Answer:
Laura will pay an interest of $75,600.
Step-by-step explanation:
Our formula: A = P(1 + rt)
Principal = $105,000
Rate = 6%
Time = 12 years
A (amount)= 105,000(1 + (0.06 × 12)) = 180,600
$180,600 - $105,000 = $75,600.
What is the mean of this data set?
2, 3, 7, 4, 9
A. 4
B. 5
C. 6
D. 7
Anna purchased a new car for $25,000. The car will decrease in value 15% each year.
The value of Anna's car is modeled on the graph by function f where x is the time in years after Anna purchases her car.
I will assume that we want to find the function that predicts the value of the car after x years, which likely is an exponential decay.
The function is: f(x) = $25,000*(0.85)^x
And the graph can be seen at the end of the answer.
We know that the value of the car decreases by 15% each year, then we can model this with an exponential decay.
The general exponential decay is given by:
f(x) = A*(1 - r)^x
Where:
A is the initial value, then we have A = $25,000
x is the variable, in this case, would represent time in years.
r is the rate of decay, in this case, is the quotient between the percentage that decreases and 100%, so we will get: r = 15%/100% = 0.15
Then the exponential equation is:
f(x) = $25,000*(1 - 0.15)^x
= $25,000*(0.85)^x
This is the function that models the value of the car after x years, the graph can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/19599469
Find the measure of one interior angle in each regular polygon. Round to the nearest tenth if necessary
Answer:
154.3
Step-by-step explanation:
Use the formula 180(x-2)
Then divide your answer by x
X is the number of sides
Which of the following is an arithmetic sequence?
A.
3, 9, 81, 6561, …
B.
4, 1, −2, −5, …
C.
2, −2, 2, −2, …
D.
4, 1, 4, 7, …
Answer:
D
Step-by-step explanation:
Answer:
It's the B
Step-by-step explanation:
The arithmetic sequence here is made by subtracting 3 every time
Hope this helps, have a good day
HELP PLEASE
If X represents the number of pictures, write an equality to represent the situation!
Answer:
The Drama Club needs to sell more than 3 pictures to make a profit.
The inequality 10x ≥ 2.55x +25 represents the situation.
Step-by-step explanation:
Given that:
Rent for lighting equipment = $25
Price per print = $2.55
Selling price of one picture = $10
x be the number of pictures.
Selling price * No. of pictures sold ≥ Price of per print * pictures printed + rent
10x ≥ 2.55x +25
10x-2.55x≥25
7.45x≥25
Dividing both sides by 7.45
[tex]\frac{7.45x}{7.45}\geq \frac{25}{7.45}\\x\geq 3.35[/tex]
Hence,
The Drama Club needs to sell more than 3 pictures to make a profit.
The inequality 10x ≥ 2.55x +25 represents the situation.
Identify which triangle property of congruence proves the two triangles to be congruent,
Answer:
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
Step-by-step explanation:
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
Answer:
the HL property
Step-by-step explanation:
What is the ratio of 1.5 inch screws to 2.5 inch screws?
Step-by-step explanation:
1.5 : 2.5
= 1.5/2.5
15/25
3/5
the ratio is 3 : 5
The ratio of 1.5-inch screws to 2.5-inch screws is 3/5.
Given,
- 1.5 inch screws
- 2.5-inch screws
We need to find what is the ratio of 1.5-inch screws to 2.5-inch screws.
What are ratios?Ratios are denoted by A:B.
Example: 1/2, 3/4
If two ratios are equal we called the ratios are in proportion.
Example:
1/2 and 5/10
5/10 = 1/2
We have,
1.5 and 2.5
We can write it as:
= 1.5 : 2.5
= 1.5 / 2.5
= 150 / 250
= 15/25
= 5x3 / 5x5
= 3/5
Thus the ratio of 1.5 and 2.5 is 3/5,
Learn more about how to find equivalent ratios here:
https://brainly.com/question/2462048
#SPJ2
Can someone help me please
Tessa's class had a math exam
What does N(8)>2×N(5) mean
Answer:
The number of students whose grade was 8 is more than twice the number of students whose grade was 5.
Step-by-step explanation:
N(8) models the number of students whose grades on exam was g.
(The answer is correct, I did it on Khan Academy
I will will give brainliest to whoever answers correct
(Please I need this ASAP )
Answer:
1=3.5 2=10/3
Step-by-step explanation:
they pass each other at the point (3.5,3).
if you find the exact form for both equations you get 10/3 for both
Help me with this Fraction problem please, IT's Simple
Answer:
x=2
Step-by-step explanation:
26 divided by 13 is 2
Lauren's cat weighs 3 pounds more than half of Adrian's cat. Lauren's cat weighs 10 pounds.
What equation can be used to find w, the weight of Adrian's cat?
Answer:
w = weight of Adrian's cat
c = weight of Lauren's cat
c = 3 + w/2
given: c=10
10 = 3 + w/2
Solve to get 'w': 20=6+w; w=14 pounds
Step-by-step explanation:
what is 3,101 divided by 16 as a decimal please help
Answer:
193.8125
Step-by-step explanation:
please look at picture and help me!!?
Answer:
C
Step-by-step explanation:
the fraction 2/3 is in between 0 and 1 and C is the only plotted point that could represent the fraction.
I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball team, 5 players are sophomores, 11 are juniors, and 13 are seniors. The team selects 4 honorary co-captains by drawing names from a hat. What's the probability that all 4 co-captains come from the same class?
Answer:
The probability is 0.0442
Step-by-step explanation:
If they all come from the same class, what it means is that we select 4 sophomores or , 4 juniors or 4 seniors
When we have or, it means we are to add each possible probability scenarios
The total number from which we want to select from is;
5 + 11 + 13 = 29
So the probability will be;
5C4/29C4 or 11C4/29C4 or 13C4/29C4
= 5C4/29C4 + 11C4/29C4 + 13C4/29C4
=0.0442
fine the slope of the line that passes through the points (2,4) and (3,-2)
Answer:
slope = -6
Step-by-step explanation:
slope = Δy/Δx
slope = (4+2)/(2-3)
= 6/-1
slope = -6
A credit card company applies a 6% fee on all transactions under $10. You purchased coffee for $4.80. What fee amount will be applied to your bill? * This is a required question
Answer:
$5.08
Step-by-step explanation:
Step one:
given data
We are told that a credit card company applies a 6% fee on all transactions under $10
since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable
so
=6% of 4.80
=6/100*4.80
=0.06*4.8
=$0.288
Step two:
the total fee will be
=0.288+4.80
= $5.08
what is 0.348 repeating with 48 only repeating as a decimal
Answer:
[tex]\frac{23}{66}[/tex]
Step-by-step explanation:
Please help, DUE TODAY. If correct I will mark Brainliest.
Answer:
222
Step-by-step explanation:
Closely pay attention to the transversal line running from up-left to down-right.
y) you will notice that the angle to the right of z is corresponding with 50 then 50 will be vertically opposite 6y + 2 hence making them equal.
6y - 2 = 50
6y = 50 - 2
6y = 48
y = 6
z) vertically opposite angles are equal hence the 50 will be equal to the empty space in the triangle.
z + 60 + 50 = 180
z + 110 = 180
z = 180 - 110
z = 70
2y + 3z
2(6) + 3(70)
12 + 210
= 222
Write the equation of the line perpendicular to y=4/3x+1 that passes through the points (-8, 4).
Answer:
The equation is;
y = -3/4x + 12
Step-by-step explanation:
The general form for the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
With respect to this question;
4/3 is the slope and 1 is the intercept
If two lines are perpendicular, then the product of their slopes is -1
Mathematically;
4/3 * m2 = -1
m2 = -3/4
So to find the equation of this second line, we use the point slope form
This is;
y-y1 = m(x-x1)
y-4 = -3/4(x + 8)
y- 4 = -3/4x + 8
y = -3/4x + 12
Which of the following represents 3x - 5y+ 10 = 0 written in slope-intercept form?
oy=x-2
O y=x+2
O y=-3x+2
Answer:
[tex]y = \frac{3}{5}x + 2[/tex]
Step-by-step explanation:
3x - 5y + 10 = 0
-5y = -3x - 10
[tex]y = \frac{-3}{-5}x - \frac{10}{-5}\\\\ y = \frac{3}{5}x + 2[/tex]
1. solve for x
2(-3x+1) < -5x+14
2. -2(3x+15) less than or equal to 42
Answer:
For your first question, the solution is x> -12
Step-by-step explanation:
First, expand 2(-3x+1), writing it as -6x+2
Next, subtract both sides by 2;
-6x + 2 - 2 < -5x + 14 - 2
Then, we simplify;
-6x < -5x + 12
Next, add both sides to 5x;
-6x + 5x < -5x + 12 + 5x
Simplify;
-x<12
Then, multiply both sides by -1, using reverse of inequality;
(-x)(-1)>12(-1)
Finally, simplify;
x>-12
Answer:
The answer to your second question is x is greater than or equal to -12.
Step-by-step explanation:
First, multiply both sides by -1, reversing the inequality;
(-2(3x+15))(-1) greater than or equal to 42(-1)
Next, simplify;
2(3x+15) greater than or equal to -42
Then, divide 2 from both sides;
2(3x+15/2 greater than or equal to -42/2
Next, simplify;
3x + 15 greater than or equal to -21
Then, we subtract both sides by 15;
3x+15-15 greater than or equal to -21-15
Simplify;
3x greater than or equal to -36
Next, divide 3 from both sides;
3x/3 greater than or equal to -36/3
Finally, simplify;
x greater than or equal to -12
I hope we helped you answer your question.
A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area?
A) The value must be exactly 1 or -1 to indicate a linear model is the most appropriate model.
B) The value must be 0 to indicate a linear model is the most appropriate model.
C) A causal relationship should be established first before determining the most appropriate model.
D) The value of 0.94 implies that only 88% of the data have a linear relationship.
E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
Answer: E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
Step-by-step explanation:
The correlation Coefficient of 0.94 obtained is peculiar to the linear model upon which the data was represented. Since the correlation Coefficient usually span between - 1 to + 1, it is very possible that, if the dataset is represented on a different model such as an exponential or quadratic model, the correlation percentage obtained may be better than that produced by the linear model.
8. mABC
(20x - 15)
Β Α
Answer:
Step-by-step explanation:
20 X _15 = 5X +90
15 X =105
X= 7
< A = 35
<B = 55
solve for x please
Answer:
129
Step-by-step explanation:
The sum of all angles in any quadrilateral is 360°
so, you can make the following equation:
71 + 48 + 112 + x = 360
231 + x = 360
Subtract 231 from both sides of the equation
231 + x - 231 = 360 - 231
x = 360 - 231
x = 129
Step-by-step explanation:
The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°
To solve for x ;
[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]
23.98-1.72.7.6 =????? Please help me!!!
Answer:
-75.7224
Step-by-step explanation:
What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}
Answer:
Range: {6,0,-3}
Step-by-step explanation:
What is $47.25 marked down 60% PLEASE HELP 10 POINTS WILL GIVE BRAINLIEST
ANSWER:
$18.90
EXPLAINATION:
To solve, the key word here is "marked down". This means that it is going down by 60%. Subtract 100%-60% which is 40%. Now, always remember that 1% = 0.01. SO 40% will be 0.4.
Multiply 47.25x0.4 = answer
18.90 will be the answer
Jennifer had 3 \frac{3}{4}
4
3
lbs of tomatoes. She used \frac{1}{3}
3
1
OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)
Answer:
She used 1/4 of a pounds for salad
Step-by-step explanation:
Here, we want to calculate the amount of pounds of tomatoes used to make salad
From the question, she has 3/4 pounds and used 1/3 of what she has to make salad
What she used will be;
3/4 * 1/3 = 1/4
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.
Answer: See explanation
Step-by-step explanation:
Here is the complete question:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.
A. Students: 72
Minimum of chaperones: 9
B. Students: 16
Minimum of chaperones: 2
C. Students: 60
Minimum of chaperones: 6
D. Students: 45
Minimum of chaperones: 5
E. Students: 40
Minimum of chaperones: 8
Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.
We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:
Students: 72
Minimum of chaperones: 9
This will be: 72/9 = 8
Therefore, this is correct.
B. Students: 16
Minimum of chaperones: 2
This will be: 16/2 = 8
This is correct
C. Students: 60
Minimum of chaperones: 6
This will be: = 60/6 = 10.
Therefore, this is wrong
D. Students: 45
Minimum of chaperones: 5
This will be 45/5 = 9
Therefore, this is wrong.
E. Students: 40
Minimum of chaperones: 8
This will be: 40/5 = 8.
Therefore, this is wrong.
Therefore, options A and B are correct.