After his first month he had more than expected to have due to interest bank provided this that Rob come up with a better expression W squared over 25+45W +155 we’re W is the number of weeks how much will you have in one year
Rob will earn in one year $2603.16.
Given that,
After his first month, he had more than expected to have due to the interest the bank provided.
This let Rob come up with a better expression w²/25+45W +155 where W is the number of weeks how much will you have in one year is to be determined.
The equation is the relationship between variables and represented as y =ax +b is an example of a polynomial equation.
Here,
Given expression,
w² / 25 + 45w + 155
In i year w = 52
= 52²/25 + 45 * 52 + 155
= 2603.16
Thus, Rob will earn in one year $2603.16.
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What is the simplest form of 5/8 divided by 2 21/3
Answer:
[tex]= \frac{5}{72}[/tex]
Step-by-step explanation:
21/3 = 7
(5/8)÷(2 21/3)
2 21/3 = 2 + 21/3 = 2 + 7 = 9
then:
(5/8)÷(2 21/3) = (5/8)÷9 = 5 ÷ (8*9)
= 5/72
Is 635 a perfect cube? Check with your answer.
A pasta recipe calls for 3 cups of crushed
tomatoes, t, for every 1/4 of olive oil, v. What
equation can be used to represent this
relationship?
Answer: t=12v
Step-by-step explanation: 3t = 1/4v Find unit rate
1/3(3t) = 1t
1/3(1/4v) = 12v
Now let's check
if v = 1/4 then 12 x 1/4 =3
I explained it the best i could it prb doesn't help but i hope it does :D
In a unit circle, 0 = 3pi/2. What is the terminal point?
O A. (1,0)
O B. (0,1)
O C. (0, -1)
O D. (-1,0)
Option c - (0 , -1).
Terminal Point on the Unit Circle. To find the terminal point on the unit circle, start at (1, 0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.
In a unit circle, θ = 3π/2 radians.
r = 1
Angle θ = 3π/2
The terminal point is (rcosθ, rsinθ)
= (cos3π/2, sin3π/2)
cos3π/2 = 0
sin3π/2 = -1
= (0, -1)
Thus, for the unit circle 3π/2 = 0 ,the terminal points are (0, -1) . So the option C is the correct answer.
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A project is budgeted for 2400 hours and will last 3 weeks. Technicians will cover 25% of the project for the first week and then 60% for the final two weeks. If each technician normally works 40 hours per week, how many technicians are there?*
Using the percentage and hours, the total number of technician that was there is 42.
How to find the number of technicians that are there?The project is budgeted for 2400 hours and will last 3 weeks.
This means the whole project will last for 2400 hours for 3 weeks.
Technicians will cover 25% of the project for the first week and then 60% for the final two weeks.
This simply implies 25% of the project will be completed in the first week. Then 60% of the remainder of the project will be completed the final two weeks.
Each technician normally works 40 hours per week.
Therefore,
Number of hours for the first week = 25 % of 2400
Number of hours for the first week = 25 / 100 × 2400
Number of hours for the first week = 600 hours
Therefore,
number of technicians for the first week = 600 / 40
number of technicians for the first week = 15 technicians
Therefore,
Number of hours for the final two week = 60 % of (2400 - 600)
Number of hours for the final two week = 60 / 100 × 1800
Number of hours for the final two week = 1080 hours
Hence,
number of technicians for the final two week = 1080 / 40
number of technicians for the final two week = 27 technicians
Therefore, the total number of technician that was there is 42.
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How many times larger is (1.092 × 101) than (7 × 10−1)?
The answers: A. 0.156 B. 15.6 C. 6.41 D. 6.908
please helpppppppp
The correct option is A. 0.156. The number (1.092×10¹) is 156 times larger than number (7×10⁻¹).
What is defined as the scientific notations?Scientific notation is a method of writing extremely large or extremely small numbers. Whenever a number among 1 and 10 is multiplied by a power of 10, it is written in scientific notation. 650,000,000, for example, can be composed in scientific notation as 6.5× 10⁸.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number is expressed as the product of an amount that is equal to one but less than ten and an integral power of ten.For the given number;
The number 1.092×10¹ can be written as; 10.92 after multiplication with 10.
Similarly, the number 7×10⁻¹ can be written as 0.7 after diving with 10.
Now, divide larger number by 0.7
= 10.92/0.7
= 156
Thus, the number 1.092×10¹ is almost 156 time greater than (7×10⁻¹).
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Which is the order from least to greatest of the following: seventh fifths, 0.4, one eighth, seventy five percent?
0.4, seventy five percent, seven fifths, one eighth
one eighth, 0.4, seventy five percent, seven fifths
0.4, one eighth, seventy five percent, seven fifths
seventy five percent, one eighth, 0.4, seven fifths
The order from least to greatest of the numbers will be B. one eighth, 0.4, seventy five percent, seven fifths.
How to oder the numbers?It should be noted that 7/5 = 1.4
It should be noted that 1/8 = 0.125
It should be noted that 75% = 0.75
Therefore, the ordering of the numbers from least to greatest will be one eighth, 0.4, seventy five percent, seven fifths.
In conclusion, the correct option is B.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If p-1 is a factor of p4+ p²+ p-k the value of k is
The value of k for the given equation is k = 3.
What is defined as the factor?A factor is a number which divides another number by itself and leaves no remainder.
In the other words, whenever multiplying two whole numbers yields a product, the numbers being multiplied are factors of a product because the product is divisible by them.Factors can be found using two methods: multiplication and division. Furthermore, rules of divisibility might well be applied.The factor of a number is always less than as well as equal to the number; it is never greater than the number.With the exception of 0 and 1, every integer has at least two factors: 1 and the amount itself.For the given equation;
p⁴ + p² + p - k has the factor of p -1.
It means, for p = 1, is the roots of the equation and thus, must satisfy it.
Put p = 1 in the equation and put equal to zero.
p⁴ + p² + p - k = 0
1⁴ + 1² + 1 - k = 0
3 - k = 0
k = 3
Thus, the value of the k is found as 3.
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its 3 because i know its 3
The difference of the number of grades and the number of degrees of the same angle is 16. Find the number of degrees and grades of the angle.
Answer:
160 grades or 144 degrees================================
Relationship between grade and degree is:
100 grades is same as 90 degrees,or
100G = 90Dor
G = 90D/100G = 0.9DWe have angle x grades for which, the difference of grades and degrees is 16.
We can show this as:
x - 0.9x = 160.1x = 16x = 16/0.1x = 160The number of degrees is:
160 - 16 = 144What is the value of −163 − 18 − (−215)?
Answer:
34.
Step-by-step explanation:
-163 - 18 = -181
-181 - (-215) = 34.
Answer:
34
Step-by-step explanation:
-163-18-(-215)
-163-18+215
-181+215
34
(I tried my best, is this what your question was?)
the table shows the maximum and minimum account balances for three college students for one month Giovanni claimed that he had the least variation from maximum to minimum in his account balance that month is he correct? write a mathematical argument to justify your solution
Yes, it should be that.Giovanni's account balance has the least variation from maximum to minimum that month.
How to illustrate the information?It should be noted that the formula for calculating the variation is;
Balance difference = Maximum balance - Minimum balance.
For Jordan;
Maximum balance = $145.
Minimum balance = $-25
Balance difference = 145 - (-25) = $170
For Giovanni;
Maximum balance = $168.
Minimum balance = $15.
Balance difference = 168 - 15 = $ 153.
For Elisa;
Maximum balance = $152.
Minimum balance = $-10
Balance difference = 152 -(-10) = $162.
Therefore, for the data it is clear that the minimum account variation is for Giovanni which is $153.
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Landscaping boulders weigh 28 pounds each. Using b for the number of boulders and w for the weight, write an equation that relate the two variables.
Equation should begin with b =.
help
25:4 and 45:10 as a complex fraction
Complex fraction of 25 : 4 is 6 1/4.
Complex fraction of 45 : 10 is 4 5/10.
What is the Ratio?
A ratio is an ordered pair of numbers x and y, written x / y where b ≠ 0.
The ratios are given as;
25 : 4 and 45 : 10
Now, To write the ratios in complex fraction we use division method as;
25 : 4 = 25/4
_____
4 ) 25 ( 6
- 24
-----------
1
Hence, Complex fraction of 25 : 4 is 6 1/4.
And, For ratio 45 : 10;
45 : 10 = 45/10
10 ) 45 ( 4
- 40
---------
5
Hence, Complex fraction of 45 : 10 is 4 5/10.
Therefore, Complex fraction of 25 : 4 is 6 1/4.
Complex fraction of 45 : 10 is 4 5/10.
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The normal price of a laptop’s is 899€.In a sale, it’s price is reduced to 599.95€.How many percent is the discount?
Work Shown:
A = original price
B = final price
C = difference in price
C = A - B
C = 899 - 599.95
C = 299.05 <--- this is the amount you save
D = C/A
D = (299.05)/(899)
D = 0.3326
D = 33.26% approximately
A pilot flew a plane from an altitude of 6000 feet to an altitude of 18900 feet. What was the change in altitude?
Answer:
12,900
Step-by-step explanation:
18,900 - 6,000= 12,900
Use the function to evaluate the indicated expressions and simplify.
f(x) = 4x² + 3
f(x + 2) =
f(x) + f(2)=
The function to evaluate the expression is f(x)+f (2) =4x^2+22.
The function simplify () attempts to "simplify" the input expression by using clever heuristics.
⇒ f(x)=4x^2+3
⇒ f(x+2)=4(x+2)^2+3
by using algebra formula
⇒ f(x+2)=4(x^2+4+4x)+3
⇒ f(x+2)=4x^2+16x+19
by adding f(x)+f (2)
⇒ f(x)+f(2)=4x^2+3+(4×(2)^2 )+3
⇒ f(x)+f(2)=4x^2+3+(4×4)+3
⇒ f(x)+f(2)=4x^2+3+16+3
⇒ f(x)+f(2)=4x^2+22
There is a general function called simplify () that seeks to reduce an expression to its most basic form. Simplify in simply, this function is defined. reduce module.
Hence, the function to evaluate the indicated expressions and simplify f(x)=4x^2+3, f(x+2)=4(x+2)^2+3 and f(x)+f(2)=4x^2+22.
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> Read and try to solve the problem below.
Mei is building a raised bed in her garden to grow lettuce.
She wants the base of the bed to be a square with an area of
2 square meters. Find an approximate side length of the base
of the bed. Plot the value on the number line.
When Mei is building a raised bed in her garden to grow lettuce, it should be noted that the approximate length will be 1.4m.
How to illustrate the information?It should be noted that from the information, Mei is building a raised bed in her garden to grow lettuce and she wants the base of the bed to be a square with an area of 2 square meters.
Therefore, an approximate side length of the base will be the square root of the value will be:
= ✓2
= 1.41 m
Therefore, based on the information, the approximate length will be 1.4m.
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dino has a pizza with a diameter of
Based on the given parameters, the square box is big enough to fit the pizza?
How to determine if the square box is big enough to fit the pizza?The given parameters are:
Diameter of pizza = ten and one third inchesLength of square box = 10.38 inchesRewrite the parameters properly as:
Diameter of pizza = 10 +1/3 inches
Length of square box = 10.38 inches
Express the diameter as a numeral.
So, we have:
Diameter of pizza = 10 + 1/3 inches
Evaluate the sum
Diameter of pizza = 10.33 inches
By comparison:
10.33 inches is less than 10.38 inches
This means that the square box is big enough to fit the pizza
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Complete question
Dion has a pizza with a diameter of ten and one third inches.is a square box of 10.38 inches big enough to fit the pizza?
The equations of two lines are given. Determine whether the lines L₁ and L2 are parallel, perpendicular, or neither
4₁: y = x + 1; L₂: y = - 6/5x + 3
The slope of the two equations is required to answer this
What is an equation?
An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
Given equation
[tex]y=x+1[/tex] has slope [tex]m1=1[/tex]
and the other equation
[tex]-\frac{6}{5}x+3[/tex] has slope [tex]m2 =-\frac{6}{5}[/tex]
For parallel equations, [tex]m1=m2[/tex]
and for perpendicular equations, [tex]m1[/tex]x[tex]m2=-1[/tex]
These two equations are neither parallel nor perpendicular.
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Melissa Jackson, bookkeeper for Kinko Company, cannot prepare a bank reconciliation. The bank statement showed a $2,955.82 balance. Melissa’s checkbook showed a $3,301.82 balance. Melissa placed a $510.19 deposit in the bank’s night depository on June 30. The deposit did not appear on the bank statement. The bank included two DMs and one CM with the returned checks: $690.65 DM for NSF check, $8.50 DM for service charges, and $400.00 CM (less $10 collection fee) for collecting a $400.00 non-interest-bearing note. Check number 811 for $110.94 and check number 912 for $82.50, both written and recorded on June 28, were not with the returned checks. The bookkeeper had correctly written check number 884, $1,000, for a new cash register, but she recorded the check as $1,069. The May bank reconciliation showed check number 748 for $210.90 and check number 710 for $195.80 outstanding on April 30. The June bank statement included check number 710 but not check number 748.
Kinko's checkbook balance: $3,301.82 +Collection on notes receivable: $400,00 -Collection fee: $10.00 Notes-fee- $390.00 Error in recording: $69.00 Balance (Notes-fee)+Error= $3,760.82 -NSF Check: $690.65 -Service Charge: $8.50 Total in deduct: $699.15 Reconciled Balance: $3,061.67
Kinko's bank balance: $2,955.82
+Deposit in transit: $510.19 Balance+DIT= $3,466.01 -Outstanding checks (total): $404.34 Reconciled balance: $3,061.67
what is 11.273.26 in word form
Answer:one million one hundred and twenty-seven thousand three hundred and twenty-six
Step-by-step explanation:
Evaluate 1(8+12)-4)+5. (6-3)
Evaluate 1(8+12)-4)+5. (6-3) = 31
Solution :
PEMDAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents (degree or square roots) and later we do operations on multiplication & division and at last addition and subtraction.
BODMAS, BIDMAS and PEMDAS are acronyms for remembering the order of operations in mathematics. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction. BIDMAS and PEMDAS do exactly the same thing but using different words.
MDAS :
stands for Multiplication, Division, Addition, and Subtraction. It is part of the Order of Operations, a collection of rules that gives a sequence for simplifying mathematical operations. It is used when an expression or equation has more than one operation. According to the Order of Operations, all multiplication or division must occur before addition or subtraction. For example, the expression 6+4×5 involves addition and multiplication. According to MDAS, simplify the multiplication portion of the expression before adding. Since 4×5 equals 20, rewrite the expression as 6+20, which equals 26
= 1(8+12)-4)+5. (6-3)
= 20 - 4+5.3
= 16+15
=31
Answer:
Evaluate 1(8+12)-4)+5. (6-3) = 31
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a normal temperature for a certain animal is 73.9 F if a temperature x that differs from the normal
If a temperature differs from normal by x° F it will be 73.9° F ± x° F.
What is a mod function ?A mod function is defined as |x|= a which is x = a or - x = - a.
According to the given question a normal temperature for a certain animal is 73.9 F if a temperature x that differs from the normal it can be
73.9° F + x° F or 73.9° F - x° F which is
73.9° F ± x° F.
Because rise of temperature and fall of temperature is a temperature difference that differs from the normal temperature.
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Half of your baseball card collection got wet and was ruined. You bought 15 cards to replace some that were lost. How many did you begin with if you now have 55?
On solving the algebraic expression, the total cards present were 80.
An algebraic expression is what?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
the number of cards in the starting hand, let x
Total card = 55
(1/2)x + 15 = 55
By solving, we discover
x = 80 cards
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Hi can someone please help me with these!
Answer:
64=18
Step-by-step explanation:
Brian ran 17 miles in 2.5 hours. What was brian’s rate in miles per hour .
Marcus dives from the surface of the ocean to a reef 18 meters below sea level .what integer represents Marcus location relative to the surface?How far does Marcus have to go to return to the surface
The integer that represents Marcus location relative to the surface is -18 and Marcus has to go 18 meters to return to the surface
What integer represents Marcus location relative to the surface?The depth is given as
Depth = 18 meters below sea level
Below sea level is represented as negative
So, we have
Depth = -18
Hence, the integer that represents Marcus location relative to the surface is -18
How far does Marcus have to go to return to the surfaceThe distance to return to the surface is
Distance = |Depth|
This gives
Distance = |-18|
Evaluate
Distance = 18
Hence, Marcus has to go 18 meters to return to the surface
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Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
At a candy store, Emilia bought 5 pounds of jelly beans and 4 pounds of gummy worms for
$61. Meanwhile, Jessica bought 3 pounds of jelly beans and 4 pounds of gummy worms for
$43. How much does the candy cost?
A pound of jelly beans costs $___
and a pound of gummy worms costs $____
Answer:
The last one
Step-by-step explanation:
An insurance agent has a list of 7 prospects and decides to telephone 3 of the prospects today and the other 4 prospects tomorrow. In how many different ways can the agent telephone the prospects?
The number of different ways the agent can telephone the prospects = 1020
In this question, an insurance agent has a list of 7 prospects and decides to telephone 3 of the prospects today and the other 4 prospects tomorrow.
We need to find the number of different ways the agent can telephone the prospects.
We use the formula of permutation.
^n(P_r) = n! / (n - r)!
where n! = n × (n - 1) × (n - 2) × . . . × 1
For this question, n = 7
The number of different ways the agent can telephone the prospects today.
We use r = 3
^7n(P_3)
= 7! / (7 - 3)!
= 210
And the number of different ways the agent can telephone the prospects tomorrow.
We use r = 4
^7n(P_4)
= 7! / (7 - 4)!
= 810
so, the number of different ways the agent can telephone the prospects = 210 + 810
= 1020
Therefore, the number of different ways the agent can telephone the prospects = 1020
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