Ali has $60 in her lunch account and pay $3 each day to eat lunch. Which equation
can be used to find the amount of money Ali has left on her account after x days?
Answers
Answer:
60-3x
Step-by-step explanation:
if she starts out with 60 dollars and uses 3 every day you can set up the equation like so:
(60) the amount of money she has
(3) how much each meal costs
(x) the number of days she ate lunch
60-3x
This is your answer
Hope this Helps!
Related Questions
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
Answers
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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You pick a marble, roll a die, and pick a card. How many outcomes are possible?
Answers
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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i need help with some questions
Answers
Answer:
I will try doing it
Step-by-step explanation:
which are the questions
Which equation is true?
Answers
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Answers
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
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Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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A stock just paid a dividend of $1.19 - that is to say D0 = $1.19. The required rate of return is rs = 15.14%, and the constant annual growth rate in dividends is 5.87%.
Answers
Therefore, the price of the stock based on the dividend discount model is $16.77.
What is discount?A discount is a reduction in the price of a product or service that is typically offered to customers in order to encourage them to make a purchase. Discounts are usually expressed as a percentage off the original price, and can be offered for a variety of reasons, such as to clear out inventory, reward customer loyalty, or attract new customers.
Given by the question.
Using the dividend discount model, we can find the price of the stock based on the information given:
P0 = D1 / (rs - g)
Where:
D0 = $1.19 (the dividend just paid)
g = 5.87% (the constant annual growth rate in dividends)
rs = 15.14% (the required rate of return)
First, we need to find D1, the dividend expected one year from now:
D1 = D0 * (1 + g) = $1.19 * (1 + 0.0587) = $1.26
Now we can use the formula to find P0:
P0 = $1.26 / (0.1514 - 0.0587) = $16.77
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Anjali wrote a 30-item multiple choice exam and answered every question. She got 8 points for each correct item. She lost 2 points for each incorrect item. Her total score was 150 points. How many items did she answer correctly?
Answers
She did 21 question correctly.
Correct Answer :Let number of correct answers : x
Let number of wrong answer : y
Given, Total question wrote : 30
So,
x + y = 30 (i) - equation
Got 8 point on each correct answer, total point : 8*x
Got -2 point on each wrong answer, total point : (-2)*y
Total point she score was : 150 (given)
so, our next equation is
8*x - 2*y = 150 (ii) - equation
y = 30 - x [from (i) - equation]
put in (ii) - equation, we get
8*x - 2*(30 - x) = 150
8*x - 60 + 2*x = 150
10*x = 210
x = 21
Therefor, only 21 answers are correct.
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Write the following expression in standard notation.
9.688×10−11
0.00000000009688
0.000968
968,000
968,800,000,000
Answers
Answer:0.00000000009688
Step-by-step explanat
what percent of 88 is 33?
Answers
Answer:
37.5
Step-by-step explanation:
Which expression is equivalent to the expression quantity negative 6 over 5 times t plus 3 over 16 end quantity minus expression quantity negative 7 over 10 times t plus 9 over 8 end quantity?
13 over 10 times t plus 12 over 16
1 over 10 times t plus 6 over 16
negative 5 over 10 times t plus 21 over 16
negative 5 over 10 times t minus 15 over 16
Answers
The equivalent of the expression [-(6/5)t + 3/16] - [-(7/10) + 9/8] will be - (5/10)t - 15/16. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [-(6/5)t + 3/16] - [-(7/10) + 9/8]
Simplify the equation, then we have
⇒ [-(6/5)t + 3/16] - [-(7/10) + 9/8]
⇒ -(6/5)t + (7/10)t + 3/16 - 9/8
⇒ -(5/10)t - 15/16
The equivalent of the expression [-(6/5)t + 3/16] - [-(7/10) + 9/8] will be - (5/10)t - 15/16. Then the correct option is D.
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Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the
point (-10, 1)
Answers
Answer:
y = - 2/5x + 7/5
Step-by-step explanation:
5y = -2x + 15
y = - 2/5x + 15/5
y = - 2/5x + 3
Slope: - 2/5
b = 1 - (- 2/5) (1)
b = 1 + 2/5 = (1*5+2)/5
b = 7/5
y = - 2/5x + 7/5
Determine if the given functions are inverse functions.
g(x) = 4 - 3/2x
f(x) = 1/2x + 3/2
Answers
Answer: ( f + g ) ( 2 ). Solution. Step 1. Find ( f + g ) ( x ). Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;. ( f + g ) ( x ) = ( 2x + 1 ) + (x. 2. + 2x – 1 ). = 2x + 1 + x. 2. + 2x – 1. = x. 2. + 4x. Step 2. Find ( f + g ) ( 2 ). To find the solution for ( f + g ) ( 2 ) ... ( f – g ) ( 2 ) = 3 (2) – 6.
The scores on one portion of a standardized test are approximately Normally distributed, N(572, 51). a. Use the 68-95-99.7 rule to estimate the range of scores that includes the middle 95% of these test scores. b. Use technology to estimate the range of scores that includes the middle 90% of these test scores.
Answers
Answer:
a) The range of scores that includes the middle 95% of these test scores is between 470 and 674.
b) The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.
Step-by-step explanation:
68-95-99.7 rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Z-score:
Problems of normally distributed samples are 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.
In this question:
Mean \(\mu = 572\), standard deviation \(\sigma = 51\)
a. Use the 68-95-99.7 rule to estimate the range of scores that includes the middle 95% of these test scores.
By the 68-95-99.7 rule, within 2 standard deviations of the mean.
572 - 2*51 = 470
572 + 2*51 = 674
The range of scores that includes the middle 95% of these test scores is between 470 and 674.
b. Use technology to estimate the range of scores that includes the middle 90% of these test scores.
Using the z-score formula.
Between these following percentiles:
50 - (90/2) = 5th percentile
50 + (90/2) = 95th percentile.
5th percentile.
X when Z has a pvalue of 0.05. So when X when Z = -1.645.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.645 = \frac{X - 572}{51}\)
\(X - 572 = -1.645*51\)
\(X = 488.1\)
95th percentile.
X when Z has a pvalue of 0.95. So when X when Z = 1.645.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.645 = \frac{X - 572}{51}\)
\(X - 572 = 1.645*51\)
\(X = 655.9\)
The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.
A piecewise function is given.
Find f(-4)
Answers
Answer:
3
Step-by-step explanation:
For x<=0, f is constant: f(x) =3
-4<0, so f(-4)=3
HELPPPPP ME PLEASEEEE
the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3
Answers
I need this for math homework anyone on tonight to help? 5/8 = x/12 x=
Answers
x = 15/2
do u need an explanation?
9.
Modeling Real Life Owls see an
object with both eyes at the same
time using binocular vision. What angle
measure describes the owl's binocular
vision? Explain.
binocular
vision
left
right
monocular,
monocular '
vision
vision
110°
Answers
The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.
Which of the following numbers is the smallest
Answers
The smallest number from the folowing option is A . 0.0082.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The given numbers are;
0.0082
1/3
0.048
0.36
1/9
thus, The smallest number from the folowing option is A . 0.0082.
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An unknown number becomes 30 when rounded to the nearest ten. Which could NOT be the unknown number?
A. 24
B. 25
C. 28
D. 31
Answers
Answer:
A. 24
Step-by-step explanation:
Five and above rounds up
so 25,26,27,28,29 rounds up to 30
We leave it alone when 4 or less
34,33,32,31,30 remains at 30
24 would not round to 30
Given: ∠AOC and ∠BOC are complementary. m∠AOC=m∠BOC+30°. Find: m∠AOC and m∠BOC
Statement Reason
1. m∠AOC+m∠______ = ______ 1. _____________
2. m∠______ + ______ +m∠BOC=90° 2. Substitution
3. m∠BOC = _________ 3. Algebra
4. m∠AOC = _________ 4. Algebra
Answers
Answer:
Statement Reason
1. m∠AOC+m∠COB= 90° 1. complementary angles
2. m∠30° + BOC+m∠BOC=90° 2. Substitution
3. m∠BOC = 30° 3. Algebra
4. m∠AOC = 60° 4. Algebra
I think I got it
Weston used the steps below to determine the percent equivalent to StartFraction 1 Over 40 EndFraction
Step 2: StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. Multiply both sides by 2.5.
Step 3: 1 times 2.5 = 2.5
Step 4: StartFraction 2.5 Over 100 EndFraction = 25%
What was Weston’s ethe second fraction should have been out of a multiple of 40.
Answers
Weston's second fraction should have been 0.25.
How do we convert 1/40 to a percentage?Percentage can be described as a fraction out of an amount expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to denote percentages is %.
1/40 x 100 = 2.5%
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1. What is the equation of a line parallel to y = x + 2 that passes through (1, 2)?
Answers
Answer:
y=x+1
Step-by-step explanation:
if it passes through (1,2), the y-intercept will be 1 and the slope will stay the same is the equation will be y=x+1
Evaluate a - 13 when a = 33.
(a) 46
(b) 20
(c) -46
(d) -20
Answers
Answer:
(b) 20
Step-by-step explanation:
We are trying to solve a-13 = ____ for when a=33.
Substitute 33 for a.
33-13 = 20
the answer is b) 20
Choose the three correct answers below
3 points
Evaluate the function when x = -3, -2, and 1.
g(x) = -x^2- 7
-8
-3
5
-16
-11
6
Answers
Answer:
A, D, and E
Step-by-step explanation:
Just put it into Mathaway and it gave me the answer. Hope this helps!
Tom’s total payment for his loan was $15,264. He paid it off after making 72 monthly payments.
What was his monthly payment?
Responses
$212
$228
$236
$242
Answers
Answer: We can use the formula for the total amount of a loan with fixed monthly payments:
A = P * ( (1 + r)^n - 1 ) / r
where A is the total amount, P is the monthly payment, r is the monthly interest rate, and n is the number of payments.
Since the loan amount and number of payments are known, we can solve for P:
P = A / ( (1 + r)^n - 1 ) * r
Using an estimated monthly interest rate of 0.01 (or 1%), we can calculate the monthly payment:
P = 15264 / ( (1 + 0.01)^72 - 1 ) / 0.01
P = $212.
So the monthly payment was approximately $212.
Step-by-step explanation:
Students were asked to prove the identity (sec x)(csc x) = cot x + tan x.
Answers
Let's prove that (sec x)(csc x) is equal to cot x + tan x
\(\Longrightarrow \sf (sec(x) )(csc(x))\)
\(\Longrightarrow \sf \dfrac{1}{\cos \left(x\right)\sin \left(x\right)}\)
\(\Longrightarrow \sf \dfrac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)}\)
\(\Longrightarrow \sf \dfrac{\cos ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)} + \dfrac{\sin ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)}\)
\(\Longrightarrow \sf \dfrac{\cos\left(x\right)}{\sin \left(x\right)} + \dfrac{\sin \left(x\right)}{\cos \left(x\right)}\)
\(\Longrightarrow \sf cot(x) + tan(x)\)
Hence student A did correctly prove the identity properly.
Also Looking at student B's work, he verified the identity properly.
So, Both are correct in their own way.
Part BIdentities used:
\(\rightarrow \sf sin^2 (x) + cos^2 (x) = 1\) (appeared in step 3)
\(\sf \rightarrow \dfrac{cos(x) }{sin(x) } = cot(x)\) (appeared in step 6)
\(\rightarrow \sf \dfrac{sin(x )}{cos(x) } = tan(x)\) (appeared in step 6)
513.4497 rounded to the hundredths place
Answers
Answer:
513.45
Step-by-step explanation:
use intelligence
Solve the linear equation. 3x = 24 x = ?
Answers
Answer:
3x =24
x = 24 -3
x = 21 (ans)
Answer:
X=8
Step-by-step explanation:
3x=24
divide each side by 3 to isolate x
x=8
Name an equation parallel to: y = -2/3 x + 10
Answers
Answer: The answer is...
y = -2/3 x + 1
Step-by-step explanation:
The others would have crossed paths with y = -2/3 x + 10