Answer:
12 meters
Step-by-step explanation:
Area of square = 144 Sq m
[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]
Problem
Solve for x
x + 5 = 10
——-
2
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5
Step-by-step explanation:
Suppose that a bond has a face value of ₱ 100,000 and its maturity date is 10 years from now. The coupon rate is 5% payable semi-annually. Find the price of the bond, assuming that the required yield is 4%.
Answer:
Bond Price= $108,175.71
Step-by-step explanation:
Giving the following information:
Face value= $100,000
Coupon rate= 0.05/2= 0.025
YTM= 0.04/2= 0.02
Time period= 10*2= 20 semesters
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]
Bond Price= 40,878.58 + 67,297.13
Bond Price= $108,175.71
In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:
Bond Price will be [tex]\$108,175.71[/tex]
From the information given in the text we found that:
Face value: [tex]\$100,000[/tex] Coupon rate: [tex]0.05/2= 0.025[/tex] YTM: [tex]0.04/2= 0.02[/tex] Time period: [tex]20 \ semesters[/tex]
To calculate the price of the bond, we need to use the following formula:
[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]
So with the formula already informed we will replace the values given in the text find what we want.
[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]
See more about finances at: brainly.com/question/10024737
Solve for x given the lines are parallel.
(7x - 8)
62°
Answer:
The answer is 0 ✌
Step-by-step explanation:
70 - 8 =62°
On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation:
What’s the answer, if you don’t know please do not answer.
Answer:
Yes, the bathroom has enough water and shampoo for all of them.
Step-by-step explanation:
70L+ 60S < 5600 70(8) + 60(7) = 560 + 420 = 980 There is enough water.0.02L + 0.01S 0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23 There is enough shampoo.Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Case 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes :
Case 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes:
Answer :
The two equations are :
For pasta:
For sauce:
Step-by-step explanation:
will mark brainliest
Answer:
1.
31, 37, 43, 49, 55
2.
for nth number the value is 31+6(n-1)
3.
24th number, 169-31=138 and 138/6=23
What are the solution(s) of y-4= 0?
X=-4 0r x= 4
X=-2 or x= 2
X=2
X=4
Answer: X=-2 or x= 2
Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have
Answer:
Total number of coins Nancy and bill have = 6x - 5
Step-by-step explanation:
Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .
Let
Number of Nancy's coins = x
Number of Bill's coins = 5x - 5
Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins
= x + (5x - 5)
= x + 5x - 5
= 6x - 5
Total number of coins Nancy and bill have = 6x - 5
PLSSS HELPPP WITH THIS QUESTION I WILL GIVE 12 POINTS AND THE BRAINLIEST
Answer:
22%
Step-by-step explanation:
theres 2 green marbles and 9 marbles in total
2/9=0.2222222
please help fast. - a pair of equations are shown below:
y = 7x - 8
y = 5x - 2
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
please help me. im having one of those days
Write an explicit function to describe the sequence.
-16, -13, -10, -7, ...
Answer:
Step-by-step explanation:
y = - 3x
Solve for X.
-24+6x=-6
Answer:
3
Step-by-step explanation:
start by added 24 to both sides to get
6x = 18
then divide 18 by 6 to get
x = 3
Answer:
x=3
Step-by-step explanation:
Get your constant -24 to the other side to isolate the 6x.
-24+24+6x=-6+24
6x=18
Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:
6x/6=18/6
x=3
To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.
Answer:
60 cups
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.
From the above question:
1 gallon of juice = 16 cups
Then:
4 gallons of juice = c
Cross Multiply
1 × c = 4 × 16 cups
c = 64 cups of juice
Hence, 4 gallons of juice = 64 cups of juice
We are told that :
After the party, 4 cups of juice were left over.
The cups of juice people drank at the party is calculated as:
Total cups of juice - Number of cups of juice left over.
64 cups of juice - 4 cups of juice
= 60 cups of juice
ALL MY POINTS!! ANSWER NOW PLEASEEE
Answer:
5/6
Step-by-step explanation:
1/3+1/2=5/6
1) find common denominator
2) Add top number and then add bottom
What can you do if your struggling in Volume in Math?
Answer:
Study Harder
Step-by-step explanation:
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
Triangle RST is an equilateral triangle.
Step-by-step explanation:
All three sides of the triangle are of equal length, therefore, because an isosceles triangle is when 2 sides of the triangle are the same length, a scalene triangle being when all sides are of different lengths, and a right triangle having a right angle (a 90 degree angle), this only leaves equilateral, all three sides being the same length, like in the triangle shown.
If a relation has more numbers in its range than in its domain, what has to be true?
Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.
Which of the following shapes are congruent?
Answer:
2nd option.............................................
Carter has $105 to buy a cake and pizza for his cousin's birthday party. He knows he needs to set aside $25 for the cake, and the rest of the money he can spend on pizzas. Each pizza costs $9.25. How many pizzas can Carter afford to buy? Use the inequality 9.25x + 25 ≤ 105
Answer:
8
Step-by-step explanation:
Here, we want to use the inequality to know the number of pizza that can be bought
We simply proceed to solve the inequality recently and we have the following;
9.25x + 25 ≤ 105
9.25x ≤ 105-25
9.25x ≤ 80
x ≤ 80/9
x ≤ 8.65
Since we cannot have fractional pizzas, what he can afford is rather written as 8
I need help plz! plz don't just do this for the points!
See image below!
Answer:
6 1/10
Step-by-step explanation:
You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10
steve runs a car wash and detail shop. he determines that 50% of customers get their car washed and vacuumed, while 72% get their car washed. what is the probability that a customer will get their car vacuumed given that they are getting it washed? (in decimal form rounded to nearest thousandths)
Answer:
The probability is 0.694
Step-by-step explanation:
Let the probability of getting a car washed be
P(W) = 72% = 0.72
Let the probability of getting a car vacuumed be
P(V) = ?
Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5
From Bayes’ theorem
P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed
So mathematically;
P(V|W) = P(V n W)/P(W)
= 0.5/0.72 = 0.694
Select the correct answer from each drop-down menu.
April and Jasmine found the volume of the rectangular prism below.
5x8x6
April packed the rectangular prism with centimeter cubes to find the volume. She packed 4 layers of centimeter cubes. Each layer had 8 rows with 6 cubes in each row.
Jasmine multiplied the side lengths to find the volume.
One of the students made a mistake, and her work will result in an incorrect volume.
The student who made the mistake was
.April or Jasmine
Her mistake was
she did not multiply the correct numbers
she did not pack enough layers of centimeter cubes
she should have added the length sides
She packed too many centimeter cubes in each layer
The correct volume of the rectangular prism is cubic centimeters. 240 or 200 or 270
Answer:
AprilShe did not pack enough layers of centimeter cubes240 cubic centimetersStep-by-step explanation:
Dimensions of the prism is 5x8x6
April made a mistake, she packed 4 layers of unit cubes instead of 5 layers
Correct volume of the prism is:
5*8*6 = 240 cm³Correct answer choices:
AprilShe did not pack enough layers of centimeter cubes240 cubic centimetersWhich equation can be used to represent the distance D for the times t given in the table?
Answer: D
Step-by-step explanation:
lemme get some help plz
Answer:
6(8x-2)
48x- 12 (this is the answer)
Step-by-step explanation:
to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it
Which line has a slope of 1/2 and passed through (2,-4)
Find the value of x.
7b - 2/5 = 6b - 7/5 equations with variables on both sides: decimals & fractions
Final Answer: [tex]b = -1[/tex]
Steps/Reasons/Explanation:
Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.
Step 1: Subtract [tex]6b[/tex] from both sides.
[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]
Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].
[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]
Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.
[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]
Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].
[tex]b = -1[/tex]
~I hope I helped you :)~
What is the equation of a line, in point-slope form, that passes through (-8, 1)and has a slope of ?
O y+1=(x - 8)
Oy+8= 5 (1-1)
oy-1-5(x + 8)
Oy-8= + (x+1)
Answer:
y-1 = 5(x+8)
Step-by-step explanation:
The standard equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Given
Slope m = 5 (assumed value)
Point (-8,1)
Substitute the given data's into the formula
y -1 = 5(x-(-8))
y-1 = 5(x+8)
Hence the required equation is y-1 = 5(x+8)
(2x2 – 18)(x+3)(2 – 3) = 2x4 – 36x2 + 162
Answer:
X=4
Step-by-step explanation:
I'm took lazy to explain it step by step sorry, but I'm positive that's the correct answer.
Answer:
4
Step-by-step explanation:
(4 - 18)( x+ 3) (-1)= 8 - 72 +162
-14(x+3)(-1) = 98
14(x+3) =98
x+3 = 98÷14
x+3=7
x= 7-3=4
Solve the following linear inequality.
3 x - 15 5-6
A. x < 12
B.x > 12
C.x < -12 D.x > 12
Answer:
SOLVE FOR C
c=2−
x
6
−
x
2
3
,x
=0
SOLVE FOR X
{
x=
2−c
3
(
5−c
+
3
)
; x=
2−c
3
(−
5−c
+
3
)
,
x=−
2
1
,
c
=2 and c≤5
c=2