Answer:
Area = 324ft²
Perimeter = 72ft
Step-by-step explanation:
Area of a square = length²
Area of a square = (18ft)² = 324ft²
Perimeter of a square = 4*length
Perimeter of a square = 4ft*18 = 72ft
A shipment of 8 tons of sugar is separated into containers of equal size. If 3+ 3/5 containers, how much sugar can one container hold?Write your answer as a mixed number in simplest form.
Explanation:
Since there are 8 tons of sugar in total, and there is a total of 3 + 3 / 5 containers, to find the amount each container :
divide the total of sugar/total amount of container
\(\frac{8}{3+\frac{3}{5}}\text{ = }\frac{8}{\frac{18}{5}}\text{ = }\frac{8*5}{18}=\frac{40}{18}=\frac{20}{9}=2+\frac{2}{9}=2\frac{2}{9}\)Barbara borrows $4,500 at 12 percent annually compounded interest to be repaid in four equal annual installments. The actual end-of-year payment is
The actual end-of-year payment or present value of this ordinary annuity is equal to $1,482.
How to calculate the actual end-of-year payment?For the rate of interest, we have:
Rate of interest, r = APR/12
Rate of interest, r = 0.12/12
Rate of interest, r = 0.01
Next, we would calculate the present value of this ordinary annuity by using this formula:
Present value, PV = [P ÷ [1 - (1 + r)^{-n}]/r]
Where:
r is the interest rate.P is the principal.n is the number of times compounded.Substituting the given parameters into the formula, we have;
Present value, PV = 4,500 ÷ ((1 - (1 + 0.12)^(-4))/(0.12))
Present value, PV = 4,500 ÷ ((1 - (1.12)^(-4))/(0.12))
Present value, PV = 4,500 ÷ ((1 - 0.635518078)/(0.12))
Present value, PV = 4,500 ÷ ((0.364481922)/(0.12))
Present value, PV = 4,500/3.0373
Present value, PV = $1,481.58 ≈ $1,482.
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can someone help me with this?
thank you so much! :)
Step-by-step explanation:
it seems there is some trick question involved.
we find such answers by putting a horizontal line through the y points and see, where the horizontal line is intersecting the function graph and go straight down to the x-axis to see the value of x for that y value.
the horizontal line through y = -1.5 does not intersect at all.
so, in one hand the answer is "no solution".
but on the other hand, we could assume that the function graph continues further to the right (and down).
and then the intersection point would be
(7.5, -1.5),
and the corresponding x = 7.5.
for y = 0 the horizontal line is the x-axis itself. so, for what values of x does the x-axis intersect the function curve ?
at x = -3, and at x = 6.
for y = 2 the corresponding horizontal line is intersecting the function curve at
x = -2.125 (it looks like it is at the half of the half of the half unit as the grid unit left of -2, so it is -2 - 1/2³ = -2 1/8 = -2.125)
x = 0.5
x = 4 (it just touches the tip of the curve there)
for y = 2.5 there is truly no solution. that horizontal line does not intersect the function curve at any point.
Which description best compares the graphs of the two functions below I ready
Answer:
Some of your pic is cut off so it's difficult to give the exact answer. But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2. This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third. Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.
which expression is equivalent to the given expression -2x^2+8x-9+4x+7x^2+2
Answer:
-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7
Step-by-step explanation:
Help help help help help help
Answer:
The total of this whole angle, which is represented by ∠ABD, measures 64°.
We are given that apart of this angle, ∠CBD measures 30°, so that'd mean that the other part of this angle, ∠ABC, would measure 34°.
This is because both angles ABC and CBD combined would equal a total of 64°.
So we set up the equation;
30 + x = 64
-30 -30
x = 34°, therefore ∠ABC = 34°.
Answer:
m∠ABC = 34°
Step-by-step explanation:
Given:
m∠ABD = 64°
m∠CBD = 30°
BC is the angle bisector of ∠ABD, which means that an angle is cut in half into two equal pieces. The line divides an angle into two angles.
∠ABC + ∠CBD = ∠ABD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 64° - 30°
m∠ABC = 34°
hope this helps!! p.s. i really need brainliest :)
Jackie, a marine biologist, is tracking migratory patterns of a group of whales. The endpoints
of the whales' current migration route are 9 inches apart on Jackie's chart. If the scale of the
map is 1 inch: 0.6 miles, then what is the actual distance between the whales' starting and
ending points?
Answer:
1 inch = 0.6 miles
= 9 inches = 0.6 miles*9
= 9 inches = 5.4 miles
Hence, the answer is 5.4 miles.
Please mark me as brainliest...
What is the value of x?
1/3 v2 units
1/2 v3 units
2v3 units
3v2 units
Answer:
Step-by-step explanation:
3/x = sin45
x = 3/sin45
x = 3 / ½(√2)
x = 3(2/√2)
x = 3((2√2)/2)
x = 3√2
The value of x from the give triangle is 3√2 units. Therefore, option D is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given triangle, we have opposite = 3 units and hypotenuse = x units.
We know that, sinθ=Opposite/Hypotenuse
sin45°=3/x
1/√2 =3/x
x=3√2 units
Therefore, option D is the correct answer.
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What is Division Expression for 7/10
An unknown or changeable quantity is
Answer:
Dependent Variable
Step-by-step explanation:
For example, the number of different colors on the page cannot be changed, but driving 80 miles per hour is changeable.
Ruby's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This
relationship can be represented by the equation y=55 + 6x, where y represents
the expected quiz score and x represents hours spent on homework that week. What
is the meaning of the x-value when y = 76?
Answer: The number of hours a student should spend on their homework to expect a score of 76 on the quiz.
Can someone help me with this? I want to understand each step.
Thank you
The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }
Given data ,
Let the geometric sequence be represented as A
Now , the value of A is
A = 12 ( -2/5 )ⁿ
On simplifying , we get
when n = 1
A₁ = 12 ( -2/5 ) = -4.8
A₂ = 12 ( -2/5 )²
A₂ = 12 ( 4/25 ) = 1.92
A₃ = 12 ( -2/5 )³
A₃ = -12 ( 8/125 ) = -0.768
A₄ = 12 ( -2/5 )⁴
A₄ = 12 ( 16 / 625 ) = 0.3072
A₅ = 12 ( -2/5 )⁵
A₅ = -12 ( 32 / 3,125 ) = -0.12288
Hence , the geometric sequence is solved
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A can of juice is 6 inches high, a base has a diameter of 4 inches . What is the volume of the can? Round to the nearest tenth
WHAT PERCENTAGE OF 27.5 IS 17.6
Answer:64
Step-by-step explanation:
27.5------100%
17.6--------x
x=64
What is the slope of the equation y- 5 = -3x?
Answer:
-3/1
Step-by-step explanation:
It's always the x value over the y value, so whatever's in the x
Answer:
-3
Step-by-step explanation:
the equation is y=-3x+5, so m=-3
What is the complete factorization of the polynomial below?
x³ + 3x2 +9x+27
OA. (x+3)(x+3)(x+3/)
B. (x+3)(x+3)(x-3/)
O C. (x-3)(x+3)(x+3/)
O D. (x-3)(x+3)(x-3i)
Answer:
(x - 3 i) (x + 3 i) (x + 3)
Step-by-step explanation:
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
Each of the following people bought a watch that costs 300. Which of the following people will pay the most for their purchase
The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month
Which individual will pay the most?The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.
Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.
Complete Question:
Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month
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Julie spends $5.46 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.69 more than Micah. How much money did each spend?
Answer:
Julie spent $5.46. Micah spent $27.30. Jeremy spent $33.99.
Step-by-step explanation:
Julie spent $5.46
Micah spent 5 times more than Julie, so multiply $5.46 by 5, which totals $27.30.
Jeremy spent $6.69 more than Micah, so add $6.69 to $27.30 to equal $33.99.
Amy is 4 years older than April. Together, their age is 24. How old is April and how old is Amy?
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Mrs. Krueger created the expression 4(h + 11) - 15 to estimate the number of hours each her students need to study each way to earn a certain grade average according to the expression how many hours per week does Lindsay needs to study if she wants to have an average of at least 90
Answer:
15.25 hours atleast.
Step-by-step explanation:
First rewrite the expression so it helps us find the answer.
4(h+11)-15=90
Distribute -> Substract from both sides -> Divide 61/4
\(4(h+11)-15=90\\4h+44-15=90\\4h+29=90\\4h=61\\61/4= 15.25h\)
Look at the problem below.
p + q = 17
If p = 8, what is q?
B. II
A. 25
C. 9
D. 8
Answer:
C
Step-by-step explanation:
8+q=17
17-8=9
The answer is 9
You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years
The interest obtained after 4 years from a loan of $7500 is = $750
Calculation of generated interestThe principal amount of the loan = $7500
The rate at which the interest is paid is = 2.5%
The time that it will take to pay the interest = 4 years
Using the formula for Simple interest;
SI= P×T×R/100
SI = 7500×4 × 2.5/100
SI= 75000/100
SI=$750
Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750
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Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
7/12 of a carton. How much more yogurt did they eat this week compared to last week?
Answer: 5/24
Step-by-step explanation:
The problem is 7/12-3/8. I got a common denominator of 24, then multipled 8 and 3 by 3, and 7 and 12 by 2. The problem is now 14/25-9/24, which equals 5/24
pls guys tell me the answer pls
Answer:
Height = 7m
Step-by-step explanation:
Hope that helps!
Answer:
7m
Step-by-step explanation:
What is the value of the expression 3(w•8) + x. w= 1/4 and x=4
A) 6
B) 8
C) 10
D)12
30 POINTS!!!! PLUS BTAINLYEST USER IF I CAN FIGURE IT OUT!!!!!!!!!!!!
Answer:Answer:The answer is ten or Letter CStep-by-step explanation: You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps! please give brainliest
The answer is c
Step-by-step explanation:
Answer:
C) 10
Step-by-step explanation:
=) 3(1/4 × 8) + 4
=) 6 + 4
=) 10
What are the solution(s) to the quadratic equation 50- x² = 0?
Ox=+2√5
O x = ±6√3
O x=+5√2
Ono real solution
Answer:
See below
Step-by-step explanation:
50 - x^2 = 0 add x^2 to both sides of the equation
x^2 = 50 sqrt both sides
x = +- √(50) = ±√(25*2) = ±5√2
The solutions to the quadratic equation 50 - x² = 0 are x = -5√2 or x = 5√2. Option C is correct.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
To solve the quadratic equation 50 - x² = 0, we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, we have:
50 - x² = (5√2)² - x²
= (5√2 + x)(5√2 - x)
So, we can write the equation as:
(5√2 + x)(5√2 - x) = 0
Now, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we have:
5√2 + x = 0 or 5√2 - x = 0
Solving for x in each equation, we get:
x = -5√2 or x = 5√2
Therefore, the solutions to the quadratic equation 50 - x² = 0 are x = -5√2 or x = 5√2.
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Divide 61) 213.5 what is the answer
Answer:
3.5
Step-by-step explanation:
Answer:
the answer is 0.2857142857.
Hope that helps