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.
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:
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
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
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
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
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.
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
What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}
Answer:
Range: {6,0,-3}
Step-by-step explanation:
Can someone help me please
what is 3,101 divided by 16 as a decimal please help
Answer:
193.8125
Step-by-step explanation:
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
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.
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 the mean of this data set?
2, 3, 7, 4, 9
A. 4
B. 5
C. 6
D. 7
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
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
Help me with this Fraction problem please, IT's Simple
Answer:
x=2
Step-by-step explanation:
26 divided by 13 is 2
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]
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:
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.
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
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
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
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]
what is 0.348 repeating with 48 only repeating as a decimal
Answer:
[tex]\frac{23}{66}[/tex]
Step-by-step explanation:
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
23.98-1.72.7.6 =????? Please help me!!!
Answer:
-75.7224
Step-by-step explanation:
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.
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.
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