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:
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find the highest common factor of 9, 12 and 15
Hello there! :)
The highest common factor of 9, 12, and 15 is 3.
To find the HCF (also called the GCF) of two or more numbers, we list their factors:
9: 1, 3, 9
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
Can you see that 3 is their GCF?
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
need #5 and #6 please
Answer:
Step-by-step explanation:
Will give brainliest if right
Answer:
the answer is d to the problem
[tex]\bold{ \sqrt{12} \times \sqrt{12} }=[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{12}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sqrt{12} \times \sqrt{12} [/tex][tex] \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 2 \times 3} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 3} [/tex][tex]2 \times 2 \times 3[/tex][tex]12[/tex]
Divide 5097 by 10 and write the answer as a mixed number
NEED HELP ASAP ON A TEST WILL GIVE YOU BRAINLIST
A fishing rental company charges $25.75 for a small boat rental, plus an additional $6.20 per hour that the boat is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $53.65
How long was the boat rented?
Enter your answer in the box
Answer:
ok so first you do this 25.75 + 6.20 = 31.95 and then you just do like this 53.65 - 31.95 = 21.7 that would be the answer and the answer is 21.7
Step-by-step explanation:
hope this help and if this is wrong i am very sorry
4.5
I just took the test hope this helped ;)
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
someone help please
Answer:
6 is the Value of the Expression.
Step-by-step explanation:
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
Hopefully this helps.
5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is offered a 48-month loan without interest. If the family is not able to pay back the full amount in 48 months, they will be charged 8% interest on the purchase amount. How much money in total will the young family pay if they take longer than 48 months? (Think: 48 months is 4 years.)
Answer:
12742.84$
Step-by-step explanation:
11798 (the price) + 11796 x 0.08 (8% interest)=12742.84
Urgent! At a baseball game, a vender sold a combined total of 241 sodas and hot dogs. The number of sodas sold was 55 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Sodas = 148
Hot dogs = 93
Step-by-step explanation:
Let S and H stand for the number of Sodas and Hot dogs, respectively.
We are told that:
H + S = 241
We are also told that:
S = H + 55
Use the second expression for S (H+55) in the first equation:
H + S = 241
H + (H+55) = 241
2H + 55 = 241
2H = 186
H = 93
Since H = 93,
S = 93+55, or 148
148 + 93 = 241 [Checks]
Sodas = 148
Hot dogs = 93
Help plzz
Tap the word that "they" refers to.
Answer:Frogs
I think so…If it’s wrong and you can tell me and I’ll try correct it
Hope its correct!
;)
Have a great day!
A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer
Answer:
50 N
Step-by-step explanation:
Given :-
Mass = 10 kg
Acceleration = 5 m/s²
To find
Force applied
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 10 × 5
We have the final answer as
50 N
(Hope this helps can I pls have brainlist (crown)☺️)
[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]
[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]
[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]
[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]
Henceforth :
The force applied on the computer is 50 N.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.
Answer:
There are 27 pieces of fruits
Step-by-step explanation:
Given, apples=18
ratio of apples to oranges =3:2
Now, x/18 =3/2
or, 2x=18*3
or, x=54÷2
x =27„
please mark as branliest answer
hope it helps you
(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
How do you solve (x+4)2 ?
Answer:
Simplify the expression.
x2+8x+16
Step-by-step explanation:
solve the system of linear equations 3x-2y=16
6x-4y=32
System of Linear Equations entered :
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
// Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
Infinitely many solutions
Answer:
Step-by-step explanation:
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!
Answer: 6 years
Step-by-step explanation:
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
What is the largest the actual height of the plant could be?
4 7/10
inches
Answer:
Step-by-step explanation:
Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.
It is obvious that the height will lie within the range
2.5/4<h<3.5/4
which corresponds to the range
5/8<h<7/8 OR 0.625<h<0.875
Thus,
a. The largest actual height could be 0.875 inches, while
b. The smallest actual height could be 0.625 inches
c. The percentage error is given by the formula:
[(approx.-exact)/exact]*100%
If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,
then % error = [(0.75-0.625)/0.75]*100% = 16.7%
Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.
Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.
Question 4 options:
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A=lw
I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
Given the following data:
Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inchesTo find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
[tex]A = LW[/tex]
Substituting the values, we have:
[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]
x = 8 or x = -10
For the length:
when x = 8
[tex]Length = 8 +5[/tex]
Length = 13 inches.
For the width:
when x = 8
[tex]Length = 8 -3[/tex]
Length = 5 inches.
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right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent
Answer: The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.
can someone help me peaseeeee
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?
Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km
Step-by-step explanation:
so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.
d = 8km/h × 2h = 16km
Serena ran 16km in these 2 hours.
Answer:
the correct answer is 16km
Step-by-step explanation:
pl.z dont delete this
Please help and no links!!!!
Answer: 18
Step-by-step explanation:
Sales tax rate is 8% if Ayana buys a set of spoons price that 17.88 what will be the total cost including tax
Extra:
Percentage = 1% = 0.01, 10% = 0.1 and 100% = 1
Increase in percentage = 1 + percentage eg. (1 + 0.08 = 1.08)
Decrease in percentage = 1 - percentage eg. (1 - 0.08
92% of what number is 30?
Please answer quick!
Answer: 32.61
Step-by-step explanation:
92/100 × x = 30
x = 30 × 100/92
x = 32.61
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form. A comparison of these two fractions is:
Answer:
3/25
More right handed
3/25 ≤ 22/25
Step-by-step explanation:
There are more right handed people because 88% of them are right handed.
12/100 = 3/25
Which of these is not the net of a cube?
Answer:
B
I think it b hops it will help
What is 2+21*13-45+12*67
Answer:
1034
Step-by-step explanation:
Answer:
1034
Step-by-step explanation:
A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?
Find the slope of the line.
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
We can see certain points plotted which are (-1, 2) (1,-1) and (3, -4)
We use the slope formula to find slope with any two points that were given
[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
