Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
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:
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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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.]
Can someone answer this? I’ll give points + brainalist
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
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
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
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.
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.
Help me pls I need this answer
Answer:
Assuming that [tex] \overline{AOC} [/tex] is a diameter.
Given that [tex] m\angle{BAC} \: = \: 66° [/tex]
And that point O is the center of the circle
[tex] \boxed{m\angle{BAC} \: = \: 57°} [/tex]
Explanation:
Because angle AOB is subtended by arc AB from point O.
Arc AB is equal to the measure of that angle.
Since arc ABC is subtended by the diameter, the arc is 180°.
What are the missing numbers?
WHAT IS (1+1)*0 HELP!
Answer:
0
Step-by-step explanation:
anything times zero is zero
.........................
Answer:
lol
Step-by-step explanation:
a business plants trees on 2/4 acre of land each month for 7 months. how many acres of land does the business plant with trees after the 7 months?
a) 2/28
b) 14/28
c) 14/4
d) 30/4
please help. and please take this seriously, thank you.
Answer:
C) 14/4
Step-by-step explanation:
Multiply the amount of land per month by the number of months.
(2/4)(7) = 14/4 acres
Option C is correct, 14/4 acres of land does the business plant with trees after the 7 months
What is Fraction?A fraction represents a part of a whole.
A business plants trees on 2/4 acre of land each month for 7 months.
We have to find the number of acres of land does the business plant with trees after the 7 months
To find this we have to multiply seven with two by four
7×2/4
14/4
Hence, 14/4 acres of land does the business plant with trees after the 7 months
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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.
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.
Tom deposited $2,410 in a bank that pays 12% interest compounded monthly find the amount he will have at the end of three years
Answer: 3448.15
Step-by-step explanation:
The formula is
A=p ((1+(r/n))^(tn)
A future value ?
P present value 2410
R interest rate 0.12
N compounded monthly 12
T time 3 years
A=2,410×((1+(0.12÷12))^(3×12)
A=3448.15
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.
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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
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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Step-by-step explanation:
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:
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answer:
6
Step-by-step explanation:
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
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
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.
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.
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:
Last month the amount on Jaden's bank account statement went from $200 to $150.
What was the percent change? (the change is a 25% decrease. Ignore the top half.)
Please help! I will give brainlest
On this month's bank statement, the final balance was $240.
What percent of change was there this month?
Answer:
160%
1.6*150=240
Find the surface area of the square pyramid
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!