Answer: y=5x+b
Step-by-step explanation:
I used the slope intercept equation, which supplied me the solution.
m=5
b=0
A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $7,000 for college.
a.How much will be in the account after 3 weeks?
b.How long will it take before she has $1,350?
c.Write an equation that represents the relationship between the dollar amount in her account and the number of weeks since she started depositing $125 each week.
d.Graph your equation using graphing technology. Mark the points on the graph that represent the amount after 3 weeks, and also the week she has $1,350. Write down the coordinates.
e. How long will it take her to reach her goal?
9514 1404 393
Answer:
a. $850
b. 7 weeks
c. f(x) = 125x +475
d. see attached (3, 850), (7, 1350)
e. 53 weeks
Step-by-step explanation:
a.After 3 weeks, $125×3 = $375 will have been added to the $475 already in the account. The balance will be ...
$375 +475 = $850
__
b.The student will have to add $1350 -475 = $875 to her account to reach $1350. At a rate of $125 per week, that will take ...
$875/($125/week) = 7 weeks
__
c.The initial value is $475, and the rate of change is $125 per week, so the equation can be written ...
f(x) = 475 +125x . . . . . . . balance after x weeks
__
d.See the attached graph with the required points marked. (3, 850), (7, 1350)
__
e.It will take more than 53 weeks for the student to reach her goal. (After 52 weeks, the account will have $6975, so will be $25 short of the goal.)
His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gross income. For Plan B, he can receive 1/60 of the company’s profit. Gross income is the total amount the company takes in. Profit is the difference of the gross income and expenses. The company’s expenses for one month are $100,000.
A) Write an equation for finding the gross income that would give Malcom Davis the same amount of money with either plan.
B) Solve the equation from Exercise A and interpret the solution.
C) How much would Malcom Davis receive when the two plans are the same?
D) If the gross income of the company is less than the amount from Part B, which plan would be better for Malcom Davis? Show work to support your answer.
Malcom Davis earnings is an illustration of equations and proportions.
The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.Let the profit be P, and the gross income be G.
So, we have:
[tex]\mathbf{P= G - 100000}[/tex]
(a) The equations
For plan A, we have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income
For plan B, we have:
[tex]\mathbf{B = \frac{1}{60}P}[/tex] ----1/90 of the company's profit
When both are the same, we have:
[tex]\mathbf{A= B}[/tex]
This gives
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]
Substitute [tex]\mathbf{P= G - 100000}[/tex]
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
(b) Solve the equation in (a), and intepret
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Cross multiply
[tex]\mathbf{60G = 90G - 9000 000}[/tex]
Collect like terms
[tex]\mathbf{90G - 60G = 9000 000}[/tex]
[tex]\mathbf{30G = 9000 000}[/tex]
Divide both sides by 30
[tex]\mathbf{G = 3000 00}[/tex]
The gross income must be $300000, for Dave to earn the same amount with either plan.
(c) His earnings based on (c)
We have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex]
Substitute [tex]\mathbf{G = 3000 00}[/tex]
[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]
[tex]\mathbf{A = 3333.33}[/tex]
His earning is $3333.33 when the plans are the same
(d) If the gross income in less than (b)
If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B
Read more about equations at:
https://brainly.com/question/20893366
$300, 5%, 2 years
explain
300+5%+2YEARS=16,000
HOPE IT HELPS YOU
CAN YOU BRAINLEST ME
Answer:
16,000
Step-by-step explanation:
trust me it's right
1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation:
Please help me with help please please 6 to 9 please
Answer with Step-by-step explanation:
$20.04-$16.44
$3.6
7. 6*$11.99=$71.4
24*$15.99=$383.76
30*$17.29=$518.7
8.
110.13 Canadian dollars
9.
a.36*$25.99
$935.64
b.$699+$935.64
$1634.64
c.No hidden fee
The base of a 50 ftladder is placee 30ft away from a burnong building how many feet above the geound is the top of the ladder from the ground
Answer:
i dont know the answer but ask someone smarter
Step-by-step explanation:
Maria was playing basket.she made 25 baskets.5 of the baskets were 3-pointers.The rest were 2-pointers.how many points did she score
Guys please i beg you help me
Answer:
( A . ans )expressions that work the same even though they look different.
answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
Which equation represents the
sentence, "one minus p to the
fourth power equals zero"?
OA) 1-4p=0)
OB) 4p-1=0
OC) 1-p4=0)
OD p4-1=0
Answer:
to make button connected. I am
Answer:
C
Step-by-step explanation:
This equation exactly represents the question. It has the 1- p to the 4th which will =0.
asap po please thank you po!
Answer:
1 is correct, 100.
2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.
3 is correct.
4 is correct.
5 is correct.
6 is correct.
7 is correct.
8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.
9 is correct.
and 10 is correct!
i think that you did pretty well on most of these, but remember the rounding rule.
Can someone answer this really quick
NOT CONGREUNT!! There is no axiom to prove congruent.
hi pls help me thanksss
pls provide me with workings thankss :)
Step-by-step explanation:
(i)
Using cos(a - b) = cos a cos b + sin a sin b
[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]
cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]
(ii)
Using cos(a + b) = cos a cos b - sin a sin b
cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]
(iii)
Using cot a = [tex]\frac{cos a}{sin a}[/tex]
[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]
[tex]=\frac{cos A cos B}{sin A sin B}[/tex]
[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex] [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]
= 3
please give me a brainliest answer
A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.
Answer:
Step-by-step explanation:
Begin by multiplying both sides by 2
2*A = 2*(b1 + b2) * h/2 Cancel the 2s
2A = (b1 + b2 ) * h Divide both sides by (b1 + b2)
2A/(b1 + b2) = (b1 + b2)*h / (b1+b2) Cancel B1 + b2
2A/(b1 + b2) = h
whats the answer for 6x+4y=−12
The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.
Answer:
703,705
Step-by-step explanation:
divide 1408 by 2
add one for one number
subtract one for the other
(−m
2
+6)+(−4m
2
+7m+2)
Following are calculation to the given eqution:
Given:
[tex]\bold{(-m^2+6)+(-4m^2+7m+2)}[/tex]
To find:
Solve the equation.
Solution:
[tex]\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\[/tex]
Therefore, the final solution is "[tex]-1(5 m^2-7m-8)[/tex]".
Learn more:
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PLEASEEE HELP ME WHAT IS THE ANSWER!!
Answer:
Number 3 is correct.
129.19m
Step-by-step explanation:
You might be wondering how did I got 32⁰, well, that's because they are alternate angles.
Now, we're trying to find the opposite side of the triangle.
Using the laws,
we got cos32⁰=x/243.8
243.8cos32⁰=x
129.19⁰
Mark me as Brian list?
Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.
please help me its due in 3 mins
Answer:
s = 19°Step-by-step explanation:
The angles that are directly opposite to each other are known as opposite angles. They are also termed as vertical angles or vertically opposite angles and are equal to each other.
so
106 = 6s - 8
106 + 8 = 6s
114 = 6s
s = 114 : 6
s = 19°
-----------
check
6 * 19 - 8 =
106°
the answer is good
If m∠ P = (19x -5) ∘ and Angle P is a right angle, find the value of x;
Answer:
the value of x= 5
Step-by-step explanation:
hey there!
given;
∠P=90°( right angle)
now;
∠p=19x-5
90°+5°=19x
95/19=x
x=5
hope it helps!
Solve for x 3/8(2x+16)−2=13
The "/" is for a fraction btw
PLS HELP WILL MARK BRAINLIEST!
More than means addition.
C is the correct option.
= (2x + 4) + 9 - 4y + 3x
= 2x + 4 + 9 - 4y + 3x
= 5x + 13 - 4y
= 5x - 4y + 13
Answer:
5x-4y+13 (c)
Step-by-step explanation:
9-(4y-3x)+(2x+4)
9-4y+3x+2x+4
3x+2x-4y+9+4
5x-4y+13
Anybody know the answer to number 2 !!!
Answer:
Well I can't put it on a number line but the order they should go in is: 2 [tex]\frac{1}{4}[/tex], 2.3 (repeating), 2.5,[tex]\sqrt{8}[/tex]
Step-by-step explanation:
Which graph shows the function f(x) = x with an input of f(x – 3)?
Answer:
Option BStep-by-step explanation:
f(x - 3) is the horizontal shift 3 units right.
The B graph is displaying this translation, the graph A is also a horizontal shift of f(x) = x, but the shift is 3 units left.
The graphs C and D are vertical transformations and therefore incorrect.
Answer:
Its Option D
Step-by-step explanation:
I gotta D for the right answer.
1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?
Answer:
26
Step-by-step explanation:
there are already 44 dogwood trees
there will be 70 dogwood trees by the end of the day
we take how many dogwood trees there already are and subtract them from what there will be
70-44=26
What expression is equivalent to 4 to the power of 4 times 4 to the power of -9
what is this frfr??????????????????
Answer:
7
Step-by-step explanation:
7x-6=43
+6 +6
7x=49
/7 /7
x=7
Answer: x=7
is the answer
29 yards=how many ft
Answer:
87 ft
Step-by-step explanation:
hope it's correct
please give me a brainlist
thank you
i need help ASAP!! will mark brainliest. I need to find the vertex of this problem but i don’t know how to work/solve it, pls help! thanks!!
