Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:
[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]
So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:
[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]
Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴
[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]
= 2.02955
HELP PLEASE THIS IS A TEST FOR NEXT YEARS CLASS
A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms.
Which expression represents the number of charm sets Mrs. Thompson bought?
A. 20 / (3 + c)
B. 20 x 3 + c
C. 20 / 3 + c
D. 20 x (3 + c)
Answer:
20 / (3 + c)
Step-by-step explanation:
WHAT IS (1+1)*0 HELP!
Answer:
0
Step-by-step explanation:
anything times zero is zero
If a student answers 42 out of 48
questions correctly on a quiz, what
percentage of questions did she
answer correctly?
Answer:
She answered 87.5% correctly.
Step-by-step explanation:
100÷48=2.083
2.083×42=87.5
The percentage of student answered correctly is 87.5%.
What is percentage?A percentage, a relative value indicating hundredth parts of any quantity.
How to find the prcentage of a number of quantity?The following formula is a common strategy to calculate a percentage:
Determine the total amount of what you want to find a percentage.Divide the number to determine the percentage.Multiply the value by 100.According to the given question.
Total number of questions = 48
Total number of questions which are answered correclty by a student = 42
Therefore, the percentage of question the students answered correctly is given by
[tex]Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100[/tex]
[tex]\implies percentage = \frac{42}{48} \times 100[/tex]
[tex]\implies percentage = 0.875\times 100[/tex]
[tex]\implies percentage = 87.5\%[/tex]
Hence, the percentage of student answered correctly is 87.5%.
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Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.
Answer:
$475 + 4% (19 percent) = $494 a year.
Step-by-step explanation:
Help me guys pleased and thank you
Answer:
#5Area of side faces:
A = 2(18 + 14)*14 = 896 cm²Area of bottom face:
A = 18*14 = 252 cm²Area of 2 triangular faces:
A = 16*14 = 224 cm²The height of the remaining triangular faces:
h² = 16² - (18/2)² + (14/2)² = 224h ≈ 15 cmThe area of 2 triangular faces:
A = 15*18 = 270 cm²Paper needed:
896 + 252 + 224 + 270 = 1642 cm²#6Let the perimeter of the base is P.
If the height is increased by 1.5 cm then surface area is increased by:
1.5PThe 4th grade is planting a garden for a fundraiser at school. The garden has an area of 56 square feet. The length of one side is 7 feet. What is the width of the garden?
A. 56 feet
B. 7 feet
C. 8 feet
D. 49 feet
Can someone answer this? I’ll give points + brainalist
Find the surface area of the square pyramid
What is the volume of the rectangular prism
A 11cm
B 24cm
C 30cm
D 36cm
Answer:
D, the volume of the rectangular prism is 36 cm
Step-by-step explanation:
2 x 3 x 6 = 36
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answer:
43/30
Step-by-step explanation:
Answer:
1 13/30
Step-by-step explanation:
6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.
5/6 + 3/5 = 25/30 + 18/30
=
43/30 which is equal to 1 13/30.
Can somebody explain how to solve this pls??
Answer:
1: domain: 1, 3, 5, -2, -3
Range: 1, 3, 5, 1, -3
2: Domain: 2, 1, -1, -3, -3
Range: 3, -4, -2, 1, 3
Step-by-step explanation:
the domain is the x intercepts, so if the coord is (5, 7) the domain would be 5
The range is the y intercept, so if the coord would also be (5. 7) the range would be 7
and yea uh tell me if i did anything wrong
pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Step-by-step explanation:
The model that illustrates the relationship is 4x=10.404x=10.40
The cost of each ice cream was x=\$2.60x=$2.60
Step-by-step explanation:
Let
x----> the cost of one ice cream
we know that
The linear equation that represent this situation is
4x=10.404x=10.40
solve for x
Divide by 4 both sides
x=10.40/4x=10.40/4
x=\$2.60x=$2.60
Answer:
First answer is y = 2.6 (or answer two)
Second answer is Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)
Third answer is
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)
Step-by-step explanation:
Correct on edge 2021
and i did the calculations
I hope this helped have a great day!
Solve and check. All steps must be shown.
5x + 15 = 75 - 25x
Answer:
X = 3
Step-by-step explanation:
Answer:
= 2
Step-by-step explanation:5x+15=75-25x
We move all terms to the left:
5x+15-(75-25x)=0
We add all the numbers together, and all the variables
5x-(-25x+75)+15=0
We get rid of parentheses
5x+25x-75+15=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2
This year, a small business had a total revenue of $14,600. If this is 27% less than their total revenue the previous year, what was their total revenue the previous year?
Given:
The total revenue of this year = $14,600
This year revenue is 27% less than their total revenue in the previous year.
To find:
The total revenue in the previous year.
Solution:
Let x be the total revenue of the previous year.
This year revenue is 27% less than their total revenue the previous year.
Revenue in this year = Revenue in previous year - 27% of it
[tex]14600=x-\dfrac{27}{100}x[/tex]
[tex]14600=x-0.27x[/tex]
[tex]14600=0.73x[/tex]
Divide both sides by 0.73.
[tex]\dfrac{14600}{0.73}=x[/tex]
[tex]20,000=x[/tex]
Therefore, the total revenue in the previous year is $20,000.
The Smith family went out to dinner.
The meal cost $65.56.
The sales tax is 2.5% of the meal.
The tip was 18% of the meal and the tax.
There are 6 people in the Smith family.
What was the cost per person for the meal, including sales tax and tip?
Answer:
13.22
Step-by-step explanation:
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
the required probability is 0.0071
Step-by-step explanation:
Given the data in the question;
we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.
so total number of combinations for the narrowed down metrics is computed as follows;
using multiplication rule:
⇒ 4 × 5 × 7 = 140 ways
Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;
⇒ 1 / 140
{ assuming that the narrowed down choices have within it the correction combination }
= 0.007142 ≈ 0.0071 { four decimal place }
∴ the required probability is 0.0071
Which combination of shapes can be used to create the 3-D figure?
-Two regular pentagons and have congruent rectangles
-Two regular decagons and 10 congruent squares
-Two regular pentagons and five congruent squares
-Two regular decagons and 10 congruent rectangles
The combination of shapes that can be used to create the 3-D figure is; Two regular decagons and 10 congruent rectangles.
What combination of shapes can be used to create the 3-D figure?From observation of the task content, if follows that the top section of the 3-D figure is a decagon (a regular polygon of 10 sides).
Hence, two decagons are needed and 10 congruent rectangles used which represents the height of the figure are needed.
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Answer: D
Step-by-step explanation:
well cause they look like rectangles and then they have two of those things on the top and bottom ill comment on my question if I get it right, not to mention if u count the sides of the figure you'll see that they're is 10 of them lol
D: Two regular decagons and 10 congruent rectangles
couldn't comment on it but I got it right lol have a good day!
Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
square side = 57
hexagon side = 38
Step-by-step explanation:
x = side length of square
y = side length of hexagon
x = y + 19
4x = 6y
substitute for x:
4(y + 19) = 6y
4y + 76 = 6y
subtract 4y from each side of the equation:
2y = 76
divide both sides by 2:
y = 38
x = 57
Answer:
Hi there,
Make the side of the hexagon = x
Side of square = x + 12
Both figures have the same perimeters.
4(x + 14) = 6x
4x + 56 = 6x
Collect like terms:
6x - 4x = 56
2x = 56
x = 28
Length of hexagon side = 28 feet
Length of square side = 42 feet
Hope this helps :-)
I will give BRAINLIEST!!!The distance between P and T on the coordinate grid is units. (Input whole numbers only) 25 20- P. T -50 40 -30 -20 -10 0 10 20 30 40 Numerical Answers Expected! Answer for Blank 1:
Answer:
P and T are 25 units apart.
Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity is he driving?
[Hint: Use d = vt.]
What are the missing numbers?
Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.
Answer: x=233
Step-by-step explanation:
The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:
|AC|² = |AB|² + |BC|²
13²=8²+ |BC|²
|BC|=10.25
The missing side of this right triangle will be 10.25.
Learn more about Pythagoras theorem refer:
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
129°
Step-by-step explanation:
the two angles are vertically opposite.
Answer:
angle f= angle g= 129°
Step-by-step explanation:
angle g and f are vertically opposite angles and hece should be equal.
Hope it helps. Please mark as the brainliest.
Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.
→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.
Which number sentence best represents this situation?
A. 12 + 7 + 2 = y
B. 12x · 2 + 7 = y
C. 12x + 7 = y
D. 12x - 7 = y
Answer:
i think the answer is C. 12x+7=y :)
Step-by-step explanation:
.........................
Answer:
lol
Step-by-step explanation:
Do u know rulers take 2# I already ask this question its just take I put the wrong file
Answer:
9 and a half inches
Step-by-step explanation:
Just count via the ruler!
Answer:
9 4/10 inches
Step-by-step explanation:
look at where the red dotted line to the right falls on the ruler. It's not quite on 9 and a 1/2 but on the line just before that.
hope this helps
Simplify 12(3+5y)
A.96y
B.96-8p
C.36+5y
D.36x+60y
Answer:
60y + 36
Step-by-step explanation:
Answer: D. 36+60y
Step-by-step explanation:
12(3+5y)
36+60y
This equation is all about carrying over the 12 and multiplying against 3 and 5y.
Rectangle A B C D graphed in the coordinate plane. The following are the vertices of the rectangle: A(--2,2) B(6,2) C(6,3) D(--2,3)
What is the area of rectangle ABCD?
Answer:
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3people equally share 4 oranges. How many oranges
does each person get?
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
4/3=[tex]1\frac{1}{3}[/tex]
Answer:
4 divided by 3 = about 1.33
Step-by-step explanation:
fraction form is 1 1/3