Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
HELP IDK WHAT TO DOOO
Answer:
yes shes correct
Step-by-step explanation:
she is correct because 4 and 4 equal 8 which means each tree coat 10 each which is 80$
Answer:
hint find the diference
Step-by-step explanation:
(70 points) please answer this question and explain how you get the answer!!
Answer: -0.10
Step-by-step explanation:
there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.
Answer: -0.10
Step-by-step explanation:
because of the down fall
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
Math is the only place where is not questionable as to why someone has 83.
Answer:
true
Step-by-step explanation:
need this asap!!! will give brainliest and a thanks! :))
Answer:
The answer is A
Step-by-step explanation:
I am smart
The question is in the image! Please help if u can its due really soon
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?
Answer: 12 bottles left
Step-by-step explanation:
18-6=12 bottles
Answer:
Johnny will have 7 beer bottles left.
Step-by-step explanation:
4/5x - 1/10 = 3/10 what is the value of x
Answer:
x=1/2 or 0.5
Step-by-step explanation:
Hope this helps and have a great day :)How many boxes should be shaded on the grid to show 3/8 x 3/4
Answer:
9 boxes
Step-by-step explanation:
Use the figure to find the measure of angle 1. *
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
The smallest cube has a length of 6 inches.What are the edge lengths of the other cubes if the ratios of similarity to the smallest cube are 1.25, 4/3, 1.5, 7/4 and 2 respectively
Ans is in the attachment
hope it helps :)
plz mark as brainliest
Q
H.
The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Step
Statements
Reasons
1
UV || WZ
Given
2
Points S. Q, R, and T all lie on the same line.
Given
3
mZSQT = 180°
Definition of a Straight Angle
Angle Addition Postulate
4
m2SQV + m2VQT = m_SQT
5
Substitution Property of Equality
6
m2VQT + mZZRS = 180°
Same-Side Interior Angles Theorem
Substitution Property of Equality
7
m2SQV+mZVQT = m2VQT + mZZRS
Answer:
i can't understnd it at all i mean you organized it but what does those mean??
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
State if the two triangles are congruent, if they are state how you know.
A. SSS
B. HL
C. LL
Answer:
I belive it would be HL because its defenitly not SSS
Step-by-step explanation:
HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4
Answer:
1.8
2.16
3.-7
5.-702
I didn't understand the 4th one
Answer:
1) 8
2) 16
3) -7
4) 14
5) 243
Step-by-step explanation:
For number 4 i just assumed you meant 6 + 3 + 2 + 3
Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
What is the y-intercept of y=
-3x
Which of the following expressions is not equivalent to (-2)(8 +6+-3)?
(-2)(8 + 6) + (-2)(-3)
(-2)(8 + 6) + (-3)
(-2)(8) + (-2)(6) + (-2)(-3)
(-2)(8) + (-2)(6 +-3)
NEXT QUESTION
о
ASK FOR HELP
594
Answer:
[tex]b.)31\neq -22[/tex]
Step-by-step explanation:
Simplify each equation using PEMDAS:
Parentheses (x)
Exponents x²
Multiplication and Division, left to right × ÷
Addition and Subtraction, left to right - +
It is also important to follow PEMDAS when working within grouping symbols like parentheses.
Also, remember that two negatives make a positive, and when a negative and positive are multiplied, the result is always negative.
[tex](-2)(8+6+-3)\\\\-2*(8+6-3)\\\\-2*(14-3)\\\\-2*11\\\\-22[/tex]
Find which answer is not equal to -22.
a.) [tex](-2)(8+6)+(-2)(-3)\\\\-2*(8+6)-2*-3\\\\-2*14-2*-3\\\\-28-2*-3\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
b.) [tex](-2)*(8+6)+(-3)\\\\-2*(8+6)-3\\\\-2*14-3\\\\-28-3\\\\-31[/tex]
---------------------------------------------------
c.) [tex](-2)(8)+(-2)(6)+(-2)(-3)\\\\-2*8-2*6-2*-3\\\\-16-2*6-2*-3\\\\-16-12-2*-3\\\\-16-12+6\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
d.) [tex](-2)(8)+(-2)(6+-3)\\\\-2*8-2*(6-3)\\\\-2*8-2*3\\\\-16-2*3\\\\-16-6\\\\-22[/tex]
---------------------------------------------------
Option b is not equal to -22.
:Done
Solve for x
-22=2(x-10)
Answer:
−
2
2
=
2
(
−
1
0
)
x-22={\color{#c92786}{2(x-10)}}
x−22=2(x−10)
−
2
2
=
2
−
2
0
Step-by-step explanation:
Answer:
x=-21
Step-by-step explanation:
first expand the brackets
-22=2x-20
then make x on its own
-42=2x
then dived by 2
-21=x
spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x
Answer:
12x + 12
Step-by-step explanation:
2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x
Solve 3x(2) = 6x
Next combine like terms
Like terms:
2x + 3x + 6x + 1x + (-3x) + 3x = 12x
4 + 2 + 4 + 2 = 12
Rewrite simplified
12x + 12
^^This is the correct answer assuming that 3x2 x is 3x(2) + x
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
i need elp ill give a brainly to whoever helps me
Answer:
x=3
Step-by-step explanation:
cross multiply
12.5*2=30
10*x=10x
10x=30
/10
x=3
Answer:
30
Step-by-step explanation:
2.5X12=30
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???
Answer: 4 and a half
Step-by-step explanation:
x·6−14=46
Answer asap!!!! thank you!!
Answer:
x=10
Step-by-step explanation:
[tex]6x-14=46\\6x=60\\x=10[/tex]
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
What is the slope and y-intercept of x/3= -y+2 and how?????
Find the interest on an investment of $45,000
compound annually at 5.25% for 6 years
A = P(1 + r)t
Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811