Jake put the money in the savings account for about 17.5 years.
Simply explained, a savings account is a place where you can deposit funds and earn interest.
Most people won't pay any tax on their savings interest because it is paid tax-free. Only people with extremely big sums of savings would need to be concerned about this, which is less than 5% of us as basic-rate taxpayers can earn £1,000/year tax-free and higher-rate taxpayers £500.
The interest calculated in a savings account is compound interest:
So let us now calculate the savings rate of interest at 3.5% for the whole time
We know that
[tex]A=P(1+r)^n[/tex]
Where A is the amount , P is the principal , r is the rate and n is the time.
Substituting the values we calculate the value of x.
6400 = 3500 ( 1+0.035 )ⁿ
or, n = 17.54..
So the time required will be about 17.5 years in the savings account.
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Erin wants to put in a fence around her rectangular garden. If the fence will be 20 ft. wide by 25 ft. long, what is the area of the garden?
Answer:
500
Step-by-step explanation:
20*25
I don't know if this is right this is just how my teacher taught my class
Suppose that two balls are selected with replacement from a bag that contains 10 white and 5 black balls. What is the probability that both balls are black?
The probability that both the balls are black is [tex]\frac{1}{9} \\[/tex] .
Probability is the section of mathematics which deals with the likelihood of an event happening.
The value of probability is a fraction which always lies between 0 and 1. it is defined as the ratio of the favorable outcomes of an event to the total outcome of an event.
Given the bag has 10 white balls and 5 black balls. Therefore the total number of balls in the bag is 15 .
Hence the sample space is 15 .
The balls are drawn with replacement. Therefore for the first ball pick:
Number of favorable outcomes = 5
Total number of outcomes = 15
Probability = favorable outcome ÷ total outcome
Therefore [tex]P_1=\frac{5}{15}=\frac{1}{3}[/tex]
Now the ball is placed back and the second ball is picked.
Number of favorable outcomes = 5
Total number of outcomes = 15
Probability = favorable outcome ÷ total outcome
Therefore [tex]P_2=\frac{5}{15}=\frac{1}{3}[/tex]
Now the total probability that both the balls are black is :
P = P₁×P₂
[tex]P=\frac{1}{3}\times \frac{1}{3}\\\\P=\frac{1}{9}[/tex]
Hence the probability of picking two black balls is [tex]\frac{1}{9} \\[/tex] .
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A(n) ____ of a polyhedron is the intersection of the _____ of the polyhedron
An Edge of a polyhedron is the intersection of the Vertex of the polyhedron.
What is a polyhedron?A polyhedron can be described as the 3-dimensional solid that is been formed through the combination of more than one polygons and they usually have different faces which is been used in knowing them as well as their classification.
It should be noted that this polyhedrons can be categorized based on the number of faces that can be found on them, however in this case we can conclude that the Vertex serves as the point of intersection that the edges of polyhedron has.
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Answer:
edge, vertex
Step-by-step explanation:
factor 6a^3-18ab please show work
Answer:
The given expression is
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that . So (D) is the answer. Hope this helped.
Step-by-step explanation:
6a(a^2 −3b)
Step-by-step explanation:6a^3 −18ab
Factor out 6.
6(a^3 −3ab)
Consider a^3 −3ab. Factor out a.
a(a^2 −3b)
Rewrite the complete factored expression.
6a(a^2 −3b)
Evaluate x³ - y¹ if x = 2 and y = 7.
Step-by-step explanation:
x³-y¹ if x=2,y=7 we will just substitute for the value
2³-7¹
=8-7
=1
please rate as brainliest
Find the value of x.
for questions 1-3, the polar coordinates of a point are given. Find the rectangular coordinates of each point. 1. (2,3pi/4)
The rectangular coordinates of each point are (x, y) = (- √2, √2), (x, y) = (2√3, 2) and (x, y) = (- 1 / 3, - √3 / 3).
How to convert polar coordinates into rectangular form
Polar coordinates are of the form (r, θ), where r and θ are the the distance with respect to the origin and the direction in standard position. The coordinates in rectangular form can be described in polar terms by the following formula:
(x, y) = (r · cos θ, r · sin θ)
Now we find the polar coordinates equivalent to each pair of rectangular coordinates:
Case 1
(x, y) = (2 · cos (3π / 4), 2 · sin (3π / 4))
(x, y) = (- √2, √2)
Case 2
(x, y) = (- 4 · cos (7π / 6), - 4 · sin (7π / 6))
(x, y) = (2√3, 2)
Case 3
(x, y) = ((2 / 3) · cos (- 2π / 3), (2 / 3) · sin (- 2π / 3))
(x, y) = (- 1 / 3, - √3 / 3)
RemarkThe statement is incomplete. Complete form is shown below:
For questions 1 - 3, the polar coordinates of a point are given. Find the rectangular coordinates of each point: 1) (2, 3π / 4), 2) (- 4, 7π /6), 3) (2 /3, - 2π / 3).
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(5+9)+3+6(4+5)+6+9(4-3)
Answer:
86
Step-by-step explanation:
We calculate the ones in the brackets, then multiply or divide and lastly add and minus
(5+9)+3+6(4+5)+6+9(4-3)
= 14+3+6x9+6+9x1
= 14+3+54+6+9
= 86
Answer: i think 86....
Bisecting something achieves which of the following? Select all that apply.
*
Adds circles to a line segment.
Cuts in half.
Makes two equal pieces.
Moves an object along a path.
The answer choices which represent the meaning of bisecting something from the answer choices are;
Cuts in half.Makes two equal pieces.What is the meaning of bisecting something?It follows from the task content that the choices achieved by bisecting something are to be identified.
As the word implies, the term bisecting simply means cutting into equal pieces.
This follows from the prefix bi- in the word as it means two while sectioning simply involves the division.
Ultimately, the answer choices achieved by bisecting something are;
Makes two equal pieces.Cuts in half.Read more on bisection;
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What mistake, if any, did she make?
Answer:
She didn't make a mistake. All of her work is correct.
Step-by-step explanation:
12.07 - (0.104 + 132.8)
12.07 - (132.904)
12.07 - 132.904
-120.834
I hope this helps!
there are two rates that relate meters and kilometers. in the second Model it, why is 1/1000 the unit rate that is used to convert 3,200 meters to kilometers
3200 meters by using the units of conversion will be equal to 3.2 km.
We are given:
3200 meters.
We know that the unit of conversion for the meters and kilometers is given by:
1 km = 1000 m
1 m = 1 / 1000 km
For 3200 m, we will use the operation of multiplication.
So, we get that:
3200 m = 1 / 1000 × 3200 km
3200 m = 3.2 km.
Therefore, we get that, 3200 meters by using the units of conversion will be equal to 3.2 km.
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Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase the washer for $7,200 and sell its old washer for $2,500. The new washer will last for 6 years and save $1,700 a year in expenses. The opportunity cost of capital is 15%, and the firm’s tax rate is 21%.
Answer:
ysfsfdf
Step-by-step explanation:
frfrfrfrb
write this fraction in index form
Answer:
[tex]7^{-1/5}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt[5]{7}}=\frac{1}{7^{1/5}}=7^{-1/5}[/tex]
Twice the difference of m and 12 gives 72.
translate to algebraic equation
Answer:
[tex]2(m - 12) = 72[/tex]
Step-by-step explanation:
Part 1) "The difference of m and 12"
This simply means subtracting 12 from m. Therefore, we get [tex](m - 12)[/tex].
Part 2) "Twice the difference of m and 12"
This means we should double the same difference we got in Part 1. Therefore, we get [tex]2(m - 12)[/tex].
Part 3) "gives 72"
Finally, we are given that the algebraic expression we found under Part 2 should be equal to 72. Therefore, we get [tex]2(m - 12) = 72[/tex]
help help help help !!!!!!! please
The evaluations of the quadratic equation at the values of 0, 7 and - 5 are 5, 1356 and - 460, respectively.
How to evaluate a polynomial function
In this question we have the definition of a quadratic equation, which has to be evaluated at three distinct values of x. Evaluating a function consists in substituting the independent variable by a value and simplify the expression. Now we proceed to evaluate the function:
f(0) = 4 · 0³ - 7 · 0 + 5
f(0) = 5
f(7) = 4 · 7³ - 7 · 3 + 5
f(7) = 1372 - 21 + 5
f(7) = 1356
f(- 5) = 4 · (- 5)³ - 7 · (- 5) + 5
f(- 5) = - 460
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One spring day, Camila noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 60° F. For the next 4 hours, the temperature rose 2° per hour. For the next 2 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Camila's data.
The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached
How to Graph a Table of Values?
The question is a word problem that involves constructing a table of values and then graph the table values data as below;
Time Temperature
6:00 56
7:00 59
8:00 62
9:00 65
10:00 66
11:00 67
12:00 68
13:00 69
14:00 70
15:00 70
16:00 70
17:00 70
18:00 70
19:00 67
20:00 64
21:00 61
00:00 60
The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached
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The flow rate of a hose, found by dividing the volume of water that leaves the hose in cubic yards during a period of time measured in seconds
The flow rate of the hose calculated mathematically is 0.0127425 m³/s.
What is defined as the flow rate?The amount of water which flows through a pipe per unit time is measured as its flow rate. It is typically calculated by dividing the volume of water by the total time it requires to flow. A pipe's flow rate is typically assessed in meters cubes per second as well as litres per second.The flow rate of a pipe is determined by dividing this same volume of water leaving the pipe in cubic yards by the time in hours.
unit = cubic yard/ hours
The mathematical units are as follows:
1 cubic yard equals 0.764555 cubic meter.
The units in meters cubes per second are calculated as follows:
unit = 0.764555 cubic meter/60 seconds
unit = 0.0127425 cubic meter/ seconds
or, 0.0127425 m³/s
Thus, the flow rate is calculated mathematically is 0.0127425 m³/s.
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The complete question is-
The flow rate of a pipe, found by dividing the volume of water that leaves the pipe in cubic yards during a period of time measured in hours. What are the units mathematically?
In a class of 50 students, on average, 10 will be left-handed. If a class includes 15 "lefties", estimate how many students are in the class.
The class has approximately students.
Answer: approximately 75
Step-by-step explanation: We know that 10 is 1/5 of 50, so I multiplied 15 x 5 and got 75.
A certain population demographic may be defined as someone 45 and older, but less than 51 years of age
Answer:
45 > 51
Step-by-step explanation:
The integral of
f(x)=100x^99+20x^4+2/x^2+3/x+9
is
Answer:
(a)
Step-by-step explanation:
You want to identify the integral of f(x)=100x^99+20x^4+2/x^2+3/x+9.
Power ruleFor all powers of x except x^-1 = 1/x, the power rule applies:
[tex]\int{x^n}\,dx=\dfrac{x^{n+1}}{n+1}[/tex]
LogarithmThe power rule cannot apply when n=-1, as that would make the integral undefined. Instead, the integral is ...
[tex]\int{x^{-1}}\,dx=\ln{(x)}[/tex]
ConstantsAny constant multiplier (k) of the expression being integrated will be a constant multiplier of the integral of that expression.
Any indefinite integral may have a constant (c) added.
[tex]\displaystyle k\cdot\int{f'(x)}\,dx=k\cdot f(x)+c[/tex]
Applying these rules, we get the integral shown in the attachment.
please help me i’ll give you brain list as long as it’s right
Answer:
Rational & Integer
Step-by-step explanation:
Rational numbers are real numbers. Unlike Irrational numbers, they have a clear value.
Integers are just counting numbers but including 0 and negative numbers.
Hope this helps :)
what is an equation of the line that passes through the points (-4,-7) and (2,8)
Answer:
y=5/2x+3 or [tex]y=\frac{5}{2}x+3[/tex]
Step-by-step explanation:
Step 1:
Compute the slope (-4, -7), (2,8):
m=5/2
Step 2:
Compute the y intercept:
b=3
Step 3:
Add the results together:
y=5/2x+3 or [tex]y=\frac{5}{2}x+3[/tex]
Hence, the final answer is y=5/2x+3 or [tex]y=\frac{5}{2}x+3[/tex]
Greetings from Brasil...
One way to solve this question is through determinant
| X Y 1 |
| X₁ Y₁ 1 | = 0
| X₂ Y₂ 1 |
We have:
(X₁; Y₁) = (-4; -7)
(X₂; Y₂) = (2; 8)
then
| X Y 1 |
| -4 -7 1 | = 0
| 2 8 1 |
- 15X + 6Y - 18 = 0________________________________
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Work out
(
4
×
10
4
)
×
(
2.2
×
10
8
)
Give your answer in standard form.
Answer:
I think it’s 28160
Answer:
8.8×10^12
Step-by-step explanation:
4×10^4 = 40000
2.2×10^8 = 220000000
220000000×40000=8800000000000
8800000000000 = 8.8×10^12
What are the solutions to the inequality (x-3)(x+5) ≤0
O (x13≤x≤5}
Oxl-5≤x≤-3}
Ox-5≤x≤3}
O x-3≤x≤5}
The solutions to the given inequality is: C. {x| -5 ≤ x ≤ 3}.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).The given inequality can be rewritten as follows:
(x - 3) ≤ 0.
(x + 5) ≤ 0.
Evaluating the inequalities, we have:
(x - 3) ≤ 0
x - 3 ≤ 0
x ≤ 0 + 3
x ≤ 3
(x + 5) ≤ 0
x + 5 ≤ 0
x ≤ 0 - 5
x ≤ -5
Combining the inequalities together, we have:
-5 ≤ x ≤ 3
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What is the answer to 9+10= ?
Answer:
19 (if we're being real)
If you're talking abt the meme, 21
Step-by-step explanation:
Question below 100 points
The statements that are also valid based on the proportion are given as follows:
(m/p) = (n/q).(n/m) = (q/p).(q/n) = (p/m).How to obtain the valid statements?
The proportion for this problem is given as follows:
(m/n) = (p/q).
Applying cross multiplication, the proportion can also be written as follows:
mq = pn.
Then each statement in which the application of cross multiplication results in this product is valid.
Thus the third, fourth, and fifth options are the correct options, as the application of the cross multiplication for each of them results in the expression mq = pn.
For the first, second and sixth statements, they are not valid, as the application of cross multiplication would result in a different expression to mq = pn.
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6. What value of x cannot be
evaluated in the function
F(x)?
The value of x that cannot be evaluated in the function F(x) is 3
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
This in other words mean the range of a function is the set of y values of the graph.
How to determine the value of x that cannot be evaluated in the function F(x)?The function is given as
f(x) = (x + 13)/(x - 3)
Set the denominator of the function to 0
So, we have
x - 3 = 0
Evaluate the equation
x =3
This means that x =3 is not in the domain of the function
Hence, the value of x that cannot be evaluated in the function F(x) is 3
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2432233455677788889999900000000000000000000000+4656557575775756675676676-1+2=
Anwser:2.4322335e+45Y
Step-by-step explanation:
Write the ratio 4/5 with the numerator of 16
Answer:
16/20
Step-by-step explanation:
4 × 4 =16
therefore
16/(4×5)=ratio
16/20
The Thai Pepper has a hotness rating of 7.5 x 10^4 on the Scoville scale.
The Red Savina Habanero has a hotness rating of 4.6 x 10^5 on the Scoville scale.
How many times hotter is the Red Savina Habanero than the Thai Pepper?
a
Divide (4.6 x 10^5) / (7.5 x 10^4) = (4.6 / 7.5) x (10^(5-4)) = .613 x 10^1 = 6.13 times hotter
b
Multiply (7.5 x 10^4) x (4.6 x 10^5) = (7.5 x 4.6) x (10^(4+5)) = 34.5 x 10^ 9 = 3.45 x 10^10
c
Divide (7.5 x 10^4) / (4.6 x 10^5) = (7.5 / 4.6) x (10^(4-5)) = 1.63 x 10^ 1 = 16.3 times hotter
d
Multiply (7.5 x 10^4) x (4.6 x 10^5) = (7.5 x 4.6) x (10^(4+5)) = 34.5 x 10^ 9 = 3.45 x 10^10 times hotter
The Red Savina Habanero is 6. 13 times hotter than the Thai Pepper. Option A
What is ratio?A ratio can be defined as the comparison of two or more numbers on the basis of their sizes in relation to each other;
Given that;
Thai Pepper has a hotness rating of 7.5 x 10^4 Red Savina Habanero has a hotness rating of 4.6 x 10^5To determine the ratio, we have to divide Red Savina Habanero hotness rating by Thai Pepper hotness rating
This is represented as;
= 4.6 x 10^5 / 7.5 x 10^4
= 6. 13 times
The Red Savina Habanero is 6. 13 times hotter
Thus, the Red Savina Habanero is 6. 13 times hotter than the Thai Pepper. Option A
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By taking the quotient between the ratings, we can see that Red Savina Habanero is 6.13 times hotter than the Thai Pepper.
How many times hotter is the Red Savina Habanero than the Thai Pepper?We know that the Thai Pepper has a hotness rating of 7.5*10⁴, while the Red Savina Habanero has a hotness rating of 4.6*10⁵.
We want to see how many times hotter is the Red Savina Habanero than the Thai Pepper, to find that we need to take the quotient between the rating for the Habanero and the rating for the Pepper.
It gives:
Q = (4.6*10⁵)/(7.5*10⁴)
This can be rewritten as:
Q = (4.6/7.5)*(10⁵/10⁴)
=0.613*(10 ⁵⁻⁴) = 0.613*10
Now, we want to write this in scientific notation, so we need to have a single digit different than zero in the left side of the decimal point.
Then we can rewrite:
0.613*10 = 6.13*10⁰ = 6.13
We conclude that the Red Savina Habanero is 6.13 times hotter than the Thai Pepper.
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