be the inverse of the converse.

6 0
3 years ago
5, 6, 7 will these numbers create a right triangle<br> true or false
kobusy [5.1K]
So in order to tell if something makes a right triangle we would use the formula Pythagorean theorem.a^2+b^2=c^2 and it must be equal and the same if not then those sides cant be use to make a right triangle

5^2+6^2=7^2

25+36=49

61=49

No ! False




4 0
3 years ago
Other questions:
  • Write the equation of a line in point-slope form thatſgoes through the coordinate
    14·1 answer
  • What is the slope for the equation y=7?<br> A. -7<br> B. 7<br> C. undefined <br> D. 0
    9·2 answers
  • Margie has these times recorded on her time sheet for the week. How many hours did she work?
    15·2 answers
  • What does <br> M=<br> Y-intercept=<br> Y=
    9·1 answer
  • A group of workers can plant 18 acres in 6 days.<br> What is their rate in acres per day?
    7·1 answer
  • What is the number of possible outcomes if three quarters are tossed and the total numbers of heads and tails are counted? A) 2
    10·2 answers
  • Round 0.97 to the nearest tenth
    13·2 answers
  • Helpppppppppppppppppppp
    5·1 answer
  • 9(x + 8) + 11(3x + 4)
    6·1 answer
  • 5(2+(-9))+-25<br> HELP<br> PLZZ
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!