4.) Ariel makes her own jewelry to sell at the Street Fair. She can make 12 bracelets in 4 hours. If she works for 5 hours every Thursday for 4 Thursdays, how many bracelets will she make?
Answer:
60bracelets
Step-by-step explanation:
To solve this problem, we need to find her rate. This is the number of jewelries she makes per unit of time;
Rate = [tex]\frac{number of jewelries}{time taken }[/tex]
Number of jewelries = 12 bracelets
time = 4hrs
Input the parameters:
Rate = [tex]\frac{12}{4}[/tex] = 3bracelets/hr
She works 5hrs for 4 Thursdays;
Number of hours worked = 5 x 4 = 20hrs
Now, working at a rate of 3bracelets/hr for 20hrs, the number of bracelets she will produce is given as;
Number of bracelets = number of hours x rate
= 20 x 3
= 60bracelets
A teacher divides the students into three groups for project. Each group has the same number of students. Is the total number of students prime or composite? Explain period
It could be either.
1 + 1 + 1 = 3, which is prime
2 + 2 + 2 = 6, which is composite
Write an equivalent expression by distributing the "_" sign outside the parentheses:
-(5n - 9.1)
Answer:
-5n+9.1
Step-by-step explanation:
- - = +
A recipe calls for 18 ounces of cream cheese with 15 ounces of sugar." How many ounces of cream cheese are there per ounce of sugar?
PLEASE HELP
Answer:
1.2
Step-by-step explanation:
Just divide
Answer:
1.2
Step-by-step explanation:
Divide 18 by 15 and get the answer.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-5=-2x+ 10?
A. X=5. B.—5=x. C.—15=—5x. D.—5x=15
Answer:
A; (X=5)
Step-by-step explanation:
Move the constants and variable terms to one side:
3x-5= -2x+10
-5+10= -2x+ 3x
Combine like terms:
5=x or x=5
Answer:
The answer is C
Step-by-step explanation:
If you take the equation and simplify it.
3x-5=-2x+10
You would minus 3x from both sides, leaving the equation like
-5=-5x+10
Then you would minus 10 from both sides, leaving the equation like
-15=-5x
If you wanted to go further you could divide both sides by -1 and get rid of the negatives. Leaving the equation like
15=5x
Then to put it into the simpleist form you would divide both sides by 5, leaving the equation like
3=x
I hope this helps.
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 9 percent, has a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 7 percent, has a YTM of 9 percent, and also has 13 years to maturity. The bonds have a $1,000 par value.
What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In three years? In eight years? In 12 years? In 13 years?
Answer:
Bond Xcurrent market price:
PV of face value = $1,000 / (1 + 3.5%)²⁶ = $
PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07
current market price = $408.84 + $760.07 = $1,168.91
price in 1 year:
PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96
PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63
market price = $437.96 + $722.63 = $1,160.59
price in 3 years:
PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57
PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56
market price = $502.57+ $639.56 = $1,142.13
price in 8 years:
PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92
PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25
market price = $708.92 + $374.25 = $1,083.17
price in 12 years:
PV of face value = $1,000 / (1 + 3.5%)² = $933.51
PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49
market price = $933.51 + $85.49 = $1,019
price in 13 years:
market price = $1,000 + $45 = $1,045
Bond Ycurrent market price:
PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40
PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13
current market price = $318.40 + $530.13 = $847.53
price in 1 year:
PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70
PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34
market price = $347.70 + $507.34 = $855.04
price in 3 years:
PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64
PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28
market price = $414.64+ $455.28 = $869.92
price in 8 years:
PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93
PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95
market price = $643.93 + $276.95 = $920.88
price in 12 years:
PV of face value = $1,000 / (1 + 4.5%)² = $915.73
PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54
market price = $915.73 + $65.54 = $981.27
price in 13 years:
market price = $1,000 + $35 = $1,035
6x-3x+4-2x= no solution
Answer:
1x = 3x
Step-by-step explanation:
This is could be wrong not sure.
C: Determine the measure of the obtuse angle formed at the intersection of AV and HI
Answer:
146°70°104°Step-by-step explanation:
GivenCS║BMTo findA. m∠MIHB. m∠AVMC. Obtuse angle at the intersection of AV and HISolutionA...................................
∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore
m∠MIH = 180° - 34° = 146°B...................................
∠AVM and ∠VAS are same side interior angles
and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:
m∠AVM = 180° - m∠VAS = 180° - 110° = 70°C...................................
Obtuse angle at the intersection of AV and HI, if name the intersection point O:
∠AOI = ∠HOV∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°How do I do this problem?
Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is continuous on − 3 2 , 12 , we can use the Closed Interval Method. f(x) = x3 − 9x2 + 3 f ′(x) = 3x2−18x . Since f ′(x) exists for all x, the only critical numbers of f occur when f ′(x) = , that is, x = 0 or x = . Notice that each of these critical numbers lies in − 3 2 , 12 . The values
Answer:
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Step-by-step explanation:
The correct statement is described below:
Find the absolute maximum and minimum values of the function below:
[tex]f(x) = x^{3}-9\cdot x^{2}+ 3[/tex], [tex]2 \leq x \leq 12[/tex]
Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.
First, we obtain the first derivative of the function and equalize it to zero:
[tex]f'(x) = 3\cdot x^{2}-18\cdot x[/tex]
[tex]3\cdot x^{2}-18\cdot x = 0[/tex]
[tex]3\cdot x \cdot (x-6) = 0[/tex] (Eq. 1)
As we can see, only a solution is a valid critical value. That is: [tex]x = 6[/tex]
Second, we determine the second derivative formula and evaluate it at the only critical point:
[tex]f''(x) = 6\cdot x -18[/tex] (Eq. 2)
x = 6
[tex]f''(6) = 6\cdot (6)-18[/tex]
[tex]f''(6) =18[/tex] (Absolute minimum)
Third, we evaluate the function at each extreme of the given interval and the critical point as well:
x = 2
[tex]f(2) = 2^{3}-9\cdot (2)^{2}+3[/tex]
[tex]f(2) = -25[/tex]
x = 6
[tex]f(6) = 6^{3}-9\cdot (6)^{2}+3[/tex]
[tex]f(6) = -105[/tex]
x = 12
[tex]f(12) = 12^{3}-9\cdot (12)^{2}+3[/tex]
[tex]f(12) = 435[/tex]
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Question 2
If B is the midpoint of line segment AC, and BA = 8x + 9 cm, while CA = 28x - 3 cm, determine the value of x.
Answer:
[tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Midpoint of a line is a point that divides it into two equal segments.
As B is the midpoint of line segment AC,
[tex]AB=BC[/tex]
Put [tex]BA=8x+9\,,\,CA=28x-3[/tex]
To find value of [tex]x[/tex], solve [tex]8x+9=28x-3[/tex]
Therefore,
[tex]8x+9=28x-3\\9+3=28x-8x\\12=20x\\x=\frac{12}{20}\\ x=\frac{3}{5}[/tex]
So, value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?
Answer:
The least common denominator is 77 so the fractions would become 63/77 and 66/77.
what is the length of the missing side , x
Answer:
Yes please i really need it
Step-by-step explanation:
1.080 seg = ? minuts
Answer:
18 min
Step-by-step explanation:
Which statements about opposites are true? (Select all that are correct)
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.
7. Nine students want to raise $183.6 to buy practice books. So far, they have raised
$86.4. If each student raises the same amount, how much more money must each
student raise?
Answer:
10.8
Step-by-step explanation:
86.4÷9=9.6
183.6 - 86.4=97.2
97.2 ÷ 9.6=10.8
10.8x9=97.2
97.2+86.4=183.6
Help me plsss!! Thank youuuu.
Answer:
The answer is B.
Step-by-step explanation:
I need to know if it’s parallel, perpendicular or neither please explain as well.
Analysing the Question:
We are given the following equations:
x - y = 4
x + y = 9
writing these equations in slope-intercept form
y = x - 4
y = -x + 9
the general form of the slope-intercept equation is : y = mx + b (where m is the slope and b is the y-intercept)
Hence, we can say that the for Equation 1:
Slope = 1
y-intercept = -4
For equation 2:
Slope = -1
y-intercept = 9
Finding if the lines are Perpendicular, parallel or neither
If the slope of the lines is equal, the lines are parallel
If the slope of the lines is the additive inverse (negative) of each other, the lines are perpendicular
Since the slopes of the 2 lines are the additive inverse (negative) of each other, the lines are perpendicular [slope 1 = 1 , slope 2 = -1]
Can someone help me plz
Lena sells earrings from a booth at the arts fair. She pays $200 to rent the booth. She makes $5 from each pair of earrings she sells. Her profit. P. can be found using the following equation, where n is the number of pairs of earrings sold. P = 5n - 200 How many pairs of earrings must Lena sell to earn a profit of $450?
Answer:
130 earrings
Step-by-step explanation:
P=450
450=5n-200
+200 +200
650=5n
/5 /5
n= 130
She would have to sell 130 earrings in order to earn a profit of $450.
What is profit?Profit is the money earned by a business when its total revenue exceeds its total expenses.
Given is Lena who sells earrings from a booth at the arts fair. She pays $200 to rent the booth. She makes $5 from each pair of earrings she sells. Her profit [P] can be found using the following equation (where n is the number of pairs of earrings sold) → P = 5n - 200.
Now, we have the following equation -
P = 5n - 200.
Now, for a profit of $450, substitute [P] by 450 as -
450 = 5n - 200
5n = 450 + 200
5n = 650
n = 130
Therefore, she would have to sell 130 earrings in order to earn a profit of $450.
To solve more questions on equation modelling, visit the link below-
https://brainly.com/question/12666094
#SPJ2
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Principle $ 20,000 Rate 5.5% Compounded Daily Time 16 years
Required:
a. Find how much money there will be in the account after the given number of years. (Assume 360 days in a year.)
b. Find the interest earned.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Principal = $20000
Interest rate = 5.5% = 0.055 compounded daily
Time = 16years =(360 * 16) = 5760
n = number of times interest is applied per period
Amount of money in account after 16 years :
A = p(1 + r/n)^nt
A = total amount
A = 20000(1 + 0.055/360)^(360*16)
A = 20000(1 + 0.0001527)^5760
A = 20000(1.0001527)^5760
A = 48193.1611
Interest on principal :
$48193.1611 - $20000
= $28193.1611
Wilson paints 40% of a bookcase in 20 minutes. How much more time will it take to finish the bookcase
Answer:
50 mins
hope this helped :)
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 24 ? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)
Answer:
1) 8,388,608 grains of wheat.
2) 16,777,215 grains of wheat.
3) 239,674.5 pounds.
Step-by-step explanation:
Question 1)
We know that on the first square, there is 1 grain of wheat.
On the second, 2 grains of wheat.
On the third, 4 grains of wheat.
And on the fourth, 8 grains of wheat.
Therefore, we have a geometrically increasing sequence. It looks like:
1, 2, 4, 8...
Therefore, to find the number of grains on the 24th square, we can write an explicit formula.
The standard form for the explicit formula for a geometric sequence is:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial amount, r is the common ratio, and n is the nth term (starting from 1).
We know that the initial term a is 1 because there’s one grain of wheat on the first square.
And the common ratio will be 2 because each square has double the amount of the previous square.
So, substitute 1 for a and 2 for r. This yields:
[tex]x_n=1(2)^{n-1}\\[/tex]
We can simplify this:
[tex]x_n=2^{n-1}[/tex]
So, to find the amount of wheat on the 24th square, we simply need to substitute 24 for n and evaluate. So:
[tex]x_{24}=2^{24-1}=2^{23}[/tex]
Evaluate. Use a calculator:
[tex]x_{24}=8,388,608[/tex]
Therefore, on the 24th square, there are 8,388,608 grains of wheat.
Question 2.1)
We want to find the total number of grains of wheat on the board at this time.
In other words, we want to find the sum of our geometric sequence when n is 24.
The formula for the sum of a geometric series is:
[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
Where rⁿ is the value of the number of terms n, r is the common ratio, and a is the initial term.
We want to find the sum after 24 times. So, n is 24.
So, substitute 24 for n, 2 for r, and 1 for a. This yields:
[tex]S_{24}=\frac{(1)(2^{24}-1)}{2-1}[/tex]
Evaluate. Use a calculator:
[tex]S_{24}=16, 777, 215[/tex]
Therefore, the total sum of the number of grains of wheat at the board at the 24th square is 16,777,215.
Question 2.2)
And to find the weight, we will just have to multiply our total amount by 1/7000. So:
[tex]W=16777215(\frac{1}{70})[/tex]
Use a calculator:
[tex]W=239,674.5\text{ lbs}[/tex]
So, the total weight is 239,674.5 pounds.
Convert to a fraction.
3%
A:50
B:3
C:100
D:30
E:100
Answer:
3 over 100
Step-by-step explanation:
The first number is 12 less than the second number. The total of the two numbers is 154.
Answer:
65
Step-by-step explanation:
Which equation represents the situation below?
John owed the bank 7 dollars, but he made 12 dollars.
Answer:
12-7=5
Step-by-step explanation: if you u need a equation for how much he has there u go
Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.
Answer:
Her new position is 37 feet below the cave entrance
Step-by-step explanation:
Let us solve the question
∵ The cave entrance is the zero position
∵ Anna is in 42 feet below the cave entrance
→ Below zero means negative
∴ Anna is in -42 feet
∵ She descends 10 feet
→ Descend means negative
∴ She is in -42 + -10 = -52 feet
∵ She ascends 15 feet
→ Ascend means positive
∴ She is in -52 + 15 = -37 feet
→ -37 means she is in below the cave entrance by 37 feet
∴ Her new position is 37 feet below the cave entrance
If a =3 and b = -1, what is the value of ab-b2?
Answer:-1
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
What is the term for protection that guarantees payment to you in the event of financial loss?
OA.
claim
OB.
insurance
O c. premium
Help me please ...
Answer:
B. Insurance
Step-by-step explanation:
