Answer:
Luis's balance = $25,283.33
Step-by-step explanation:
Given the following data;
Principal = $25,000Interest rate, R = 1.7 %Time = 8 monthsTo find how much money Luis will have;
First of all, we would have to convert the value of time in months to a year.
Conversion:
12 months = 1 year
8 months = X year
Cross-multiplying, we have;
12 * X = 8
X = 8/12
X = 2/3 years
To find the simple interest, we would use the formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.Substituting the values into the formula, we have;
[tex] S.I = \frac {25,000 * 1.7 * \frac {2}{3}}{100} [/tex]
[tex] S.I = \frac {28333.33}{100} [/tex]
S.I = $283.33
Luis's balance = S.I + Principal
Luis's balance = 283.33 + 25000
Luis's balance = $25,283.33
(4 + 7)[tex]^{2}[/tex] + 2[tex]^{3}[/tex]
Step-by-step explanation:
(4+7)^2=11^2=121
2^3=8
121+8=129
Answer:
= 121
Step-by-step explanation:
it's algebra questions. in Algebra there are some formula are necessary to remember.
(4+7)²+2³
> (4²+2×4×7+7²)+2×2×2×2
> (4×4+2×4×7+7×7)+16
> 8 +56+49+16
> 129
• Equation (4+7)²+2³ is equal to 129.
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Answer:
option C.
Step-by-step explanation:
since the graph y = 6x is shrunk by a factor of ½
it becomes y = 3x
to find one coordinate of this graph we put x = 1 so that we get y = 3
so one point we have is (1, 3).
and the other point is origin
[ for if you keep x = 0 then 3 × 0 = 0 so y comes 0 too.]
now this graph is translated 9 units in the negative y direction
so the point that initially was (0, 0) now becomes (0, -9).
we see that the only graph passing thru (0, -9) is C.
so the answer is option C.
[tex] \\[/tex]
[tex] \mathfrak{hope \: this \: helps \: ツ} [/tex]
Can someone please help?
Answer:
Step-by-step explanation:
What is the value of h in the diagram below?
Answer:
from what I know I think the answer is D_24
Your classmate simplified the following rational expression and asked you if you got the same answer. Determine whether the answer below is correct. If it is not correct, simplify the expression. Show all of your work.
Rational expression: (x^(2)-1) / (x^(2)-4x-5) ÷ (2x^(2)+4x) / (6x^(2)-30x)
Your friend's answer: (2x(x-1)(x+2)) / (6x(x-5)(x-5))
Answer:
The friend's answer is incorrect.
The correct answer is:
[tex] \dfrac{3(x - 1)}{x + 2} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2 - 1}{x^2 - 4x - 5} \div \dfrac{2x^2 + 4x}{6x^2 - 30x} = [/tex]
To divide by a fraction, multiply by its reciprocal.
[tex] = \dfrac{x^2 - 1}{x^2 - 4x - 5} \times \dfrac{6x^2 - 30x}{2x^2 + 4x} [/tex]
Multiply the numerators together. Multiply the denominators together.
[tex] = \dfrac{(x^2 - 1)(6x^2 - 30x)}{(x^2 - 4x - 5)(2x^2 + 4x)} [/tex]
Factor every polynomial.
[tex] = \dfrac{(x - 1)(x + 1)(6x)(x - 5)}{(x - 5)(x + 1)(2x)(x + 2)} [/tex]
Divide the numerator and denominator by the common terms.
[tex] = \dfrac{(x - 1)(6)}{(2)(x + 2)} [/tex]
[tex] = \dfrac{3(x - 1)}{x + 2} [/tex]
The friend's answer is incorrect.
The correct answer is:
[tex] \dfrac{3(x - 1)}{x + 2} [/tex]
- CA Geometry A Illuminate
Answer:
3
Step-by-step explanation:
Select all that apply Which of the following are characteristics of frequency tables? Multiple select question. They can be used for qualitative data. They can be used for quantitative data. No observation can fit into more than one class. The percentage of observations in each class is provided.
Answer:
They can be used for quantitative dataThey can be used for qualitative data.No observation can fit into more than one classStep-by-step explanation:
The frequency table refers to the number of times the event occurs and lists the items shown by value and thus is quantitative and qualitative such as graphs and numerical summary.The following are characteristics of frequency tables:
They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one classA frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.
organize raw data into the readable datadisplays the frequency of various outcomes of the sample.count of occurrences of that outcome used for qualitative as well as quantitative data.Thus, the correct answer is -
They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one classLearn more about frequency distribution:
https://brainly.com/question/12635271
45 girls and 30 boys ratio in the lowest terms
Answer:
3:2
Step-by-step explanation:
45, 30
both divisible by 15, so:
3 : 2
bc :
3*15 = 45
2*15 = 30
Answer: 2/3
Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3
please help me if you know ans of the equation given in the attachment
(full steps required)
(No spam answers or else you'll be reported)
Step-by-step explanation:
x=y³/z
(y³/z) to the power of a = y to the power of b
[tex] {y}^{3a} \div {z}^{a} = {y}^{b} [/tex]
[tex] {y}^{3} \div z = {y}^{b \div a} [/tex]
[tex] {y}^{3 \div b} \div {z}^{1 \div b} = {y}^{1 \div a} [/tex]
[tex] {y}^{3 \div b} = {y}^{1 \div a} {z}^{1 \div b} [/tex]
[tex] {y}^{b} = {z}^{c} [/tex]
[tex]z = {y}^{b \div c} [/tex]
[tex] {y}^{3 \div b} = {y}^{1 \div a} \times ({y^{b \div c} })^{1 \div b} [/tex]
[tex] {y}^{3 \div b} = {y}^{1 \div a} \times {y}^{1 \div c} [/tex]
as b/c × 1/b = 1/c
and so we see based on the exponents that
3/b = 1/a + 1/c
Jason is asked to graph this system of equations:
3x+y=2
2y+6x=4
How many times will the lines intersect?
Hello!
· {3x + y = 2 · {y = 2 - 3x
· {2y + 6x = 4 · {2(2 - 3x) + 6x = 4
· {y = 2 - 3x · {y = 2 - 3x
· {4 - 6x + 6x = 4 · {4 - 12x = 4
· {y = 2 - 3x · {y = 2 - 3x
· {12x = 4 + 4 · {12x = 8
· {y = 2 - 3x · {y = 2 - 3 • 8/12
· {x = 8/12 · {x = 8/12
· {y = 2 - 2 · {y = 0
· {x = 8/12 · {x = 8/12
Good luck! :)
pls help 10 points each 2 question due in 30 mins
Answer: 108cm%2F%222+cm%22=54 .
Then you would add more rows like that for a total of
72cm%2F%222+cm%22=36 rows.
Step-by-step explanation:
many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.
It is possible because 72 and 108 are both divisible by 2.
You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,
Really hope this helped couldnt really see it
Laura is taking her family to an ice show. Each ticket costs $15, and programs
cost $6 each. She has $97. She buys 5 tickets and wants to figure out the
greatest number of programs she can buy.
If x = number of tickets and y= number of programs, which of the following
inequalities could you use to find the answer to the problem?
A. X+ y = 97
B. 15 + 6y s 97
C. 15x + 6ys 97
D. 15x + 6y2 97
Answer:
Im not sure what the answer choices are supposed to be but i think it's out of C or D.
Step-by-step explanation:
simplify.
1/4(1−2/3)^2+1/3
Answer:
13/36
Step-by-step explanation:
1 - 2/3 equals 1/3 which is inside the parenthesis
square the number in parenthesis (1/3) and it equals 1/9
multiply the 2 fractions 1/4 and 1/9 to get 1/36
finally add 1/3 with 1/36
12/36 + 1/36 would equal 13/36
A telephone company charges $40.00 per month for cell phone usage that does not exceed 750 minutes. Any usage over 750 minutes is charged at a rate of $0.45 a minute. If a customer uses a cell phone for 977 minutes in a month, how much will that monthly cell phone bill be?
In this unit, you explored different reasons and incentives to save, such as saving for a down payment on a large purchase, financial security for emergencies, and tax advantages. Imagine that it’s 10 to 15 years into the future, and you’ve secured your dream job. Which reasons or incentives to save money resonate the most with you? Explain your reasoning.
Answer:
Financial Freedom
Step-by-step explanation:
In my personal opinion, the biggest reason/incentive for saving would be Financial Freedom. This is the ability to not have to depend on a full-time job in order to survive and be able to live off of the passive income being produced by the money that you saved. If you save enough money and invest it correctly you can live off of the interest that is being generated from those investments. This allows you to not have to work a full-time job and instead free's up your time to pursue meaningfull hobbies or even travel. I believe that is true freedom and it is something that motivates me to save money.
Question 3(Multiple Choice Worth 5 points)
(01.01 LC)
What is the decimal equivalent of 3/9
02
0.3
04
0,5
Answer:
0.3
Step-by-step explanation:
just divide on a calculator 3/9 and u get 0.3
Which of the following is the maximum value of the function y = −x^2 + 2x + 1?
Answer:
Step-by-step explanation:
We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:
[tex]-x^2+2x=-1[/tex] and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:
[tex]-1(x^2-2x)=-1[/tex] Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:
[tex]-1(x^2-2x+1)=-1-1[/tex]
On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:
[tex]-1(x-1)^2=-2[/tex] and we can move that constant back over and set the quadratic back equal to y:
[tex]y=-1(x-1)^2+2[/tex] which gives us a max height of 2.
(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))
Can someone help me with my summer school geometry work ?
Answer:
second one
Step-by-step explanation:
Which value could be the y-coordinate for point Q?
O 2/5
O 4/2
O 2/13
O 8/2
Answer:
2 rt5
Step-by-step explanation:
equation of circle
x^2 + y^2 = r^2
4^2 + y^2 = 6^2
16 + y^2 = 36
y^2 = 20
y = sqrt of 20
y = 2 rt5
Answer:
It is 2√5
Step-by-step explanation:
[tex]{ \bf{ {(x - a) + {(y - b)}^{2} = {r}^{2} } }} \\ { \tt{ {(4 - 0)}^{2} + {(y - 0)}^{2} = {6}^{2} }} \\ { \tt{16 + {y}^{2} = 36}} \\ { \tt{ {y}^{2} = 20 }} \\ { \tt{ {y} = \sqrt{5 \times 4} }} \\ { \tt{y = 2 \sqrt{5} }}[/tex]
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
9514 1404 393
Answer:
Y = 7.2
Step-by-step explanation:
We can multiply each element of the set by 5/6 and see which result is an integer. We find 5(7.2)/6 = 6, an integer.
Y = 7.2
what is rounding used to?
Answer:
rounding is used to make long/rough calculations cleaner or easier
Step-by-step explanation:
Answer:
Rounding is used in instances where you can only have a limited number of digits or You must round to the nearest digit.
Step-by-step explanation:
For example lets say i have the problem 12.5 + 4 + 3.2.
I am told to round up to the nearest whole number.
After adding all the numbers up, I find I have 19.7 since the tenths place is a 7, I would round up leaving my final answer as 20.
Which numbers belong to the solution set of the inequality?
X+ 9 < 78
A. 70, 72, 74, 80
B. 44, 50, 54, 68
C. 50, 62, 66, 71
D. 87, 89, 92,95
Answer: B
Step-by-step explanation:
x+9<78 => x< 78-9=> x< 69 => b right
Answer:
B.44,50,54,68
Step-by-step explanation:
40+9<78
50+9<78
54+9<78
68+9<78
Do you prefer calculating in scientific notation or standard notation? Why?
Make sure you explain your reasoning for full credit.
Answer:
This is about your opinion, not mine, but here's my opinion.
Don't copy and paste because anything can be found with good filters.
Essentially, just paraphrase or something.
Step-by-step explanation:
I prefer standard notation when calculating with small digits under 6 zeros because it is more visually simpler to view. When a number is involved with more digits, I prefer scientific notation because it is unlikely that I will lose track of how many digits there are.
A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x
Answer: 32
Step-by-step explanation:
total= 180
180-148=32
FOR BRAINLIEST ANSWER ONLY THE GIVEN-NUMBERS:
2.
3.
4.
Answer:
2.) (3,-2)
3.) (5,3)
4.) *Still trying to solve*
Step-by-step explanation:
2.)
Step 1.
5x + 4y = 7
3x - 4y = 17
+ ------------------
8x = 24
8 8
x = 3
Step 2.
5x + 4y = 7
5(3) + 4y = 7
15 + 4y = 7
-15 -15
4y = -8
4 4
y = -2
Final Answer: (3,-2)
3.
Step 1.
4x + 5y = 35
x = 2y - 1
4(2y - 1) + 5y = 35
8y - 4 + 5y = 35
13y - 4 = 35
+4 +4
13y = 39
13 13
y = 3
Step 2.
x = 2y - 1
x = 2(3) - 1
x = 6 - 1
x = 5
Final Answer: (5,3)
I do apologize that I couldn't find the solution to 4.) if I do I will edit this answer
I hope this helps!
Evaluate the expression: 10 - 1 × (2 + 1)2
Hello!
10 - 1 × (2 + 1)2 =
= 10 - 1 × 3 × 2 =
= 10 - 3 × 2 =
= 10 - 6 =
= 4
Good luck! :)
Answer:
4
Step-by-step explanation:
10-1*2(3)
10-1*6
10-6
4
plzzzz helppp only have 30 minsss left
Answer:
(x+6)^2 +(y-4)^2 = 49
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 +(y-4)^2 = 7^2
(x+6)^2 +(y-4)^2 = 49
Plsss help!! In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
90°
Those three sides make a right triangle,
√(84²+13²) = 85
So angle C is 90°
Answered by GAUTHMATH
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
Answer:
[tex] \frac{ - 2}{5} [/tex]
Step-by-step explanation:
Rise over run can help find the slope of a line segment.
[tex] \frac{(2 - 0)}{(0 - 5)} = - 2 \div 5[/tex]
Answer:
-2/5x+5=y the slope is -2/5 x
Step-by-step explanation:
A store sells two different fruit baskets with mangos and kiwis. The first basket has 2 mangos and 3 kiwis for $9.00. The second basket has 5 mangos and 2 kiwis for $14.25. Find the cost of each type of fruit.
Answer:
kiwis = $1.5
mangoes = $2.25
Step-by-step explanation:
Two equations can be derived from the question
2m + 3k = 9 equation 1
5m + 2k = 14.25 equation 2
m = mangoes
k = kiwis
multiply equation 1 by 5 and 2 by 2
10m + 15k = 45 equation 3
10m +4k = 28.5 equation 4
Subtract equation 4 from 3
11k = 16.5
k = 1.5
Substitute for k in equation 1
2m + 3(1.5) = 9
2m + 4.5 = 9
2m = 4.5
m = 2.25
