Answer:
The computation is shown below;
As we know that
The simple interest is
Simple interest = Principal × rate × time
For Account A, the principal would be
2 = Principal × 3.2% × 3
So, the principal is $20.83
For account B, the principal would be
38.50 = Principal × 2.2% × 30
So, the principal is $58.33
Now the interest for both the accounts are as follows
For account 1
= $20.83 × 3.2%
= $0.67
And, for the account 2
= $58.33 × 2.2%
= $1.28
As it can be seen that the account 2 has the highest interest
The same is to be considered
Step-by-step explanation:
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
A couple's anniversary dinner bill was $126.50. They tipped their waiter 20% of the bill. What was the total bill including tip?
Answer:
$151.80 was the total bill including tip.
Step-by-step explanation:
$126.50 x 20% = $25.30
$126.50 + $25.30 = $151.80
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
I need help with this math problem don't know how to do it.
Answer:
40
Step-by-step explanation:
The shape is a parallelogram.
formula = A = bh
b = 10
h = 4
10 x 4 = 40
Use the graph of the polynomial function. What are the zeros
Of the polynomial
A{-2}
B{3,-1,4}
C{-3,1,4}
D{2}
Answer:
B
Step-by-step explanation:
Whenever the curved line touches the x-axis that will be the zeros of the function.
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the letters of the word DANCER be arranged in a row? Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. So the answer is . (b) How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit? (c) How many ways can the letters of the word DANCER be arranged in a row if the letters NCE must remain together (in order) as a unit?
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
[tex]Word = DANCER[/tex]
[tex]n =6[/tex] --- number of letters
Solving (a): Number of arrangements.
We have:
[tex]n =6[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =6![/tex]
This gives:
[tex]Total =6*5*4*3*2*1[/tex]
[tex]Total =720[/tex]
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
[tex]n = 5[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =5![/tex]
This gives:
[tex]Total =5*4*3*2*1[/tex]
[tex]Total =120[/tex]
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
[tex]n = 4[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =4![/tex]
This gives:
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
Carmen runs each lap in 4 minutes. She will run less than 28 minutes today. What are the possible numbers of laps she will run today?
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain.
Plzzzzzzzzzzzzzzzzzzz help
Answer:
25
Step-by-step explanation:
1/2 b h
1/2×10×5=25
so i guess the ans is 25 thats all I know
u take 1/2 base ×height
What is the value of the second quartile
Answer:
the value is 20 out of 100
Step-by-step explanation:
A box contains 4 bags of flour. The total mass of all 4 bags is 8kg. What is the mass of each bag in cg?
⚠️ Mhanifa, can you help me, please? This is due asap and I will mark brainliest :)
The image is attached. Thanks! (There are two questions.)
Answer:
The domain is the set of x-values:
x = [-4, 4]The range is the set of y-values:
y = [-1, 2]It's Pythagorean theorem
Answer:
6root3
Step-by-step explanation:
Answer:
6 radical 3
Step-by-step explanation:
How do I do number 2 and 4 please help
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END
K Write an expression for the sequence of operations described below. add y to z, then multiply 3 by the result
Answer:
3(y+z)
Step-by-step explanation:
y+z is added first so it is in parentheses and then multiply by the 3
A:Consecutive interior angles
B:Vertical angles
C:Alternate exterior angles
D:Corresponding angles
Answer:
D: corresponding angle
hope it helps.
Answer:
corresponding angles
Step-by-step explanation:
hope it is helpful ><
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A) 0.257
B) 0.351
C) 0.360
D) 0.116
Answer:
Option D
Step-by-step explanation:
Total number of employees in the organization = 250
Total person who have height greater than 180 centimeters and also have black hair = 29
Probability of choosing a person who is taller than 180 centimeters and has black hair is
[tex]\frac{29}{250} = 0.116[/tex]
Hence, option D is correct
Answer:
The correct answer is D
Step-by-step explanation:
D) 0.116
You have to find the probability of choosing a person at random taller than 180 cm and with black hair.
In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.
29/250=0.116
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
Box Plot for Problem #12
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
Answer:
y = 4;
y = 7;
x = 6
Step-by-step explanation:
Given the rule, y = x/2, find the missing values as shown below:
✔️For the first row, to find y, substitute x = 8 into y = x/2,
y = 8/2
y = 4
✔️For the second row, to find y, substitute x = 14 into y = x/2,
y = 14/2
y = 7
✔️For the third row, to find x, substitute y = 3 into y = x/2,
3 = x/2
3*2 = x
6 = x
x = 6
How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits? (e) What is the probability that a randomly chosen four-digit integer has distinct digits? What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?
Answer:
(a) [tex]Total= 9000[/tex]
(b) [tex]Total = 4500[/tex]
(c) [tex]Total = 4536[/tex]
(d) [tex]Total = 2240[/tex]
(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits
[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits
Step-by-step explanation:
Solving (a): Integers from 1000 to 9999
To do this, we simply add 1 to the range.
i.e.
[tex]Total= Range +1[/tex]
Range is the difference between the given interval.
[tex]Total= 9999 - 1000 +1[/tex]
[tex]Total= 9000[/tex]
Solving (b): Odd integers
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 (i.e any of the remaining 9 digits)
There is no restriction to other digits
Numbers from 1000 to 9999 are 4 digits, so the possible selection are:
[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]
Total selection is:
[tex]Total = 9 * 10 * 10 * 5[/tex]
[tex]Total = 4500[/tex]
Solving (c): Distinct digits
This implies that all 4 digits are different and the first can not be 0.
So, we have:
[tex]First = 9[/tex] i.e. (1 - 9)
[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit
[tex]Third = 8[/tex]
[tex]Fourth = 7[/tex]
Total selection is:
[tex]Total = 9*9*8*7[/tex]
[tex]Total = 4536[/tex]
Solving (d): Odd digits that are distinct
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 and must be different from the last (i.e 8 digits)
The second digit must be different from the first and the last(i.e. 8 digits)
The third digit must be different from the three other digits (i.e. 7 digits)
So,
[tex]Total = 5 * 8 * 8 * 7[/tex]
[tex]Total = 2240[/tex]
Solving (e): Probability that a number is distinct
In (a), total possible digits is 9000
In (c), total distints are 4536
So, the probability is:
[tex]Pr = \frac{4536}{9000}[/tex]
[tex]Pr = 0.5040[/tex]
In (d), total odd distinct digits are 2240
So, the probability is:
[tex]Pr = \frac{2240}{9000}[/tex]
[tex]Pr = 0.2489[/tex]
Which is the graph of f(x) = 100(0.7)?
Answer:
f(x) = y = 70
Step-by-step explanationsince
since 100 · 0.7 = 70
f(x) = y = 70
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
[tex]\boxed {\boxed {prove : \: 3 \: is \: greater \: than \: 5 }} [/tex]
3 has more letters than 5. Hence 3 is greater than 5
Please help!!!!!!!!!!!! Bbb
Answer:
2x+1
Step-by-step explanation:
the second answer
Melody paid for a scarf with a ten dollar bill her change was two dollar three quarters and two dimes how much was the scarf
Answer:
Step-by-step explanation:
10 -2.95 = 7.05
the scarf cost $ 7.05
Answer:
4456646
Step-by-step explanation:
its that bc we add
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answer:
4+62=66
Step-by-step explanation:
Find h.
10 cm
h = ✓ [?] cm
8 cm
Answer:
√86 cm
Step-by-step explanation:
radius² + h² = slope² slope = 10 radius = 4
h² = slope² - radius²
h = √(slope² - radius²)
= √(10² - 4²)
= √ 86
=
Answer: 84
...........
Pls help ! Find the value of x .
Answer:
101
Step-by-step explanation:
180-79=101
have a great day
Answer:
the value of x is 101 degrees
