The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
The interest earned after one year is 0.018·xReasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]
Plugging in the values gives;
[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]
Which gives;
[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]
Interest earned by investing in the savings account for one year, I = 0.018·x
The polynomial representing the interest earned is I = 0.018·xLearn more here:
https://brainly.com/question/11314161
Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
Jada, Elena, Lin walked a total of 37 miles last week. Jada walke 4 miles in Elena, and Lin walked 2 more miles than Jada.
Click on picture for more info :333
I AM BEING NICE TODAY. DONT I REPEAT DONT TAKE THE POINTS AND ANSWER A NONSENSICAL ANSWER. THIS WILL END UP IN AN REPORT LIKE BIG TIME >:<
I AM GIVING 100 POINTS AND BRAINLIEST. PRIZE GOES TO ONE WHO ANSWER FIRST AND CORRECTLY.
ATQ
[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]
[tex]\\ \sf\longmapsto 3m+10=37[/tex]
[tex]\\ \sf\longmapsto 3m=27[/tex]
[tex]\\ \sf\longmapsto m=9[/tex]
Elena=9miJade=13miLin=15miWhat is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?
Answer:
y=5/4x
Step-by-step explanation:
(A fraction)
10. Simplify each 12x°(x-4) x=6
Answer: 144
Step-by-step explanation:
since x=6 and im assuming ° means multiplication
12(6) times (6-4)
72 times 2
144
Answer:
144
Step-by-step explanation:
(12)(6)(6−4)
=144
tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives
Answer:
286 2/3 km
Step-by-step explanation:
Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to
3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.
Since distance = (rate)(time),
the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km
(3 questions for 40 points)
7. Given XPS = DNF, find the values of x and y
8. Given MTW = BGK, find the values of x and y
9. Given PRS = CFH, find the values of x, y, and z
What is a rate in math.
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
What is the sum for:
(2x−6)+4(x−3)
Answer:
6x - 18
Step-by-step explanation:
2x - 6 + 4x - 12 = 6x - 18
First, distribute the 4 and then combine the like terms to get 6x - 18.
Answer:
x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides by 6.
6x-18
6x/6-18/6
x=-2
Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Find the percent Error Show your work
Answer: 29%
Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.
Would appreciate brainly <3
Do not round your answer. Type in just the number. 0.48 is what percent of 1.6
Answer:
30 percent
Step-by-step explanation:
That is not rounded. Just straight, plain, 30 percent.
I am having a hard time on this question. Can you please explain it to me? Please keep it simple so I can understand it. I have already checked them and I just have this feeling that i'm not correct.
John is going to a gym. He must pay a one time membership fee of $75 and a monthly fee of $30. let m=the number of months john has his membership. write an expression to represent this situation. how much will john pay for 6 months of membership?
Answer:
30m + 75
$255
Step-by-step explanation:
Since John has to pay a monthly fee of 0, you can let m represent the number of months and then add the one time membership fee of $75.
30 multiplied by 6 is 180 and 180 plus 75 is 255.
33-37 odd *equations only* Help pleaseeee I didn’t even know about this until 20 mins ago
[33] x = 140° & y = 118°
The lines are parallel, sso we can tell that y will equal 118° degrees because of corresponding angles. Then for x, we can add the non-adjacent angles together, 118° + 22° = 140°
[35] x = 26° & y = 64°
x will be 180° - 90° - 64° = 26° because a triangle's angles are equal to 180° and the box represents a 90° angle. y is equal to 64° because the lines are parallel, and if we "flip" one of the triangles around we can see that y and 64° are corresponding angles. (to check, we add 26° + 64° + 90°, and it does equal 180°!)
[37] Unfortunately, in this photo I cannot see the problem.
Have a nice day! - I saw you asking for help on this, I'm sorry, I was asleep ;-;
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
10p^8 divided by 5p^4
Answer:
[tex]\sf \cfrac{10p^8}{5p^4}[/tex]
Factor: [tex]\sf 10= 5\times 2[/tex]
[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]
Cancel common factor:- 5
[tex]\sf \cfrac{2p^8}{p^4}[/tex]
Use the Quotient Rule:
[tex]\sf 8-4=4[/tex]
[tex]\boxed{\sf 2p^4}[/tex]
factorize the expression below pls help giving brainliest
Answer:
See answer below
Step-by-step explanation:
2b(2ab)² - a(2b²)² = XaY³(z - b)
[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]
[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]
[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]
X = 4
y = b
z = 2a
A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?
Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.
What is the cylinder volume?The formula for the volume of a cylinder is seen as:
V = πr²h
where
V = volume
r = radius of the base
h = height of the cylinder.
Then by Substituting the given values, we will have:
V = π(10m)²(18m)
= π(100m²)(18m)
= 18000π cubic meters
To be able to find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:
V ≈ 18000 × 3.14
= 56520 cubic meters
Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.
Learn more about cylinder from
https://brainly.com/question/9554871
#SPJ1
3y-8=3y
solve for y
help asap
step by step please
Answer:
y=4/3
Step-by-step explanation:
3y-8=3y
3y+3y=8
6y=8
y=8/6=4/3
plz help. what is the simplified expression for
Answer:
3²
Step-by-step explanation:
3³x3³=3^6
3^6÷3^4=3²
The lines represented by the equations 4y + 4x = 8 and y - x = -2 are
neither parallel nor perpendicular
the same line
perpendicular
parallel
Answer:
4 y = -4 x + 8 or y = -x + 2
y - x = -2 or y = x - 2
using the standard form for a line y = m x + b
We see that in one equation m = -1 and in the other m' = +1
this is the condition for perpendicular lines
what’s the system for 5x+21y=103 and -5x+23y=29
Umm so I'm confused
The question says
5x - 2y = 24
x + 2y = 12
Answer:
Step-by-step explanation:
5x-2y=24
x+2y=12
add the two equations
(5x-2y)+(x+2y)=24+12
6x=36
x=6
Plug in x=6 into any of the two equations
5(6)-2y=24
30-2y=24
-6= -2y
y= 3
x=6
y=3
(6,3)
.
Christian pays $15 to join a music streaming service. He also pays $0.99 for each song he downloads from the same service.
Which function can be used to find, y, the the amount of money Christian spends for x downloaded songs?
y = 0.99x + 15
y = 15x + 0.99
y = 15x
y = 0.99x
The total amount of money Christian spends to download x xongs is y = 15 + 0.99x.
Christian initially pays $15 to join the music service.
Also, he pays $0.99 for each song he downloads from the service.
If he downloads x songs, the amount extra he pays per song he downloads is price per song × number of songs = $0.99 × x = $0.99x.
This amount is added to the initial $15 he pays to join the service. So, the total amount of money he pays is y = initial amount + extra per song = $15 + $0.99x = $0.99x + $15
So, the total amount of money Christian spends to download x xongs is y = 15 + 0.99x.
Learn more about linear equations here:
https://brainly.com/question/11767839
please help with this question
Answer:
(B) $58.48Step-by-step explanation:
Total cost of nuts, including the discount and the tax:
(0.1 + 0.13 + 0.26)*20*[(100- 30)/100]*[(100 + 5.25)/100] = 7.22 (rounded)Total cost of bolts, including the discount and the tax:
(0.45 + 0.52 + 0.63+0.93)*35*[(100- 45)/100]*[(100 + 5.25)/100] = 51.26 (rounded)Total amount Carl paid:
7.22 + 51.26 = 58.48Correct choice is B
please help soon i need to get this pre-test. done
Answer:
65.5 in
Step-by-step explanation:
Ok, the two triangles are similar, since they're both right triangles, the angle in C are congruent, and the third has to be by difference. It means that the distance DC is proportional to 44 inches, on the proportion[tex]x:44 = 11.5:23.5 \rightarrow x= 44\frac{11.5}{23.5} = 21,5 in[/tex] To this we need to add the 44 inches traveled in the first part, to get a total of 65.5 in
Answer:
A.
Step-by-step explanation:
The triangles are similar, so we can estimate that the ratio between them is 1:2 (23.5/11.5~~2). Now we have that 44/2 is 22 and 44+22 is 66. The closest answer to 66 is 65.5, which is A.
What kind of sequence?
8,4,2,1....
A geometric
B arithmetic
C neither
Answer:
A. geometric
Step-by-step explanation:
The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.
Arithmetic sequences add or subtract the same number between each term.
Hope this helps.
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
Well according to the graph it took Elena 6 weeks to pay her brother back
Step-by-step explanation:
Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.
3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks
Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box
What is the value of x?
A hexagon (6 sides)
133°
112°
x°
120°
128°
100°
please help asap, no links
Answer:
X is 120° I hope this helps you
Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?
243/15
11
-15/243
33
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].
Hence:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
[tex]A = 11[/tex]
The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
12
Step-by-step explanation:
there is no x in the question