how much times do you intend to multiply 5
Step-by-step explanation:
e.g. 5⁴
(5×5×5×5)
you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
answer this if you want to be the brain list master
Answer:
3,240 / 9= 360\
360 boxes
Step-by-step explanation:
Answer:
360 boxes were used.
Step-by-step explanation:
Find the value of x that will make k∥m
Answer:
x=12
Step-by-step explanation:
these 2 angles are equal to each other so we set the equations equal to each other
4x+11=6x-13
-4x. -4x
11=2x-13
+13. +13
24=2x
/2. /2
12=x
Hopes this helps please mark brainliest
Answer:
12= x
Step-by-step explanation:
If k is parallel to m, then the angles shown are alternate interior angles and they will be equal to each other.
4x+11 = 6x-13
Subtract 4x from each side
4x+11-4x = 6x-13-4x
11 = 2x-13
Add 13 to each side
11+13 = 2x-13+13
24 = 2x
Divide each side by 2
24/2 = 2x/2
12= x
2 Question 3 3.1 The layout plan of the copy room at Hills Secondary is given below.
3.1 justify a reason whether or not copier is suitably placed in room (3)
Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.
To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.
Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.
However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.
Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.
Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.
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Type an equation for the following pattern.
Answer:
y=28x+0
Step-by-step explanation:
In each row of the table, y is 28 times the value of x.
Nick is selling software and earns 12% of his sales as a commission If he sells a total of $668 in software this week, how much is his commission
Answer: $80.16 ($748.16)
Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12
(i'm doing your math in the middle of my math class. you're welcome.)
0.02 divided by 924.3
Answer: 0.00002163799
Step-by-step explanation:
Answer:
46,215
Step-by-step explanation:
you just have to divide the bigger number first and then the smallest
What is the slope of the line shown?
The slope of the line shown is -2.
Option D is the correct answer.
We have,
Take two coordinates from the graph.
(0, 7) and (2, 3)
Now,
Slope.
= (3 - 7) / (2 - 0)
= -4/2
= -2
Thus,
The slope of the line shown is -4/2.
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The actual weight of a 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given the information, the probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.
Answer:
False
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean equal to 2.04 pounds and a standard deviation of 0.25 pounds.
This means that \(\mu = 2.04, \sigma = 0.25\)
The probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.
We have to find 1 subtracted by the vpalue of Z when X = 2.4. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.4 - 2.04}{0.25}\)
\(Z = 1.44\)
\(Z = 1.44\) has a pvalue of 0.9251
1 - 0.9251 = 0.0749
The probability is 0.0749, which means that the answer is False.
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
Mrs. Isabelle is making paper and plastic foam animals for her first-grade class. She is calculating the amount of wasted materials for environmental and financial reasons.
Mrs. Isabelle is cutting circles out of square pieces of paper to make paper animals in her class. Enter the polynomial that represents the amount of paper wasted if the class cuts out the biggest circles possible in squares of length l.
Answer:
r4*65879877666666766
PLEASEE I BEG YOU!!!!!!
Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?
Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.
Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.
La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.
Step-by-step explanation:
Kindly solve the following with the cirrect method .SOLVE ALL . I'll give brainliest + thanks + follow
The following percentages are listed below:
12.5 %40 %6.25 %6.667 %41.667 %75 %How to use percentages in real life situationsIn this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:
x = r / r' × 100 (1)
Where:
r - Real quantityr - Maximum quantityNow we proceed to determine quantities related to percentages:
2.8 mm as a per cent of 2.24 cm
x = (2.8 mm / 22.4 mm) × 100 %
x = 12.5 %
What per cent of 1.5 m is 60 cm?
x = (60 cm / 150 cm) × 100 %
x = 40 %
What per cent of 2 kg is 125 g?
x = (125 g / 2000 g) × 100
x = 6.25 %
What per cent of R 6 to 40 p?
x = (40 / 600) × 100
x = 6.667 %
What per cent of a day is 10 h?
x = (10 h / 24 h) × 100
x = 41.667 %
What per cent of 7 1 / 3 m in 5 1 / 2 m ?
x = [(11 / 2) / (22 / 3)] × 100 %
x = 75 %
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Consider a value to be significantly low if its z score less than or equal to minus2 or consider a value to be significantly high if its z score is greater than or equal to 2. A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.45961 g and a standard deviation of 0.05215 g. Identify the weights that are significantly low or significantly high. What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.
Answer:
lowest score is 5.35531
highest score is x=5.45961
Step by step Explanation:
· A Z-score reffered to as a numerical measurement that identifies a value's relationship to the mean of a group of values. Z-score is usually measured in terms of standard deviations from the mean.
We were to Consider a value to be significantly low if its z score less than or equal to minus2 or consider a value to be significantly high if its z score is greater than or equal to 2
the z-score is given by:
z-score=(x-μ)/σ
where:
x=score
μ=mean=5.45961
σ=std deviation=0.05215
To calculate the lowest cost when the the z-score is -2, we have
\(-2=(x-5.45961)/0.05215\)
To get the value of x then we collect like terms
-0.1043 = =(x-5.45961)
x=-0.1043 + 5.45961
\(X=5.35531\)
therefore, the lowest score is 5.35531
Let us calculate the highest score when the z-score is 2 ,
then highest score will be:
\(2=(x-5.45961)/0.05215\)
To get the value of x then we collect like terms
0.1043 = =(x-5.45961)
x=0.1043 + 5.45961
\(X=5.45961\)
therefore the highest score is x=5.45961
Deepak is choosing a password for his phone using letters from the alphabet, A-Z. The password must be four letters long, and he can repeat letters. How many different passwords can he create?
Answer: 26 × 4
Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.
Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.
Answer:
B. 26⁴
Step-by-step explanation:
If the password is 4 letters long and he can repeat letters then:
1st letter: any one of the 26 letters from the alphabet2nd letter: any one of the 26 letters from the alphabet3rd letter: any one of the 26 letters from the alphabet4th letter: any one of the 26 letters from the alphabetTherefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:
⇒ 26 × 26 × 26 × 26 = 26⁴
QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer
Step-by-step explanation:
=3/0.05
=60ans.
mark me as a brainlist plz.
the answer is 60
You can solve it in calculator
Find the surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm.
The surface area of a right square pyramid if the area of the base is 169 cm² and the slant height of the pyramid is 13 cm is 507 cm².
Calculating the surface area of square pyramidWe know that the area of the square base is 169 cm², so we can solve for the length of one side.
To find the length, we use the formula for the area of a square:
Area = length x length
169 = length²
Taking the square root of both sides, we get:
length = √169
= 13 cm
Now we can use the formula for the surface area of a square pyramid:
Surface area = area of base + (1/2)perimeter of base x slant height
The perimeter of the base is 4 times the length of one side, so it is:
perimeter of base = 4 x length = 4 x 13 cm = 52 cm
Plugging in the values we have:
Surface area = 169 cm² + (1/2)(52 cm)(13 cm)
Surface area = 169 cm² + 338 cm²
Surface area = 507 cm²
Therefore, the surface area of the right square pyramid is 507 cm².
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On a map, 2 inches represent 35 miles. How many inches would 105 miles be
Answer:
6 inches
Step-by-step explanation:
105÷35=3
3x2=6
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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The expression (g^2)^4 is equivalent to g^m. What is the value of m?
^ means exponents
Answer:
m = 8
Step-by-step explanation:
4 x 2
you just have to multiply exponents
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Bucket contains 425 mL of water. The capacity of water in the bucket decreases 4.8% each hour. Which equation models the situation?
Answer:
\(V(t) = 425(0.952)^{t}\)
Step-by-step explanation:
The amount of water in the bucket after t hours, in mL, can be modeled by an equation in the following format:
\(V(t) = V(0)(1-r)^{t}\)
In which V(0) is the initial amount, and r is the constant decay rate, as a decimal.
Bucket contains 425 mL of water.
This means that \(V(0) = 425\)
The capacity of water in the bucket decreases 4.8% each hour.
This means that \(r = 0.048\)
So
\(V(t) = V(0)(1-r)^{t}\)
\(V(t) = 425(1-0.048)^{t}\)
\(V(t) = 425(0.952)^{t}\)
During a charity walk, lunch was served from 12:00 PM until 2:10 PM. How long was lunch served?
Answer:
2 hours and 10 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 hours and 10 mins!
Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
A dog shelter is giving away 19 different dogs, but you have room for only 4 of them. How many different dog families could you create?
The 19 tykes given away by the Shelter, that have room for only 4 tykes per family.
The number of different canine families that could be created from the 19 tykes given away by the sanctum, we need to calculate the number of combinations. room for only 4 tykes , we need to choose 4 tykes from the aggregate of 19 tykes . The order of the tykes in the family doesn't count, as long as we choose different tykes for each family. The number of combinations can be calculated using the formula for combinations C( n, r) = n!/( r!( n- r)!) Where C( n, r) represents the number of combinations of choosing r particulars from a set of n particulars. In this case, we've n = 19( total number of tykes ) and r = 4( number of tykes per family). Plugging these values into the formula, we get C( 19, 4) = 19!/( 4!( 19- 4)!) Calculating the factorial values 19! = 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = ! = 4 × 3 × 2 × 1 = 24 15! = 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = Substituting these values into the formula C( 19, 4) = /( 24 ×) ≈ 91,390 The 19 tykes given away by the sanctum, considering that you have room for only 4 tykes per family.
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Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)
I need help fast I’ll really appreciate it.
Answer:
11 : 8
Step-by-step explanation:
3 + 8 = 11
Answer:
11:8
Step-by-step explanation:
I think i may be wrong I hope this is right
Could i get an explanation with that answer, thanks :)
The total cash due at signing is $3399. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The four fundamental operations, often known as "arithmetic operations," are said by mathematicians to be able to describe all real numbers. Divide, multiply, add, and subtract are the four mathematical operations that, respectively, result in quotient, product, sum, and difference.
We are given lease terms at the local dealership as
Length of lease = 36 months
MSRP of the car = $22,500
Purchase value of the car after lease = $17,500
Down payment = $1999
Monthly payment = $425
$475 security deposit
$500 acquisition fee
Now, the total cash due at signing (including the first monthly payment) is as follows:
$1999 + $425 + $475 + $500 = $3399
Hence, the total cash due at signing is $3399.
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