Kara will pay $584 in interest for a loan of $3650 at an annual interest rate of 16% after one year, calculated using the simple interest formula I = PRT.
Explanation:To calculate the amount of interest Kara pays on a loan of $3650 at an annual interest rate of 16%, we use the formula for simple interest, which is:
I = PRT
Where:
I is the interestP is the principal amount (the initial amount of the loan)R is the annual interest rate (in decimal form)T is the time the money is borrowed for, in yearsUsing the values given:
P = $3650R = 16% or 0.16 (as a decimal)T = 1 yearWe calculate the interest Kara will pay:
I = 3650 * 0.16 * 1
I = $584
Therefore, Kara will pay $584 in interest after one year.
For every two boys in student council there were five girls if there were nine more girls in student council how many boys were in the club
Please answer question correctly
30 POINTS!
Answer: 3rd option
Step-by-step explanation: The answer would be the third option. Let's go through each one and explain why it's correct or incorrect. First of all, our function is y = x - 3 so we can plug numbers into our X and Y. If we follow the function y = x - 3, we have 8 = 10 - 3 which is incorrect for the first one so that can't be it. For the nest one, we have 13 = 10 - 3 which also does not make sense. For the third one, we have 7 = 10 - 3 which is correct. And the last one, we have 3 = 10 - 2 which is wrong. Therefore, the third option is the answer.
Can somebody explain how to do this
Answer:
y ≤ 11x + 17
Step-by-step explanation:
Slope - Intercept form looks like:
y = mx + b, where m is the slope of the line and b is the y-intercept
so, for
11x - y ≥ -17 ( Rearrange, move x-term to other side)
- y ≥ -17 - 11x
- y ≥ - (17 + 11x) (multiply both sides by -1, remember to flip the inequality)
y ≤ 17 + 11x
y ≤ 11x + 17 (answer)
The ratio of the width to the length of a flower is 10:19. How long is the flower bed if it’s width is 6 feet?
What value of x is in the solution set of 2x - 3> 11 - 5x?
Answer:
see explanation
Step-by-step explanation:
Given
2x - 3 > 11 - 5x ( add 5x to both side )
7x - 3 > 11 ( add 3 to both sides )
7x > 14 ( divide both sides by 7 )
x > 2 ← solution
Hence x can be any value greater than 2, that is
x = 3, 4, 5, ......... or
x = 2.1
the geometric figure shown below consistes of a square and 4 semicircles. the diameter of the semicircle are the sides of the square, and each diameter is 15 centimeters long. which of the following is the clossest aproximation of this geometeric figure
answers?
225
350
580
600
700
The combined area of a square and 4 semicircles with each semicircle's diameter equal to the side length (15 cm) of the square is approximately 578.42 cm², hence the closest approximation is 580 cm².
Explanation:To find the closest approximation of the area of a figure that consists of a square and 4 semicircles, where the diameter of each semicircle is equal to the sides of the square (15 cm), we must first calculate the area of the square and then the combined area of the semicircles.
The area of the square (Area_square) is given by the formula:
Area_square = side × side = 15 cm × 15 cm = 225 cm²The area of a full circle with a diameter of 15 cm is:
Area_circle = πr²Since the diameter is 15 cm, the radius (r) is 7.5 cmArea_circle = π(7.5 cm)² ≈ 176.71 cm²The total area of the 4 semicircles is:
Total_semicircles_area = 4 * (0.5 * Area_circle) = 2 * Area_circle ≈ 2 * 176.71 cm² ≈ 353.42 cm²Add the area of the square to the combined area of the 4 semicircles to obtain the total area:
Total_area = Area_square + Total_semicircles_area ≈ 225 cm² + 353.42 cm² ≈ 578.42 cm²Based on this calculation, the closest approximation from the options provided is 580 cm².
what number ten more than 985
[tex]\text{Hey there!}\\\text{What number ten more than 985?}\\\\\text{In order for you to find the number that's 10 more than 985. you can}\\\text{add 10 plus the number 985}\\\\\text{So, 985 + 10 = ? }\\\\\text{? = the mystery number}\\\\\text 10 + 985 = 995}\\\\\boxed{\boxed{\text{Answer: 995}}}\checkmark[/tex]
[tex]\text{We added because you put the word MORE in the sentence}\\\text{And more can mean GO UPWARD}[/tex]
[tex]\text{If you were to say less than you would have to subtract. Since,}\\\text{you are going downward }[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]
Matching inequalities with statements
Answer:
closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.
HURRY
How will the volume of the prism change if each side is increased by a factor of 4?
The volume will be 2 times the original volume.
The volume will be 4 times the original volume.
The volume will be 16 times the original volume.
The volume will be 64 times the original volume.
Answer:
64
Step-by-step explanation:
The volume of a prism is defined by the product of its length (L) times its width (W) times its Height (H): [tex]Volume= L * W * H[/tex]
So, if these dimensions are increased each by a factor of 4, the volume now becomes:
[tex]Volume= 4L *4 W * 4 H = 64 L*W*H[/tex]
That is 64 times the original volume LWH
Answer:
64
Step-by-step explanation:
4l x 4w x 4h
the additional is 4 x 4 x 4 = 64
¿Cómo se escribe una y media, media en números?
The "one and a half" is written as 1.5, and "half" is written as 0.5 when using decimal notation.
To write "one and a half" and "half" in numbers, you use the decimal representation. "One and a half" is equivalent to 1.5, and "half" is equivalent to 0.5.
In decimal form, numbers are represented with a whole number portion followed by a decimal point and a fractional portion. The whole number portion is "1" for "one," and the fractional portion is "0.5" for "half." When combined, you get "1.5," which represents "one and a half."
Similarly, for "half," the whole number portion is "0," and the fractional portion is "0.5." When combined, you get "0.5," which represents "half."
To summarize, "one and a half" is written as 1.5, and "half" is written as 0.5 when using decimal notation. These representations are commonly used in mathematics, measurements, and various other contexts for expressing quantities in numeric form.
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The question is:
How do you write one and a half, half in numbers?
Name the expression based on its degree and number of terms. 7a3 + 4a - 12
A.
cubic trinomial
B.
cubic monomial
C.
fourth degree trinomial
Answer:
21ax+4a−12
Step-by-step explanation:
(15 POINTS!) The graph shows the distance a ghost crab can run over time the D equals the distance in meters and the t equal the time in seconds which is a direct variation equation for this relationship
A. d= 3/5t
B. d = 5/3t
C. t= 5/3d
D. t= 2/5d
Answer:
Option B. d = 5/3t
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
d -----> the distance in meters
t ----> the time in seconds
Looking at the graph we have the point (3,5)
That means ----> For t=3 sec, d=5 m
Find the value of k
[tex]k=d/t[/tex]
substitute the value of y and the value of x
[tex]k=5/3[/tex]
The linear equation is
[tex]d=kt[/tex]
substitute the value of k
[tex]d=\frac{5}{3}t[/tex]
Martha spent $2.90 on 3 1\2 pounds of bananas. How much did she spend on each pound of bananas
I think th answer is $0.82.
Hope this helps
Answer:
$ 0.83 on one pound
Step-by-step explanation:
Given: Martha spent $2.90 on 3 1\2 pounds of bananas.
To Find: How much did she spend on each pound of bananas
Solution:
Amount spent by martha on bananas = [tex]\$[/tex] [tex]2.90[/tex]
Quantity of bananas bought = [tex]3\frac{1}{2}[/tex] [tex]\text{pound}[/tex]
= [tex]\frac{7}{2}[/tex] [tex]\text{pound}[/tex]
Now,
Martha spent [tex]\$[/tex] [tex]2.90[/tex] on = [tex]\frac{7}{2}[/tex] [tex]\text{pound}[/tex] of bananas
therefore,
Amount spent by Martha on one pound of banana= [tex]\frac{\text{quantity of banana bought}}{\text{Amount spent on bananas}}[/tex]
= [tex]\frac{2.90}{\frac{7}{2}}[/tex]
= [tex]\frac{2.90\times2}{7}[/tex]
= [tex]\$[/tex] [tex]0.83[/tex]
Hence amount spent by martha on one pound of banana is [tex]\$[/tex] [tex]0.83[/tex]
WHO EVER ANSWERS FIRST GETS BRAINLIEST
Choose the missing step in the given solution to the inequality −x − 3 < 13 + 3x.
−x − 3 < 13 + 3x
___________
−4x < 16
x > −4
−4x − 3 > 13
2x − 3 < 13
−4x − 3 < 13
2x − 3 > 13
Answer:
-x - 3 < 13 + 3x+3 +3
-x < 16 + 3x
-3x - 3x
-4x < 16
-4 -4
x > -4
2. -4x - 3 <13
+3 +3
-4x < 16
-4 -4
x > -4
3. 2x - 3 < 13
2x -3+3 < 13+3
2x < 16
2 2
x < 8
4. -4x - 3 > 13
-4x -3+3 > 13+3
-4x > 16
-4 -4
x < -4
5. 2x - 3 > 13
2x -3+3 > 13+3
2x > 16
2 2
x > 8
Natalie won 91 super bouncy balls playing
basketball at the county fair. At school she
gave three to every student in her math class.
She only has 1 remaining. How many
students are in her class?
A fish starts at -9 meters and changes -11 meters
Answer:
the growth difference would be -3
Step-by-step explanation:
The final elevation of a fish starts at -9 meters and changes -11 meters is -20 meters.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Given that, a fish starts at -9 meters and changes -11 meters.
The fish starts at -9 meter than swims down another 11 meters which results in being -20 meters because it is below sea level.
Therefore, the final elevation of a fish starts at -9 meters and changes -11 meters is -20 meters.
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"Your question is incomplete, probably the complete question/missing part is:"
What’s the final elevation if a fish starts at -9 meters and changes -11 meters?
the square root of 125 is between what two numbers
The square root of 125 is 11.18 and it lies between 11 and 12.
Square root of 125 falls between which two numbers to be determine.
Square root of number is the fractional power to the values.
Square root of 125
[tex]=\sqrt{125} \\=11.18[/tex]
Here, 11.18 lies between 11 and 12.
Thus, the square root of 125 is 11.18 and it lies between 11 and 12.
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Suppose you plan to purchase 10 items that each cost 4.45. Explain how you use mental math to to find the cost of 10 items
Answer:
44.5
Step-by-step explanation:
Multiplying 10 with 4.45 using mental math to find the total cost of 10 items. first multiply 0 with 445 which will yield 000, then multiply 1 with 445 which will yield 445 now put a cross beneath last 0 in 000 and write 445 before it and perform addition which will yield 4450 as the decimal was initially was before the second last digit in 4.45, place it accordingly in 4450 which will yield 44.5.
3.7x0.4 =
Is equal to the number 1.48
Please answer this correctly
3:80
This is because 80 people out of 83 were in favor of the law. This means that the last three people are against the law. Therefore, your answer is 3:80.
Answer: =41.5
Step-by-step explanation: since she vote for 80 and the total is 83
the ration will be half of her votes pie/2 - any number you want it to solve
pie/2 - 83=41.5
0.7 dividee by 0.35
Answer:
2
Step-by-step explanation:
We can find this because it's asking how many times 0.35 goes into 0.7.
Here's an easier example without decimals:
10 / 2 = 5
This is asking how many times 2 goes into 10. The second number in the equation is asking how many times it can go into the first number. In this case, 2 goes into 10 five times.
So in this case, 0.35 goes into 0.7 2 times. To make it easier, you can also do 70 / 35, which makes it easier without the decimals.
Hope this helps!
Answer: 2
Step-by-step explanation: To divide decimal numbers:
1. If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
2. Divide as usual. ...
3. Put decimal point directly above decimal point in the dividend.
4. Check your answer for reasonableness.
The formula C-2πr relates the radius
of a circle to its circumference C. Solve
the formula for r.
C = 2πr
Divide both sides by 2π.
C/2π = r
Done.
What is the volume of the box pictured below?
Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.
Sameuel Wants to deposit $4,000 and keep that money in the bank without deposits or withdrawals for 3 years. How much interest will pay with 1.5% interest compounded continuously ?
Answer:
$4,182.71
Step-by-step explanation:
$182.71 will be added in interest after 3 years.
The cost of tickets varies directly with the number of tickets. Suppose 7 tickets cost $126. How much would
12 tickets cost?
A. $180
B.$216
C.$252
D.$18
Answer:
B.$216
Step-by-step explanation:
prove (A-B)u(A-C)=A-(BnC)
Answer:
A-(B ⋂ ⋂C)=(A-B) ⋃ ⋃(A-C) If A-B={xlx ∈ ∈A and x ∉ ∉B} A-C={xlx ∈ ∈A and x ∉ ∉C} then (A-B) ⋃ ⋃(A-C)={xlx ∈ ∈A, x ∉ ∉(B and C) Let X=A and Y=(B ⋂ ⋂C) X-Y={xlx ∈ ∈X and x ∉ ∉Y} x ∉ ∉Y x ∉ ∉(B ⋂ ⋂C) x ∉ ∉(B and C) Therefore, A-(B ⋂ ⋂C)=(A-B) ⋃ ⋃(A-C).
Step-by-step explanation:
Simplest form for 4/15X18
a sewage treatment plant has two inlet pipes to its settling pond. one piece can fill the pond 3 times as fast as the other pipe, and together they can fill the pond in 12 hours. how long will it take the faster pipe to fill the pond alone
Answer:
The faster pipe will take 16 hours to fill the pond alone
Step-by-step explanation:
* Lets explain how to solve the problem
- A sewage treatment plant has two inlet pipes to its settling pond
- One pipe can fill the pond 3 times as fast as the other pipe
∴ The rate of the faster pipe is 3 times the rate of the second pipe
- The rate and the time are inverse proportion because;
time = job/rate and the job here is constant (fill pool), then
time × rate = constant
∵ The rate of the faster pipe is 3 times the rate of the second pipe
∴ The time of the second pipe is 3 times the time of the faster pipe
- Assume that the time of the faster pipe is t
∵ The time of the faster pipe is t
∴ The time of the second pipe is 3t
- Together they can fill the pond in 12 hours
∴ [tex]\frac{1}{3t}+\frac{1}{t}=\frac{1}{12}[/tex]
- The L.C.M of 3t and t is 3t
∴ [tex]\frac{1}{3t}+\frac{3}{3t}=\frac{1}{12}[/tex]
∴ [tex]\frac{1+3}{3t}=\frac{1}{12}[/tex]
∴ [tex]\frac{4}{3t}=\frac{1}{12}[/tex]
- By using cross multiplication
∴ 48 = 3t
- Divide both sides by 3
∴ t = 16
∵ t represents the time of the faster pipe
∴ The time of the first pipe is 16 hours
* The faster pipe will take 16 hours to fill the pond alone
Final answer:
The faster pipe will take 6 hours to fill the sewage treatment pond by itself, calculated by setting up and solving a rate problem based on the information provided.
Explanation:
To determine how long it will take for the faster pipe to fill the sewage treatment pond alone, we can set up a rate problem where the pipes are filling the pond at their rates and a combined rate.
Let's define the rate of the slower pipe as 1/x ponds per hour (where x is the number of hours it takes the slower pipe alone to fill the pond). This means that the faster pipe works at a rate of 3/x (since it's three times as fast).
Combined, their rate is 1/12 ponds per hour (because together they fill the pond in 12 hours). Our equation will now look like this: 1/x + 3/x = 1/12.
Solving this equation, we find that x, the time it takes for the slower pipe to fill the pond alone, is 18 hours. Therefore, the faster pipe, being three times as fast, will take 18 hours divided by 3, which equals 6 hours to fill the pond alone.
what is 24-{[16-(8-1)]×2) please show the work
Answer:
6
Step-by-step explanation:
24-{[16-(8-1)]×2}
24-{[16-( 7 )]×2}
24-{[ 16 - 7 ]×2}
24-{[ 9 ]×2}
24-{ 9×2 }
24 - 18
6
round 427963 to the nearest hundred
Answer:
428,000
Step-by-step explanation:
You round the hundreds place
Final answer:
Rounding the number 427963 to the nearest hundred results in 428000, because the tens digit is 6 which indicates that we should round up.
Explanation:
To round the number 427963 to the nearest hundred, we need to look at the tens digit, which in this case is 6. Since the tens digit is 5 or more, we round up the hundreds place. This means that 427963 rounded to the nearest hundred is 428000.Rounding the number 427963 to the nearest hundred involves examining the tens digit, which is 6.
Since the tens digit is 5 or more, we round up the hundreds place.
Therefore, 427963 rounded to the nearest hundred is 428000.