Answer:
3x - 5
Step-by-step explanation:
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.
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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what is the x intercept
Answer:
The answer is B
What is the mass of 64 mL of a liquid with a
density of 2.7 g/mL?
Answer:
172.8
Step-by-step explanation:
to get density its mass over volume so if you mutiply volume by density you get the mass
At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis?
-7
-4
4
7
Answer:
Answer: -7
Step-by-step explanation:
The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.
What is Root of Equation?In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.
A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.
We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.
Now, if f(x) = 0
then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0
Now, calculating in separate the value of x as
x +4 =0 and x+ 7= 0
x = -4 and x = -7
Thus, the roots cross x axis at -4 and -7.
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find the length of segment AB
What is 100,000×1,000,000
Answer:
100,000 × 1,000,000 = 1.E11
Answer:
100000000000
Step-by-step explanation:
How do you write 1841.66666667 as money? Where does the 7 go?
Answer:
We write it as $1841.67 (Rounded)
Step-by-step explanation:
The 7 will round up to the hundredths (0.01) place.
Hoped this helped.
Seven more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Answer:
x < -10
Step-by-step explanation:
First, let x = unknown number. Then create the algebraic equation to solve for x. The equation would be 2x + 7 < -13, so 2x < -20, thus x < -10.
Answer:
If you wanted the in equality equation then your answer is 2n + 7 < -13
If you want the answer to the inequality then its n < -10
Step-by-step explanation:
2n + 7 < -13
-7 -7
2n < -20
/2 /2
n < -10
test again Add.
3/8+3/8
Answer:
3/4 or 0.75
Step-by-step explanation:
[tex] \frac{3 }{8} + \frac{3}{8} [/tex]
transform the equation
[tex] \frac{3 + 3}{8} [/tex]
calculate
[tex] \frac{6}{8} [/tex]
simplify
[tex] \frac{3}{4} [/tex]
or 0.75
Solve the word problems below: When I woke up today morning, the temperature was 24 o C. Every two hours, it gets warmer by 1o C. Write an equation to represent this linear relationship.
Answer:
n + 23
24,25,26,27,28,29,30,...
Is the relation a function? Explain
Answer:
No, does not pass the vertical line test
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
A function is a relation in which that one x-value (input) is related to exactly one y-value (output). For relations shown on graphs, we can use the vertical line test.
Since the line would intercept at 2 points in the graph at one point, it is not a function.
Hope this helps.
The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).
Which statement correctly describes the relationship between △PQR and △P′Q′R′?
1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.
4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
no links please
Answer:
the Answer is:
△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
I got 100% on the quiz
The two triangles ΔPQR and ΔP'Q'R' are congruent.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.
In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.
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The area of a triangular sail is given by the expression 1/2 bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?
42 square inches.
Step-by-step explanation:
A = 1/2 b × h
A = 1/2 x 12 x 7
A = 6 × 7
A = 42
What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?
−4
−3
−2
Answer:
-3
Step-by-step explanation:
Solution of the equation is y = -3.
What is the solution of the equation?
A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.
Given expression (3/4)y+1/4= 1+y.
simplify each term,
(3/4)y + 1/4 = 1+y
Move all terms not containing y to the right side of the equation,
(3/4)y - y = 1-1/4
(-1/4)y = 3/4
Since both side of the expression has the same denominator, the numerators must be equal.
y = -3
Solution of the equation is y = -3.
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please dont give a useless answer
Answer:
[tex]\frac{7}{10} ,0.7[/tex]
Reasoning:
Do the inverse of adding 4/5 to isolate and find a.
[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]
Decimal Form:
[tex]1.5-0.8=0.7[/tex]
Answer:
a = 0.7 = 7/10
Step-by-step explanation:
Subtract 4/5 from both sides.
a + 4/5 = 1 1/2
a + 0.8 = 1.5
a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides
a = 0.7 = 7/10
_____
If you like, you can solve this a couple of other ways:
1) Solve it as an integer problem.
10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions
10a = 7 . . . . . . . . subtract 8
a = 7/10 . . . . . . divide by 10
2) Use a common denominator
a +8/10 = 1 5/10
a = 1 5/10 -8/10 . . . . . subtract 8/10
a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction
__
Additional comment
It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.
Can someone please help solving for x
Answer:
x=6.7
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(31^\circ)=\frac{x}{13}[/tex]
[tex]13sin(31^\circ)=x[/tex]
[tex]x=13sin(31^\circ)[/tex]
[tex]x\approx6.7[/tex]
So, the opposite side is about 6.7 inches
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
2 and 3
Step-by-step explanation:
20/12 = 1.6666666
15/9 = 1.6666666
how do I find a slope that does not have zero as a point of origin
Answer:
See answer below.
Step-by-step explanation:
Pick any two ordered pairs that is on the given graph line.
The Slope = (the change in the y-values)/(the change in the x-values) or
BRAINLIEST
Please solve at least one of these problems. I would love it if you could do all of them but I know you probably won’t have time for it. Ty!
Answer:
Step-by-step explanation:
GIVING BRAINLIEST!! (ignore the answer i put i accidentally clicked on it) A line passes through the point (-2, 7) and has.a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
If (8^2)P = 8^4, what is the value of p?
Answer:
The answer is 2
First, we simplify it to 64^p = 4096.
Then, take the log of both sides:
p = log (4096) / log (64)
p = 2
Please mark brainliest i need 1 more
Step-by-step explanation:
The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.
Answer:
3 and - 3Step-by-step explanation:
Let the numbers are x and y.
Their difference is:
x - y = 6Sum of their squares:
S = x² + y²Substitute y = x - 6 into sum equation:
S = x² + (x - 6)² = x² + x² - 12x + 36 = 2x² - 12x + 36We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:
x = - (-12/2*2) = 3Then the value of y is:
y = x - 6 = 3 - 6 = - 3find the measure of angle y, 38,41,19
what times 1 over 7 equals 4? correct answer gets brainliest
Answer:
x = 28
Step-by-step explanation:
1/7(x) = 4
Multiply all sides by 7
x = 4 x 7/1
x = 28/1
x = 28
-Chetan K
Answer:
n = 28
Step-by-step explanation:
Let the unknown be n.
Then the word problem translates into n(1/7) = 4.
Multiplying both sides by 7 yields n = 28
paisley’s mom buys a car using a loan . she repays the loan by paying $22.032 in 48 equal monthly payments . how much is each payment ?
Answer: $459 each month
Step-by-step explanation:
Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.
In order to find how much each month's payment would be you divide the loan by 48.
22,032 ÷ 48 = 459
Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.
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!
miss tan has 20 boys and 15 girls in her English class.What percent of the student are girls?
Step-by-step explanation:
it's 42.85 percent that you can say 42 or maybe 43
April's unpaid balance is $200.15. Her APR is 15% and she has $80.50 in new transactions. What is her new balance?
Based on the information given the new balance is $283.15.
Using this formula
New balance=Principal+ [Principal ×(APR/12)]+New transaction
Where:
Principal=$200.15
APR=15%
New transaction=$80.50
Let plug in the formula
Let plug in the formula
New balance=$200.15+($200.15×(0.15/12)+$80.50
New balance=$200.15+$2.50+$80.50
New balance=$283.15
Inconclusion the new balance is $283.15.
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SHOW WORK, please!!!!!!
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
What is the total weight in grams for the pineapple and orange?
Answer:
1015 g and 145 gStep-by-step explanation:
Let pineapple = x, orange = y
A pineapple is 7 times as heavy as an orange:
x = 7yThe pineapple also weighs 870 grams more than the orange:
x = y + 870Compare the two equations above:
7y = y + 8706y = 870y = 870/6y = 145Find the value of x:
x = y + 870 = 145 + 870 = 1015[tex]\huge \bf༆ Answer ༄[/tex]
Weight of pineapple :
[tex] \boxed{ \sf1015 \: g}[/tex]
Weight of Orange :
[tex] \boxed{ \sf145 \: g}[/tex]
[tex]꧁ \: \large \bf{ Kaul } \: ꧂[/tex]
A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?
Answer:
The answer I'd 28464835383637533