(a) $200 today is equivalent to having $208 in one year with 4% interest rate.
(b) $192.31 today would be equivalent to $200 in one year with 4% interest rate.
(c) true
Explanation:
(a) since simple interest is given as:
I = p x r x t/100
Where p = the principal amount
r = interest rate
t = number of years
Now, from the question our principal is $200 since we are to calculate the interest on it, and our rate is 4% as obvious from the question and as well as our time is 1year. Substituting these to the interest formula we get:
I = 200 x 4 x 1/100
And that gives $8 as the interest, therefore in one year the amount we shall have will be: $200 + $8 = $208
(b) assuming we have 200 as the amount, we have now, we can get the principal we had last year at 4% interest with the following
A = p(1 + rt/100)
Now our amount is assumed to be $200 for 1year at 4% interest rate, therefore we have:
200 = p(1+4 x 1/100)
This gives
200 = p x 1.04
which gives
200/1.04 = p
p = $192.31(to the nearest cents)
(c) The statement is obviously true, because the amount we buy things today are more expensive than the amount we bought them in previous years, so having $200 today is preferable because the interest on it is just so small and would be a waste of resources.
X-3 = square root of 4x
Answer: x = 9
Step-by-step explanation: hope this helps you!
José compra tazas $2 vende cada taza Por $5 ¿cual es su beneficio?
Question in picture RIGHT ANDWER GETS BRAINEST
Answer:
-2 [tex]\frac{1}{2}[/tex] = -2.5 and 3[tex]\frac{1}{3}[/tex] = -3.33333333
Step-by-step explanation:
The equation x2 − 9 = 0 has real solution
Work Shown:
x^2 - 9 = 0
x^2 - 3^2 = 0
(x-3)(x+3) = 0 ..... difference of squares rule
x-3=0 or x+3=0
x = 3 or x = -3
rational equations: solve for x.
Answer:
-2 or 2 im in a rush sorry
Step-by-step explanation:
Step-by-step explanation:
[tex]x\neq -5[/tex] and [tex]x\neq 6[/tex]
[tex]\frac{-11x}{x^{2}-x-30 }-\frac{8}{x-6}-\frac{x}{x+5}=0[/tex]
[tex]\frac{-11x}{x^{2} +5x-6x-30} -\frac{8}{x-6} -\frac{x}{x+5}=0[/tex]
[tex]\frac{-11x}{(x+5)(x-6)} -\frac{8}{x-6}-\frac{x}{x+5} =0[/tex]
[tex]-\frac{11x+8x+40+x^{2} -6x}{(x+5)(x-6)}=0[/tex]
[tex]-\frac{13x+40+x^{2} }{(x+5)(x-6)}=0[/tex]
[tex]-\frac{(x+8)(x+5)}{(x+5)(x-6)}=0[/tex]
[tex]-\frac{x+8}{x-6} =0[/tex]
[tex]x+8=0[/tex]
[tex]x = -8[/tex]
Please give me a brainliest answer
the area of the rectangular city park is 25/24 square miles. the length of the park is 5/9 mile. what is the width,in mils, of the park
Answer:
A rectangle's area is Length * Width [Let x = rectangle's width] A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] The width is 5/6 miles A rectangle's area is Length * Width [Let x = rectangle's width] (25/54 square miles) = (5/9 miles)*(x miles) 25/54 = (5/9)x (25/54)*(9/5) = x [multiply both sides by (9/5) 5/6 = x [cancel out] The width is 5/6 miles Just to check: (5/9)*(5/6) = 25/541/2x - 5+ 2/3 x= 7/6x+4
Determine whether 6 is a solution of the equation 2x - 5 = 1.
Choose the correct answer below.
ips
O A. Yes, 6 is a solution to the equation because a true statement results after replacing x with 6.
O B. No. 6 is not a solution to the equation because a false statement results after replacing x with 6.
O C. Yes, 6 is a solution to the equation because a false statement results after replacing x with 6.
Q D. No. 6 is not a solution to the equation because a true statement results after replacing x with 6.
2
ary
15
Answer:
B
Step-by-step explanation:
To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.
2(6) - 5 = 12 - 5 = 7 ≠ 1
Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)
A large multiplex movie house has many theaters. The largest theater has 48 rows. There are 13 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in the theater?
Which of the following describes point d?
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
its 72 good luck on your test
Answer: C, 72
Step-by-step explanation:
You just have to figure out if the denominators have a common multiple. You have to figure out what goes into 8, 9, and 12 and see if its the lowest number.
If tan t= 2/3 then cos t =3
True or false?
Answer:
FALSE
Step-by-step explanation:
We are assuming that t is a real number.
Thus, cos(t) is a real number greater than or equal to -1 and less than or equal to +1.
Thus, cos(t) = 3 is false for all real t, and so in particular it is false for the value(s) of t such that tan(t) = 2/3.
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
Explain how a formula can help you solve problems.
F(x)=4x^2 + 3x - 2 g(x)= 6x^2 - 3x^2 - 4 find (f + g) (x)
Answer
4x²+6x²-3x²-3x-2-4=7x²-3x-6
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)
15 people are to share 4.5 pizzas equally. What fraction of pizza do each one get?
Answer:
3/10
Step-by-step explanation:
4.5 divided by 15 = 0.3 or 3/10 in faction form.
Which of the following is a term in the algebraic expression P3+12P-14
Heyyyy help me please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's your Answer :
18.134 after rounding off - 18.1
2.28 after rounding off - 2.3
let's perform subtraction to get the required Answer :
[tex]18.1 - 2.3[/tex][tex]15 .8[/tex]five is eleven more than four times a number
Answer:
4 x -1.5 = -6
-6 + 11 = 5
hope this is correct if so brainlest would be appreciated.
Answer:
n = - 3/2
Step-by-step explanation:
4n + 11 = 5
4n = 5 - 11
n = -6/4 = - 3/2
What is the slope-intercept form of the linear equation 4x + 2y = 24?
Drag and drop the appropriate number, symbol, or variable to each box.
Response areaResponse areaResponse area
Step-by-step explanation:
the slope-intercept form =x + (y/2) =6
Please help me with these thanks!! :)
Answer:
-6: integer, rational, real
0: whole, integer, rational, real
0.222...: rational, real
15/3: whole , integer (if talking 5), rational, real
2: all except irrational
√3: irrational, real
-12/6: Integer, rational, real
Answer:
Hii okay so,
Question One: Integer
Question Two: Whole
Question Three: Irrational
Question Four: Rational
Question Five: Real
Question Six: Rational
Question Seven: Irrational
Question Eight: Rational
Step-by-step explanation:
Remembering doing something like this last year. Hope this helps!
The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −1.5 can be a value in the shaded region?
Yes it can, because −1.5 lies to the left of −0.5
Yes it can, because −1.5 lies to the right of −0.5
No it cannot, because −1.5 lies to the left of −0.5
No it cannot, because −1.5 lies to the right of −0.5
Answer: Option A.
Step-by-step explanation: Draw a number line from negative 5 to positive 5 with increments of 0.5. Make an empty circle on the first mark to the left of 0. It means mark an open circle at -0.5.
The region to the left of the empty circle is shaded. It means all the points lie on the left side of -0.5 at in the shaded region.
We need to find a statement that explains whether −1.5 can be a value in the shaded region.
Since −1.5 lies to the left of −0.5 , therefore -1.5 is in the shaded region.
Therefore, the correct option is A.
what is 437+1256
[tex]math[/tex]
Answer:
1693 is the result of the sum 437 plus 1256
which is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.
9514 1404 393
Answer:
7/8
Step-by-step explanation:
7/8 differs from 1 = 8/8 by 1/8.
8/7 differs from 1 = 7/7 by 1/7.
1/8 is smaller than 1/7, so 7/8 is closer to 1.
Jake came in second place in the long jump at his track meet. The winner jumped a distance of 29.18 feet and the person in third place jumped 28.83 feet. Which of the following can be the distance that Jake jumped?
What is 6 divided by 618
Answer:
103=618/6
0.0097=6/618
Step-by-step explanation:
Answer:
[tex]\frac{1}{103}[/tex] ≈ 0.009708738
Step-by-step explanation:
6 ÷ 618
Reduce the fraction [tex]\frac{6}{618}[/tex] to lowest terms by extracting and canceling out 6.
[tex]\frac{1}{103}[/tex]
Evaluate the expression.
-41-5(7–13)–19]
2(-1)
What is the value of the expression?
Answer:
-25
Step-by-step explanation:
k12
Answer:
-25
Step-by-step explanation:
ФωФThe church youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies, and 1 can of popcorn for a total sales of $85. Brian sold 4 pounds of candy, 4 boxes of cookies, and 3 cans of popcorn for a total sales of $170. Paulina sold 8 pounds of candy, 8 boxes of cookies, and 5 cans of popcorn for a total sales of $330. What is the cost of each item? (Simplify your answers completely.)
The cost of each 1 pound candy is $30, 1 box of cookies is $5 and 1 can of popcorn is $10.
We have the church youth group is selling snacks to raise money to attend their convention.
We have to determine the cost of each item they sold.
Write the following statement in the form of a mathematical equation - Steve bought 2 toffees each of $x and 5 chocolates each of $y. The total cost is $50.The mathematical equation representing the above statement is -
2x + 5y = 50
According to question -
Assume that the cost of :
1 pound candy = $x
1 box of cookies = $y
1 can of popcorn = $z
Now, write down the mathematical equation representing their total sales -
Amy - 2x + 3y + z = 85
Brian - 4x + 4y + 3z = 170
Paulina - 8x + 8y + 5z = 330
We will use the Cramer's rule to solve these equations -
The 3 x 3 coefficient matrix is -
[tex]\left[\begin{array}{ccc}2&3&1\\4&4&3\\8&8&5\end{array}\right][/tex]
Find its determinant -
D = 2(4 x 5 - 3 x 8) - 3(4 x 5 - 8 x 3) + 1(4 x 8 - 4 x 8) = 4
Create the X- matrix (X - matrix is formed by replacing the x-column values with the answer-column values) as follows -
[tex]\left[\begin{array}{ccc}85&3&1\\170&4&3\\330&8&5\end{array}\right][/tex]
Find th determinant of this X - matrix same as done above -
D(X) = 120
Similarly create a Y - matrix and Z - matrix and find their respective determinants. On solving you will get -
D(Y) = 20
D(Z) = 40
According to the Cramer's rule -
[tex]$x = \frac{D_{x} }{D}[/tex]
[tex]$y = \frac{D_{y} }{D}[/tex]
[tex]$z = \frac{D_{z} }{D}[/tex]
Therefore -
x = 120/4 = 30
y = 20/4 = 5
z = 40/4 = 10
Hence, the cost of each 1 pound candy is $30, 1 box of cookies is $5 and 1 can of popcorn is $10.
To solve more questions on Linear equations and Cramer's rule, visit the link below -
https://brainly.com/question/12682009
#SPJ2
The movement of the progress bar may be uneven becouse questions can be worth more or less including zero) depending on your answer
What is 35% of 28.6?
0.1001
1.001
10.01
0 100.1
Submit
Hold
Pass
Dony know answer
Skip for now
Answer:
10.01
Step-by-step explanation:
35% of 28.6
35/100*28.6
1001/100
=10.01
Find the length of the diagonal of a rectangle whose sides are 27m and 36m.
Answer:
45m
Step-by-step explanation:
you have to find the diagonal by using the pitagora's theoreme.
it uses the formula [tex]\sqrt a^{2} +b^{2}[/tex] when you have to find the lenght of the longer side of a triangle with an angle of 90°. So the diagonal will be [tex]\sqrt27^{2} +36^{2}[/tex] =[tex]\sqrt729+1296[/tex] = [tex]\sqrt2025[/tex] = 45
v
What is the value of x?
(3x)
20
(x + 40)
R.
35
Ο Ο Ο Ο
w
S
60
70