Answer:
this is a required answer.
A pair of athletic shoes costs $115. If the inflation rate remains constant at 4%, write an algebraic rule to determine the cost, c(t), of the shoes after t years.
Answer:
c(t)=115(1.04)^t
Step-by-step explanation:
algebraic rule to determine the cost, c(t), of the shoes after t years is:
c(t)=115(1.04)^t
inflation means a current dollar buy less in the future. example the price of shoes next two years will be :
115(1.04)^2=124.384 dollars
An algebraic rule to determine the cost, c(t), of the shoes after t years is [tex]c(t)=115(1.04)^t[/tex].
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, a pair of athletic shoes costs $115.
The inflation rate remains constant at 4%.
Let the cost, c(t), of the shoes after t years.
So, the function is [tex]c(t)=115(1.04)^t[/tex]
Therefore, an algebraic rule to determine the cost, c(t), of the shoes after t years is [tex]c(t)=115(1.04)^t[/tex].
To learn more about the function visit:
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The following angles are supplementary find the missing angle measure
Answer:
x = 62°, y = 103°
Step-by-step explanation:
Supplementary Angles
Two angles are called supplementary when their measures add up to 180 degrees.
The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.
The first drawing shows supplementary angles x and 118°. They must satisfy the equation:
x + 118° = 180°
Subtracting 118°:
x = 180° - 118°
x = 62°
From the second drawing, we set up the equation:
y + 77° = 180°
Subtracting 77°:
y = 180° - 77°
y = 103°
What the percentage of 25 out of 100?
Answer:
25%
Step-by-step explanation:
Convert fraction (ratio) 25 / 100 Answer: 25%
Answer:
25%
Step-by-step explanation:
The percentage is 25 because a percent is always out of 100.
Hope this helps you out and have a nice day :D
Evaluate the following functions. Show your work. Write your answer in function notation and as an ordered pair.
f (x)=2x+4 when f(2)
g(x)=10/x when g(5)
f(x)=2x+4 when f(x)=10
g(x)=10/x when g(x)=5
j(x)=x^2+1 when j(3)
j(x)=x^2+1 when j(x)=26
h(x)=-3x-4 when h(-5)
h(x)--3x-4 when h(0)
some answer in 2nd pic is cut off but u can grasp the general idea of how it's done.
Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6. The probability that at least one part works for one year is 0.9. Calculate the probability that part B works for one year, given that part A works for one year.
Answer:
0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.
This means that [tex]P(A) = 0.8, P(B) = 0.6[/tex]
The probability that at least one part works for one year is 0.9.
This means that: [tex]P(A \cup B) = 0.9[/tex]
We also have that:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]0.9 = 0.8+0.6 - P(A \cap B)[/tex]
[tex]P(A \cap B) = 0.5[/tex]
Calculate the probability that part B works for one year, given that part A works for one year.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625[/tex]
0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
find the value of x, show your steps
Answer:
I don't know what x is, but look below.
Step-by-step explanation:
If x=angle 3, then x=180-102=72
If x=angle 2, then x=102 (Vertical Angles Theorem
Hope I helped!
Find the measure of each angle indicated.
S
?
66°
32°
R
T
A) 34°
C) 40°
B) 43°
D) 114
Answer:
A. 34
Step-by-step explanation:
<RTS=180-66=114
All angles in a triangle add up to 180
<RSR=180-(114+32)=34
What is 1/8 divided by 5 fraction form
Answer: 1/40
Step-by-step explanation:
The equivalent value of the fraction is A = 1/40
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = p/q
when the value of p = 1/8
And , when the value of q = 5
On simplifying the equation , we get
A = ( 1/8 ) / 5
So , the left hand side of the equation is equated to the right hand side by the value of ( 1/8 ) / 5
A = ( 1/8 ) / 5
A = ( 1/8 ) ( 1/5 )
On simplifying , we get
A = 1/40
A = 0.025
Therefore , the value of A = 1/40 = 0.025
Hence , the fraction is A = 1/40
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Karen and Kevin collect coins. Karen has X coins. Kevin has 2 coins fewer than three times the number of coins Karen has. Write and simplify an expression for the total number of coins
Answer:
3x-2
Step-by-step explanation:
Kevin has 3x-2 coins because 3 times the amount that Karen has is 3x and he has 2 coins fewer so that's -2.
How do I solve this c + (-6c) + c + c
Answer:
-3c
hope it helps
Step-by-step explanation:
How many square feet of outdoor carpet for this hole
Answer: 30
Step-by-step explanation:
2 x 5 = 10
2 x 6 = 12
2 x 4 = 8
10 + 12 + 8 = 30
Is 78 a multiple of 6 SHOW YOUR WORK FOR BRAINLIST
Answer:
Yes.
Step-by-step explanation:
going off of 60 it be 66, 72, then 78. meaning 6 is a multiple of 78.
Answer: Yes, 78 is a multiple of 6
Step-by-step explanation:
78/6 = 13
PLS ANSWER IF UR GOOD AT GEOMETRY
DO THESE QUESTIONS PLS
Answer:
D.By finding the unit rate and multiplying it by 7.dasdsa
dasdaStep-by-step explanation:
cdac
Find the x- and y-intercepts of the linear function.
-8 - 2x + 4y = 0
Plz help with this question 10 points plz
9514 1404 393
Answer:
(d) x = 14√3; y = 14
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. That is, the short side (y) is half the length of the hypotenuse (28). Only one answer choice matches ...
y = 28/2 = 14
x = y√3 = 14√3
_____
It is a good idea to remember these ratios. They show up in a lot of problems.
EMERGENCYYYYYYY ANSWER THIS PLS I HAVE ONLY 2 MINS
140,000+36.25+1,000=
Answer:
141036.25
Step-by-step explanation:
Answer:
141036.25
Step-by-step explanation:
PLEASE HELP ME I NEED HELP ON THIS
Answer:
If im right the correct answers should be A, B and F
Pls help extra points and mark brainlist
Answer:
\frac{d}{8}
Step-by-step explanation:
If d is the total amount, and Helen has 8 nieces, we divide d by 8 to get the answer. The answer is [tex]\frac{d}{8}[/tex]
one fourth multiplied by four
Answer:
1
Step-by-step explanation:
[tex] \frac{1}{4} \times 4 = 1[/tex]
Justin bought 8 pounds of sugar for 4. How many dollars did he pay per pound of sugar?
Answer:
0.50 per pound
Step-by-step explanation:
4 / 8 = 0.5
hope this helps....
With a coupon, you can get a pair of shoes that normally costs $184 for only $114. What percentage was the discount? Round to the nearest HUNDREDTH. Remember your units (% sign)
Answer:
The discount was 38.04%
Step-by-step explanation:
Given that:
Original cost of pair of shoes = $184
Discounted cost of shoes = $114
Difference = 184 - 114
Difference = $70
Discount percent = [tex]\frac{Difference}{Original\ price}*100[/tex]
Discount percent = [tex]\frac{70}{184}*100[/tex]
Discount percent = 0.3804 * 100
Discount percent = 38.04%
Hence,
The discount was 38.04%
What is the place value of the 8 in 45.1386? a. Tenths
b. Tens
c. Thousands d. Thousandths
2. What is the place value of 1 in 0.5431? a. Thousands
b. Thousandths
c. Tenthousandths d. Ten thousands
3. What is the place value of 9 in 5.9105 a. Tenths
b. Tens
c. Hundredths d. hundreds
4. Whichdigithastheleastvaluein5.1896 a. 1
b. 8 c. 9 d. 6
5. Which decimal place value has the greatest value? a. Tenths
b. Hundredths
c. Thousandths
d. Ten thousandths
6. How to read and write 5.04? a. Fiveandfourtenths
b. Five and four hundredths
c. Fiveandfourthousandths
d. Five and four ten
Answer:
1. d thousandths
2. c ten thousandths
3. a tenths
4. d 6
5. a tenths
6. b five and four hundredths
Step-by-step explanation:
Complete the sentence. 13 is 65% of _____
20
Step-by-step explanation:
is what i got i think its wrong tho
A line has slope 3 and y-intercept (0,6). Which of the following equations is for the line?
3X + 6
I hope this help
Which of the following can be used to construct a triangle?
A) 30 40 90 degrees
B) 120 52 98 degrees
C) 100 25 55 degrees
D) 80 80 80 degrees
9514 1404 393
Answer:
C) 100 25 55 degrees
Step-by-step explanation:
The sum of the angle measures must be 180°.
A: 30 +40 +90 = 160
B: 120 +52 +98 = 270
C: 100 +25 +55 = 180 . . . . these form a triangle
D: 80 +80 +80 = 240
A total of 270 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
9514 1404 393
Answer:
90
Step-by-step explanation:
Of each 3 tickets sold, 2 were student tickets and 1 was an adult ticket. Adult tickets were 1/3 of the tickets sold:
1/3 × 270 = 90 . . . . adult tickets sold
what is the y- intercept of the given graph
Answer:
Point is indicated by a yellow dot in attached graph.
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
Simplify the expression.
21 + 49 divided by 7 + 1
Answer:
60 divided by 8
Step-by-step explanation:
60 divided by 8
Over the last three evenings, Linda received a total of 83 phone calls at the call center. The second evening, she received four times as many calls as the third evening. The first evening she received seven fewer calls then the third evening. How many phone calls did she receive each evening?
Answer:
First evening: 8 phone calls
Second evening: 60 phone calls
Third evening: 15 phone calls
Step-by-step explanation:
third evening: x
second evening: 4x
first evening: x - 7
x + 4x + x - 7 = 83
6x = 90
x = 15
First evening: x - 7 = 15 - 7 = 8
Second evening: 4x = 4(15) = 60
Third evening: x = 15
Which inequality is true for x = 20?
Answer:
Step-by-step explanation:
The options are :
A. x + 30 < 3x
B. x - 5 < 2x - 35
C. x divided by 4 < x - 12
D. 2x < x + 22
Option (A) :
x + 30 < 3x
Put x = 20 on both sides
LHS = 20 + 30 = 50
RHS = 3(20) = 60
50<60
The option is correct.
Option (B) :
x - 5 < 2x - 35
Put x = 20 on both sides
LHS = x-5 = 20-5 = 15
RHS = 2x - 35 = 2(20) -35 = 5
15<5
The option is incorrect.
Option (C) :
x/4 < x - 12
Put x = 20 on both sides
LHS = 20/4 = 5
RHS = x - 12 = 20-12 = 8
5<8 (correct)
Option (D) :
2x < x + 22
Put x = 20 on both sides
LHS = 2x = 2(20) = 40
RHS = x+22 = 20 + 22 = 44
40<44
It is true. The option is correct.
Hence, option A, B and D are correct.
Answer:the last one
Step-by-step explanation: