[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$15000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]15000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 4}\implies 15000=P(1.015)^{16} \\\\\\ \cfrac{15000}{1.015^{16}}=P\implies 11820.47\approx P[/tex]
A car dealership reported a five-number summary for the selling prices of the last 28 new cars and the last 28 used cars sold. Which of the following are true? (Remember "can" does not imply that it is the car you "want" to buy.") You can buy a used car for less than a new car. Half the used cars sold for no more than any new car. A quarter of the used cars sold for more than a quarter of the new cars. Half of the new cars sold for more than any used car. A fourth of the new cars sold for more than any used car. The range of prices in used cars is more than the range in prices of new cars.
Answer:
East or west back benchers are best
5÷6 is 56. What is 16 of 5?
A. 5/6
B. 6/5
C. 1+1/5
D. 1/5 of 6
e) A parent's age is 11 more than twice their child's age. The parent is 39 years old.
What equation represents the situation?
Answer:
done
Step-by-step explanation:
2x+11=39
what is the measure of
Answer:
56
Step-by-step explanation:
Like I said, all the angles of a triangle ALWAYS add up to 180 degrees (which is a straight angle). It might seem like they don't give angle A for us, but we can see that angle A is a right angle, which is 90 degrees. So, we can add 90 and 34 degrees, and then subtract that from 180.
90 + 34 = 124
180 - 124 = 56
I hope this helps! Have a lovely day! :)
why does the car turn right to leave me alone
Answer:
The car turns right because the person driving hit the right blinkers and wants to go right.
Step-by-step explanation:
common sense
Find the area of the rectangle by using fraction models and using multiplication. What should be true about your answers?
Answer:
7½ ft
Step-by-step explanation:
3¾ × 2
3¾ = 15/4 2= 2/1
15/4 × 2/1
cross multiply so 4 simplifies to 2 and 2 simplifies to 1
15/2 × 1/1 = 15/2
15/2 = 7½ ft
If the third term of geometric series is 3, find the product of its first five terms.
Answer:
Solution
Third term of G.P.=ar2=3
General term =arn−1
Product of first five terms =a5⋅r0+1+2+3+4
=a5r10=(ar2)5
=(3)5
=243.
Which option is equivalent to log 7 - log 2? A. log 5 B. log 7 C. log 9 D. log 7^2
Which of the following equations will produce the graph shown below?
y = 1/2 x² => C
we can see the point ( 2 ; 2)
x = 2
y = 1/2 * 2² = 1/2 * 4 = 2
A company has 15 employees with a salary of $22,000, 12 employees with a salary of $23,100, 16 employees with a salary of $26,300, 4 employees with a salary of $30,100, 4 employees with a salary of $39,000, and 1 employee with a salary of $148,500.
Find the mean salary for the employees
The mean is $5,563.56
What is Arithmetic mean?
Arithmetic mean is also called average it is calculated by summing the values then dividing by the number of sets
(22,000 + 23,100 + 26,300 + 30,100 + 39,000 + 148,500) / (15 + 12 + 16 + 4 + 4 + 1)
= 289,300 / 52
= 5563.46
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How many 1/4 gram doses can be obtained from a 7 1/2 gram vial of medication?
Answer:
30 gram doses
Step-by-step explanation:
First, turn the fractions into decimals.
1/4 gram to .25 gram
7 1/2 gram to 7.5 gram
Then, divide 7.5 total grams by the .25 grams for each dose.
7.5/.25 = 30
Therefore, you can obtain 30 1/4 gram doses from a 7 1/2 gram vial of medication.
Given:
Weight of the vial = [tex]7\frac{1}{2}[/tex] grams
Weight of one dose = [tex]\frac{1}{4}[/tex] gram
To Find:
Number of doses in one vial.
Solution:
Let the number of doses in a vial = n
Therefore, weight of 'n' doses = [tex]n\times \frac{1}{4}[/tex]
= [tex]\frac{n}{4}[/tex] grams
Since, the weight of the n doses is equal to the weight of one vial,
[tex]\frac{n}{4}=7\frac{1}{2}[/tex]
[tex]\frac{n}{4}=\frac{15}{2}[/tex]
[tex]n=\frac{15\times 4}{2}[/tex]
[tex]n=30[/tex] doses
Therefore, 30 doses can be obtained from one vial of medication.
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What is the radius of the circle in the xy-plane that
has center (1,5) and contains the point (4,9)?
[tex] \huge \qquad \sf \underline{\boxed{ {☘ \sf Sσlutiσn}}}[/tex]
The distance between the centre and any point satisfying the circle is its radius ~
Hence, the distance between the points is equal to length of radius.
[tex]\qquad \sf \dashrightarrow \: r = \sqrt{(4 - 1) {}^{2} + (9 - 5) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: r = \sqrt{(3) {}^{2} + (4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: r = \sqrt{9 + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: r = \sqrt{25} [/tex]
[tex]\qquad \sf \dashrightarrow \: r = 5[/tex]
As we know, equation of a circle is :
[tex] \qquad \sf(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
where,
h = x - coordinate of centre k = y - coordinate of centre r = radius of the circleHence, equation of our required clrcle is :
[tex] \qquad \sf(x -1 ) {}^{2} + (y - 5) {}^{2} = {5}^{2} [/tex]
The radius of the circle that has center (1,5) and contains the point (4,9) is 5 units
How to determine the radius of the circle?The center of the circle is given as:
Center (a,b) = (1,5)
The point on the circle is given as:
Point (x,y) = (4,9)
The radius is calculated using the following distance equation
[tex]r = \sqrt{(x - a)^2 + (y - b)^2}[/tex]
So, we have:
[tex]r = \sqrt{(4 - 1)^2 + (9 - 5)^2}[/tex]
Evaluate the exponents
[tex]r = \sqrt{25}[/tex]
Take the square root of 5
r = 5
Hence, the radius of the circle is 5 units
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4. The area of a rectangular vegetable garden is (12u2 - 8u - 15)m?
Which of the following are the expressions to determine the
dimensions?
A. L = (3u-5)m; W = (4u + 3)m
B. L= (bu + 5)m; W = (2-3)m
C. L = (6u - 3)m; W = (2u - 5)m
D. L = (12u - 15)m; W = (u + 1)m
plsss answerre huhu helppp
Answer:
L = (6u + 5)m ; W = (2u-3)m
Step-by-step explanation:
Given;
Area of the rectangular vegetable garden, A = (12u² - 8u - 15)m²
Let the length of the rectangular vegetable garden = L
Let the width of the rectangular vegetable garden = W
A = L x W
Factorize the given area;
= 12u² - 8u - 15
= 12u² -18u + 10u - 15
= 6u(2u - 3) + 5(2u - 3)
= (6u + 5)(2u-3)
Thus, L = (6u + 5)m and W = (2u-3)m
Option B, is the right solution, although it was wrongly typed.
Which relationships describe angles 1 and 2?
Select each correct answer.
-vertical angles
-complementary angles
-adjacent angles
-supplementary angles
Answer:
supplementary angles
Step-by-step explanation:
both of them combined make the angle 180°
Finding the original price given the sale price and percent...
At a sale this week, a sofa is being sold for $234. This is a 28% discount from the original price.
What is the original price
Answer:
$325
Step-by-step explanation
78% is 234
x is 100%
cross multiply
[tex]\frac{234}{72}[/tex] = [tex]\frac{x}{100}[/tex]
234 × 100 = 72x
23400 = 72x
23400÷72 =72x ÷72
325 = x
The value of the original price of the sofa would be $325.
Used the concept of percentage that is,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that,
At a sale this week, a sofa is being sold for $234.
And, This is a 28% discount from the original price.
Let us assume that the original price = x
Hence, the given condition is written as,
[tex]x - (28\% \ \text{of } x) = 234[/tex]
Solve for x,
[tex]x - (0.28 x) = 234[/tex]
[tex]0.72x = 234\\[/tex]
Divide both sides by 0.72,
[tex]x = \dfrac{234}{0.72}[/tex]
Therefore, the original price would be,
[tex]x = \$325[/tex]
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What is the sum of 4mn | 7mn-5mn
Answer: the sum = 8
Step-by-step explanation:
A line passes through the points (-3, 7) and (6, 4). Which shows the graph of this line?
Answer:
y=-1/3x+6 is the equation of the graph so just use this to find the graph
Step-by-step explanation:
Answer:
where are the images
Step-by-step explanation:
G=-4. Quickly plzzzz. Evaluate expression :)
Answer:
11
Step-by-step explanation:
16 - | g+9|
Let g = -4
16 - | -4+9|
Evaluate inside the absolute value
16 - | 5|
The absolute value of 5 is 5
16 -5
11
Can someone help due in an hour
figure 1 is 130 degrees because a whole line is 180 degrees subtract the 50 boom.
figure 2 is a bit more difficult all together it is 360 y is 30 degrees due to vertical angles and x and z are 150 degrees because 360-60=300 divided by 2 equals 150
figure 3 x is 135 due to vertical angles which makes w and y are 45 because 360-270 equals 90 divide by 2 equals 45
figure 4 is 106 because you add 172 and 82 and then subtract that by 360 there you go. hope this helps you out
i need help with the first one
Answer:
Relative minimum:
(1, - 9)
Answer:
relative minimum
(1,- 9)
On the third day, Anna and Tamara traveled well into the night and double their travel time. On the fourth day, Anna and Tamara lost 4 hours because Anna got sick. Write an algebraic expression that represents how many hours Anna and Tamara travel the last two days.
9514 1404 393
Answer:
3t -4
Step-by-step explanation:
If t represents their normal travel time (in hours), Anna and Tamara traveled 2t on the third day, and t-4 on the fourth day.
The number of hour traveled in the last two days (day 3 and day 4) are ...
2t +(t-4) = 3t-4
Suppose you take a random sample of 30 students who are using a new math text and a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students at the end of the course. Based on state test performance, would you recommend the new math book?
Answer:
a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students
Step-by-step explanation:
Help asap please!!!
The temperature in Smallville is 30°F one morning. It rises 10 over 5 hours. The equation y = 2x+ 30 was given to represent this situation.
Which of the following tables demonstrates the relationship between the time and temperature in Smallville?
A x 0 1 2 . y 0 2 4
B x 0 1 2 . y 30 32 34
C x 30 35 40 . y 0 1 2
D x 30 32 34 . y 0 1 2
Considering the given linear function, it is found that table B represents the situation.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
y = 2x + 30.
Hence, the y-intercept is of b = 30, that is, when x = 0, y = 30, and the slope of m = 2 means that when x increases by 1, y increases by 2, hence table B is the answer for this question.
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Please Help! I will give brainlest! It locks soon!
Answer:
Step-by-step explanation:
2cos²θ - 1 - cosθ = 0
(2cosθ + 1)(cosθ - 1) = 0
cosθ = -1/2, θ = 2π/3, 4π/3
cosθ = 1, θ = 0
so answer is 3rd choice
Graph line y=-2x+5 with no x
Answer:
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-2*x+5)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y+2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y+2x-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/2 Our line therefore "cuts" the x axis at x= 2.50000
x-intercept = 5/2 = 2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 5.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
Geometric figure: Straight Line
Slope = -4.000/2.000 = -2.000
x-intercept = 5/2 = 2.50000
y-intercept = 5/1 = 5.00000
Help anyone??? Tysm
Answer:
1st option (mean: 38; median: 35)
Step-by-step explanation:
Mean is average. Add all values together and divide by amount of values (190/5 = 38). Median is the value that separates the higher half and the lower half from the set of numbers (25 35 35 45 50; 35 separates).
A decimal is never a rational number
True or False
Answer: False
Step-by-step explanation: this is false because Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.
5+5=?...........................
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
because yes
Use a model to divide. 4/5 divided by 6 Express the answer in simplest terms. 2/30 2/15 5/30 1/15
Answer:
2/30 or 5/30
Step-by-step explanation:
The simplest form of the expression is 1/6.
We have,
The concept used to solve the division problem 4/5 divided by 6 is the idea of dividing a fraction by a whole number.
To divide a fraction by a whole number, we can interpret it as finding a fraction of a fraction.
In this case, we want to find 4/5 divided by 6, which can be understood as dividing the fraction 4/5 into 6 equal parts.
To use a model to divide 4/5 by 6, we can represent 4/5 as a fraction bar and divide it into 6 equal parts.
If we divide the fraction 4/5 into 6 equal parts, each part would represent 1/6 of the original fraction.
Therefore,
The simplest form of the expression is 1/6.
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Find the zeros of the function f(x) = 1/3 x^2 + 72