Answer:
d 9 years, 11 months
Step-by-step explanation:
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.
P = $5,960.32
Rate = 4.2%
Number of years = x
Final amount=$9000
Number of times compounded= x/2
A= p(1+r/n)^(nt)
9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)
9000= 5960.32(1+0.084/x)^x²/2
2(9000/5960.32)=(1+0.084/x)^x²
3.019972=((x+0.084)/x)^x²
On trial an error
The value of x is found to be approximately 9 year, 11 months
Evaluate the expression below.
6+15•(5 – 3) + (9-4) - 7
A. 5
B. o
C. 70
D. 19
Answer:
34
Step-by-step explanation:
[tex]6 + 15(5 - 3) + (9 - 4) - 7\\6 + 15(2) + 5 - 7\\6 + 30 + 5 - 7\\36 + 5 - 7\\41 - 7\\34[/tex]
Use PEMDAS, order of operations.
First work out the Parenthesis, then any Exponents, then Multiplication, then Division, then Addition and finally, Subtraction, from left to right.
Are the ratios 0:5 and 0:20 equivalent?
0:5 and 0:20 are equivalent. You multiply both 0 and 5 by 4 to get 0 and 20.
What is 3.30 divided by -2.00? Show work.
Answer:
1.65Step-by-step explanation:
[tex]\frac{3.3}{-2}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{3.3}{2}\\\\\mathrm{Divide\:the\:numbers:}\:\\\frac{3.3}{2}=1.65[/tex]
8.2 more than the quotient of h and 6 is w
Answer:
8.2 + (h÷6=w)
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi. someone pls help me
Answer:
The minimum width of the placemat is 10 inches.
Step-by-step explanation:
Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:
[tex]w = D[/tex]
Where:
[tex]w[/tex] - Width of the placemat, measured in inches.
[tex]D[/tex] - Diameter of pizza, measured in inches.
The area of the pizza, measured in square inches, is determined by this formula:
[tex]A = \frac{\pi}{4} \cdot D^{2}[/tex]
The diameter is cleared afterwards:
[tex]D = \sqrt{\frac{4\cdot A}{\pi} }[/tex]
If [tex]A = 78.5\,in^{2}[/tex] and [tex]\pi = 3.14[/tex], then:
[tex]D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }[/tex]
[tex]D = 10\,in[/tex]
The minimum width of the placemat is 10 inches.
The minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table is; 10 inches
We are told that the pizza has an area of 78.5 in². Thus;
A = 78.5 in²
Now, the pizza is circular in shape and the minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table will be the diameter of the pizza
Thus, area of a circle with diameter d is;
A = πd²/4
Plugging in the relevant values, we have;
78.5 = 3.14d²/4
d² = 78.5 × 4/3.14
d² = 100
d = √100
d = 10 inches.
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Please help:((((((((((
Answer:
7. 3x + 6 = 3x + 10
8. 3x + 6 = x + 2(x + 3)
Step-by-step explanation:
7.
To write an equation with no solutions, we write an equation in which the x terms are eliminated, and we end up with a false statement when we try to solve the equation.
Start with
3x + 6 =
This means: take a number, x, multiply it by 3, then add 6 to it.
To make it into an impossible equation, take the same number x, multiply it by 3, and now add 10 instead of 6. The same number x, multiplied by 3 just like above, and now with 10 added to it cannot equal 3x + 6.
Let's write the equation and try to solve it.
3x + 6 = 3x + 10
Subtract 3x from both sides.
6 = 10
Since 6 = 10 is a false statement, there is no solution.
8.
Now we need an equation that is true for every value of x.
We start with 3x + 6 on the left side.
3x + 6 =
To make it true for every value of x, which means it has an infinite number of solutions, we write an expression on the right side that is the same as 3x + 6, just written in a different form.
For example, start with
3x + 6
Separate 3x into x + 2x, now you have
x + 2x + 6
Now factor 2 out of 2x + 6, so you get
x + 2(x + 3)
The expression x + 2(x + 3) is equal to the expression 3x + 6. Now we use x + 2(x + 3) on the right side of the equation we are writing. We get:
3x + 6 = x + 2(x + 3)
Let's solve this equation.
Distribute on the right side.
3x + 6 = x + 2x + 3
Combine like terms on the right side.
3x + 6 = 3x + 6
Subtract 6 from both sides.
3x = 3x
Subtract 3x from both sides.
0 = 0
0 = 0 is a true equation. Therefore, the equation 3x + 6 = x + 2(x + 3) has infinitely many solutions. in other words, every real number is a solution of the equation.
8 old rings for every 1 new ring - 16 old rings for every 2 new rings is proportional or not proportional
Answer:
Proportional
Step-by-step explanation:
If you simplify 8/16 down as a fraction it would be 1/2 which is the same as 1/2 for the other one. You can also times the new rings by 8 which equals the old rings.
Simply the answer and write as a mixed number if possible
3/4 divided by 9/10
Reduce the expression, if possible, by canceling the common factors.
Exact Form:
5/6
Answer:
27/40
Step-by-step explanation:
There is no possible way to simplfiy the equation
You’ve seen how a polygon can reflect onto itself during a transformation. use what you know about symmetry to describe the line of reflection required for such a transformation. be sure to use the word symmetry in your answer.
When the line of reflection occurs simultaneously with a line of symmetry for a polygon or shape, the shape will be able to reflect onto itself
Hope this helps
When the line of reflection occurs simultaneously with a line of symmetry for a polygon or shape, the shape will be able to reflect onto itself.
What is reflection symmetry?Reflective symmetry is a type of symmetry where one-half of the object reflects the other half of the object. It is also known as mirror symmetry. For example, in general, human faces are identical on the left and right sides. The wings of most butterflies are identical on both sides, the left and right sides.
Which figure has a reflection symmetry?Triangles with reflection symmetry are isosceles. Quadrilaterals with reflection symmetry are kites, (concave) deltoids, rhombi, and isosceles trapezoids. All even-sided polygons have two simple reflective forms, one with lines of reflections through vertices, and one through edges.
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solve for x 3/5=x/11 give your answer as an improper fraction in its simplest form
Answer:
[tex]\huge \boxed{x = \frac{33}{5} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \sf \frac{3}{5} =\frac{x}{11}[/tex]
Cross multiply.
[tex]\sf x \cdot 5=3 \cdot 11[/tex]
[tex]\sf 5x=33[/tex]
Divide both sides by 5.
[tex]\displaystyle \sf x = \frac{33}{5}[/tex]
The value is an improper fraction in simplest form.
The solution of the given fractions 3/5=x/11 in the improper fraction will be 6 3/5.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
As per the given,
3/5 = x/11
x/11 = 3/5
x = (3/5)11
x = 33/5
x = (30 + 3)/5
x = 30/5 + 3/5
x = 6 + 3/5 = 6 3/5
Hence "The solution of the given fractions 3/5=x/11 in the improper fraction will be 6 3/5".
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How does -2x + x equal -x ?
Answer:
See below.
Step-by-step explanation:
[tex]-2x+x=-x[/tex]
because we combine like terms. You will essentially ignore the x and just do -2 + 1, which is -1. So, the answer would be -1x which is simply just -x.
To see why we can combine like terms, use the distributive property. So we have:
[tex]-2x+x[/tex]
This is the same thing as saying:
[tex]=(-2)x+(1)x[/tex]
Factor out the x:
[tex]=x(-2+1)[/tex]
Add:
[tex]=x(-1)[/tex]
And simplify:
[tex]=-1x\\=-x[/tex]
Answer:
Step-by-step explanation:
-2x + x could also be written as x - 2x, which is x(1 - 2), or -x. Here we can rearrange the terms as we wish (commutative property).
2 x 2
3
Write in its simplest form
Answer:
[tex] \frac{2}{3} \times 2 \\ = \frac{4}{3} [/tex]
omitir
Step-by-step explanation:
_________________
In the underlined section, what do the colonists promise to do?
Answer:
obey the law :)
Step-by-step explanation:
Answer: Obey the law
Step-by-step explanation:
Qual o resultado da subtração dos dois polinômios abaixo? (2x2 + 4x) (–2x2 + x – 6)
Answer:
-4x^4-6x^3-8x^2-24x
Step-by-step explanation:
[tex]\left(2x^2+4x\right)\left(-2x^2+x-6\right)\\[/tex]
distribuir parênteses
[tex]=2x^2\left(-2x^2\right)+2x^2x+2x^2\left(-6\right)+4x\left(-2x^2\right)+4xx+4x\left(-6\right)[/tex]
Aplicar regras de menos mais ;[tex]+\left(-a\right)=-a[/tex]
[tex]=-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x[/tex]
simplificar
[tex]-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x:\\\quad -4x^4-6x^3-8x^2-24x[/tex]
Clarissa has taken 4 tests (100 points each) and has an average of 82.5 What score does she have to get on the next test in order to bring her average up to 85?
Answer:
Clarissa needs a 95
Step-by-step explanation:
4 x 82.5 = 330
Keep trying numbers to see if they work
330 + 95 = 425
425 / 5 = 85
How many turning points does this graph have? *
Answer:
5
Step-by-step explanation:
A turning point is the point where a graph changes from increasing to decreasing or decreasing to increasing.
Count up the points and there are 5!
Candy is sold 5 pieces for $2.50. What is the unit rate cost per piece of candy
Answer:
the unit rate is 0.50 per piece
Step-by-step explanation:
divide $2.50 by 5
Its chapter LCM .
After traveling every 84 km, a motorbike needs to fill petrol and after 120 km it needs to change Mobil. If these works are done together, after traveling what distance will both the works repeat again?
Answer:
Both works will be repeated at 840km
Step-by-step explanation:
Given
Fills Petrol = Every 84km
Change Mobil = Every 120km
Required
Determine the distance where both works are done at the same time
This solution to this question is to solve for the LCM of 84 and 120
Start by factoring 84
[tex]84 = 2 * 2 * 3 * 7[/tex]
Then, 120
[tex]120 = 2 * 2 * 2 * 3 * 5[/tex]
Then the LCM is as follows;
[tex]LCM = 2 * 2 * 2 * 3 * 5 * 7[/tex]
[tex]LCM = 840[/tex]
Hence, both works will be repeated at 840km
A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05 significance level.
H0: ? = 50
H1: ? = 50
What is the value of the test statistic?
What is the p-value?
A recent national survey found that high school students watched an average (mean) of 6.5 DVDs per month with a population standard deviation of 0.60 hour. The distribution of DVDs watched per month follows the normal distribution. A random sample of 33 college students revealed that the mean number of DVDs watched last month was 5.80. At the 0.05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?
What is the p-value?
Answer:
A) p = 0.230139
B) p = 0 .00001
There is not enough evidence to show that fewer DVDs a month than high school students
Step-by-step explanation:
A) The correct hypothesis are;
Null hypothesis;H0: μ = 50
Alternative hypothesis;H1: μ ≠ 50
We are given;
Sample mean; x' = 49
Standard deviation; σ = 5
Sample size;n = 36
Formula for the test statistic is given by;
z = (x' - μ)/(σ/√n)
z = (49 - 50)/(5/√36)
z = -1.2
So, from online p-value calculator from z-values as attached, using z-score of -1.2, significance level of 0.05, two tailed, we have;
p = 0.230139
B) we are given ;
x = 5.80
μ = 6.5
n = 33
Standard deviation;σ = 0.6
Significance level = 0.05
Hypotheses are;
Null hypothesis;H0: μ = 6.5
Alternative hypothesis; μ < 6.5
So, formula for the test statistic again;
z = (x' - μ)/(σ/√n)
z = (5.8 - 6.5)/(0.6/√33)
z = -6.7
from online p-value calculator z-values as attached, using z-score of -6.7, significance level of 0.05, one tailed tailed, we have;
p = 0 .00001
This is less than the significance level of 0.05, thus we will reject the null hypothesis and conclude that there is no evidence to show that fewer DVDs a month than high school students
Which digit is in the thousandths place 1.356.209
Answer:
9
Step-by-step explanation:
The thousandths place is the third digit after the decimal place. In this case, the digit in the thousandths place is 9. Note that this is the thousandths place, not the thousands place.
write 18/31 in simplest form. Use / for fraction line.
A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders g gold baseball trophies and u uniform baseball trophies. Write an expression that could represent the total cost of all of the trophies.
Answer:
y= 5.99(g) + 6.49(u)
Step-by-step explanation:
1) First you determine the variable in the equation $5.99, $6.49, g, and u.
2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.
3) Since you are finding the total you insert a plus sign.
The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u
Cost of gold baseball trophies = $5.99
Cost of uniform baseball trophies = $6.49
Number of gold baseball trophies ordered = g
Number of uniform baseball trophies ordered = u
Therefore, the total cost will be:
= (5.99 × g) + (6.49 × u)
C = 5.99g + 6.49u
Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u
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witch of the following is equivalent to -8-9(55+2x)
Answer:
-8-495-18x
Step-by-step explanation:
-8-9(55)-9(2x)
-8-495-18x
An agency is studying the income of store managers in the retail industry. A random sample of 25 managers reveals a sample mean of $45,420. The sample standard deviation is $2,050. Use 90% confidence level to determine the confidence interval.
Answer:
The Confidence Interval = ($44,745.55 , $46,094.45)
Step-by-step explanation:
The formula for Confidence Interval =
Confidence Interval = Mean ± z × Standard deviation/√n
Where n = number of samples = 25 managers
Standard deviation = $2,050
Mean = $45,420
z = z score of the given confidence interval
= z score of 90% confidence interval
= 1.645
Confidence Interval = $45,420 ± 1.645 × $2,050/√25
= $45,420 ± 1.645 × $2,050/5
= $45,420 ± 674.45
Confidence Interval =
$45,420 - 674.45 = $44,745.55
$45,420 + 674.45 = $46,094.45
Therefore, the Confidence Interval = ($44,745.55 , $46,094.45)
y is 8 less than the product of 9 and x
Answer:
[tex]\huge \boxed{y=9x-8}[/tex]
Step-by-step explanation:
The product is the result after multiplying two or more values together.
A number less than a value means that the number is subtracted from that value.
[tex]y=9 \cdot x-8[/tex]
[tex]y=9x-8[/tex]
2+49 divided by 7 i need help
As a quality control manager for her distributing company, Zoe has 875.23 pounds of apples where she found 143.875 pounds of apples were rotten. How many pounds of fresh apples does she have? show your work.
Answer:
731.355
Step-by-step explanation:
875.230 - 143.875 = 731.355
apples rotten fresh
HELP ASAP ROCKY!!! will get branliest.
Step-by-step explanation:
Haley: 10x + 155
brother: 230-15x
10x+155=230-15x
25x + 155 = 230
25x = 75
x = 3 weeks
10(3)+155= 30+155= $185 for Haley
230-15(3)= 230-45= $185 for brother
Water flows through a pipe at a rate of 7 liters every 9.5 hours. Express this rate of flow in pints per week. Round your answer to the nearest whole number
Answer:
Water flow per week = 124 liters
Step-by-step explanation:
Given:
Water flow in 9.5 hours = 7 liters
Find:
Water flow per week
Computation:
Water flow per hour = 7 / 9.5
Hours in a week = 7 × 24 = 168 hours
Water flow per week = Hours in a week × Water flow per hour
Water flow per week = 168 × [7 / 9.5]
Water flow per week = 123.7894
Water flow per week = 124 liters
Direct Variation - Guided Practice #3 - Karen earns $28.50 for working six hours. If the amount m she earns varies directly with h the number of hours she works, how much will she earn for working 10 hours? $57.00 $74.50 $47.50 $64.50 O
Answer:$47.50
Step-by-step explanation:First you need to find how much she earns per hour or the unit rate by dividing the money she earned (28.50) by the hours she worked(6) which equals to $4.75.Then you take that number and multiply it by the 10 hours which equals $47.50.