A short term loan company agrees to lend Bobby $1,200. The amount (plus interest) is repayable in one year, and the interest rate is 59%. What is the total amount that must be repaid? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer. For example if your answer is $1,234.56 enter 1235.
Answers
The following parameters are provided in the question:
\(\begin{gathered} \text{Principal, P= \$1200} \\ \text{Time, T=1 year} \\ \text{Rate, R=59\%} \end{gathered}\)The simple interest is given by the formula:
\(I=\frac{PRT}{100}\)Thus,
\(\begin{gathered} I=\frac{1200\times59\times1}{100} \\ I=\text{ \$708} \end{gathered}\)The amount, A, payable in one year is given as:
\(\begin{gathered} \text{Amount}=\text{Principal}+\text{Interest} \\ A=1200+708 \\ A=\text{ \$1908} \end{gathered}\)Answer:$1908
Step-by-step explanation:
Related Questions
Solve for y. Y/4 - y-1/2>3
Answers
Answer:
y < -14/3
Step-by-step explanation:
y/4 - y - 1/2 > 3
+1/2 +1/2
---------------------------
y/4 - y > 7/2
*4 *4
---------------------------
y - 4y > 14
-3y > 14
/-3 /-3
---------------------------
y < -14/3
Answer:
y < -14/3 --> final solution
Jonah has a 3-pound bag of soil todistribute equally between 6 flower pots.How much soil will be in each pot?
3 Divided 6 = 3 or 6 Divided 3 = 2?????????
-
6
Answers
Step-by-step explanation:
3 -> 6
? -> 1
? x 6 = 3 x 1
? = 3 / 6 = 1/2 pound bag of soil
1/2 pound soil will be in each bag
someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
Pls explain your answer
Answers
The answer of the given question based on series to find the sum is the sum of the series is 52/81.
What are the types of series?There are many types of series in mathematics, but some of the most common ones are:
Arithmetic series: A series in which difference between each term and its preceding term is constant. For example: 1, 3, 5, 7, 9, ... is arithmetic series with common difference of 2.
Geometric series: A series in which each term is obtained by multiplying the previous term by a constant factor. For example: 2, 4, 8, 16, 32, ... is a geometric series with a common ratio of 2.
Harmonic series: A series in which each term is the reciprocal of a natural number. For example: 1/1, 1/2, 1/3, 1/4, 1/5, ... is a harmonic series.
Telescoping series: A series in which most of the terms cancel out, leaving only a few terms that need to be added or subtracted. For example: 1/2 - 1/3 + 1/4 - 1/5 + ... is a telescoping series , and many more.
We can write the series as:
Σ to the power ∞ to the base n=1 [(3ⁿ + 5ⁿ) / 9ⁿ]
= Σ to the power ∞ to the base n=1 [(3/9)ⁿ + (5/9)ⁿ]
= Σ to the power ∞ to the base n=1 [(1/3)ⁿ + (5/9)ⁿ]
Let S be the sum of this series. Then:
S = (1/3)¹ + (5/9)¹ + (1/3)² + (5/9)² + (1/3)³ + (5/9)³ + ...
Multiplying both sides by (1/3) and adding it to itself, we get:
(1/3)S + S = (1/3)² + (5/9)² + (1/3)³ + (5/9)³ + (1/3)⁴ + (5/9)⁴ + ...
Simplifying, we get:
(4/9)S = (1/3)² + (5/9)²
Multiplying both sides by (9/4), we get:
S = [(1/3)² + (5/9)²] * (9/4)
S = (1/9) + (25/81)
S = 52/81
Therefore, the sum of the series is 52/81.
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2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Please if you're feeling depressed or something, reach out to these people
Answers
Answer:
thank you i will make sure to<3
Answer:
Your a legend
Have a nice day!
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
Answers
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answers
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
What is the least possible degree of the polynomial graphed above?
Answers
Using it's critical points, it is found that the least possible degree of the polynomial graphed above is 4.
What are the critical points of a function?The critical points of a function are the values of x for which:
f'(x) = 0
At these critical points, the behavior of the function changes from increasing to decreasing or vice versa.
If a function has n critical points, the least possible degree is of n + 1.
From the changes in behavior of the graph, the function has critical points at:
x ≈ -3.5
x ≈ -1.5
x ≈ 0.25
The function has 3 critical points, hence the least possible degree of the polynomial graphed above is 4.
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John has $100 in his bank account, and is spending $3 a day on lunch. How long until he has $55 in his account?
Answers
Answer:
15 days
Step-by-step explanation:
We know that John has $100 in his bank account and he is spending $3 a day.
We want to find how many days until he has $55 left.
d=days
55=100-3d
55+3d=100
100-55=3d
3d=45
Solving for d, we divide by 3.
Your answer is 15.
1 The figure shows a rectangle inscribed in a circle.
Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.
Answers
Answer:
46.8 cm²
Step-by-step explanation:
The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).
The area of the rectangle is \((6)(10)=60\) cm².
Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answers
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of and use a class width of . Does the frequency distribution appear to be roughly a normal distribution?
Answers
Answer:
The frequency distribution does not appear to be normal.
Step-by-step explanation:
The data provided is as follows:
S = {0.38 , 0 , 0.22 , 0.06 , 0 , 0 , 0.21 , 0 , 0.53 , 0.18 , 0 , 0 , 0.02 , 0 , 0 , 0.24 , 0 , 0 , 0.01 , 0 , 0 , 1.28 , 0.24 , 0 , 0.19 , 0.53 , 0 , 0, 0.24 , 0}
It is provided that the first lower class limit should be 0.00 and the class width should be 0.20.
The frequency distribution table is as follows:
Class Interval Count
0.00 - 0.19 21
0.20 - 0.39 6
0.40 - 0.59 2
0.60 - 0.79 0
0.80 - 0.99 0
1.00 - 1 . 19 0
1.20 - 1. 39 1
The frequency distribution does not appear to be normal. This is because the frequencies does not start and end at almost equivalent points and the mid-distribution does not consist of the highest frequency.
Thus, the frequency distribution does not appear to be normal.
Question 1 (2 points) Consider the integral Z sec3 x dx. There are often more ways than one to solve an integral. In this and the next questions, we will explore different ways to solve this integral. (a) (1pt) Let u = tan x, try a substitution. Can you solve the integral this way? Give it a try. Do not worry if you cannot get this to work. (b) (1pt) Let u = sec x, try a substitution. Give it a try. Do not worry if you cannot get this to work. Question 2 (5 points) Use integration by parts with u = sec x, dv = sec2 x dx to solve the integral Z sec3 x dx. ⢠The identity tan2 x + 1 = sec2 x might be helpful. ⢠You may use that Z sec x dx = ln |sec x + tan x| + C ⢠You might have to solve for the unkown integral similar to problem 8.2-9 on the lecture worksheets. Question 3 (6 points) In this problem you will use partial fractions to evaluate the integral: Z du (1 â u 2 ) 2 (a) (2pts) First set up the partial fraction decomposition for: 1 (1 â u 2 ) 2 = A 1 + u + B (1 + u) 2 + C 1 â u + D (1 â u) 2 Show that B = 1/4 and D = 1/4. (b) (4pts) Assume that A = B = C = D = 1/4. Evaluate the integral Z du (1 â u 2 ) 2 Question 4 (5 points) We will consider the integral Z sec3 x dx once more. Now use sec x = 1 cos x to rewrite: Z sec3 x dx = Z dx cos3 x = Z cos x dx cos4 x Then use the substitution u = sin x. Can you use Question 3 to solve this integral? Show all your work!
Answers
The final solution is Z sec3 x dx = 1 4 (2sin x cos4 x + C).
Question 1: (a) Let u = tan x, then du = sec2 x dx and the integral can be written as Z sec3 x dx = Z tan3 x sec2 x dx. This substitution does not work as it does not eliminate the sec2 x term. (b) Let u = sec x, then du = sec x tan x dx and the integral becomes Z sec3 x dx = Z sec4 x tan x dx. This substitution does work as it eliminates the sec2 x term.
Question 2: Using integration by parts with u = sec x and dv = sec2 x dx, we can solve the integral. First, we calculate the integral of udv = Z sec x sec2 x dx = Z sec3 x dx = ln |sec x + tan x| + C. Then, the integral of vdu = Z sec2 x dx sec x = Z sec3 x dx - ln |sec x + tan x| + C. Combining the two equations, we get Z sec3 x dx = 2ln |sec x + tan x| + C.
Question 3: (a) The partial fraction decomposition of 1 (1 â u 2 ) 2 is A 1 + u + B (1 + u) 2 + C 1 â u + D (1 â u) 2. Solving for B and D, we get B = 1/4 and D = 1/4. (b) Assuming that A = B = C = D = 1/4, the integral becomes Z du (1 â u 2 ) 2 = Z 1 4 âu + 1 4 (1 + u) 2 + 1 4 (1 â u) 2 du = Z (1 + u + 1 âu) du = Z 2 du = 2u + C = 2sin x + C.
Question 4: Using sec x = 1 cos x, we can rewrite the integral as Z sec3 x dx = Z dx cos3 x = Z cos x dx cos4 x. Letting u = sin x, we have du = cos x dx and the integral becomes Z cos x dx cos4 x = Z u du cos4 x. Using the results from Question 3, we can then solve the integral as Z cos x dx cos4 x = 1 4 Z (1 + u + 1 âu) du cos4 x = 1 4 (2u cos4 x + C) = 1 4 (2sin x cos4 x + C).
Therefore, the final solution is Z sec3 x dx = 1 4 (2sin x cos4 x + C).
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set up and solve an equation to find the measure of each missing angle
Answers
Answer:
Step-by-step explanation:
A grocery store has bananas on sale for 2 pounds for $1.50. What is the cost of 6 pounds of bananas?
Answers
Answer:
$4.50
Step-by-step explanation:
6 / 2 = 3
$1.50 x 3 = $4.50
2/1.5 is equal to 6/x
You cross multiply and you get 4.5
Please answer this question
Answers
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
Yung is roping in an area to play soccer in her backyard. The eld needs to be 30 feet by 15 feet. How much rope will she need?
Answers
The measurements given 30 feet by 15 feet should tell you that the shape of the area is a rectangle.
In this case, find the perimeter to get the total length of rope she need.
Perimeter of a rectangle,P = 2(l+w) where l is length =30 feet and w is width , 15 feet and P is perimeter.
P= 2(l+w)
P =2(30+15)
P=2(45)
P=90 feet.
The rope she will need is 90 feet. Answer.
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answers
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answers
Answer:
????????????????????????????????????????
please help me with this
Answers
Answer:
F
Step-by-step explanation:
64x³ = -1
x³ = -1/64
x = ∛-1/∛64
x = -1/4
Answer:
x = - \(\frac{1}{4}\)
Step-by-step explanation:
64x³+1=0
Add 1 to both sides:
64x³=-1
Divide both sides by 64:
x³=-\(\frac{1}{64}\)
Find cubed root of both sides:
x=-\(\sqrt[3]{\frac{1}{64}}\)
Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :
x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)
Evaluate:
x = - \(\frac{1}{4}\)
Y=x+3
2x+y=-6
Find the solution :
Answers
Answer:
Your solution is (-3,0)
Step-by-step explanation:
Hi,
We know what Y is, so we can plug it into the second equation.
2x + y = -6
2x + (x + 3) = -6
Now, add the like terms...
3x + 3 = -6
3x = -9
x = -3
Now, plug x back in to find y.
y = x + 3
y = (-3) + 3
y = 0
Your solution is (-3,0)
Hope this helps :)
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
Answers
The length of the zip wire is approximately 25.42 meters.
To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.
Given:
Distance between the two posts: 25m
Angle of the zip wire to the horizontal: 10°
We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.
In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.
Using the cosine function:
cos(angle) = adjacent/hypotenuse
cos(10°) = 25m/hypotenuse
To find the hypotenuse (length of the zip wire), we can rearrange the equation:
hypotenuse = 25m / cos(10°)
Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.
Therefore, the length of the zip wire is:
hypotenuse = 25m / 0.9848 ≈ 25.42m
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Need help on multiple choice question
Answers
pls give direct answer I've been stuck forever
Answers
Answer:
3 feet
Step-by-step explanation:
36 ft²/6 = 6 ft² in pantry
area = l x w
6 = X × 2
x = 3 ft
Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answers
Answer:
Incorrect
Step-by-step explanation:
Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.
Answer:
Incorrect
Explanation:
Maxwell's dog eats one cup of food a day. The bag contains only eighteen cups, so it will feed the dog for eighteen days. There will not be enough food to last Maxwell for 27 days. So, the answer is incorrect.
5 2/3 + 3 1/2 =
Your answer
Answers
Answer:
9 1/6
Step-by-step explanation:
Add the whole numbers: 5+8
Combine the fractions by making their denominator the same: 7/6
Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.
Answer:
9 1/6
Step-by-step explanation:
5 2/3 + 3 1/2 =
We need to get a common denominator of 6
5 2/3 *2/2 = 5 4/6
3 1/2 *3/3 = 3 3/6
5 4/6 + 3 3/6
8 7/6
8+ 6/6 + 1/6
8 + 1 + 1/6
9 1/6
1/8 x a number equals 2
Answers
Answer:
The number should be 16.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
1/8 * x = 2
x = 16
Find the value of x in the triangle shown below.
Answers
Answer:
i think its the same as one of the angles: 42º
correct me if im wrong
I really need to know how to solve this type of problems
Answers
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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