What single percentage change is equivalent to a 7% increase followed by a 22% increase

Answers

Answer 1

Answer:

Single increase rate = 29.47%

Step-by-step explanation:

Given:

First increase rate = 7%

Second increase rate = 21%

Find:

Single increase rate

Computation:

Assume number is a

So,

First increase rate = 7%

a + 7%

= 1.07a

Second increase rate = 21%

1.07a + 21%

1.2947a

So,

Single increase rate = 1.2947 - 1

Single increase rate = 0.2947

Single increase rate = 29.47%


Related Questions

Calculate the pay for the following day of a weekly time card given a wage of $14/hr

Monday In 0800 Out 1200 In 12:45 Out 17:30

Answers

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

[tex]\frac{45}{60}[/tex] minutes in an hour = [tex]\frac{3}{4}[/tex] of an hour.

The total time worked was 8 [tex]\frac{3}{4}[/tex] hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

Note- it would mean the world to me if you could mark me brainliest!

Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P

Answers

Answer:

[tex]Profit = SP - CP[/tex]

Step-by-step explanation:

Given

[tex]S.P = Selling\ Price[/tex]

[tex]C.P = Cost\ Price[/tex]

Required

Represent the profit, mathematically

The profit is the difference between SP and CP.

This is represented as:

[tex]Profit = SP - CP[/tex]

which point on the scatter plot represents the outlier ?

Answers

Answer:

The point that represents the outlier is “B”

Step-by-step explanation:

I know it because I just did it and got it right. Hope it helps!

Answer:

B

Step-by-step explanation:

I know because i got it correct

Help with my question please

Answers

Answer:

d

Step-by-step explanation:

the correct answer is option D.


explanation:
if you want to solve easy,

5x2=10
5x1/6= 5/6

total: 10 5/6


hope this helps :)

Cirrus clouds form more than 6,000 meters above earth. Write an inequality to represent h, the height in meters, of cirrus clouds.

(Remember, you need to hold Shift to get the inequality symbols on your keyboard.)



If you did not read carefully, you must use h as the variable in your inequality, or it will be marked incorrect. Plssss help!! 20 points1!!!

Answers

Answer:

no lo se no se mucho de ingles

Step-by-step explanation:

lo siento

Suppose $5000 is invested at 5.25% annual interest, compounded continually.
What will be the
amount in the account in 7 years if no money is withdrawn?

$2609.00
$7220.60
$5000.00
$5269.51

Answers

the amount in the account is $50000.00

Answer:

I am sure that it is  $7220.60

Step-by-step explanation:

If you invested in 5000 you would have that much in your account to withdraw

hope this works for you

13) Find the values of x and y.

Answers

Answer:

x = 64°

y = 71°

Step-by-step explanation:

✔️x = 180 - 2(58) (isosceles triangle)

x = 180 - 116

x = 64°

✔️y + 45° + x = 180° (angles on a straight line)

y + 45° + 64° = 180° (substitution)

y + 109 = 180°

y = 180° - 109°

y = 71°

Geometry help please

Answers

Answer:

the pink triangle is the answer, just know that each 90° will be the next quadrant.

There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?

Answers

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!

Answers

Answer:

-4 mph/sec

Step-by-step explanation:

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

Write a division equation to show a 26-pack of candy bars divided equally among 7 people. How many candy bars will each person have?Express the answer as a mixed number.

Answers

Answer: Each person will get 3 candy bars

Step-by-step explanation:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

[tex]3\frac{5}{7}[/tex]

Answer:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

Step-by-step explanation:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

es 12.5 the intercepts and domain, and perform the symmetry test on each of the following ellipses: 6x2 + 25y2 = 400 2 + 472 = 4 2+ y2 = 64 2 + 4y2 = 36 (b) 25x2 + 16y2 = 400 (d) 4x2 + y2 = 4 (f) x2 + 4y2 = 36 (h) 7x2 + 8y2 = 112 ? vertices, foci, endpoints of the minor axis, and endpoints of the latera resta: then draw for each equation in problem 1,​

Answers

Answer:

the question is cutoff. please rewrite the question. please write exponents as 6x^2.

Classify the following triangle. Check all that apply.
7
9
11.4
A. obtuse
B. scalene
C. right
D. isosceles
E. acute
F equilateral

Answers

Answer:

E. Acute

Step-by-step explanation:

Hope it helps

Answer: C and B

As we see there is a right angle marked in the top. We also know that the sides are different lengths, making it scalene.

A person invests 3000 dollars in a bank. The bank pays 6.75% interest compounded

semi-annually. To the nearest tenth of a year, how long must the person leave the

money in the bank until it reaches 6700 dollars?

Answers

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75%  semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

[tex]A=P(1+\frac{r}{n\times 100})^{nt}[/tex]

Where n=2

Using the formula

[tex]6700=3000(1+\frac{6.75}{200})^{2t}[/tex]

[tex]\frac{6700}{3000}=(1..03375)^{2t}[/tex]

[tex]2.233=(1.03375)^{2t}[/tex]

Taking ln on both sides we get

[tex]ln(2.233)=2t ln(1.03375)[/tex]

[tex]2t=\frac{ln(2.233)}{ln(1.03375)}[/tex]

[tex]t=\frac{1}{2}\times \frac{ln(2.233)}{ln(1.03375)}[/tex]

[tex]t=12.1 years[/tex]

Halla el FCM de 44 y 88 usando factorización prima.

Answers

88
88
tiene como factores a
2
2
y
44
44
.
2

44
2

44
44
44
tiene como factores a
2
2
y
22
22
.
2

2

22

Weary of the low turnout in student elections, a college administration decides to choose an SRS of three students to form an advisory board that represents student opinion. Suppose that 48% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.48 that each opposes the funding of interest groups.Call the three students A, B, and C. Give the probability of each possible outcomes (AcBcCc are the events that the students support the student fee usage).Pr(ABC) = _____Pr(ABCc) = _____Pr(ABcC) = _____Pr(AcBC) = _____Pr(ABcCc) = _____Pr(AcBCc) = _____Pr(AcBcC) = _____Pr(AcBcCc) = _____

Answers

Answer:

[tex]P(ABC) = 0.110592[/tex]

[tex]P(ABC^c) = 0.119808[/tex]

[tex]P(AB^cC) = 0.119808[/tex]

[tex]P(A^cBC) = 0.119808[/tex]

[tex]P(AB^cC^c) = 0.129792[/tex]

[tex]P(A^cBC^c) = 0.129792[/tex]

[tex]P(A^cB^cC) = 0.129792[/tex]

[tex]P(A^cB^cC^c) = 0.140608[/tex]

Step-by-step explanation:

Given

[tex]P(A) = P(B) = P(C) = 48\%[/tex]

Convert the probability to decimal

[tex]P(A) = P(B) = P(C) = 0.48[/tex]

Solving (a): P(ABC)

This is calculated as:

[tex]P(ABC) = P(A) * P(B) * P(C)[/tex]

This gives:

[tex]P(ABC) = 0.48*0.48*0.48[/tex]

[tex]P(ABC) = 0.110592[/tex]

Solving (b): [tex]P(ABC^c)[/tex]

This is calculated as:

[tex]P(ABC^c) = P(A) * P(B) * P(C^c)[/tex]

In probability:

[tex]P(C^c) = 1 - P(C)[/tex]

So, we have:

[tex]P(ABC^c) = P(A) * P(B) * (1 - P(C))[/tex]

[tex]P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)[/tex]

[tex]P(ABC^c) = 0.48 * 0.48 * 0.52[/tex]

[tex]P(ABC^c) = 0.119808[/tex]

Solving (c): [tex]P(AB^cC)[/tex]

This is calculated as:

[tex]P(AB^cC) = P(A) * P(B^c) * P(C)[/tex]

[tex]P(AB^cC) = P(A) * [1 - P(B)] * P(C)[/tex]

[tex]P(AB^cC) = 0.48 * (1 - 0.48)* 0.48[/tex]

[tex]P(AB^cC) = 0.48 * 0.52* 0.48[/tex]

[tex]P(AB^cC) = 0.119808[/tex]

Solving (d): [tex]P(A^cBC)[/tex]

This is calculated as:

[tex]P(A^cBC) = P(A^c) * P(B) * P(C)[/tex]

[tex]P(A^cBC) = [1-P(A)] *P(B) * P(C)[/tex]

[tex]P(A^cBC) = (1 - 0.48)* 0.48 * 0.48[/tex]

[tex]P(A^cBC) = 0.52* 0.48 * 0.48[/tex]

[tex]P(A^cBC) = 0.119808[/tex]

Solving (e): [tex]P(AB^cC^c)[/tex]

This is calculated as:

[tex]P(AB^cC^c) = P(A) * P(B^c) * P(C^c)[/tex]

[tex]P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)][/tex]

[tex]P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48][/tex]

[tex]P(AB^cC^c) = 0.48 * 0.52*0.52[/tex]

[tex]P(AB^cC^c) = 0.129792[/tex]

Solving (f): [tex]P(A^cBC^c)[/tex]

This is calculated as:

[tex]P(A^cBC^c) = P(A^c) * P(B) * P(C^c)[/tex]

[tex]P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)][/tex]

[tex]P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48][/tex]

[tex]P(A^cBC^c) = 0.52 * 0.48 * 0.52[/tex]

[tex]P(A^cBC^c) = 0.129792[/tex]

Solving (g): [tex]P(A^cB^cC)[/tex]

This is calculated as:

[tex]P(A^cB^cC) = P(A^c) * P(B^c) * P(C)[/tex]

[tex]P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)[/tex]

[tex]P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48[/tex]

[tex]P(A^cB^cC) = 0.52 * 0.52 * 0.48[/tex]

[tex]P(A^cB^cC) = 0.129792[/tex]

Solving (h): [tex]P(A^cB^cC^c)[/tex]

This is calculated as:

[tex]P(A^cB^cC^c) = P(A^c) * P(B^c) * P(C^c)[/tex]

[tex]P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)][/tex]

[tex]P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48][/tex]

[tex]P(A^cB^cC^c) = 0.52*0.52*0.52[/tex]

[tex]P(A^cB^cC^c) = 0.140608[/tex]

A)180.48 m2

B)180.48 m

C)80.48 m2

D)80.48 m

Answers

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which of the following could be the binomial that Amani is trying to expand?

Answers

Answer:

Step-by-step explanation:

all of the numbers in the nth row are coefficients in the expansion of (a+b)^n

Answer:

(2x+3)10!

Step-by-step explanation:

A standard fair dice is rolled twice.
What is the probability of getting an even number on the first roll and any prime number on the other?

Answers

The probability of getting an even number is 1/2 and for getting a prime number, the probability is also 1/2

Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%

Answers

Answer:

1478.67

Step-by-step explanation:

6. Cindy and Sam are 24 miles apart on a path when they start moving
toward each other. Cindy runs at a constant speed of 10 miles per
hour, and Sam walks at a constant speed of 6 miles per hour.
How long does it take until Cindy and Sam meet?

Answers

Answer:

2 hours to meet each other

Step-by-step explanation:

Answer:

1.5

Step by step explanation:



A tree casts a 16-foot-long shadow on level ground. A forestry student uses a clinometer to determine that the sun is at a 70° angle of elevation.


What is the height of the tree to the nearest whole foot?

Use the on-screen keyboard to enter the number in the box below.

Answers

Answer:

Tree is [tex]43.84[/tex] feet tall

Step-by-step explanation:

Shadow casted by tree [tex]= 15[/tex] feet

Angle of elevation of sun [tex]= 70[/tex] degrees

Tangent of angle of elevation is equal to the ration of height of tree and its shadow

tan [tex]70 = \frac{t}{16}[/tex]

Height of the tree is equal to [tex]16 *[/tex] tan [tex]70[/tex]

Height of the tree [tex]= 16 * 2.74 = 43.84[/tex] feet

Is 3.5 and 3.55 a equivalent decimal?​

Answers

No because it would have to be 3.50 to be equivalent

Write an expression equivalent to the one below
-2m-8+4(3m-9)

Answers

Answer:

Step-by-step explanation:

Distribute the 4 into the parentheses.

[tex]-2m-8+12m-36[/tex]

Combine like terms

[tex]10m-44[/tex]

Answer:

10m - 44

Step-by-step explanation:

Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44

I hope this helps!

HELP ME PLEASE
What is the value of the expression 9 + StartFraction n Over 3 EndFraction minus 6 when n = 12?
1
5
7
12

Answers

Answer:

[tex]9 + \frac{n}{3} - 6 = 7[/tex]

Step-by-step explanation:

Given

[tex]9 + \frac{n}{3} - 6[/tex]

Required

Evaluate when n = 12

Substitute 12 for n in [tex]9 + \frac{n}{3} - 6[/tex]

[tex]9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6[/tex]

Simplify the fraction

[tex]9 + \frac{n}{3} - 6 = 9 + 4 - 6[/tex]

[tex]9 + \frac{n}{3} - 6 = 7[/tex]

Your answer is 7,

Known:n=12

So 12/3

First, we need to simplify 12/3

To simplify this, all we need to do is divide 12 by 3

12÷3=4

3 goes into 12 4 times.

So now our eqation is

9+4-6

9+4 is 13

13-6 is 7

Hope this helps

~`Learning with Natalia`~

Twelve people waited more than 45 minutes.
How many people waited between 10 and 30 minutes?

Answers

45-60 = 24 squares
12/24 = 0.5
10-30 = 44 squares
44 x 0.5 = 22

Solve the right triangle round your answer to the nearest tenth

Answers

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

Trayvion measured his basketball rim. The radius of the rim is \large 7\frac{1}{2} inches. What is the circumference of the rim?
a
176.6 inches
b
47.10 inches
c
23.55 inches
d
6.5 inches

Answers

Answer:

(b) 47.10 inch.

Step-by-step explanation:

C = 2πr

C ≈ 2 × 3.14 × 7.5 = 47.1 inches  

Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).

Answers

Answer:

-17

Step-by-step explanation:

8x -2y= 12

Divide the whole equation by 2:

4x -y= 6

Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

To find the y-intercept of the lone, substitute a pair of coordinates.

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.

Please help geomtry!

Answers

Answer:

13

Step-by-step explanation:

By angle bisector property:

[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]

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