Answer:
A. 7%
Step-by-step explanation:
Given the following data;
Principal, P = $2,000
Time, T = 2 years
Simple Interest, I = $280
To find the simple interest rate, R?
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest. P is the principal. R is the interest rate. T is the time.Substituting into the equation, we have;
[tex] 280 = \frac {2000*R*2}{100} [/tex]
Cross-multiplying, we have;
[tex] 280 * 100 = 4000*R[/tex]
[tex] 28000 = 4000R [/tex]
[tex] R = \frac {28000}{4000} [/tex]
Simple interest rate, R = 7%
The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answer:
[tex]y = 1125x+30000[/tex] --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990
[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{48000-30000}{16-0}[/tex]
[tex]m = \frac{18000}{16}[/tex]
[tex]m = 1125[/tex]
The equation is then calculated as:
[tex]y = m(x-x_1)+y_1[/tex]
This gives:
[tex]y = 1125(x-0)+30000[/tex]
Open bracket
[tex]y = 1125x-0+30000[/tex]
[tex]y = 1125x+30000[/tex]
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in [tex]y = 1125x+30000[/tex]
[tex]y = 1125*40 +30000[/tex]
[tex]y = 45000 +30000[/tex]
[tex]y = 75000[/tex]
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]
24x=48
x=2
Which statement is true based on the graph ?
Answer:
C: The speed increases from A to F
Step-by-step explanation:
Check each node A to F including A and F.
B is higher than A, C is higher than B, ...
This is true for all of them, so it is increasing.
The speed of the car is increasing in the time interval from point A to point F. Option C is correct.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
What is the graph?The graph depicts the relationship between the x and y axes through the use of curves.
Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,
Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.
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Please help me
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern?
Answer:
24 Blocks
Step-by-step explanation:
Hope this helps
Answer:
24 blocks
Step-by-step explanation:
Hope this helped
If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.
Answer:
right
Step-by-step explanation:
Answer:
Isoceles
Step-by-step explanation:
An isoceles triangle has 2 congruent sides.
What is 5(4+6) x 6 =?
Answer:
300
Step-by-step explanation:
Evaluate the expression for a=3 and b=1/4. 5a−16b+7
Answer:
18
Step-by-step explanation:
you have to multiply 5 and 3(which gives you 15) first, then move on to16 times 1/4 which gives you 4 then just add 7 and your done.
Calculate and give your answer
its simplest form.
8 /7
X
7/8
Your answer
Answer:
1 I believe if your asking in in simplified form and if 8/7 and 7/8 are multiplied
Step-by-step explanation:
4)
Which expression is equivalent to 3x + x + y?
A)
4xy
B)
5xy
0
3 + xy
Highlight
D)
4x + y
Time
Remaining
Answer:
D.) 4x + y
Step-by-step explanation:
3x + x + y
Add 3 x and x .
4 x + y
The equations of four lines are given. Identify which lines are parallel. Line 1: y=1/2x-6. Line 2: x-2y=-1. Line 3: y=4x+6. Line 4: y+3=1/4(x-6)
Answer:
Lines 1 and 2 are parallel because they have the same slope
Step-by-step explanation:
slope of line 1 = 1/2
slope of line 2 = 1/2
slope of line 3 = 4
slope of line 4 = 14
how to find slope of line 2, solve for 'y':
x - 2y = -1
-2y = x - 1
y = 1/2x + 2
how to find slope of line 4, simplify for 'y':
y + 3 = 1/4x - 1/4(6)
y = 1/4x - 6/4 - 3
y = 1/4x -6/4 - 12/4
y = 1/4x - 18/4
What is 85.92 divided by 4
[tex]correct is it Because Correct[/tex]A.
Answer:
The answer of your question : 85.92 divided by 4 is equal to (21.48)
HELP! WILL GIVE BRANLIEST!
10 in each do 10 times 3 then subtract total
2h 15m +1h 50m +1h 40m+ 44m+2h 35m+1h 6m+1h 22m
Answer:
11 h and 32 m is the answer
PLS, I NEED HELP! Translate this sentence into a compound inequality with math symbols.
Springfield’s monthly temperatures range from a high of 101o F to a low of – 8o F.
Answer:
8o F at least I'm pretty sure 101o F ≥ 8o
Step-by-step explanation:
Correct me If im wrong
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?
The commission (in dollars) did he earn last month is 540$.
We have given
A salesman earns 6% commission on all the merchandise that he sells.
Last month he sold $9000 worth of merchandise.
Salesman earns 6% =6/100=0 .06
What is the meaning of commission?
Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.
So we have to determine 6% of 9000
We can be written as
=0.06 x 9000,
= 540$
The commission (in dollars) did he earn last month is 540$.
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The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.
The store is selling lemons at $0.46 each. Each lemon yields about 2 tablespoons ofjuice. How much
will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of
lemon juice?
Answer:
12 lemons, $5.52
Step-by-step explanation:
Suppose that 8% of all cars produced at Plant A have a certain defect, and 5\% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A - B) between the proportions of cars with the defect in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer:
The answer is "Choice d"
Step-by-step explanation:
Please find the complete question in the attached file.
Faulty factory cars in a plant [tex]A = 8\% \ of\ 150 \ = 12 > 10[/tex]
Faulty factory cars in a plant [tex]B = 5\% \ of \ 150 = 7.5 < 10[/tex]
This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
what's the area of a triangle, rectangle, parallelogram
Answer:
Triangle Area = ½ × b × h b = base h = vertical height
Rectangle Area = w × h w = width h = height
Parallelogram Area = b × h b = base h = vertical height
Step-by-step explanation:
:)
Answer:
area
triangle = 1/2 x base x height
rectangle = base x height
parallelogram = base x height
Step-by-step explanation:
Write a plan to prove that angle 1 is congruent to angle 2
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
What are the factors of 11
Answer:
1, 11
Step-by-step explanation:
Answer:
The factors of 11 are 1 and 11. As 1 ×11 is 11 and 11 × 1 is also 11. The number 11 is a prime number. A prime number is one that has only two factors, 1 and the number itself.
Step-by-step explanation:
Find the equation of the line that is perpendicular to the x-axis and passes through the point (14,-9). Give the
full equation as your answer.
Answer:
y = -9
Step-by-step explanation:
a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9
PLEASE PLEASE HELP ASAP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
What is the measure of angle CBE
what is the measure of angle DBE
What is the measure of angle ABD
Answer:
hope this is what u want
and don't mind my handwriting I wrote it as fast as I could
PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft
Answer:
Step-by-step explanation:
h and r are the height and radius of the tank, respectively.
volume = πr²h
πr²·9 = 572π
r = √(572π/(9π)) = √(572/9)
diameter = 2r ≅ 15.9 ft
Write as a single log:
2ln x + 2ln 4
Answer:
2ln 4x or ln (4x)²Step-by-step explanation:
Use properties:
log a + log b = log abn log a = log aⁿSimplify:
2ln x + 2ln 4 = 2(ln x + ln 4) =2ln 4x = ln (4x)²CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
∠U = 26°
∠V = 35°
∠W = 119°
Step-by-step explanation:
Given:
∠U = (x+9)°
∠V = (2x+1)°
∠W = (7x)°
Find:
Value of each angle
Computation:
Using angle sum property
∠U + ∠V + ∠W = 180°
(x+9)° + (2x+1)° + (7x)° = 180°
10x + 10 = 180
x = 17
So,
∠U = (x+9)° = 17 + 9 = 26°
∠V = (2x+1)° = 34 + 1 = 35°
∠W = (7x)° = 7 x 17 = 119°
the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price. if the discount is allowed and customer brought it for Rs 1540 including 10% Vat , what is the discount percent?
Answer:
I corrected my mistakes.
The discount percentage when the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price should be 12.5%.
Calculation of the discount percentage:Since the cost price is 1280
Now the market price be like
= 1280 + 25% of 1280
= 1600
Now the selling price is
[tex]= 1540\div 1.1[/tex]
= 1400
Now the discount percentage should be
[tex]= (1600 - 1400) \div 1600[/tex]
= 12.5%
hence, The discount percentage when the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price should be 12.5%.
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Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.
a) Write a linear equation to describe the total cost of renting the boat.
b) What is the cost of renting the boat for 5 hours?
i need points pleaseeeeeeeeee
Answer:
a) y=8x+12
b) $52
Step-by-step explanation:
for a)
the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.
for b)
in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:
y=8x+12
y=8(5)+12
y=40+12
y=52