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Step-by-step explanation:
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Ian deposited $1,000 into an account that earns 5% simple annual interest. Jackson deposited $1,000 into an account that earns 5% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which investment earns more interest after 10 years? How much more interest?
Ian earned $500 in simple annual interest after 10 years, while Jackson earned $1,128.89 more in interest than Ian after 10 years due to compound interest.
Ian's account earns simple annual interest, which means that he earns 5% interest on his initial deposit every year. After 10 years, he will have earned
interest = principal x rate x time
interest = 1000 x 0.05 x 10
interest = $500
Jackson's account earns interest that is compounded annually, which means that he earns 5% interest on his initial deposit plus any interest that has already been earned every year. After 10 years, he will have earned
\(balance = principal x (1 + rate)^{time}\)
balance = 1000 x (1 + 0.05)¹⁰
balance = $1,628.89
To find out how much more interest Jackson earned than Ian, we need to subtract the interest Ian earned from the balance in Jackson's account
$1,628.89 - $500 = $1,128.89
Therefore, Jackson earned $1,128.89 more in interest than Ian after 10 years.
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Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15
Answer:
1st
Step-by-step explanation:
You need to add the numbers and then dicuvde by how many numbers are there.
Answer:
16
Step-by-step explanation:
"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.
16 + 14 + 14 + 21 + 15 = 80
80 ÷ 5 = 16
Find the product of polynomials (First Screenshot)
Problem 1.5 (Second Screenshot)
Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.
what is polynomials ?A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.
given
Multiply each combination of terms:
Combine like terms.
3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=
3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.
Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.
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I need help with this PLEASE!!!
Answer:
See the image for marked congruences.
1. JM ≅ LM | Given
2. △JML is isosceles | definition of isosceles
3. ∠MJL ≅ ∠MLJ | isosceles triangle theorem
4. m∠MJL = m∠MLJ | definition of ≅
5. JK ≅ LK | Given
6. △JKL is isosceles | definition of isosceles
7. m∠KJL = m∠KLJ | isosceles triangle theorem
8. m∠MJL + m∠KJM = m∠KJL | adjacent angle theorem
9. m∠MLJ + m∠KMJ = m∠KLJ | adjacent angle theorem
10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM | transitive property of =
11. m∠MJL + m∠KJM = m∠MJL + m∠KLM | substitution
12. m∠KJM = m∠KMJ | subtraction
13. ∠KJM ≅ ∠KLM | definition of ≅
14. △KJM ≅ △KLM | SAS theorem
15. ∠JKM ≅ ∠LKM | CPCTC
16. KM bisects ∠JKL | definition of bisector
The price of a gallon of unleaded gas has dropped to $2.78 today. Yesterday's price was $2.85. Find the percentage
decrease. Round your answer to the nearest
tenth of a percent.
Answer:
$0.07, 10%
Step-by-step explanation:
$2.85 - $2.78 = $0.07. First, subtract the numbers like the decimal isn't there. Then, you circle all the numbers to the right of the decimals after you have your answer. Count the circled numbers and write a decimal point at the right, there should be three circled numbers, those numbers are how many times you are going to put the decimal points to the right. Your answer should be 0.07. That rounds to ten, therefore your answer is 10%.
Jose gets his hair cut for $12. He gives his barber a
15% tip. How much does he give the barber for a tip?
(Plz help me)
Answer:
he would pay $13.80 the tip is $1.80
Step-by-step explanation:
2. (08.01 MC)A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)15 in 320 in 325 in 330 in 3
We must first assume that the base of the cone and the cylinder hvae tha same base shape and size.
The volumen of a cone is equal to one third of the volumen of the cylinder, whose base and height are equal those of the cone:
Therefore:
\(V_{\text{cone}}=\frac{1}{3}V_{cylinder}\)replacing:
\(\begin{gathered} 5=\frac{1}{3}V_{cylinder} \\ V_{cylinder}=5\cdot3 \\ V_{cylinder}=15 \end{gathered}\)The answer is 15 in^3
it takes 1 minute to bake 6 cookies how many cookies could you bake in 2 minutes
Solve x2 – 8x + 15 < 0.
Select the critical points for the inequality shown.
Answer:
x=3,5
Explanation:
x2−8x+15=0
Try to express the terms of the equation in square form.
Adding 16 both sides of the equation,
(x2−2⋅x⋅4+42)+15=16
or,(x−4)2+15−16=0
or,(x−4)2−1=0
or,(x−4)2−12=0
This is the a2−b2=(a+b)(a−b)form.
(x−4+1)(x−4−1)=0
or,(x−3)(x−5)=0
Now, equate both the terms to zero since both of them when multiplied, give zero.
Either,
x−3=0
∴x=3
Or,
x−5=0
∴x=5
Ans:x=3,5 Hope this helpsXD...!!
Answer:
3<x<5
Step-by-step explanation:
an Univariate quadratic polynomial can be divided into the product of two first order equations
In this example, x2 - 8x + 15 = (x-3) * (x-5) <0
as a result. the answer is 3< x <5
What is the y intercept of the line?
-3
1
5
-2
Use the diagram to the right. Is the statement true?
<5 and <1 are complementary
Answer:
D. No, because they are supplementary.
Step-by-step explanation:
5 and 1 make a straight line, meaning when they are combined, they are supplementary which means they have a sum of 180 degrees.
Answer:
D. No, because they are supplementary.
Step-by-step explanation:
Elimination of Answers:
A. Just doesn't make since bc their not opposite.
B. Complementary means the angles add up to 90⁰
C. The angles do not have a sum of 90⁰ they have a sum of 180⁰
:)
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
The inequality 5m-7 > 16 holds true for all numbers than in set {1,2,3,4,5,6,7,8,9,10}
Answer:
Greater than 4
Eight friends divide seven bags of apples equally between them. Enter the division represented by this situation as a fraction.
Answer:
THERE
Step-by-step explanation:
Answer:
Step-by-step explanation:
let's name the bag of apples "\(x\)"
they have 7 bags of apples: 7\(x\)
then they need to divide it among 8 people: so each person gets \(\frac{7x}{5}\) or \(\frac{3}{5} x\)
Help its due today and I'm stuck on this question
Convert 75 gram per cm 3 to pounds per cubic inch (round to nearest tenth) [ 1 pound = 0.4536 kg] [ 1 cm = 0.3937 in] [ 1 kg = 1000g] (Show your work)
2.07 pounds/in 3
1.7 pounds/in 3
2.7 pounds/in 3
3.2 pounds/in 3
Answer:
It’s 2.07 pounds/in 3
Step-by-step explanation:
1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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I need help with this math
Answer:
1. is 8/15 2. is -4.7 3. is 15.68 4. is -7/24 5. is -9/4 6. is 6.9 7. is 3/5 and hold on I'll get 8 9 and 10 for you
Answer:
1. 8/15 H
2. -4.2 U
3. 15.68 I
4. -7/24 R
5. -5 1/2 E
6. 6.9 T
7. 3/5 Q
8. 5 2/3 0
9. -25.38 A
10. -2 1/2 S
It has square roots
Step-by-step explanation:
The decimal 0.016 is equivalent to what percent?
Answer:
the answer is 1.6%
Step-by-step explanation:
0.016 × 100/100 =
0.016 × 100% =
(0.016 × 100)% =
1.6%
hope this helps : )
Answer:
\(1.6\%\)
Step-by-step explanation:
\(0.016 = \frac{16}{1000} \)
let's write this fraction as a percentage
\( \frac{16}{1000} \times 100\% \\ = 1.6\%\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?
How many times larger is (1.064 x 101) than (7 x 10−1)?
0.152
15.2
6.58
7.448
Answer:
is 15.2
Step-by-step explanation:
2. x + 12 =23
3. X-6 = 13
4. X-9 = 14
5. 2x = 12
6. 3x = 30
Answer:
2. x = 11
3. x = 19
4. x = 23
5. x = 6
6. x = 10
Step-by-step explanation:
2. x + 12 =23
x = 23 - 12
x = 11
3. x - 6 = 13
x = 13 + 6
x = 19
4. x - 9 = 14
x = 14 + 9
x = 23
5. 2x = 12
x = 12/2
x = 6
6. 3x = 30
x = 30/3
x = 10
PLEASE HELP !!! ONLY AN HOUR LEFT
Answer: arc ef is 68
Step-by-step explanation:
Since EF and FG are the same length (given)
and DE and DG are the same length (both are radius of the circle)
and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68
The measure of an arc is the same as the measure of the angle across from it
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTA function is shown below
g(x) = 19.60 + 1.74
What is the value of x when g(x) = 28.3
Answer:
Step-by-step explanation:
It’s 5
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6
Conduct the following test at the alpha = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling.
Test whether p1 not equals p2. Sample data are x1 = 28, n1 = 254, x2 = 38, and n2 = 301.
Answer:
a) H0: p1 - p2 = 0
H1: p1 - p2 ≠ 0
b) z=-0.58
c) p-value = 0.562
Step-by-step explanation:
We need to determine whether p1 is not equals p2, so the null and alternative hypothesis are:
H0: p1 - p2 = 0
H1: p1 - p2 ≠ 0
Where p1 and p2 are the proportions of the population. Additionally, the proportions of the sample p1' and p2' are calculated as:
\(p1'=\frac{x1}{n1}=\frac{28}{254}=0.1102\\p2'=\frac{x2}{n2}=\frac{38}{301}=0.1262\)
Then, the test statistic is calculated using the following equation:
\(z=\frac{(p1'-p2')-(p1-p2)}{\sqrt{p'(1-p')(\frac{1}{n1}+\frac{1}{n2})} }\)
Where p' is calculated as:
\(p'=\frac{x1+x2}{n1+n2}=\frac{28+38}{254+301}=0.1189\)
So, replacing the values, we get that the test statistic is:
\(z=\frac{(0.1102-0.1262)-(0)}{\sqrt{0.1189(1-0.1189)(\frac{1}{254}+\frac{1}{301})}}=-0.58\)
Finally, using the standard normal table, the p-value is equal to:
\(p-value=2*P(z<-0.58)=2*0.281=0.562\)
The p-value is greater that the value of alpha 0.1, so we can't reject the null hypothesis and there is evidence to said that p1 and p2 are equals.
The price of an item was R227.87 after 14% VAT.In the meantime the VAT increased to 15%.What was the price of that item after 15% VAT? Give the answer to the nearest 5 cent
Answer:
R 257.85 is the price after 15% VAT.
Explanation:
price of the item after putting vat: 100% + 14% = 114%
114% → 227.87
1% → \(\frac{227.87}{114}\)
100% is always the original price.
100% → \(\frac{227.87}{114}\) * 100
100% → R 199.89
The original price was R 199.89
The VAT was again increased to 15%: 114% + 15% → 129%
129% → 129 * \(\frac{227.87}{114}\)
129% → R 257.85
The price after 15% VAT put is R 257.85.
Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which
statement is TRUE about the experimental and theoretical probabilities?
A)The theoretical probability for rolling a 3 is the same as for rolling a 6.
B)The theoretical probability for rolling a 3 is greater than for rolling a 6.
C)The experimental probability for Aaron's tries is the same as Michelle's
tries.
D)The experimental probability for Aaron's tries is less than the experimental
probability for Michelle's tries.
Answer:
Pretty sure its D lemme know if I'm right
Question 1 of 10
Which expressions are equivalent to the one below? Check all that apply.
log 2-log 4
A. log(¹)
B. log 1
C. log(2) + log(¹)
D. log 2
"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).
The expression "log 2 - log 4" can be simplified using logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."
The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:
A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.
B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.
C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.
D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.
Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.
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Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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