Answer:
area of rectangular park is 2(l+b)2(10+30)2×4080m²total distance = 10×80m² = 800m²Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:
[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to
[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to
[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get
A(t) = 5000(2.001597343) and multiply through to get
A(t) = 10,007.99
Answer:
$10048.31
Step-by-step explanation:
A family eats at a restaurant and the meal is $65, and they leave a tip of 20% of the price of the meal. What is the total with the meal and the tip?
♡ Answer ♡
$78
♡ Step-by-step explanation ♡
In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.
As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.
The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.
So, the total (with the meal and the tip) is $78.
A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!
4) Bobby made $6 on an item he sold for $40. What is the commission
rate that Bobby receives on items he sells? *
O a. 666.67%
O b. 34%
O c.15%
O d. 2.4%
Answer:
C
Step-by-step explanation:
I solved it. I promise it is the right answer
Can someone help with this please? I think it has to do with the Pythagorean theorem.
Answer:
2 sqrt(13)
Step-by-step explanation:
We can use the Pythagorean theorem
The x value between A and B is 4 units and the y value is 6 units
The distance is
d = sqrt( x^2 + y^2)
= sqrt( 4^2 + 6^2)
= sqrt( 16+36)
= sqrt(52)
= sqrt(4*13)
= 2 sqrt(13)
Which set of ordered pairs are solutions to this linear equation?
-4x+y=6
O(-5, -34), (2, 8), (6, 32)
o(-1, 2), (0, -4), (1, -2)
0 (-1, 2), (0, 6), (1, 10)
O(-3, -22), (-1, -2), (1, 2)
PLEASE
Answer:
0(-1,2),(0,6),(1,10)
Susan gets $12.75 per hour for babysitting. If she babysits for 2.5 hours, how much money will she earn?
Answer:
31.42
Step-by-step explanation:
Help anyone
8th grade math need it asap
Answer:
[tex] \frac{7}{10} [/tex]
Answer:
7/10
Step-by-step explanation:
If you move the decimal point to over to the right, also known as multiplying by a hundred, then you get 70. Right now we have 70/100
Simplify even further you would get 7 / 10
is 3x+y=12 linear or nonlinear
Answer: It is linear
6a-2z
Please help me
Answer:
2(3a-z)
cannot be further simplified
Step-by-step explanation:
Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?
Answer:
Yes
Step-by-step explanation:
This is becuase 46 x 1.06= 48.76, thats less than $50.
Answer:
yes
Step-by-step explanation:
tax will be $2.76 therefore it will come up to $48.76
Which line is parallel to y = -5/2x - 7?*
O 2x + 5 y = -5
O 2x - 5 y = 30
O 5x + 2y = 4
O 5x-2y = 8
Answer:
the answer is
5x + 2y = 4
please help with math
Find the slope of the line in the given graph.
Answer:
option A, 3/4
Step-by-step explanation:
slope / gradient formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the 2 coordinates from the graph
i) (-2,3)
x1 = -2
y1 = 3
ii) (2,6)
x2 = 2
y2 = 6
[tex] \frac{y 2 - y1}{x2 - x1} [/tex]
[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]
[tex] \frac{3}{2 + 2} [/tex]
[tex] \frac{3}{4} [/tex]
The model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth.
Answer: 75.1
Step-by-step explanation:
Answer:
86.0*
Step-by-step explanation:
i am not 100% sure
A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?
Answer:
25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Step-by-step explanation:
Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:
25 x 1 + 5 x 0 = 25
25 x 0.9 + 5 x 0.1 = 23
25 x 0.8 + 5 x 0.2 = 21
25 x 0.7 + 5 x 0.3 = 19
25 x 0.6 + 5 x 0.4 = 17
25 x 0.5 + 5 x 0.5 = 15
25 x 0.4 + 5 x 0.6 = 13
25 x 0.3 + 5 x 0.7 = 11
25 x 0.2 + 5 x 0.8 = 9
Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:
25 x 0.25 + 5 x 0.75 = 10
Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Merry Christmas please help
Answer:
A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence WThe cafeteria offers two snack options as shown in the table. Out of 18
students, 8 students choose Option B and the rest choose Option A. If the
total cost of option A is the same as the option B, what is the price of a
carton of milk?”
Answer:69,420
Step-by-step explanation:
9+10=21
The price of a carton of milk is $1.00
The given parameters are:
Number of students, n = 18Option A = 8Since 8 chose option A, it means that 10 would choose option B
So, the equation that represents when both price are equal is:
[tex]8(2x + 0.5) = 10(x + 1)[/tex]
Where
2x + 0.5 represents the unit price of option A
x + 1 represents the unit price of option B
Open the brackets
[tex]16x + 4 = 10x + 10[/tex]
Collect like terms
[tex]16x - 10x = 10 - 4[/tex]
Evaluate the like terms
[tex]6x = 6[/tex]
Divide
[tex]x = 1[/tex]
Hence, the price of a carton of milk is $1.00
Read more about equivalent equations at:
https://brainly.com/question/2972832
What is 40% of 25 is it
A. 62.50%
B. 16%
C. 160%
D. 10%
Step-by-step explanation:
D. 10 %
hope it helps!
.......
What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
1/5 = 20%
x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!
Step-by-step explanation:
For the left end of the function, it moves up towards positive infinity.
For the right end of the function, it movea down towarda negative infinity.
Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)
i need a step by step explanation
Answer:
1/2c-4
Step-by-step explanation:
First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.
graph the image of triangle PQR after a reflection across the line y = 2
Answer: Refer to the diagram below
P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)================================================
Explanation:
The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.
The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.
Answer:
If we draw the line of y=2 and if we find the reflections we have the new points of...
R(-6,4)Q(1,9)P(-7,9)Now all we have to do it plot these points, and then we have the triangle PQR
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Question #2
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
is (-3,-2)
Step-by-step explanation:
because you are graphing them on a chart find
Answer:
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
Did the unit test review got it right.
Step-by-step explanation:
Arthemeatic sequence
Answer:
14
Step-by-step explanation:
its going down by 11
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
can u pls help me with this question
IM DOING THIS IN CLASS HELP! Yesterday, there was 4 inches of snow on the ground. It snowed overnight and now there is 6 inches of snow on the ground. What integer represents the amount of snow on the ground now
Answer:
6
Step-by-step explanation:
6 inches of snow is an amount above ground, so it is represented by a positive integer.
Answer: 6
Answer:
Firstly, it was 4 inches
After snowing it becomes (4+6)= 10 inches;
From ground it is 10 inches of snow
So, 10 inches is the right answer.
The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.
a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.
b. Predict how many years it will be until the account is worth $5,000.
Answer: did this on edge
a. 19 months
b. 27 years
Step-by-step explanation: hope this helps:)
1
Plug the function y=1000(1.005)^x into your graphing calculator.
2
Put a split screen table. Use the table to find where x months will equal $1100
3
~19 months=1100
4
Use the table to find where x months is equal to $5000.
5
~27 years=5000
RESULT
a. 19 months
b. 27 years
if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals
Answer:
[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]
[tex]\frac{8r+8s}{15x-15y} = ?[/tex]
Step 2: Find Unknown
Multiply both sides by 8/15: [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply: [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify: [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:
Answer:
Right
Step-by-step explanation:
Trust me
Answer:
lion
Step-by-step explanation:
you multiply what is outside the parenthesis to everything inside the parenthesis