Using compound interest, it is found that:
a) He will have paid $18,774 in total.
b) He paid $4,774 more than the price of the car.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, the parameters are:
[tex]P = 14000, r = 0.049, n = 12, t = \frac{72}{12} = 6[/tex].
Item a:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(6) = 14000\left(1 + \frac{0.049}{12}\right)^{12 \times 6}[/tex]
[tex]A(6) = 18774[/tex]
He will have paid $18,774 in total.
Item b:
18774 - 14000 = $4,774.
He paid $4,774 more than the price of the car.
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Which number is farthest from 2 on the number line? StartRoot 2. 1 EndRoot StartRoot 2. 4 EndRoot StartRoot 2. 5 EndRoot StartRoot 2. 9 EndRoot.
A number line is a representation of a graded straight line. The value that is farthest from 2 is √2.1.
What is a number line?A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are indicated by the symbol 'R'. A real number is considered to correspond to every point on a number line, and a point to every real number.
On the number line, positive numbers are on the right side of the number line while negative numbers are on the left side of the number line. Now, the value of all the given options can be written as,
[tex]\sqrt{2.1}=1.45 \\\\\sqrt{2.4}=1.55\\\\\sqrt{2.5}=1.58\\\\\sqrt{2.9}=1.7[/tex]
As we can see that the approximate value of the square root values is written above the value that is farthest from 2 is 1.45.
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someone plssssssss help me with thisss
Answer:
yes it does match
Step-by-step explanation:
the graph has the coordinates (-2,1),(-1,2),(0,3),(1,4) all on it.
Translate the following expression: "the quotient of a number and 4"
Answer:
n/4
Step-by-step explanation:
Graph y<=1-3x
Help asap
Select the correct answer.
Find the solution(s) for x in the equation below.
So
x=4 and x=5Option B
Answer:
B(x=4,x=5)
Step-by-step explanation:
Here,
[tex]x^{2} -9x+20=0[/tex]
We can find the value of x by various methods.
Method 1
By using formula
x=-b±√b²-4ac/2a
For ax²+bx+c=0
Here,
a=1, b=9, c=20
Putting the values.
x=-b±√b²-4ac/2a
x=-(-9)±√9²-4×1×20/2×1
Taking positive one.
[tex]x=\frac{-(-9)+ \sqrt{81-80} }{2} \\\\x=\frac{9+1}{2} \\\\x=5[/tex]
Taking negative one.
[tex]x=\frac{-(-9)- \sqrt{81-80} }{2} \\\\x=\frac{9-1}{2} \\\\x=4[/tex]
x=5,x=4
Method 2
[tex]\hookrightarrow x^{2} -9x+20=0\\\\\hookrightarrow x^{2}-4x-5x+20=0\\\\\hookrightarrow x(x-4)-5(x-4)=0\\\\\hookrightarrow (x-5)(x-4)=0[/tex]
x-5=0....I
x-4=0.....II
Solving equation I
x-5=0
x=5
Solving equation II
x-4=0
x=4
In a cafeteria 1/10 of the students are eating salads, and, 2/5 are eating sandwiches. there are 20 students in the cafeteria. how many students are eating lunches other than salads or sandwiches
20 x 1/10 have salads = 2 students
and
20 x 2/5 have sandwiches = 8 students
so 10 students are eating lunches other than salads or sandwiches
(20 - 2 - 8)
or 1/10 + 2/5 = 1/10 + 4/10 = 5/10 have salad and sandwich
so 5/10 have no salad no sandwich
and 5/10 x 20 = 10
Answer:
5/10, or 1/2
Step-by-step explanation:
2/5 = 4/10
4/10 + 1/10 = 5/10
10/10 - 5/10 = 5/10
Simplified, 1/2
pls mark brainlnst
how do I solve this?
Answer: X=1
Step-by-step explanation: The equation is 40x+140=180 because a triangle always adds up to 180
Then subtract 140 from both sides which makes it
40x=40
Then divide which would make it X=1
Four brother each bought two hotdogs and a bag of chips at the football
concession stand. If the bag of chips was $1.25, and the total was $18.20.
what was the price of ONE hotdog?
$1.65
$2.11
$2.27
$3
Answer:
A-$1.65
Step-by-step explanation:
You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.
.A car travels 480km in 4 hours. How long would it travel in 18 hours.
Answer:
2160
Step-by-step explanation:
18/4= 4.5
480km * 4.5= 2160
Answer:
2160
Step-by-step explanation:
The gas mileage of two trucks was compared from two different advertisements. The information is shown in the table. If the best gas mileage is the highest rate, which truck has the BEST gas mileage?ATruck A, because for every mile the truck uses 19 gallons. BTruck A, because for every gallon the truck goes 19 miles. CTruck B, because for every mile the truck uses 18 gallons. DTruck B, because for every gallon the truck goes 18 miles
The gas mileage of the trucks is the number of miles traveled per gallon of gas
The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.
How to determine the true statementAs stated above, gas mileage measures the miles traveled by one gallon of gas.
This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile
From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.
19 miles per gallon is greater than 19 miles per gallon
This means that truck A has the greater mileage
Hence, option (B) is true
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There are three red marbles and two white marbles in a bag. What is the probability of picking one red marble followed by another red marble? (Assume that you keep the red marble out of the bag.) Write your answer as a fraction, and make sure it is fully reduced.
Answer:
1/5+1/5=2/5
Step-by-step explanation:
firstly add red and white marble
What is the slope of the graph of 5x - 2y = 20?
Answer:
slope
5/2
y-inter
-10
The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the equation of the line as 5x - 2y = 20.
We have the equation of the line as -
5x - 2y = 20
2y = 5x - 20
y = (5/2)x - 10
[m] = 5/2
Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2
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Please help me
I will give Brainly
Tyhanks and five stars
Answer:
3n
Step-by-step explanation:
The number of raised fingers is 3 for each hand, so is 3 times the number of hands.
For n hands, the number of raised fingers is ...
3n
7 times the quantity of 3 times a number reduced by 10
Answer:
3 times a number:
3x
Reduced by 10 means we subtract 10:
3x - 10
7 times this quantity:
7(3x - 10)
Therefore, your answer is 7(3x - 10).
☆Hoepfully this helps!!
how much units of electricity does a 6.5kW AC unit use in 89 hours
Answer:
578.5
Step-by-step explanation:
89*6.5
If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?
Answer:
2920
Step-by-step explanation:
what is the domain and range of f(x) = ± √x^2?
Answer:
Domain: All real Numbers or (infinity, Infinity)
Range: All real Numbers or (infinity, Infinity)
Step-by-step explanation:
I am assuming the equation is F(x) = [tex]\sqrt{x} ^2[/tex]
You ask a question with 4 possible responses. Each possible response is given by at least
10 customers. What is the maximum number of customers giving any one response?
a) 10
b) 20
c) 40
d) 70
Answer:
40
Step-by-step explanation:
4•10(10 answers at 4 people)
Please help I know how to do this but there’s too much
Answer: See attached images
Step-by-step explanation:
For third period:
Minimum = 67
1st Quartile: 79.5
Median/2nd Quartile: 85
3rd Quartile: 90.5
Maximum = 99
I've attached the image for this class's box plot.
For Sixth Period:
Minimum = 70
1st Quartile: 79.5
Median/2nd Quartile: 88
3rd Quartile: 90.5
Maximum = 95
I've also attached the image for this class's box plot
Look at this table:
x y
1 15
3 6
3 8
12 18
Is this relation a function?
Answer:
No, because the you have two of the same inputs.
Lewis recently filed bankruptcy and now has a poor credit rating. he moved into an apartment and is setting up new accounts for his electric and cable. the deposits and connection fees for customers based on their credit rating are shown below. electric deposit electric connection fee cable deposit cable connection fee good rating $90 $50 $65 $75 poor rating $205 $75 $150 $110 how much more in deposits and fees will lewis pay to have his electric and cable turned on because of his bankruptcy? a. $260 b. $280 c. $360 d. $540
Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.
What is bankruptcy?Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.
Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75
He would have paid (let us say amount A)= $280
After filing for bankruptcy he has to pay = 205+75+150+110
He has to pay (let us say amount B)= $540
Difference between amount A and amount B = $540-$280
Difference between amount A and amount B = $260
Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.
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Find the equation of a line that is parallel to y=5x+7and passes through (4,3)
xx^{2} -6x+8=0
help me fin this
Answer:
x=-2.951373070
Step-by-Step Explanation
I will mark brainiest
Answer: B. 8 3/4
Step-by-step explanation:
The amount of sand he needs would be equal to the volume of the sand box.
Since the sandbox is a rectangular prism, the volume if the length*width*height/depth.
We can plug in the values given.
Volume = 3.5 feet*5 feet * 0.5 feet
Volume = 8.75 feet^3 = 8 3/4 feet^3
Answer:
B. 8 3/4
Step-by-step explanation:
How do we find the volume of a rectangular prism?
❖ The volume of a rectangular prism can be found by using the formula
length × width × height. We're given all the dimensions, so now we can
solve for the volume
Solving
[tex]3.5*5*0.5[/tex] [tex]17.5 * 0.5[/tex] [tex]8.75[/tex] [tex]8.75 = 8\frac{3}{4}[/tex]Therefore, the answer is B. 8 3/4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
When asked to draw a triangle with two 45 angles and a side length of 8 cm, Diego drew this triangle.
Do you agree with Diego’s answer?
Is there a different triangle Diego could have drawn that would answer the question? Explain or show your reasoning
The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.
What is a triangle?A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.
In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.
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1 and three fifths divided by 5 eighths
A. 1
B.
C. 2 and start fraction 14 over 25 end fraction
D. 2 and two-fifths
Answer:
c
Step-by-step explanation:
1 and 3/5 is 8/5
8/5 * 5/8 is 8/5 * 8/5
64/25
25*2 is 50
64-50 is 14
2 and 14/25 or 2 14/25
15 POINTS!!! Please help me with c and d.
Answer:
Step-by-step explanation:
You would be required to use a change in subject of formula method.
You then make H the subject of formula
πH/3 (R2 + Rr + r2)
the you make H the subject of the formula
Paolo is solving the inequality 15+2x>31.
To solve the inequality, he begins by solving the equation as shown.
Which number line represents the solution to the inequality?
Answer:
The number line that shows x > 8
Step-by-step explanation:
First, subtract 15 from both sides
15 + 2x -15 > 31
2x > 16
Then divide both sides by 2
2x ÷ 2 > 16 ÷ 2
x > 8
The answer is:
x > 8
Work/explanation:
To solve this inequality, we need to isolate x.
So first, I subtract 15 on each side:
[tex]\sf{2x > 31-15}[/tex]
[tex]\sf{2x > 16}[/tex]
Now, divide each side by 2:
[tex]\sf{x > 8}[/tex]
Hence, the answer is x > 8.Nora was offered a job that paid a salary of
$
40
,
000
$40,000 in its first year. The salary was set to increase by 3% per year every year. If Nora worked at the job for 21 years, what was the total amount of money earned over the 21 years, to the nearest whole number?
The growth in Nora's salary illustrates a geometric progression
The total amount earned over the 21 years is $1147059
How to determine the total earning?The given parameters are:
Initial salary, a = 40000
Rate, r = 1 + 3% = 1.03
Number of years = 21
The sum of n terms of a geometric progression is represented as:
Sn = a((r^n) - 1)/(r - 1)
So, we have:
S21 = 40000 * ((1.03^21) - 1)/(1.03 - 1)
Evaluate
S21 = 1147059
Hence, the total amount earned is $1147059
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There are 2 cups in 1 pint.
Use the drop-down menus to help write the equation that can be used to find the
number of cups, c, given the number of pints, p.
The equation that shows the relationship between the number of cups and pints is c = 2p.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
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Answer:
What is an equation?
An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.